problem solving step include

What is Problem Solving? (Steps, Techniques, Examples)

By Status.net Editorial Team on May 7, 2023 — 5 minutes to read

What Is Problem Solving?

Definition and importance.

Problem solving is the process of finding solutions to obstacles or challenges you encounter in your life or work. It is a crucial skill that allows you to tackle complex situations, adapt to changes, and overcome difficulties with ease. Mastering this ability will contribute to both your personal and professional growth, leading to more successful outcomes and better decision-making.

Problem-Solving Steps

The problem-solving process typically includes the following steps:

Identify the issue : Recognize the problem that needs to be solved.
Analyze the situation : Examine the issue in depth, gather all relevant information, and consider any limitations or constraints that may be present.
Generate potential solutions : Brainstorm a list of possible solutions to the issue, without immediately judging or evaluating them.
Evaluate options : Weigh the pros and cons of each potential solution, considering factors such as feasibility, effectiveness, and potential risks.
Select the best solution : Choose the option that best addresses the problem and aligns with your objectives.
Implement the solution : Put the selected solution into action and monitor the results to ensure it resolves the issue.
Review and learn : Reflect on the problem-solving process, identify any improvements or adjustments that can be made, and apply these learnings to future situations.

Defining the Problem

To start tackling a problem, first, identify and understand it. Analyzing the issue thoroughly helps to clarify its scope and nature. Ask questions to gather information and consider the problem from various angles. Some strategies to define the problem include:

Brainstorming with others
Asking the 5 Ws and 1 H (Who, What, When, Where, Why, and How)
Analyzing cause and effect
Creating a problem statement

Generating Solutions

Once the problem is clearly understood, brainstorm possible solutions. Think creatively and keep an open mind, as well as considering lessons from past experiences. Consider:

Creating a list of potential ideas to solve the problem
Grouping and categorizing similar solutions
Prioritizing potential solutions based on feasibility, cost, and resources required
Involving others to share diverse opinions and inputs

Evaluating and Selecting Solutions

Evaluate each potential solution, weighing its pros and cons. To facilitate decision-making, use techniques such as:

SWOT analysis (Strengths, Weaknesses, Opportunities, Threats)
Decision-making matrices
Pros and cons lists
Risk assessments

After evaluating, choose the most suitable solution based on effectiveness, cost, and time constraints.

Implementing and Monitoring the Solution

Implement the chosen solution and monitor its progress. Key actions include:

Communicating the solution to relevant parties
Setting timelines and milestones
Assigning tasks and responsibilities
Monitoring the solution and making adjustments as necessary
Evaluating the effectiveness of the solution after implementation

Utilize feedback from stakeholders and consider potential improvements. Remember that problem-solving is an ongoing process that can always be refined and enhanced.

Problem-Solving Techniques

During each step, you may find it helpful to utilize various problem-solving techniques, such as:

Brainstorming : A free-flowing, open-minded session where ideas are generated and listed without judgment, to encourage creativity and innovative thinking.
Root cause analysis : A method that explores the underlying causes of a problem to find the most effective solution rather than addressing superficial symptoms.
SWOT analysis : A tool used to evaluate the strengths, weaknesses, opportunities, and threats related to a problem or decision, providing a comprehensive view of the situation.
Mind mapping : A visual technique that uses diagrams to organize and connect ideas, helping to identify patterns, relationships, and possible solutions.

Brainstorming

When facing a problem, start by conducting a brainstorming session. Gather your team and encourage an open discussion where everyone contributes ideas, no matter how outlandish they may seem. This helps you:

Generate a diverse range of solutions
Encourage all team members to participate
Foster creative thinking

When brainstorming, remember to:

Reserve judgment until the session is over
Encourage wild ideas
Combine and improve upon ideas

Root Cause Analysis

For effective problem-solving, identifying the root cause of the issue at hand is crucial. Try these methods:

5 Whys : Ask “why” five times to get to the underlying cause.
Fishbone Diagram : Create a diagram representing the problem and break it down into categories of potential causes.
Pareto Analysis : Determine the few most significant causes underlying the majority of problems.

SWOT Analysis

SWOT analysis helps you examine the Strengths, Weaknesses, Opportunities, and Threats related to your problem. To perform a SWOT analysis:

List your problem’s strengths, such as relevant resources or strong partnerships.
Identify its weaknesses, such as knowledge gaps or limited resources.
Explore opportunities, like trends or new technologies, that could help solve the problem.
Recognize potential threats, like competition or regulatory barriers.

SWOT analysis aids in understanding the internal and external factors affecting the problem, which can help guide your solution.

Mind Mapping

A mind map is a visual representation of your problem and potential solutions. It enables you to organize information in a structured and intuitive manner. To create a mind map:

Write the problem in the center of a blank page.
Draw branches from the central problem to related sub-problems or contributing factors.
Add more branches to represent potential solutions or further ideas.

Mind mapping allows you to visually see connections between ideas and promotes creativity in problem-solving.

Examples of Problem Solving in Various Contexts

In the business world, you might encounter problems related to finances, operations, or communication. Applying problem-solving skills in these situations could look like:

Identifying areas of improvement in your company’s financial performance and implementing cost-saving measures
Resolving internal conflicts among team members by listening and understanding different perspectives, then proposing and negotiating solutions
Streamlining a process for better productivity by removing redundancies, automating tasks, or re-allocating resources

In educational contexts, problem-solving can be seen in various aspects, such as:

Addressing a gap in students’ understanding by employing diverse teaching methods to cater to different learning styles
Developing a strategy for successful time management to balance academic responsibilities and extracurricular activities
Seeking resources and support to provide equal opportunities for learners with special needs or disabilities

Everyday life is full of challenges that require problem-solving skills. Some examples include:

Overcoming a personal obstacle, such as improving your fitness level, by establishing achievable goals, measuring progress, and adjusting your approach accordingly
Navigating a new environment or city by researching your surroundings, asking for directions, or using technology like GPS to guide you
Dealing with a sudden change, like a change in your work schedule, by assessing the situation, identifying potential impacts, and adapting your plans to accommodate the change.
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40 problem-solving techniques and processes

All teams and organizations encounter challenges. Approaching those challenges without a structured problem solving process can end up making things worse.

Proven problem solving techniques such as those outlined below can guide your group through a process of identifying problems and challenges , ideating on possible solutions , and then evaluating and implementing the most suitable .

In this post, you'll find problem-solving tools you can use to develop effective solutions. You'll also find some tips for facilitating the problem solving process and solving complex problems.

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What is problem solving?

Problem solving is a process of finding and implementing a solution to a challenge or obstacle. In most contexts, this means going through a problem solving process that begins with identifying the issue, exploring its root causes, ideating and refining possible solutions before implementing and measuring the impact of that solution.

For simple or small problems, it can be tempting to skip straight to implementing what you believe is the right solution. The danger with this approach is that without exploring the true causes of the issue, it might just occur again or your chosen solution may cause other issues.

Particularly in the world of work, good problem solving means using data to back up each step of the process, bringing in new perspectives and effectively measuring the impact of your solution.

Effective problem solving can help ensure that your team or organization is well positioned to overcome challenges, be resilient to change and create innovation. In my experience, problem solving is a combination of skillset, mindset and process, and it’s especially vital for leaders to cultivate this skill.

A group of people looking at a poster with notes on it

What is the seven step problem solving process?

A problem solving process is a step-by-step framework from going from discovering a problem all the way through to implementing a solution.

With practice, this framework can become intuitive, and innovative companies tend to have a consistent and ongoing ability to discover and tackle challenges when they come up.

You might see everything from a four step problem solving process through to seven steps. While all these processes cover roughly the same ground, I’ve found a seven step problem solving process is helpful for making all key steps legible.

We’ll outline that process here and then follow with techniques you can use to explore and work on that step of the problem solving process with a group.

The seven-step problem solving process is:

1. Problem identification

The first stage of any problem solving process is to identify the problem(s) you need to solve. This often looks like using group discussions and activities to help a group surface and effectively articulate the challenges they’re facing and wish to resolve.

Be sure to align with your team on the exact definition and nature of the problem you’re solving. An effective process is one where everyone is pulling in the same direction – ensure clarity and alignment now to help avoid misunderstandings later.

2. Problem analysis and refinement

The process of problem analysis means ensuring that the problem you are seeking to solve is the right problem . Choosing the right problem to solve means you are on the right path to creating the right solution.

At this stage, you may look deeper at the problem you identified to try and discover the root cause at the level of people or process. You may also spend some time sourcing data, consulting relevant parties and creating and refining a problem statement.

Problem refinement means adjusting scope or focus of the problem you will be aiming to solve based on what comes up during your analysis. As you analyze data sources, you might discover that the root cause means you need to adjust your problem statement. Alternatively, you might find that your original problem statement is too big to be meaningful approached within your current project.

Remember that the goal of any problem refinement is to help set the stage for effective solution development and deployment. Set the right focus and get buy-in from your team here and you’ll be well positioned to move forward with confidence.

3. Solution generation

Once your group has nailed down the particulars of the problem you wish to solve, you want to encourage a free flow of ideas connecting to solving that problem. This can take the form of problem solving games that encourage creative thinking or techniquess designed to produce working prototypes of possible solutions.

The key to ensuring the success of this stage of the problem solving process is to encourage quick, creative thinking and create an open space where all ideas are considered. The best solutions can often come from unlikely places and by using problem solving techniques that celebrate invention, you might come up with solution gold.

4. Solution development

No solution is perfect right out of the gate. It’s important to discuss and develop the solutions your group has come up with over the course of following the previous problem solving steps in order to arrive at the best possible solution. Problem solving games used in this stage involve lots of critical thinking, measuring potential effort and impact, and looking at possible solutions analytically.

During this stage, you will often ask your team to iterate and improve upon your front-running solutions and develop them further. Remember that problem solving strategies always benefit from a multitude of voices and opinions, and not to let ego get involved when it comes to choosing which solutions to develop and take further.

Finding the best solution is the goal of all problem solving workshops and here is the place to ensure that your solution is well thought out, sufficiently robust and fit for purpose.

5. Decision making and planning

Nearly there! Once you’ve got a set of possible, you’ll need to make a decision on which to implement. This can be a consensus-based group decision or it might be for a leader or major stakeholder to decide. You’ll find a set of effective decision making methods below.

Once your group has reached consensus and selected a solution, there are some additional actions that also need to be decided upon. You’ll want to work on allocating ownership of the project, figure out who will do what, how the success of the solution will be measured and decide the next course of action.

Set clear accountabilities, actions, timeframes, and follow-ups for your chosen solution. Make these decisions and set clear next-steps in the problem solving workshop so that everyone is aligned and you can move forward effectively as a group.

Ensuring that you plan for the roll-out of a solution is one of the most important problem solving steps. Without adequate planning or oversight, it can prove impossible to measure success or iterate further if the problem was not solved.

6. Solution implementation

This is what we were waiting for! All problem solving processes have the end goal of implementing an effective and impactful solution that your group has confidence in.

Project management and communication skills are key here – your solution may need to adjust when out in the wild or you might discover new challenges along the way. For some solutions, you might also implement a test with a small group and monitor results before rolling it out to an entire company.

You should have a clear owner for your solution who will oversee the plans you made together and help ensure they’re put into place. This person will often coordinate the implementation team and set-up processes to measure the efficacy of your solution too.

7. Solution evaluation

So you and your team developed a great solution to a problem and have a gut feeling it’s been solved. Work done, right? Wrong. All problem solving strategies benefit from evaluation, consideration, and feedback.

You might find that the solution does not work for everyone, might create new problems, or is potentially so successful that you will want to roll it out to larger teams or as part of other initiatives.

None of that is possible without taking the time to evaluate the success of the solution you developed in your problem solving model and adjust if necessary.

Remember that the problem solving process is often iterative and it can be common to not solve complex issues on the first try. Even when this is the case, you and your team will have generated learning that will be important for future problem solving workshops or in other parts of the organization.

It’s also worth underlining how important record keeping is throughout the problem solving process. If a solution didn’t work, you need to have the data and records to see why that was the case. If you go back to the drawing board, notes from the previous workshop can help save time.

What does an effective problem solving process look like?

Every effective problem solving process begins with an agenda . In our experience, a well-structured problem solving workshop is one of the best methods for successfully guiding a group from exploring a problem to implementing a solution.

The format of a workshop ensures that you can get buy-in from your group, encourage free-thinking and solution exploration before making a decision on what to implement following the session.

This Design Sprint 2.0 template is an effective problem solving process from top agency AJ&Smart. It’s a great format for the entire problem solving process, with four-days of workshops designed to surface issues, explore solutions and even test a solution.

Check it for an example of how you might structure and run a problem solving process and feel free to copy and adjust it your needs!

For a shorter process you can run in a single afternoon, this remote problem solving agenda will guide you effectively in just a couple of hours.

Whatever the length of your workshop, by using SessionLab, it’s easy to go from an idea to a complete agenda . Start by dragging and dropping your core problem solving activities into place . Add timings, breaks and necessary materials before sharing your agenda with your colleagues.

The resulting agenda will be your guide to an effective and productive problem solving session that will also help you stay organized on the day!

Complete problem-solving methods

In this section, we’ll look at in-depth problem-solving methods that provide a complete end-to-end process for developing effective solutions. These will help guide your team from the discovery and definition of a problem through to delivering the right solution.

If you’re looking for an all-encompassing method or problem-solving model, these processes are a great place to start. They’ll ask your team to challenge preconceived ideas and adopt a mindset for solving problems more effectively.

Six Thinking Hats

Individual approaches to solving a problem can be very different based on what team or role an individual holds. It can be easy for existing biases or perspectives to find their way into the mix, or for internal politics to direct a conversation.

Six Thinking Hats is a classic method for identifying the problems that need to be solved and enables your team to consider them from different angles, whether that is by focusing on facts and data, creative solutions, or by considering why a particular solution might not work.

Like all problem-solving frameworks, Six Thinking Hats is effective at helping teams remove roadblocks from a conversation or discussion and come to terms with all the aspects necessary to solve complex problems.

The Six Thinking Hats #creative thinking #meeting facilitation #problem solving #issue resolution #idea generation #conflict resolution The Six Thinking Hats are used by individuals and groups to separate out conflicting styles of thinking. They enable and encourage a group of people to think constructively together in exploring and implementing change, rather than using argument to fight over who is right and who is wrong.

Lightning Decision Jam

Featured courtesy of Jonathan Courtney of AJ&Smart Berlin, Lightning Decision Jam is one of those strategies that should be in every facilitation toolbox. Exploring problems and finding solutions is often creative in nature, though as with any creative process, there is the potential to lose focus and get lost.

Unstructured discussions might get you there in the end, but it’s much more effective to use a method that creates a clear process and team focus.

In Lightning Decision Jam, participants are invited to begin by writing challenges, concerns, or mistakes on post-its without discussing them before then being invited by the moderator to present them to the group.

From there, the team vote on which problems to solve and are guided through steps that will allow them to reframe those problems, create solutions and then decide what to execute on.

By deciding the problems that need to be solved as a team before moving on, this group process is great for ensuring the whole team is aligned and can take ownership over the next stages.

Lightning Decision Jam (LDJ) #action #decision making #problem solving #issue analysis #innovation #design #remote-friendly It doesn’t matter where you work and what your job role is, if you work with other people together as a team, you will always encounter the same challenges: Unclear goals and miscommunication that cause busy work and overtime Unstructured meetings that leave attendants tired, confused and without clear outcomes. Frustration builds up because internal challenges to productivity are not addressed Sudden changes in priorities lead to a loss of focus and momentum Muddled compromise takes the place of clear decision- making, leaving everybody to come up with their own interpretation. In short, a lack of structure leads to a waste of time and effort, projects that drag on for too long and frustrated, burnt out teams. AJ&Smart has worked with some of the most innovative, productive companies in the world. What sets their teams apart from others is not better tools, bigger talent or more beautiful offices. The secret sauce to becoming a more productive, more creative and happier team is simple: Replace all open discussion or brainstorming with a structured process that leads to more ideas, clearer decisions and better outcomes. When a good process provides guardrails and a clear path to follow, it becomes easier to come up with ideas, make decisions and solve problems. This is why AJ&Smart created Lightning Decision Jam (LDJ). It’s a simple and short, but powerful group exercise that can be run either in-person, in the same room, or remotely with distributed teams.

Problem Definition Process

While problems can be complex, the problem-solving methods you use to identify and solve those problems can often be simple in design.

By taking the time to truly identify and define a problem before asking the group to reframe the challenge as an opportunity, this method is a great way to enable change.

Begin by identifying a focus question and exploring the ways in which it manifests before splitting into five teams who will each consider the problem using a different method: escape, reversal, exaggeration, distortion or wishful. Teams develop a problem objective and create ideas in line with their method before then feeding them back to the group.

This method is great for enabling in-depth discussions while also creating space for finding creative solutions too!

Problem Definition #problem solving #idea generation #creativity #online #remote-friendly A problem solving technique to define a problem, challenge or opportunity and to generate ideas.

The 5 Whys

Sometimes, a group needs to go further with their strategies and analyze the root cause at the heart of organizational issues. An RCA or root cause analysis is the process of identifying what is at the heart of business problems or recurring challenges.

The 5 Whys is a simple and effective method of helping a group go find the root cause of any problem or challenge and conduct analysis that will deliver results.

By beginning with the creation of a problem statement and going through five stages to refine it, The 5 Whys provides everything you need to truly discover the cause of an issue.

The 5 Whys #hyperisland #innovation This simple and powerful method is useful for getting to the core of a problem or challenge. As the title suggests, the group defines a problems, then asks the question “why” five times, often using the resulting explanation as a starting point for creative problem solving.

World Cafe is a simple but powerful facilitation technique to help bigger groups to focus their energy and attention on solving complex problems.

World Cafe enables this approach by creating a relaxed atmosphere where participants are able to self-organize and explore topics relevant and important to them which are themed around a central problem-solving purpose. Create the right atmosphere by modeling your space after a cafe and after guiding the group through the method, let them take the lead!

Making problem-solving a part of your organization’s culture in the long term can be a difficult undertaking. More approachable formats like World Cafe can be especially effective in bringing people unfamiliar with workshops into the fold.

World Cafe #hyperisland #innovation #issue analysis World Café is a simple yet powerful method, originated by Juanita Brown, for enabling meaningful conversations driven completely by participants and the topics that are relevant and important to them. Facilitators create a cafe-style space and provide simple guidelines. Participants then self-organize and explore a set of relevant topics or questions for conversation.

Discovery & Action Dialogue (DAD)

One of the best approaches is to create a safe space for a group to share and discover practices and behaviors that can help them find their own solutions.

With DAD, you can help a group choose which problems they wish to solve and which approaches they will take to do so. It’s great at helping remove resistance to change and can help get buy-in at every level too!

This process of enabling frontline ownership is great in ensuring follow-through and is one of the methods you will want in your toolbox as a facilitator.

Discovery & Action Dialogue (DAD) #idea generation #liberating structures #action #issue analysis #remote-friendly DADs make it easy for a group or community to discover practices and behaviors that enable some individuals (without access to special resources and facing the same constraints) to find better solutions than their peers to common problems. These are called positive deviant (PD) behaviors and practices. DADs make it possible for people in the group, unit, or community to discover by themselves these PD practices. DADs also create favorable conditions for stimulating participants’ creativity in spaces where they can feel safe to invent new and more effective practices. Resistance to change evaporates as participants are unleashed to choose freely which practices they will adopt or try and which problems they will tackle. DADs make it possible to achieve frontline ownership of solutions.

Design Sprint 2.0

Want to see how a team can solve big problems and move forward with prototyping and testing solutions in a few days? The Design Sprint 2.0 template from Jake Knapp, author of Sprint, is a complete agenda for a with proven results.

Developing the right agenda can involve difficult but necessary planning. Ensuring all the correct steps are followed can also be stressful or time-consuming depending on your level of experience.

Use this complete 4-day workshop template if you are finding there is no obvious solution to your challenge and want to focus your team around a specific problem that might require a shortcut to launching a minimum viable product or waiting for the organization-wide implementation of a solution.

Open space technology

Open space technology- developed by Harrison Owen – creates a space where large groups are invited to take ownership of their problem solving and lead individual sessions. Open space technology is a great format when you have a great deal of expertise and insight in the room and want to allow for different takes and approaches on a particular theme or problem you need to be solved.

Start by bringing your participants together to align around a central theme and focus their efforts. Explain the ground rules to help guide the problem-solving process and then invite members to identify any issue connecting to the central theme that they are interested in and are prepared to take responsibility for.

Once participants have decided on their approach to the core theme, they write their issue on a piece of paper, announce it to the group, pick a session time and place, and post the paper on the wall. As the wall fills up with sessions, the group is then invited to join the sessions that interest them the most and which they can contribute to, then you’re ready to begin!

Everyone joins the problem-solving group they’ve signed up to, record the discussion and if appropriate, findings can then be shared with the rest of the group afterward.

Open Space Technology #action plan #idea generation #problem solving #issue analysis #large group #online #remote-friendly Open Space is a methodology for large groups to create their agenda discerning important topics for discussion, suitable for conferences, community gatherings and whole system facilitation

Techniques to identify and analyze problems

Using a problem-solving method to help a team identify and analyze a problem can be a quick and effective addition to any workshop or meeting.

While further actions are always necessary, you can generate momentum and alignment easily, and these activities are a great place to get started.

We’ve put together this list of techniques to help you and your team with problem identification, analysis, and discussion that sets the foundation for developing effective solutions.

Let’s take a look!

Fishbone Analysis

Organizational or team challenges are rarely simple, and it’s important to remember that one problem can be an indication of something that goes deeper and may require further consideration to be solved.

Fishbone Analysis helps groups to dig deeper and understand the origins of a problem. It’s a great example of a root cause analysis method that is simple for everyone on a team to get their head around.

Participants in this activity are asked to annotate a diagram of a fish, first adding the problem or issue to be worked on at the head of a fish before then brainstorming the root causes of the problem and adding them as bones on the fish.

Using abstractions such as a diagram of a fish can really help a team break out of their regular thinking and develop a creative approach.

Fishbone Analysis #problem solving ##root cause analysis #decision making #online facilitation A process to help identify and understand the origins of problems, issues or observations.

Problem Tree

Encouraging visual thinking can be an essential part of many strategies. By simply reframing and clarifying problems, a group can move towards developing a problem solving model that works for them.

In Problem Tree, groups are asked to first brainstorm a list of problems – these can be design problems, team problems or larger business problems – and then organize them into a hierarchy. The hierarchy could be from most important to least important or abstract to practical, though the key thing with problem solving games that involve this aspect is that your group has some way of managing and sorting all the issues that are raised.

Once you have a list of problems that need to be solved and have organized them accordingly, you’re then well-positioned for the next problem solving steps.

Problem tree #define intentions #create #design #issue analysis A problem tree is a tool to clarify the hierarchy of problems addressed by the team within a design project; it represents high level problems or related sublevel problems.

SWOT Analysis

Chances are you’ve heard of the SWOT Analysis before. This problem-solving method focuses on identifying strengths, weaknesses, opportunities, and threats is a tried and tested method for both individuals and teams.

Start by creating a desired end state or outcome and bare this in mind – any process solving model is made more effective by knowing what you are moving towards. Create a quadrant made up of the four categories of a SWOT analysis and ask participants to generate ideas based on each of those quadrants.

Once you have those ideas assembled in their quadrants, cluster them together based on their affinity with other ideas. These clusters are then used to facilitate group conversations and move things forward.

SWOT analysis #gamestorming #problem solving #action #meeting facilitation The SWOT Analysis is a long-standing technique of looking at what we have, with respect to the desired end state, as well as what we could improve on. It gives us an opportunity to gauge approaching opportunities and dangers, and assess the seriousness of the conditions that affect our future. When we understand those conditions, we can influence what comes next.

Agreement-Certainty Matrix

Not every problem-solving approach is right for every challenge, and deciding on the right method for the challenge at hand is a key part of being an effective team.

The Agreement Certainty matrix helps teams align on the nature of the challenges facing them. By sorting problems from simple to chaotic, your team can understand what methods are suitable for each problem and what they can do to ensure effective results.

If you are already using Liberating Structures techniques as part of your problem-solving strategy, the Agreement-Certainty Matrix can be an invaluable addition to your process. We’ve found it particularly if you are having issues with recurring problems in your organization and want to go deeper in understanding the root cause.

Agreement-Certainty Matrix #issue analysis #liberating structures #problem solving You can help individuals or groups avoid the frequent mistake of trying to solve a problem with methods that are not adapted to the nature of their challenge. The combination of two questions makes it possible to easily sort challenges into four categories: simple, complicated, complex , and chaotic . A problem is simple when it can be solved reliably with practices that are easy to duplicate. It is complicated when experts are required to devise a sophisticated solution that will yield the desired results predictably. A problem is complex when there are several valid ways to proceed but outcomes are not predictable in detail. Chaotic is when the context is too turbulent to identify a path forward. A loose analogy may be used to describe these differences: simple is like following a recipe, complicated like sending a rocket to the moon, complex like raising a child, and chaotic is like the game “Pin the Tail on the Donkey.” The Liberating Structures Matching Matrix in Chapter 5 can be used as the first step to clarify the nature of a challenge and avoid the mismatches between problems and solutions that are frequently at the root of chronic, recurring problems.

Organizing and charting a team’s progress can be important in ensuring its success. SQUID (Sequential Question and Insight Diagram) is a great model that allows a team to effectively switch between giving questions and answers and develop the skills they need to stay on track throughout the process.

Begin with two different colored sticky notes – one for questions and one for answers – and with your central topic (the head of the squid) on the board. Ask the group to first come up with a series of questions connected to their best guess of how to approach the topic. Ask the group to come up with answers to those questions, fix them to the board and connect them with a line. After some discussion, go back to question mode by responding to the generated answers or other points on the board.

It’s rewarding to see a diagram grow throughout the exercise, and a completed SQUID can provide a visual resource for future effort and as an example for other teams.

SQUID #gamestorming #project planning #issue analysis #problem solving When exploring an information space, it’s important for a group to know where they are at any given time. By using SQUID, a group charts out the territory as they go and can navigate accordingly. SQUID stands for Sequential Question and Insight Diagram.

To continue with our nautical theme, Speed Boat is a short and sweet activity that can help a team quickly identify what employees, clients or service users might have a problem with and analyze what might be standing in the way of achieving a solution.

Methods that allow for a group to make observations, have insights and obtain those eureka moments quickly are invaluable when trying to solve complex problems.

In Speed Boat, the approach is to first consider what anchors and challenges might be holding an organization (or boat) back. Bonus points if you are able to identify any sharks in the water and develop ideas that can also deal with competitors!

Speed Boat #gamestorming #problem solving #action Speedboat is a short and sweet way to identify what your employees or clients don’t like about your product/service or what’s standing in the way of a desired goal.

The Journalistic Six

Some of the most effective ways of solving problems is by encouraging teams to be more inclusive and diverse in their thinking.

Based on the six key questions journalism students are taught to answer in articles and news stories, The Journalistic Six helps create teams to see the whole picture. By using who, what, when, where, why, and how to facilitate the conversation and encourage creative thinking, your team can make sure that the problem identification and problem analysis stages of the are covered exhaustively and thoughtfully. Reporter’s notebook and dictaphone optional.

The Journalistic Six – Who What When Where Why How #idea generation #issue analysis #problem solving #online #creative thinking #remote-friendly A questioning method for generating, explaining, investigating ideas.

Individual and group perspectives are incredibly important, but what happens if people are set in their minds and need a change of perspective in order to approach a problem more effectively?

Flip It is a method we love because it is both simple to understand and run, and allows groups to understand how their perspectives and biases are formed.

Participants in Flip It are first invited to consider concerns, issues, or problems from a perspective of fear and write them on a flip chart. Then, the group is asked to consider those same issues from a perspective of hope and flip their understanding.

No problem and solution is free from existing bias and by changing perspectives with Flip It, you can then develop a problem solving model quickly and effectively.

Flip It! #gamestorming #problem solving #action Often, a change in a problem or situation comes simply from a change in our perspectives. Flip It! is a quick game designed to show players that perspectives are made, not born.

LEGO Challenge

Now for an activity that is a little out of the (toy) box. LEGO Serious Play is a facilitation methodology that can be used to improve creative thinking and problem-solving skills.

The LEGO Challenge includes giving each member of the team an assignment that is hidden from the rest of the group while they create a structure without speaking.

What the LEGO challenge brings to the table is a fun working example of working with stakeholders who might not be on the same page to solve problems. Also, it’s LEGO! Who doesn’t love LEGO!

LEGO Challenge #hyperisland #team A team-building activity in which groups must work together to build a structure out of LEGO, but each individual has a secret “assignment” which makes the collaborative process more challenging. It emphasizes group communication, leadership dynamics, conflict, cooperation, patience and problem solving strategy.

What, So What, Now What?

If not carefully managed, the problem identification and problem analysis stages of the problem-solving process can actually create more problems and misunderstandings.

The What, So What, Now What? problem-solving activity is designed to help collect insights and move forward while also eliminating the possibility of disagreement when it comes to identifying, clarifying, and analyzing organizational or work problems.

Facilitation is all about bringing groups together so that might work on a shared goal and the best problem-solving strategies ensure that teams are aligned in purpose, if not initially in opinion or insight.

Throughout the three steps of this game, you give everyone on a team to reflect on a problem by asking what happened, why it is important, and what actions should then be taken.

This can be a great activity for bringing our individual perceptions about a problem or challenge and contextualizing it in a larger group setting. This is one of the most important problem-solving skills you can bring to your organization.

W³ – What, So What, Now What? #issue analysis #innovation #liberating structures You can help groups reflect on a shared experience in a way that builds understanding and spurs coordinated action while avoiding unproductive conflict. It is possible for every voice to be heard while simultaneously sifting for insights and shaping new direction. Progressing in stages makes this practical—from collecting facts about What Happened to making sense of these facts with So What and finally to what actions logically follow with Now What . The shared progression eliminates most of the misunderstandings that otherwise fuel disagreements about what to do. Voila!

Journalists

Problem analysis can be one of the most important and decisive stages of all problem-solving tools. Sometimes, a team can become bogged down in the details and are unable to move forward.

Journalists is an activity that can avoid a group from getting stuck in the problem identification or problem analysis stages of the process.

In Journalists, the group is invited to draft the front page of a fictional newspaper and figure out what stories deserve to be on the cover and what headlines those stories will have. By reframing how your problems and challenges are approached, you can help a team move productively through the process and be better prepared for the steps to follow.

Journalists #vision #big picture #issue analysis #remote-friendly This is an exercise to use when the group gets stuck in details and struggles to see the big picture. Also good for defining a vision.

Problem-solving techniques for brainstorming solutions

Now you have the context and background of the problem you are trying to solving, now comes the time to start ideating and thinking about how you’ll solve the issue.

Here, you’ll want to encourage creative, free thinking and speed. Get as many ideas out as possible and explore different perspectives so you have the raw material for the next step.

Looking at a problem from a new angle can be one of the most effective ways of creating an effective solution. TRIZ is a problem-solving tool that asks the group to consider what they must not do in order to solve a challenge.

By reversing the discussion, new topics and taboo subjects often emerge, allowing the group to think more deeply and create ideas that confront the status quo in a safe and meaningful way. If you’re working on a problem that you’ve tried to solve before, TRIZ is a great problem-solving method to help your team get unblocked.

Making Space with TRIZ #issue analysis #liberating structures #issue resolution You can clear space for innovation by helping a group let go of what it knows (but rarely admits) limits its success and by inviting creative destruction. TRIZ makes it possible to challenge sacred cows safely and encourages heretical thinking. The question “What must we stop doing to make progress on our deepest purpose?” induces seriously fun yet very courageous conversations. Since laughter often erupts, issues that are otherwise taboo get a chance to be aired and confronted. With creative destruction come opportunities for renewal as local action and innovation rush in to fill the vacuum. Whoosh!

Mindspin

Brainstorming is part of the bread and butter of the problem-solving process and all problem-solving strategies benefit from getting ideas out and challenging a team to generate solutions quickly.

With Mindspin, participants are encouraged not only to generate ideas but to do so under time constraints and by slamming down cards and passing them on. By doing multiple rounds, your team can begin with a free generation of possible solutions before moving on to developing those solutions and encouraging further ideation.

This is one of our favorite problem-solving activities and can be great for keeping the energy up throughout the workshop. Remember the importance of helping people become engaged in the process – energizing problem-solving techniques like Mindspin can help ensure your team stays engaged and happy, even when the problems they’re coming together to solve are complex.

MindSpin #teampedia #idea generation #problem solving #action A fast and loud method to enhance brainstorming within a team. Since this activity has more than round ideas that are repetitive can be ruled out leaving more creative and innovative answers to the challenge.

The Creativity Dice

One of the most useful problem solving skills you can teach your team is of approaching challenges with creativity, flexibility, and openness. Games like The Creativity Dice allow teams to overcome the potential hurdle of too much linear thinking and approach the process with a sense of fun and speed.

In The Creativity Dice, participants are organized around a topic and roll a dice to determine what they will work on for a period of 3 minutes at a time. They might roll a 3 and work on investigating factual information on the chosen topic. They might roll a 1 and work on identifying the specific goals, standards, or criteria for the session.

Encouraging rapid work and iteration while asking participants to be flexible are great skills to cultivate. Having a stage for idea incubation in this game is also important. Moments of pause can help ensure the ideas that are put forward are the most suitable.

The Creativity Dice #creativity #problem solving #thiagi #issue analysis Too much linear thinking is hazardous to creative problem solving. To be creative, you should approach the problem (or the opportunity) from different points of view. You should leave a thought hanging in mid-air and move to another. This skipping around prevents premature closure and lets your brain incubate one line of thought while you consciously pursue another.

Idea and Concept Development

Brainstorming without structure can quickly become chaotic or frustrating. In a problem-solving context, having an ideation framework to follow can help ensure your team is both creative and disciplined.

In this method, you’ll find an idea generation process that encourages your group to brainstorm effectively before developing their ideas and begin clustering them together. By using concepts such as Yes and…, more is more and postponing judgement, you can create the ideal conditions for brainstorming with ease.

Idea & Concept Development #hyperisland #innovation #idea generation Ideation and Concept Development is a process for groups to work creatively and collaboratively to generate creative ideas. It’s a general approach that can be adapted and customized to suit many different scenarios. It includes basic principles for idea generation and several steps for groups to work with. It also includes steps for idea selection and development.

Problem-solving techniques for developing and refining solutions

The success of any problem-solving process can be measured by the solutions it produces. After you’ve defined the issue, explored existing ideas, and ideated, it’s time to develop and refine your ideas in order to bring them closer to a solution that actually solves the problem.

Use these problem-solving techniques when you want to help your team think through their ideas and refine them as part of your problem solving process.

Improved Solutions

After a team has successfully identified a problem and come up with a few solutions, it can be tempting to call the work of the problem-solving process complete. That said, the first solution is not necessarily the best, and by including a further review and reflection activity into your problem-solving model, you can ensure your group reaches the best possible result.

One of a number of problem-solving games from Thiagi Group, Improved Solutions helps you go the extra mile and develop suggested solutions with close consideration and peer review. By supporting the discussion of several problems at once and by shifting team roles throughout, this problem-solving technique is a dynamic way of finding the best solution.

Improved Solutions #creativity #thiagi #problem solving #action #team You can improve any solution by objectively reviewing its strengths and weaknesses and making suitable adjustments. In this creativity framegame, you improve the solutions to several problems. To maintain objective detachment, you deal with a different problem during each of six rounds and assume different roles (problem owner, consultant, basher, booster, enhancer, and evaluator) during each round. At the conclusion of the activity, each player ends up with two solutions to her problem.

Four Step Sketch

Creative thinking and visual ideation does not need to be confined to the opening stages of your problem-solving strategies. Exercises that include sketching and prototyping on paper can be effective at the solution finding and development stage of the process, and can be great for keeping a team engaged.

By going from simple notes to a crazy 8s round that involves rapidly sketching 8 variations on their ideas before then producing a final solution sketch, the group is able to iterate quickly and visually. Problem-solving techniques like Four-Step Sketch are great if you have a group of different thinkers and want to change things up from a more textual or discussion-based approach.

Four-Step Sketch #design sprint #innovation #idea generation #remote-friendly The four-step sketch is an exercise that helps people to create well-formed concepts through a structured process that includes: Review key information Start design work on paper, Consider multiple variations , Create a detailed solution . This exercise is preceded by a set of other activities allowing the group to clarify the challenge they want to solve. See how the Four Step Sketch exercise fits into a Design Sprint

Ensuring that everyone in a group is able to contribute to a discussion is vital during any problem solving process. Not only does this ensure all bases are covered, but its then easier to get buy-in and accountability when people have been able to contribute to the process.

1-2-4-All is a tried and tested facilitation technique where participants are asked to first brainstorm on a topic on their own. Next, they discuss and share ideas in a pair before moving into a small group. Those groups are then asked to present the best idea from their discussion to the rest of the team.

This method can be used in many different contexts effectively, though I find it particularly shines in the idea development stage of the process. Giving each participant time to concretize their ideas and develop them in progressively larger groups can create a great space for both innovation and psychological safety.

1-2-4-All #idea generation #liberating structures #issue analysis With this facilitation technique you can immediately include everyone regardless of how large the group is. You can generate better ideas and more of them faster than ever before. You can tap the know-how and imagination that is distributed widely in places not known in advance. Open, generative conversation unfolds. Ideas and solutions are sifted in rapid fashion. Most importantly, participants own the ideas, so follow-up and implementation is simplified. No buy-in strategies needed! Simple and elegant!

15% Solutions

Some problems are simpler than others and with the right problem-solving activities, you can empower people to take immediate actions that can help create organizational change.

Part of the liberating structures toolkit, 15% solutions is a problem-solving technique that focuses on finding and implementing solutions quickly. A process of iterating and making small changes quickly can help generate momentum and an appetite for solving complex problems.

Problem-solving strategies can live and die on whether people are onboard. Getting some quick wins is a great way of getting people behind the process.

It can be extremely empowering for a team to realize that problem-solving techniques can be deployed quickly and easily and delineate between things they can positively impact and those things they cannot change.

15% Solutions #action #liberating structures #remote-friendly You can reveal the actions, however small, that everyone can do immediately. At a minimum, these will create momentum, and that may make a BIG difference. 15% Solutions show that there is no reason to wait around, feel powerless, or fearful. They help people pick it up a level. They get individuals and the group to focus on what is within their discretion instead of what they cannot change. With a very simple question, you can flip the conversation to what can be done and find solutions to big problems that are often distributed widely in places not known in advance. Shifting a few grains of sand may trigger a landslide and change the whole landscape.

Problem-solving techniques for making decisions and planning

After your group is happy with the possible solutions you’ve developed, now comes the time to choose which to implement. There’s more than one way to make a decision and the best option is often dependant on the needs and set-up of your group.

Sometimes, it’s the case that you’ll want to vote as a group on what is likely to be the most impactful solution. Other times, it might be down to a decision maker or major stakeholder to make the final decision. Whatever your process, here’s some techniques you can use to help you make a decision during your problem solving process.

How-Now-Wow Matrix

The problem-solving process is often creative, as complex problems usually require a change of thinking and creative response in order to find the best solutions. While it’s common for the first stages to encourage creative thinking, groups can often gravitate to familiar solutions when it comes to the end of the process.

When selecting solutions, you don’t want to lose your creative energy! The How-Now-Wow Matrix from Gamestorming is a great problem-solving activity that enables a group to stay creative and think out of the box when it comes to selecting the right solution for a given problem.

Problem-solving techniques that encourage creative thinking and the ideation and selection of new solutions can be the most effective in organisational change. Give the How-Now-Wow Matrix a go, and not just for how pleasant it is to say out loud.

How-Now-Wow Matrix #gamestorming #idea generation #remote-friendly When people want to develop new ideas, they most often think out of the box in the brainstorming or divergent phase. However, when it comes to convergence, people often end up picking ideas that are most familiar to them. This is called a ‘creative paradox’ or a ‘creadox’. The How-Now-Wow matrix is an idea selection tool that breaks the creadox by forcing people to weigh each idea on 2 parameters.

Impact and Effort Matrix

All problem-solving techniques hope to not only find solutions to a given problem or challenge but to find the best solution. When it comes to finding a solution, groups are invited to put on their decision-making hats and really think about how a proposed idea would work in practice.

The Impact and Effort Matrix is one of the problem-solving techniques that fall into this camp, empowering participants to first generate ideas and then categorize them into a 2×2 matrix based on impact and effort.

Activities that invite critical thinking while remaining simple are invaluable. Use the Impact and Effort Matrix to move from ideation and towards evaluating potential solutions before then committing to them.

Impact and Effort Matrix #gamestorming #decision making #action #remote-friendly In this decision-making exercise, possible actions are mapped based on two factors: effort required to implement and potential impact. Categorizing ideas along these lines is a useful technique in decision making, as it obliges contributors to balance and evaluate suggested actions before committing to them.

If you’ve followed each of the problem-solving steps with your group successfully, you should move towards the end of your process with heaps of possible solutions developed with a specific problem in mind. But how do you help a group go from ideation to putting a solution into action?

Dotmocracy – or Dot Voting -is a tried and tested method of helping a team in the problem-solving process make decisions and put actions in place with a degree of oversight and consensus.

One of the problem-solving techniques that should be in every facilitator’s toolbox, Dot Voting is fast and effective and can help identify the most popular and best solutions and help bring a group to a decision effectively.

Dotmocracy #action #decision making #group prioritization #hyperisland #remote-friendly Dotmocracy is a simple method for group prioritization or decision-making. It is not an activity on its own, but a method to use in processes where prioritization or decision-making is the aim. The method supports a group to quickly see which options are most popular or relevant. The options or ideas are written on post-its and stuck up on a wall for the whole group to see. Each person votes for the options they think are the strongest, and that information is used to inform a decision.

Straddling the gap between decision making and planning, MoSCoW is a simple and effective method that allows a group team to easily prioritize a set of possible options.

Use this method in a problem solving process by collecting and summarizing all your possible solutions and then categorize them into 4 sections: “Must have”, “Should have”, “Could have”, or “Would like but won‘t get”.

This method is particularly useful when its less about choosing one possible solution and more about prioritorizing which to do first and which may not fit in the scope of your project. In my experience, complex challenges often require multiple small fixes, and this method can be a great way to move from a pile of things you’d all like to do to a structured plan.

MoSCoW #define intentions #create #design #action #remote-friendly MoSCoW is a method that allows the team to prioritize the different features that they will work on. Features are then categorized into “Must have”, “Should have”, “Could have”, or “Would like but won‘t get”. To be used at the beginning of a timeslot (for example during Sprint planning) and when planning is needed.

When it comes to managing the rollout of a solution, clarity and accountability are key factors in ensuring the success of the project. The RAACI chart is a simple but effective model for setting roles and responsibilities as part of a planning session.

Start by listing each person involved in the project and put them into the following groups in order to make it clear who is responsible for what during the rollout of your solution.

Responsibility (Which person and/or team will be taking action?)
Authority (At what “point” must the responsible person check in before going further?)
Accountability (Who must the responsible person check in with?)
Consultation (Who must be consulted by the responsible person before decisions are made?)
Information (Who must be informed of decisions, once made?)

Ensure this information is easily accessible and use it to inform who does what and who is looped into discussions and kept up to date.

RAACI #roles and responsibility #teamwork #project management Clarifying roles and responsibilities, levels of autonomy/latitude in decision making, and levels of engagement among diverse stakeholders.

Problem-solving warm-up activities

All facilitators know that warm-ups and icebreakers are useful for any workshop or group process. Problem-solving workshops are no different.

Use these problem-solving techniques to warm up a group and prepare them for the rest of the process. Activating your group by tapping into some of the top problem-solving skills can be one of the best ways to see great outcomes from your session.

Check-in / Check-out

Solid processes are planned from beginning to end, and the best facilitators know that setting the tone and establishing a safe, open environment can be integral to a successful problem-solving process. Check-in / Check-out is a great way to begin and/or bookend a problem-solving workshop. Checking in to a session emphasizes that everyone will be seen, heard, and expected to contribute.

If you are running a series of meetings, setting a consistent pattern of checking in and checking out can really help your team get into a groove. We recommend this opening-closing activity for small to medium-sized groups though it can work with large groups if they’re disciplined!

Check-in / Check-out #team #opening #closing #hyperisland #remote-friendly Either checking-in or checking-out is a simple way for a team to open or close a process, symbolically and in a collaborative way. Checking-in/out invites each member in a group to be present, seen and heard, and to express a reflection or a feeling. Checking-in emphasizes presence, focus and group commitment; checking-out emphasizes reflection and symbolic closure.

Doodling Together

Thinking creatively and not being afraid to make suggestions are important problem-solving skills for any group or team, and warming up by encouraging these behaviors is a great way to start.

Doodling Together is one of our favorite creative ice breaker games – it’s quick, effective, and fun and can make all following problem-solving steps easier by encouraging a group to collaborate visually. By passing cards and adding additional items as they go, the workshop group gets into a groove of co-creation and idea development that is crucial to finding solutions to problems.

Doodling Together #collaboration #creativity #teamwork #fun #team #visual methods #energiser #icebreaker #remote-friendly Create wild, weird and often funny postcards together & establish a group’s creative confidence.

Show and Tell

You might remember some version of Show and Tell from being a kid in school and it’s a great problem-solving activity to kick off a session.

Asking participants to prepare a little something before a workshop by bringing an object for show and tell can help them warm up before the session has even begun! Games that include a physical object can also help encourage early engagement before moving onto more big-picture thinking.

By asking your participants to tell stories about why they chose to bring a particular item to the group, you can help teams see things from new perspectives and see both differences and similarities in the way they approach a topic. Great groundwork for approaching a problem-solving process as a team!

Show and Tell #gamestorming #action #opening #meeting facilitation Show and Tell taps into the power of metaphors to reveal players’ underlying assumptions and associations around a topic The aim of the game is to get a deeper understanding of stakeholders’ perspectives on anything—a new project, an organizational restructuring, a shift in the company’s vision or team dynamic.

Constellations

Who doesn’t love stars? Constellations is a great warm-up activity for any workshop as it gets people up off their feet, energized, and ready to engage in new ways with established topics. It’s also great for showing existing beliefs, biases, and patterns that can come into play as part of your session.

Using warm-up games that help build trust and connection while also allowing for non-verbal responses can be great for easing people into the problem-solving process and encouraging engagement from everyone in the group. Constellations is great in large spaces that allow for movement and is definitely a practical exercise to allow the group to see patterns that are otherwise invisible.

Constellations #trust #connection #opening #coaching #patterns #system Individuals express their response to a statement or idea by standing closer or further from a central object. Used with teams to reveal system, hidden patterns, perspectives.

Draw a Tree

Problem-solving games that help raise group awareness through a central, unifying metaphor can be effective ways to warm-up a group in any problem-solving model.

Draw a Tree is a simple warm-up activity you can use in any group and which can provide a quick jolt of energy. Start by asking your participants to draw a tree in just 45 seconds – they can choose whether it will be abstract or realistic.

Once the timer is up, ask the group how many people included the roots of the tree and use this as a means to discuss how we can ignore important parts of any system simply because they are not visible.

All problem-solving strategies are made more effective by thinking of problems critically and by exposing things that may not normally come to light. Warm-up games like Draw a Tree are great in that they quickly demonstrate some key problem-solving skills in an accessible and effective way.

Draw a Tree #thiagi #opening #perspectives #remote-friendly With this game you can raise awarness about being more mindful, and aware of the environment we live in.

Closing activities for a problem-solving process

Each step of the problem-solving workshop benefits from an intelligent deployment of activities, games, and techniques. Bringing your session to an effective close helps ensure that solutions are followed through on and that you also celebrate what has been achieved.

Here are some problem-solving activities you can use to effectively close a workshop or meeting and ensure the great work you’ve done can continue afterward.

One Breath Feedback

Maintaining attention and focus during the closing stages of a problem-solving workshop can be tricky and so being concise when giving feedback can be important. It’s easy to incur “death by feedback” should some team members go on for too long sharing their perspectives in a quick feedback round.

One Breath Feedback is a great closing activity for workshops. You give everyone an opportunity to provide feedback on what they’ve done but only in the space of a single breath. This keeps feedback short and to the point and means that everyone is encouraged to provide the most important piece of feedback to them.

One breath feedback #closing #feedback #action This is a feedback round in just one breath that excels in maintaining attention: each participants is able to speak during just one breath … for most people that’s around 20 to 25 seconds … unless of course you’ve been a deep sea diver in which case you’ll be able to do it for longer.

Who What When Matrix

Matrices feature as part of many effective problem-solving strategies and with good reason. They are easily recognizable, simple to use, and generate results.

The Who What When Matrix is a great tool to use when closing your problem-solving session by attributing a who, what and when to the actions and solutions you have decided upon. The resulting matrix is a simple, easy-to-follow way of ensuring your team can move forward.

Great solutions can’t be enacted without action and ownership. Your problem-solving process should include a stage for allocating tasks to individuals or teams and creating a realistic timeframe for those solutions to be implemented or checked out. Use this method to keep the solution implementation process clear and simple for all involved.

Who/What/When Matrix #gamestorming #action #project planning With Who/What/When matrix, you can connect people with clear actions they have defined and have committed to.

Response cards

Group discussion can comprise the bulk of most problem-solving activities and by the end of the process, you might find that your team is talked out!

Providing a means for your team to give feedback with short written notes can ensure everyone is head and can contribute without the need to stand up and talk. Depending on the needs of the group, giving an alternative can help ensure everyone can contribute to your problem-solving model in the way that makes the most sense for them.

Response Cards is a great way to close a workshop if you are looking for a gentle warm-down and want to get some swift discussion around some of the feedback that is raised.

Response Cards #debriefing #closing #structured sharing #questions and answers #thiagi #action It can be hard to involve everyone during a closing of a session. Some might stay in the background or get unheard because of louder participants. However, with the use of Response Cards, everyone will be involved in providing feedback or clarify questions at the end of a session.

Tips for effective problem solving

Problem-solving activities are only one part of the puzzle. While a great method can help unlock your team’s ability to solve problems, without a thoughtful approach and strong facilitation the solutions may not be fit for purpose.

Let’s take a look at some problem-solving tips you can apply to any process to help it be a success!

Clearly define the problem

Jumping straight to solutions can be tempting, though without first clearly articulating a problem, the solution might not be the right one. Many of the problem-solving activities below include sections where the problem is explored and clearly defined before moving on.

This is a vital part of the problem-solving process and taking the time to fully define an issue can save time and effort later. A clear definition helps identify irrelevant information and it also ensures that your team sets off on the right track.

Don’t jump to conclusions

It’s easy for groups to exhibit cognitive bias or have preconceived ideas about both problems and potential solutions. Be sure to back up any problem statements or potential solutions with facts, research, and adequate forethought.

The best techniques ask participants to be methodical and challenge preconceived notions. Make sure you give the group enough time and space to collect relevant information and consider the problem in a new way. By approaching the process with a clear, rational mindset, you’ll often find that better solutions are more forthcoming.

Try different approaches

Problems come in all shapes and sizes and so too should the methods you use to solve them. If you find that one approach isn’t yielding results and your team isn’t finding different solutions, try mixing it up. You’ll be surprised at how using a new creative activity can unblock your team and generate great solutions.

Don’t take it personally

Depending on the nature of your team or organizational problems, it’s easy for conversations to get heated. While it’s good for participants to be engaged in the discussions, ensure that emotions don’t run too high and that blame isn’t thrown around while finding solutions.

You’re all in it together, and even if your team or area is seeing problems, that isn’t necessarily a disparagement of you personally. Using facilitation skills to manage group dynamics is one effective method of helping conversations be more constructive.

Get the right people in the room

Your problem-solving method is often only as effective as the group using it. Getting the right people on the job and managing the number of people present is important too!

If the group is too small, you may not get enough different perspectives to effectively solve a problem. If the group is too large, you can go round and round during the ideation stages.

Creating the right group makeup is also important in ensuring you have the necessary expertise and skillset to both identify and follow up on potential solutions. Carefully consider who to include at each stage to help ensure your problem-solving method is followed and positioned for success.

Create psychologically safe spaces for discussion

Identifying a problem accurately also requires that all members of a group are able to contribute their views in an open and safe manner.

It can be tough for people to stand up and contribute if the problems or challenges are emotive or personal in nature. Try and create a psychologically safe space for these kinds of discussions and where possible, create regular opportunities for challenges to be brought up organically.

Document everything

The best solutions can take refinement, iteration, and reflection to come out. Get into a habit of documenting your process in order to keep all the learnings from the session and to allow ideas to mature and develop. Many of the methods below involve the creation of documents or shared resources. Be sure to keep and share these so everyone can benefit from the work done!

Bring a facilitator

Facilitation is all about making group processes easier. With a subject as potentially emotive and important as problem-solving, having an impartial third party in the form of a facilitator can make all the difference in finding great solutions and keeping the process moving. Consider bringing a facilitator to your problem-solving session to get better results and generate meaningful solutions!

Develop your problem-solving skills

It takes time and practice to be an effective problem solver. While some roles or participants might more naturally gravitate towards problem-solving, it can take development and planning to help everyone create better solutions.

You might develop a training program, run a problem-solving workshop or simply ask your team to practice using the techniques below. Check out our post on problem-solving skills to see how you and your group can develop the right mental process and be more resilient to issues too!

Design a great agenda

Workshops are a great format for solving problems. With the right approach, you can focus a group and help them find the solutions to their own problems. But designing a process can be time-consuming and finding the right activities can be difficult.

Check out our workshop planning guide to level-up your agenda design and start running more effective workshops. Need inspiration? Check out templates designed by expert facilitators to help you kickstart your process!

Save time and effort creating an effective problem solving process

A structured problem solving process is a surefire way of solving tough problems, discovering creative solutions and driving organizational change. But how can you design for successful outcomes?

With SessionLab, it’s easy to design engaging workshops that deliver results. Drag, drop and reorder blocks to build your agenda. When you make changes or update your agenda, your session timing adjusts automatically , saving you time on manual adjustments.

Collaborating with stakeholders or clients? Share your agenda with a single click and collaborate in real-time. No more sending documents back and forth over email.

Explore how to use SessionLab to design effective problem solving workshops or watch this five minute video to see the planner in action!

Over to you

The problem-solving process can often be as complicated and multifaceted as the problems they are set-up to solve. With the right problem-solving techniques and a mix of exercises designed to guide discussion and generate purposeful ideas, we hope we’ve given you the tools to find the best solutions as simply and easily as possible.

Is there a problem-solving technique that you are missing here? Do you have a favorite activity or method you use when facilitating? Let us know in the comments below, we’d love to hear from you!

James Smart is a full-stack marketer, creative, and workshop facilitator.

thank you very much for these excellent techniques

Certainly wonderful article, very detailed. Shared!

Your list of techniques for problem solving can be helpfully extended by adding TRIZ to the list of techniques. TRIZ has 40 problem solving techniques derived from methods inventros and patent holders used to get new patents. About 10-12 are general approaches. many organization sponsor classes in TRIZ that are used to solve business problems or general organiztational problems. You can take a look at TRIZ and dwonload a free internet booklet to see if you feel it shound be included per your selection process.

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Guide: Problem Solving

Author: Daniel Croft

Daniel Croft is an experienced continuous improvement manager with a Lean Six Sigma Black Belt and a Bachelor's degree in Business Management. With more than ten years of experience applying his skills across various industries, Daniel specializes in optimizing processes and improving efficiency. His approach combines practical experience with a deep understanding of business fundamentals to drive meaningful change.

Problem-solving stands as a fundamental skill, crucial in navigating the complexities of both everyday life and professional environments. Far from merely providing quick fixes, it entails a comprehensive process involving the identification, analysis, and resolution of issues.

This multifaceted approach requires an understanding of the problem’s nature, the exploration of its various components, and the development of effective solutions. At its core, problem-solving serves as a bridge from the current situation to a desired outcome, requiring not only the recognition of an existing gap but also the precise definition and thorough analysis of the problem to find viable solutions.

What is Problem Solving?

At its core, problem-solving is about bridging the gap between the current situation and the desired outcome. It starts with recognizing that a discrepancy exists, which requires intervention to correct or improve. The ability to identify a problem is the first step, but it’s equally crucial to define it accurately. A well-defined problem is half-solved, as the saying goes.

Analyzing the problem is the next critical step. This analysis involves breaking down the problem into smaller parts to understand its intricacies. It requires looking at the problem from various angles and considering all relevant factors – be they environmental, social, technical, or economic. This comprehensive analysis aids in developing a deeper understanding of the problem’s root causes, rather than just its symptoms.

Reverse brainstorming - problem solving - Idea generation

Finally, effective problem-solving involves the implementation of the chosen solution and its subsequent evaluation. This stage tests the practicality of the solution and its effectiveness in the real world. It’s a critical phase where theoretical solutions meet practical application.

The Nature of Problems

The nature of the problem significantly influences the approach to solving it. Problems vary greatly in their complexity and structure, and understanding this is crucial for effective problem-solving.

Simple vs. Complex Problems : Simple problems are straightforward, often with clear solutions. They usually have a limited number of variables and predictable outcomes. On the other hand, complex problems are multi-faceted. They involve multiple variables, stakeholders, and potential outcomes, often requiring a more sophisticated analysis and a multi-pronged approach to solving.

Structured vs. Unstructured Problems : Structured problems are well-defined. They follow a specific pattern or set of rules, making their outcomes more predictable. These problems often have established methodologies for solving. For example, mathematical problems usually fall into this category. Unstructured problems, in contrast, are more ambiguous. They lack a clear pattern or set of rules, making their outcomes uncertain. These problems require a more exploratory approach, often involving trial and error, to identify potential solutions.

Understanding the type of problem at hand is essential, as it dictates the approach. For instance, a simple problem might require a straightforward solution, while a complex problem might need a more comprehensive, step-by-step approach. Similarly, structured problems might benefit from established methodologies, whereas unstructured problems might need more innovative and creative problem-solving techniques.

The Problem-Solving Process

The process of problem-solving is a methodical approach that involves several distinct stages. Each stage plays a crucial role in navigating from the initial recognition of a problem to its final resolution. Let’s explore each of these stages in detail.

Step 1: Identifying the Problem

Step 2: Defining the Problem

Once the problem is identified, the next step is to define it clearly and precisely. This is a critical phase because a well-defined problem often suggests its solution. Defining the problem involves breaking it down into smaller, more manageable parts. It also includes understanding the scope and impact of the problem. A clear definition helps in focusing efforts and resources efficiently and serves as a guide to stay on track during the problem-solving process.

Step 3: Analyzing the Problem

Step 4: Generating Solutions

Step 5: Evaluating and Selecting Solutions

After generating a list of possible solutions, the next step is to evaluate each one critically. This evaluation includes considering the feasibility, costs, benefits, and potential impact of each solution. Techniques like cost-benefit analysis, risk assessment, and scenario planning can be useful here. The aim is to select the solution that best addresses the problem in the most efficient and effective way, considering the available resources and constraints.

Step 6: Implementing the Solution

Step 7: Reviewing and Reflecting

The final stage in the problem-solving process is to review the implemented solution and reflect on its effectiveness and the process as a whole. This involves assessing whether the solution met its intended goals and what could have been done differently. Reflection is a critical part of learning and improvement. It helps in understanding what worked well and what didn’t, providing valuable insights for future problem-solving efforts.

Tools and Techniques for Effective Problem Solving

Problem-solving is a multifaceted endeavor that requires a variety of tools and techniques to navigate effectively. Different stages of the problem-solving process can benefit from specific strategies, enhancing the efficiency and effectiveness of the solutions developed. Here’s a detailed look at some key tools and techniques:

Brainstorming

SWOT Analysis (Strengths, Weaknesses, Opportunities, Threats)

Root Cause Analysis

This is a method used to identify the underlying causes of a problem, rather than just addressing its symptoms. One popular technique within root cause analysis is the “ 5 Whys ” method. This involves asking “why” multiple times (traditionally five) until the fundamental cause of the problem is uncovered. This technique encourages deeper thinking and can reveal connections that aren’t immediately obvious. By addressing the root cause, solutions are more likely to be effective and long-lasting.

Mind Mapping

Each of these tools and techniques can be adapted to different types of problems and situations. Effective problem solvers often use a combination of these methods, depending on the nature of the problem and the context in which it exists. By leveraging these tools, one can enhance their ability to dissect complex problems, generate creative solutions, and implement effective strategies to address challenges.

Developing Problem-Solving Skills

Developing problem-solving skills is a dynamic process that hinges on both practice and introspection. Engaging with a diverse array of problems enhances one’s ability to adapt and apply different strategies. This exposure is crucial as it allows individuals to encounter various scenarios, ranging from straightforward to complex, each requiring a unique approach. Collaborating with others in teams is especially beneficial. It broadens one’s perspective, offering insights into different ways of thinking and approaching problems. Such collaboration fosters a deeper understanding of how diverse viewpoints can contribute to more robust solutions.

Reflection is equally important in the development of problem-solving skills. Reflecting on both successes and failures provides valuable lessons. Successes reinforce effective strategies and boost confidence, while failures are rich learning opportunities that highlight areas for improvement. This reflective practice enables one to understand what worked, what didn’t, and why.

Critical thinking is a foundational skill in problem-solving. It involves analyzing information, evaluating different perspectives, and making reasoned judgments. Creativity is another vital component. It pushes the boundaries of conventional thinking and leads to innovative solutions. Effective communication also plays a crucial role, as it ensures that ideas are clearly understood and collaboratively refined.

In conclusion, problem-solving is an indispensable skill set that blends analytical thinking, creativity, and practical implementation. It’s a journey from understanding the problem to applying a solution and learning from the outcome.

Whether dealing with simple or complex issues, or structured or unstructured challenges, the essence of problem-solving lies in a methodical approach and the effective use of various tools and techniques. It’s a skill that is honed over time, through experience, reflection, and the continuous development of critical thinking, creativity, and communication abilities. In mastering problem-solving, one not only addresses immediate issues but also builds a foundation for future challenges, leading to more innovative and effective outcomes.

Mourtos, N.J., Okamoto, N.D. and Rhee, J., 2004, February. Defining, teaching, and assessing problem solving skills . In 7th UICEE Annual Conference on Engineering Education (pp. 1-5).
Foshay, R. and Kirkley, J., 2003. Principles for teaching problem solving. Technical paper , 4 (1), pp.1-16.

Q: What are the key steps in the problem-solving process?

A : The problem-solving process involves several key steps: identifying the problem, defining it clearly, analyzing it to understand its root causes, generating a range of potential solutions, evaluating and selecting the most viable solution, implementing the chosen solution, and finally, reviewing and reflecting on the effectiveness of the solution and the process used to arrive at it.

Q: How can brainstorming be effectively used in problem-solving?

A: Brainstorming is effective in the solution generation phase of problem-solving. It involves gathering a group and encouraging the free flow of ideas without immediate criticism. The goal is to produce a large quantity of ideas, fostering creative thinking. This technique helps in uncovering unique and innovative solutions that might not surface in a more structured setting.

Q: What is SWOT Analysis and how does it aid in problem-solving?

A : SWOT Analysis is a strategic planning tool used to evaluate the Strengths, Weaknesses, Opportunities, and Threats involved in a situation. In problem-solving, it aids by providing a clear understanding of the internal and external factors that could impact the problem and potential solutions. This analysis helps in formulating strategies that leverage strengths and opportunities while mitigating weaknesses and threats.

Q: Why is it important to understand the nature of a problem before solving it?

A : Understanding the nature of a problem is crucial as it dictates the approach for solving it. Problems can be simple or complex, structured or unstructured, and each type requires a different strategy. A clear understanding of the problem’s nature helps in applying the appropriate methods and tools for effective resolution.

Q: How does reflection contribute to developing problem-solving skills?

A : Reflection is a critical component in developing problem-solving skills. It involves looking back at the problem-solving process and the implemented solution to assess what worked well and what didn’t. Reflecting on both successes and failures provides valuable insights and lessons, helping to refine and improve problem-solving strategies for future challenges. This reflective practice enhances one’s ability to approach problems more effectively over time.

Daniel Croft

Daniel Croft is a seasoned continuous improvement manager with a Black Belt in Lean Six Sigma. With over 10 years of real-world application experience across diverse sectors, Daniel has a passion for optimizing processes and fostering a culture of efficiency. He's not just a practitioner but also an avid learner, constantly seeking to expand his knowledge. Outside of his professional life, Daniel has a keen Investing, statistics and knowledge-sharing, which led him to create the website www.learnleansigma.com, a platform dedicated to Lean Six Sigma and process improvement insights.

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Miles Anthony Smith
Sep 12, 2022
12 min read

The Ultimate Problem-Solving Process Guide: 31 Steps and Resources

Updated: Jan 24, 2023

GOT CHALLENGES WITH YOUR PROBLEM-SOLVING PROCESS? ARE YOU FRUSTRATED?

prob·lem-solv·ing noun -the process of finding solutions to difficult or complex issues. It sounds so simple, doesn’t it? But in reality problem-solving is hard. It's almost always more complex than it seems. That's why problem-solving can be so frustrating sometimes. You can feel like you’re spinning your wheels, arguing in circles, or just failing to find answers that actually work. And when you've got a group working on a problem, it can get even muddier …differences of opinions, viewpoints colored by different backgrounds, history, life experiences, you name it. We’re all looking at life and work from different angles, and that often means disagreement. Sometimes sharp disagreement. That human element, figuring out how to take ourselves out of the equation and make solid, fact-based decisions , is precisely why there’s been so much written on problem-solving. Which creates its own set of problems. Whose method is best? How can you possibly sift through them all? Are we to have one person complete the entire problem-solving process by themselves or rely on a larger team to find answers to our most vexing challenges in the workplace ? Today, we’re going to make sense of it all. We’ll take a close look at nine top problem-solving methods. Then we’ll grab the best elements of all of them to give you a process that will have your team solving problems faster, with better results , and maybe with less sharp disagreement. Ready to dive in? Let’s go!

9 PROFITABLE PROBLEM-SOLVING TECHNIQUES AND METHODS

While there are loads of methods to choose from, we are going to focus on nine of the more common ones. You can use some of these problem-solving techniques reactively to solve a known issue or proactively to find more efficient or effective ways of performing tasks. If you want to explore other methods, check out this resource here . A helpful bit of advice here is to reassure people that you aren’t here to identify the person that caused the problem . You’re working to surface the issue, solve it and make sure it doesn’t happen again, regardless of the person working on the process. It can’t be understated how important it is to continually reassure people of this so that you get unfiltered access to information. Without this, people will often hide things to protect themselves . After all, nobody wants to look bad, do they? With that said, let’s get started...

1. CREATIVE PROBLEM SOLVING (CPS)

Alex Osborn coined the term “Creative Problem Solving” in the 1940s with this simple four-step process:

Clarify : Explore the vision, gather data, and formulate questions.

Ideate : This stage should use brainstorming to generate divergent thinking and ideas rather than the random ideas normally associated with brainstorming.

Develop : Formulate solutions as part of an overall plan.

Implement : Put the plan into practice and communicate it to all parties.

2. APPRECIATIVE INQUIRY

Source: http://www.davidcooperrider.com/ai-process/ This method seeks, first and foremost, to identify the strengths in people and organizations and play to that “positive core” rather than focus our energies on improving weaknesses . It starts with an “affirmative topic,” followed by the “positive core (strengths).” Then this method delves into the following stages:

Discovery (fact-finding)

Dream (visioning the future)

Design (strategic purpose)

Destiny (continuous improvement)

3. “FIVE WHYS” METHOD

This method simply suggests that we ask “Why” at least five times during our review of the problem and in search of a fix. This helps us dig deeper to find the the true reason for the problem, or the root cause. Now, this doesn’t mean we just keeping asking the same question five times. Once we get an answer to our first “why”, we ask why to that answer until we get to five “whys”.

Using the “five whys” is part of the “Analyze” phase of Six Sigma but can be used with or without the full Six Sigma process.

Review this simple Wikipedia example of the 5 Whys in action:

The vehicle will not start. (the problem)

Why? - The battery is dead. (First why)

Why? - The alternator is not functioning. (Second why)

Why? - The alternator belt has broken. (Third why)

Why? - The alternator belt was well beyond its useful service life and not replaced. (Fourth why)

Why? - The vehicle was not maintained according to the recommended service schedule. (Fifth why, a root cause)

4. LEAN SIX SIGMA (DMAIC METHOD)

Define, Measure, Analyze, Design, Verify

While many people have at least heard of Lean or Six Sigma, do we know what it is? Like many problem-solving processes, it has five main steps to follow.

Define : Clearly laying out the problem and soliciting feedback from those who are customers of the process is necessary to starting off on the right foot.

Measure : Quantifying the current state of the problem is a key to measuring how well the fix performed once it was implemented.

Analyze : Finding out the root cause of the problem (see number 5 “Root Cause Analysis” below) is one of the hardest and least explored steps of Six Sigma.

Improve : Crafting, executing, and testing the solution for measureable improvement is key. What doesn’t get implemented and measured really won’t make a difference.

Control : Sustaining the fix through a monitoring plan will ensure things continue to stay on track rather than being a short-lived solution.

5. ROOT CAUSE ANALYSIS

Compared to other methods, you’ll more often find this technique in a reactive problem-solving mode, but it is helpful nonetheless. Put simply, it requires a persistent approach to finding the highest-level cause, since most reasons you’ll uncover for a problem don’t tell the whole story.

Most of the time, there are many factors that contributed to an issue. The main reason is often shrouded in either intentional or unintentional secrecy. Taking the time to drill down to the root of the issue is key to truly solving the problem.

6. DEMING-SHEWHART CYCLE: PLAN-DO-CHECK-ACT (PDCA)

Named for W. Edwards Deming and Walter A. Shewhart, this model follows a four-step process:

Plan: Establish goals and objectives at the outset to gain agreement. It’s best to start on a small scale in order to test results and get a quick win.

Do: This step is all about the implementation and execution of the solution.

Check: Study and compare actual to expected results. Chart this data to identify trends.

Act/Adjust: If the check phase showed different results, then adjust accordingly. If worse than expected, then try another fix. If the same or better than expected, then use that as the new baseline for future improvements.

7. 8D PROBLEM-SOLVING

While this is named “8D” for eight disciplines, there are actually nine , because the first is listed as step zero. Each of the disciplines represents a phase of this process. Its aim is to implement a quick fix in the short term while working on a more permanent solution with no recurring issues.

Prepare and Plan : Collecting initial information from the team and preparing your approach to the process is a necessary first step.

Form a Team : Select a cross-functional team of people, one leader to run meetings and the process, and one champion/sponsor who will be the final decision-maker.

Describe the Problem : Using inductive and deductive reasoning approaches, lay out the precise issue to be corrected.

Interim Containment Action : Determine if an interim solution needs to be implemented or if it can wait until the final fix is firmed up. If necessary, the interim action is usually removed once the permanent solution is ready for implementation.

Root Cause Analysis and Escape Point : Finding the root of the issue and where in the process it could’ve been found but was not will help identify where and why the issue happened.

Permanent Corrective Action : Incorporating key criteria into the solution, including requirements and wants, will help ensure buy-in from the team and your champion.

Implement and Validate the Permanent Corrective Action : Measuring results from the fix implemented validates it or sends the team back to the drawing board to identity a more robust solution.

Prevent Recurrence : Updating work procedure documents and regular communication about the changes are important to keep old habits in check.

Closure and Team Celebration : Taking time to praise the team for their efforts in resolving the problem acknowledges the part each person played and offers a way to move forward.

8. ARMY PROBLEM SOLVING PROCESS

The US Army has been solving problems for more than a couple of centuries , so why not take a look at the problem-solving process they’ve refined over many years? They recommend this five step process:

Identify the Problem : Take time to understand the situation and define a scope and limitations before moving forward.

Gather Information : Uncover facts, assumptions, and opinions about the problem, and challenge them to get to the truth.

Develop Screening and Evaluation Criteria :

Five screening items should be questioned. Is it feasible, acceptable, distinguishable, and complete?

Evaluation criteria should have these 5 elements: short title, definition, unit of measure, benchmark, and formula.

Generate, Analyze, and Compare Possible Solutions : Most fixes are analyzed, but do you compare yours to one another as a final vetting method?

Choose a Solution and Implement : Put the fix into practice and follow up to ensure it is being followed consistently and having the desired effect.

9. HURSON'S PRODUCTIVE THINKING MODEL

Tim Hurson introduced this model in 2007 with his book, Think Better. It consists of the following six actions.

Ask "What is going on?" : Define the impact of the problem and the aim of its solution.

Ask "What is success?" : Spell out the expected outcome, what should not be in fix, values to be considered, and how things will be evaluated.

Ask "What is the question?" : Tailor questions to the problem type. Valuable resources can be wasted asking questions that aren’t truly relevant to the issue.

Generate answers : Prioritize answers that are the most relevant to solutions, without excluding any suggestion to present to the decision-makers.

Forge the solution : Refine the raw list of prioritized fixes, looking for ways to combine them for a more powerful solution or eliminate fixes that don’t fit the evaluation criteria.

Align resources: Identify resources, team, and stakeholders needed to implement and maintain the solution.

STEAL THIS THOROUGH 8-STEP PROBLEM-SOLVING PROCESS

Little Girl Reaching For Strawberries On The Counter

Now that we’ve reviewed a number of problem-solving methods, we’ve compiled the various steps into a straightforward, yet in-depth, s tep-by-step process to use the best of all methods.

1. DIG DEEP: IDENTIFY, DEFINE, AND CLARIFY THE ISSUE

“Elementary, my dear Watson,” you might say.

This is true, but we often forget the fundamentals before trying to solve a problem. So take some time to gain understanding of critical stakeholder’s viewpoints to clarify the problem and cement consensus behind what the issue really is.

Sometimes it feels like you’re on the same page, but minor misunderstandings mean you’re not really in full agreement.. It’s better to take the time to drill down on an issue before you get too far into solving a problem that may not be the exact problem . Which leads us to…

2. DIG DEEPER: ROOT CAUSE ANALYSIS

This part of the process involves identifying these three items :

What happened?

Why did it happen?

What process do we need to employ to significantly reduce the chances of it happening again ?

You’ll usually need to sort through a series of situations to find the primary cause. So be careful not to stop at the first cause you uncover . Dig further into the situation to expose the root of the issue. We don’t want to install a solution that only fixes a surface-level issue and not the root. T here are typically three types of causes :

Physical: Perhaps a part failed due to poor design or manufacturing.

Human error: A person either did something wrong or didn’t do what needed to be done.

Organizational: This one is mostly about a system, process, or policy that contributed to the error .

When searching for the root cause, it is important to ensure people that you aren’t there to assign blame to a person but rather identify the problem so a fix can prevent future issues.

3. PRODUCE A VARIETY OF SOLUTION OPTIONS

So far, you’ve approached the problem as a data scientist, searching for clues to the real issue. Now, it’s important to keep your eyes and ears open, in case you run across a fix suggested by one of those involved in the process failure. Because they are closest to the problem, they will often have an idea of how to fix things. In other cases, they may be too close, and unable to see how the process could change.

The bottom line is to solicit solution ideas from a variety of sources , both close to and far away from the process you’re trying to improve.

You just never know where the top fix might come from!

4. FULLY EVALUATE AND SELECT PLANNED FIX(ES)

"Time To Evaluate" Written on a Notepad with Pink Glasses & Pen

Evaluating solutions to a defined problem can be tricky since each one will have cost, political, or other factors associated with it. Running each fix through a filter of cost and impact is a vital step toward identifying a solid solution and hopefully settling on the one with the highest impact and low or acceptable cost.

Categorizing each solution in one of these four categoriescan help teams sift through them:

High Cost/Low Impact: Implement these last, if at all, since t hey are expensive and won’t move the needle much .

Low Cost/Low Impact: These are cheap, but you won’t get much impact.

High Cost/High Impact: These can be used but should be second to the next category.

Low Cost/High Impact: Getting a solid “bang for your buck” is what these fixes are all about. Start with these first .

5. DOCUMENT THE FINAL SOLUTION AND WHAT SUCCESS LOOKS LIKE

Formalize a document that all interested parties (front-line staff, supervisors, leadership, etc.) agree to follow. This will go a long way towards making sure everyone fully understands what the new process looks like, as well as what success will look like .

While it might seem tedious, try to be overly descriptive in the explanation of the solution and how success will be achieved. This is usually necessary to gain full buy-in and commitment to continually following the solution. We often assume certain things that others may not know unless we are more explicit with our communications.

6. SUCCESSFULLY SELL AND EXECUTE THE FIX

Arriving at this stage in the process only to forget to consistently apply the solution would be a waste of time, yet many organizations fall down in the execution phase . Part of making sure that doesn’t happen is to communicate the fix and ask for questions multiple times until all parties have a solid grasp on what is now required of them.

One often-overlooked element of this is the politics involved in gaining approval for your solution. Knowing and anticipating objections of those in senior or key leadership positions is central to gaining buy-in before fix implementation.

7. RINSE AND REPEAT: EVALUATE, MONITOR, AND FOLLOW UP

Next, doing check-ins with the new process will ensure that the solution is working (or identity if further reforms are necessary) . You’ll also see if the measure of predefined success has been attained (or is making progress in that regard).

Without regularly monitoring the fix, you can only gauge the success or failure of the solution by speculation and hearsay. And without hard data to review, most people will tell their own version of the story.

8. COLLABORATIVE CONTINGENCIES, ITERATION, AND COURSE CORRECTION

Going into any problem-solving process, we should take note that we will not be done once the solution is implemented (or even if it seems to be working better at the moment). Any part of any process will always be subject to the need for future iterations and course corrections . To think otherwise would be either foolish or naive.

There might need to be slight, moderate, or wholesale changes to the solution previously implemented as new information is gained, new technologies are discovered, etc.

14 FRUITFUL RESOURCES AND EXERCISES FOR YOUR PROBLEM-SOLVING JOURNEY

Resources | People Working Together At A Large Table With Laptops, Tablets & Paperwork Everywhere

Want to test your problem-solving skills?

Take a look at these twenty case study scenario exercises to see how well you can come up with solutions to these problems.

Still have a desire to discover more about solving problems?

Check out these 14 articles and books...

1. THE LEAN SIX SIGMA POCKET TOOLBOOK: A QUICK REFERENCE GUIDE TO NEARLY 100 TOOLS FOR IMPROVING QUALITY AND SPEED

This book is like a Bible for Lean Six Sigma , all in a pocket-sized package.

2. SOME SAGE PROBLEM SOLVING ADVICE

Hands Holding Up a Comment Bubble That Says "Advice"

The American Society for Quality has a short article on how it’s important to focus on the problem before searching for a solution.

3. THE SECRET TO BETTER PROBLEM SOLVING: HARVARD BUSINESS REVIEW

Wondering if you are solving the right problems? Check out this Harvard Business Review article.

4. PROBLEM SOLVING 101 : A SIMPLE BOOK FOR SMART PEOPLE

Looking for a fun and easy problem-solving book that was written by a McKinsey consultant? Take a look!

5. THE BASICS OF CREATIVE PROBLEM SOLVING – CPS

A Drawn Lightbulb Where The Lightbulb is a Crumbled Piece Of Yellow Paper

If you want a deeper dive into the seven steps of Creative Problem Solving , see this article.

6. APPRECIATIVE INQUIRY : A POSITIVE REVOLUTION IN CHANGE

Appreciative Inquiry has been proven effective in organizations ranging from Roadway Express and British Airways to the United Nations and the United States Navy. Review this book to join the positive revolution.

7. PROBLEM SOLVING: NINE CASE STUDIES AND LESSONS LEARNED

The Seattle Police Department has put together nine case studies that you can practice solving . While they are about police work, they have practical application in the sleuthing of work-related problems.

8. ROOT CAUSE ANALYSIS : THE CORE OF PROBLEM SOLVING AND CORRECTIVE ACTION

Need a resource to delve further into Root Cause Analysis? Look no further than this book for answers to your most vexing questions .

9. SOLVING BUSINESS PROBLEMS : THE CASE OF POOR FRANK

Business Team Looking At Multi-Colored Sticky Notes On A Wall

This solid case study illustrates the complexities of solving problems in business.

10. THE 8-DISCIPLINES PROBLEM SOLVING METHODOLOGY

Learn all about the “8Ds” with this concise primer.

11. THE PROBLEM-SOLVING PROCESS THAT PREVENTS GROUPTHINK HBR

Need to reduce groupthink in your organization’s problem-solving process ? Check out this article from the Harvard Business Review.

12. THINK BETTER : AN INNOVATOR'S GUIDE TO PRODUCTIVE THINKING

Tim Hurson details his own Productive Thinking Model at great length in this book from the author.

13. 5 STEPS TO SOLVING THE PROBLEMS WITH YOUR PROBLEM SOLVING INC MAGAZINE

This simple five-step process will help you break down the problem, analyze it, prioritize solutions, and sell them internally.

14. CRITICAL THINKING : A BEGINNER'S GUIDE TO CRITICAL THINKING, BETTER DECISION MAKING, AND PROBLEM SOLVING!

LOOKING FOR ASSISTANCE WITH YOUR PROBLEM-SOLVING PROCESS?

There's a lot to take in here, but following some of these methods are sure to improve your problem-solving process. However, if you really want to take problem-solving to the next level, InitiativeOne can come alongside your team to help you solve problems much faster than you ever have before.

There are several parts to this leadership transformation process provided by InitiativeOne, including a personal profile assessment, cognitive learning, group sessions with real-world challenges, personal discovery, and a toolkit to empower leaders to perform at their best.

There are really only two things stopping good teams from being great. One is how they make decisions and two is how they solve problems. Contact us today to grow your team’s leadership performance by making decisions and solving problems more swiftly than ever before!

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Master the 7-Step Problem-Solving Process for Better Decision-Making

Discover the powerful 7-Step Problem-Solving Process to make better decisions and achieve better outcomes. Master the art of problem-solving in this comprehensive guide. Download the Free PowerPoint and PDF Template.

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Master the 7-Step Problem-Solving Process for Better Decision-Making

Introduction

The 7-Step Problem-Solving Process involves steps that guide you through the problem-solving process. The first step is to define the problem, followed by disaggregating the problem into smaller, more manageable parts. Next, you prioritize the features and create a work plan to address each. Then, you analyze each piece, synthesize the information, and communicate your findings to others.

In this article, we'll explore each step of the 7-Step Problem-Solving Process in detail so you can start mastering this valuable skill. At the end of the blog post, you can download the process's free PowerPoint and PDF templates .

Step 1: Define the Problem

One way to define the problem is to ask the right questions. Questions like "What is the problem?" and "What are the causes of the problem?" can help. Gathering data and information about the issue to assist in the definition process is also essential.

Step 2: Disaggregate

After defining the problem, the next step in the 7-step problem-solving process is to disaggregate the problem into smaller, more manageable parts. Disaggregation helps break down the problem into smaller pieces that can be analyzed individually. This step is crucial in understanding the root cause of the problem and identifying the most effective solutions.

Disaggregation helps in breaking down complex problems into smaller, more manageable parts. It helps understand the relationships between different factors contributing to the problem and identify the most critical factors that must be addressed. By disaggregating the problem, decision-makers can focus on the most vital areas, leading to more effective solutions.

Step 3: Prioritize

Once the issues have been prioritized, developing a plan of action to address them is essential. This involves identifying the resources required, setting timelines, and assigning responsibilities.

Step 4: Workplan

The work plan should include a list of tasks, deadlines, and responsibilities for each team member involved in the problem-solving process. Assigning tasks based on each team member's strengths and expertise ensures the work is completed efficiently and effectively.

Developing a work plan is a critical step in the problem-solving process. It provides a clear roadmap for solving the problem and ensures everyone involved is aligned and working towards the same goal.

Step 5: Analysis

Pareto analysis is another method that can be used during the analysis phase. This method involves identifying the 20% of causes responsible for 80% of the problems. By focusing on these critical causes, organizations can make significant improvements.

Step 6: Synthesize

Once the analysis phase is complete, it is time to synthesize the information gathered to arrive at a solution. During this step, the focus is on identifying the most viable solution that addresses the problem. This involves examining and combining the analysis results for a clear and concise conclusion.

During the synthesis phase, it is vital to remain open-minded and consider all potential solutions. Involving all stakeholders in the decision-making process is essential to ensure everyone's perspectives are considered.

Step 7: Communicate

In addition to the report, a presentation explaining the findings is essential. The presentation should be tailored to the audience and highlight the report's key points. Visual aids such as tables, graphs, and charts can make the presentation more engaging.

The 7-step problem-solving process is a powerful tool for helping individuals and organizations make better decisions. By following these steps, individuals can identify the root cause of a problem, prioritize potential solutions, and develop a clear plan of action. This process can be applied to various scenarios, from personal challenges to complex business problems.

By mastering the 7-step problem-solving process, individuals can become more effective decision-makers and problem-solvers. This process can help individuals and organizations save time and resources while improving outcomes. With practice, individuals can develop the skills to apply this process to a wide range of scenarios and make better decisions in all areas of life.

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Problem solving techniques: Steps and methods

Posted on May 29, 2019

Constant disruption has become a hallmark of the modern workforce and organisations want problem solving skills to combat this. Employers need people who can respond to change – be that evolving technology, new competitors, different models for doing business, or any of the other transformations that have taken place in recent years.

In addition, problem solving techniques encompass many of the other top skills employers seek . For example, LinkedIn’s list of the most in-demand soft skills of 2019 includes creativity, collaboration and adaptability, all of which fall under the problem-solving umbrella.

Despite its importance, many employees misunderstand what the problem solving method really involves.

What constitutes effective problem solving?

Effective problem solving doesn’t mean going away and coming up with an answer immediately. In fact, this isn’t good problem solving at all, because you’ll be running with the first solution that comes into your mind, which often isn’t the best.

Instead, you should look at problem solving more as a process with several steps involved that will help you reach the best outcome. Those steps are:

Define the problem
List all the possible solutions
Evaluate the options
Select the best solution
Create an implementation plan
Communicate your solution

Let’s look at each step in a little more detail.

It's important you take the time to brainstorm and consider all your options when solving problems.

1. Define the problem

The first step to solving a problem is defining what the problem actually is – sounds simple, right? Well no. An effective problem solver will take the thoughts of everyone involved into account, but different people might have different ideas on what the root cause of the issue really is. It’s up to you to actively listen to everyone without bringing any of your own preconceived notions to the conversation. Learning to differentiate facts from opinion is an essential part of this process.

An effective problem solver will take the opinions of everyone involved into account

The same can be said of data. Depending on what the problem is, there will be varying amounts of information available that will help you work out what’s gone wrong. There should be at least some data involved in any problem, and it’s up to you to gather as much as possible and analyse it objectively.

2. List all the possible solutions

Once you’ve identified what the real issue is, it’s time to think of solutions. Brainstorming as many solutions as possible will help you arrive at the best answer because you’ll be considering all potential options and scenarios. You should take everyone’s thoughts into account when you’re brainstorming these ideas, as well as all the insights you’ve gleaned from your data analysis. It also helps to seek input from others at this stage, as they may come up with solutions you haven’t thought of.

Depending on the type of problem, it can be useful to think of both short-term and long-term solutions, as some of your options may take a while to implement.

One of the best problem solving techniques is brainstorming a number of different solutions and involving affected parties in this process.

3. Evaluate the options

Each option will have pros and cons, and it’s important you list all of these, as well as how each solution could impact key stakeholders. Once you’ve narrowed down your options to three or four, it’s often a good idea to go to other employees for feedback just in case you’ve missed something. You should also work out how each option ties in with the broader goals of the business.

There may be a way to merge two options together in order to satisfy more people.

4. Select an option

Only now should you choose which solution you’re going to go with. What you decide should be whatever solves the problem most effectively while also taking the interests of everyone involved into account. There may be a way to merge two options together in order to satisfy more people.

5. Create an implementation plan

At this point you might be thinking it’s time to sit back and relax – problem solved, right? There are actually two more steps involved if you want your problem solving method to be truly effective. The first is to create an implementation plan. After all, if you don’t carry out your solution effectively, you’re not really solving the problem at all.

Create an implementation plan on how you will put your solution into practice. One problem solving technique that many use here is to introduce a testing and feedback phase just to make sure the option you’ve selected really is the most viable. You’ll also want to include any changes to your solution that may occur in your implementation plan, as well as how you’ll monitor compliance and success.

6. Communicate your solution

There’s one last step to consider as part of the problem solving methodology, and that’s communicating your solution . Without this crucial part of the process, how is anyone going to know what you’ve decided? Make sure you communicate your decision to all the people who might be impacted by it. Not everyone is going to be 100 per cent happy with it, so when you communicate you must give them context. Explain exactly why you’ve made that decision and how the pros mean it’s better than any of the other options you came up with.

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Employers are increasingly seeking soft skills, but unfortunately, while you can show that you’ve got a degree in a subject, it’s much harder to prove you’ve got proficiency in things like problem solving skills. But this is changing thanks to Deakin’s micro-credentials. These are university-level micro-credentials that provide an authoritative and third-party assessment of your capabilities in a range of areas, including problem solving. Reach out today for more information .

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5 Simple Steps to Effective Problem Solving

The ability to solve problems is a crucial skill in the modern workplace. It can make the difference between success and failure, and it can help you navigate the complexities of a fast-paced environment. But what exactly is effective problem solving? And how can you develop the skills needed to solve problems efficiently and effectively?

Effective problem solving involves several key steps that can help you identify the root cause of a problem, develop a plan of action, and implement that plan to achieve a successful outcome . Here are five simple steps you can take to develop your problem-solving skills and tackle any challenge that comes your way in the workplace.

Introduction

Have you ever found yourself in a situation where you’re faced with a workplace problem, and you’re not sure where to start? Whether it’s a customer complaint, a team conflict, or a project delay, it’s essential to address it promptly to maintain productivity and morale. In this article, we’ll provide practical steps that can help you effectively solve problems at your workplace.

Step 1: Define the Problem

The first step in effective problem solving is to define the problem clearly. Take the time to analyze the issue and gather as much information as possible. It’s crucial to identify the cause of the problem and its impact on your team or organization. For example, if a team member is underperforming, it’s essential to understand the root cause of the issue and how it’s affecting the team’s productivity. Is it a lack of training, motivation, or resources? Are there external factors, such as personal issues or workload, that are affecting their performance?

Once you have a clear understanding of the problem, you can begin to develop a plan of action to address it. It’s important to involve all stakeholders in this process, including those who are directly affected by the problem, to ensure that you have a complete picture of the situation. Involving others in the process can also help you gain different perspectives and insights, which can be valuable in developing an effective solution.

Step 2: Brainstorm Possible Solutions

After identifying the problem, the next step is to brainstorm possible solutions. It’s important to be creative and come up with as many solutions as possible, even if they seem unrealistic or impractical. Brainstorming can be done individually or in a group setting, where team members can bounce ideas off each other. In a group setting, it’s important to create an open and safe environment where everyone feels comfortable sharing their ideas. Remember to focus on generating ideas, without evaluating or criticizing them during the brainstorming session.

Once you have a list of possible solutions, evaluate each one based on their feasibility, potential impact, and costs. It’s important to consider the pros and cons of each solution before selecting the most appropriate one. Keep in mind that the solution may not be perfect, but it should be the best one available given the resources and constraints. By considering different options, you can increase the chances of finding an effective solution that addresses the problem.

Step 3: Evaluate the Solutions

When evaluating the solutions, it’s important to keep an open mind and consider different perspectives. Seek feedback from other team members or colleagues who may have a different point of view. It’s also important to consider the long-term effects of each solution, rather than just the immediate impact. For instance, while changing the project scope may seem like a quick fix to a delayed project, it could cause further delays or even impact the project’s success in the long run.

During the evaluation process, it’s essential to prioritize solutions based on their impact on the problem and their feasibility. Consider the resources, time, and effort required to implement each solution. Some solutions may be quick fixes that can be implemented immediately, while others may require more planning and preparation. It’s important to choose a solution that addresses the problem effectively while also being feasible to implement within the given resources and timeframe.

It’s also important to remember that not all solutions may work as expected. Be prepared to modify or pivot to a different solution if the initial solution does not yield the desired results. Additionally, ensure that the chosen solution aligns with the company’s policies and values and does not violate any ethical standards.

Step 4: Implement the Solution

Implementing the chosen solution requires careful planning and execution. The team needs to work together to ensure that the solution is implemented smoothly and efficiently. The plan should include a timeline, specific tasks, and deadlines. Assigning roles and responsibilities to each team member is crucial to ensure that everyone understands their role in the implementation process.

Effective communication is also essential during the implementation phase. The team should communicate regularly to discuss progress, identify any obstacles, and adjust the plan if necessary. For example, if the team decides to implement a new customer service strategy, they should train the customer service team, provide them with the necessary tools, and communicate the new strategy to customers.

It’s also important to track the progress of the implementation to ensure that everything is on track. Regular check-ins can help identify any problems early on and provide an opportunity to address them before they become bigger issues.

Step 5: Monitor and Adjust

Monitoring and adjusting the solution is crucial in ensuring that the problem is fully resolved. It’s essential to track the progress of the solution and evaluate its effectiveness. If the solution is not working as planned, it’s important to adjust it accordingly. This step requires flexibility and open communication among team members.

For example, if the team decided to adjust the project timeline, they should monitor the progress regularly and make adjustments if necessary. They should also communicate any changes to the stakeholders involved in the project. If the new timeline is not working, the team should be open to making further adjustments, such as revising the project scope or adding more resources.

Feedback plays a vital role in this step. It’s important to gather feedback from team members and stakeholders to ensure that the solution is meeting their needs. Feedback can also help identify any potential issues that may arise and allow the team to address them promptly.

Learning from mistakes is also an important aspect of effective problem solving. Every problem presents an opportunity to learn and grow. By reflecting on the process and the outcome, team members can identify areas for improvement and apply them in future problem-solving situations.

So, there you have it – a five-step process to solve any workplace problem like a pro! Whether it’s a pesky customer complaint, a tricky team conflict, or a stubborn project delay, you can tackle it with ease.

Remember, the first step is to define the problem – analyze it, gather information, and understand the root cause. Next, brainstorm possible solutions, even if they seem unrealistic or impractical. Get creative and come up with as many solutions as possible!

After that, evaluate the solutions by identifying their pros and cons, and choose the one that’s most feasible and practical. Make sure to consider the potential risks and benefits of each solution. Then, it’s time to implement the most practical solution. Develop a plan, communicate it to everyone involved, and assign roles and responsibilities.

Last but not least, monitor the progress and adjust the solution if necessary. Keep track of the progress and be open to feedback. Remember, learning from your mistakes is the key to success!

So, the next time you face a workplace problem, take a deep breath and follow these simple steps. You’ll be able to find a solution that works for everyone and become a valuable asset to your team or organization. With effective problem solving skills, you can maintain productivity, boost morale, and achieve success!

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The 5 steps of the solving problem process

August 17, 2023 by MindManager Blog

Whether you run a business, manage a team, or work in an industry where change is the norm, it may feel like something is always going wrong. Thankfully, becoming proficient in the problem solving process can alleviate a great deal of the stress that business issues can create.

Understanding the right way to solve problems not only takes the guesswork out of how to deal with difficult, unexpected, or complex situations, it can lead to more effective long-term solutions.

In this article, we’ll walk you through the 5 steps of problem solving, and help you explore a few examples of problem solving scenarios where you can see the problem solving process in action before putting it to work.

Understanding the problem solving process

When something isn’t working, it’s important to understand what’s at the root of the problem so you can fix it and prevent it from happening again. That’s why resolving difficult or complex issues works best when you apply proven business problem solving tools and techniques – from soft skills, to software.

The problem solving process typically includes:

Pinpointing what’s broken by gathering data and consulting with team members.
Figuring out why it’s not working by mapping out and troubleshooting the problem.
Deciding on the most effective way to fix it by brainstorming and then implementing a solution.

While skills like active listening, collaboration, and leadership play an important role in problem solving, tools like visual mapping software make it easier to define and share problem solving objectives, play out various solutions, and even put the best fit to work.

Before you can take your first step toward solving a problem, you need to have a clear idea of what the issue is and the outcome you want to achieve by resolving it.

For example, if your company currently manufactures 50 widgets a day, but you’ve started processing orders for 75 widgets a day, you could simply say you have a production deficit.

However, the problem solving process will prove far more valuable if you define the start and end point by clarifying that production is running short by 25 widgets a day, and you need to increase daily production by 50%.

Once you know where you’re at and where you need to end up, these five steps will take you from Point A to Point B:

Figure out what’s causing the problem . You may need to gather knowledge and evaluate input from different documents, departments, and personnel to isolate the factors that are contributing to your problem. Knowledge visualization software like MindManager can help.
Come up with a few viable solutions . Since hitting on exactly the right solution – right away – can be tough, brainstorming with your team and mapping out various scenarios is the best way to move forward. If your first strategy doesn’t pan out, you’ll have others on tap you can turn to.
Choose the best option . Decision-making skills, and software that lets you lay out process relationships, priorities, and criteria, are invaluable for selecting the most promising solution. Whether it’s you or someone higher up making that choice, it should include weighing costs, time commitments, and any implementation hurdles.
Put your chosen solution to work . Before implementing your fix of choice, you should make key personnel aware of changes that might affect their daily workflow, and set up benchmarks that will make it easy to see if your solution is working.
Evaluate your outcome . Now comes the moment of truth: did the solution you implemented solve your problem? Do your benchmarks show you achieved the outcome you wanted? If so, congratulations! If not, you’ll need to tweak your solution to meet your problem solving goal.

In practice, you might not hit a home-run with every solution you execute. But the beauty of a repeatable process like problem solving is that you can carry out steps 4 and 5 again by drawing from the brainstorm options you documented during step 2.

Examples of problem solving scenarios

The best way to get a sense of how the problem solving process works before you try it for yourself is to work through some simple scenarios.

Here are three examples of how you can apply business problem solving techniques to common workplace challenges.

Scenario #1: Manufacturing

Building on our original manufacturing example, you determine that your company is consistently short producing 25 widgets a day and needs to increase daily production by 50%.

Since you’d like to gather data and input from both your manufacturing and sales order departments, you schedule a brainstorming session to discover the root cause of the shortage.

After examining four key production areas – machines, materials, methods, and management – you determine the cause of the problem: the material used to manufacture your widgets can only be fed into your equipment once the machinery warms up to a specific temperature for the day.

Your team comes up with three possible solutions.

Leave your machinery running 24 hours so it’s always at temperature.
Invest in equipment that heats up faster.
Find an alternate material for your widgets.

After weighing the expense of the first two solutions, and conducting some online research, you decide that switching to a comparable but less expensive material that can be worked at a lower temperature is your best option.

You implement your plan, monitor your widget quality and output over the following week, and declare your solution a success when daily production increases by 100%.

Scenario #2: Service Delivery

Business training is booming and you’ve had to onboard new staff over the past month. Now you learn that several clients have expressed concern about the quality of your recent training sessions.

After speaking with both clients and staff, you discover there are actually two distinct factors contributing to your quality problem:

The additional conference room you’ve leased to accommodate your expanding training sessions has terrible acoustics
The AV equipment you’ve purchased to accommodate your expanding workforce is on back-order – and your new hires have been making do without

You could look for a new conference room or re-schedule upcoming training sessions until after your new equipment arrives. But your team collaboratively determines that the best way to mitigate both issues at once is by temporarily renting the high-quality sound and visual system they need.

Using benchmarks that include several weeks of feedback from session attendees, and random session spot-checks you conduct personally, you conclude the solution has worked.

Scenario #3: Marketing

You’ve invested heavily in product marketing, but still can’t meet your sales goals. Specifically, you missed your revenue target by 30% last year and would like to meet that same target this year.

After collecting and examining reams of information from your sales and accounting departments, you sit down with your marketing team to figure out what’s hindering your success in the marketplace.

Determining that your product isn’t competitively priced, you map out two viable solutions.

Hire a third-party specialist to conduct a detailed market analysis.
Drop the price of your product to undercut competitors.

Since you’re in a hurry for results, you decide to immediately reduce the price of your product and market it accordingly.

When revenue figures for the following quarter show sales have declined even further – and marketing surveys show potential customers are doubting the quality of your product – you revert back to your original pricing, revisit your problem solving process, and implement the market analysis solution instead.

With the valuable information you gain, you finally arrive at just the right product price for your target market and sales begin to pick up. Although you miss your revenue target again this year, you meet it by the second quarter of the following year.

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Problem-Solving Strategies and Obstacles

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From deciding what to eat for dinner to considering whether it's the right time to buy a house, problem-solving is a large part of our daily lives. Learn some of the problem-solving strategies that exist and how to use them in real life, along with ways to overcome obstacles that are making it harder to resolve the issues you face.

What Is Problem-Solving?

In cognitive psychology , the term 'problem-solving' refers to the mental process that people go through to discover, analyze, and solve problems.

A problem exists when there is a goal that we want to achieve but the process by which we will achieve it is not obvious to us. Put another way, there is something that we want to occur in our life, yet we are not immediately certain how to make it happen.

Maybe you want a better relationship with your spouse or another family member but you're not sure how to improve it. Or you want to start a business but are unsure what steps to take. Problem-solving helps you figure out how to achieve these desires.

The problem-solving process involves:

Discovery of the problem
Deciding to tackle the issue
Seeking to understand the problem more fully
Researching available options or solutions
Taking action to resolve the issue

Before problem-solving can occur, it is important to first understand the exact nature of the problem itself. If your understanding of the issue is faulty, your attempts to resolve it will also be incorrect or flawed.

Problem-Solving Mental Processes

Several mental processes are at work during problem-solving. Among them are:

Perceptually recognizing the problem
Representing the problem in memory
Considering relevant information that applies to the problem
Identifying different aspects of the problem
Labeling and describing the problem

Problem-Solving Strategies

There are many ways to go about solving a problem. Some of these strategies might be used on their own, or you may decide to employ multiple approaches when working to figure out and fix a problem.

An algorithm is a step-by-step procedure that, by following certain "rules" produces a solution. Algorithms are commonly used in mathematics to solve division or multiplication problems. But they can be used in other fields as well.

In psychology, algorithms can be used to help identify individuals with a greater risk of mental health issues. For instance, research suggests that certain algorithms might help us recognize children with an elevated risk of suicide or self-harm.

One benefit of algorithms is that they guarantee an accurate answer. However, they aren't always the best approach to problem-solving, in part because detecting patterns can be incredibly time-consuming.

There are also concerns when machine learning is involved—also known as artificial intelligence (AI)—such as whether they can accurately predict human behaviors.

Heuristics are shortcut strategies that people can use to solve a problem at hand. These "rule of thumb" approaches allow you to simplify complex problems, reducing the total number of possible solutions to a more manageable set.

If you find yourself sitting in a traffic jam, for example, you may quickly consider other routes, taking one to get moving once again. When shopping for a new car, you might think back to a prior experience when negotiating got you a lower price, then employ the same tactics.

While heuristics may be helpful when facing smaller issues, major decisions shouldn't necessarily be made using a shortcut approach. Heuristics also don't guarantee an effective solution, such as when trying to drive around a traffic jam only to find yourself on an equally crowded route.

Trial and Error

A trial-and-error approach to problem-solving involves trying a number of potential solutions to a particular issue, then ruling out those that do not work. If you're not sure whether to buy a shirt in blue or green, for instance, you may try on each before deciding which one to purchase.

This can be a good strategy to use if you have a limited number of solutions available. But if there are many different choices available, narrowing down the possible options using another problem-solving technique can be helpful before attempting trial and error.

In some cases, the solution to a problem can appear as a sudden insight. You are facing an issue in a relationship or your career when, out of nowhere, the solution appears in your mind and you know exactly what to do.

Insight can occur when the problem in front of you is similar to an issue that you've dealt with in the past. Although, you may not recognize what is occurring since the underlying mental processes that lead to insight often happen outside of conscious awareness .

Research indicates that insight is most likely to occur during times when you are alone—such as when going on a walk by yourself, when you're in the shower, or when lying in bed after waking up.

How to Apply Problem-Solving Strategies in Real Life

If you're facing a problem, you can implement one or more of these strategies to find a potential solution. Here's how to use them in real life:

Create a flow chart . If you have time, you can take advantage of the algorithm approach to problem-solving by sitting down and making a flow chart of each potential solution, its consequences, and what happens next.
Recall your past experiences . When a problem needs to be solved fairly quickly, heuristics may be a better approach. Think back to when you faced a similar issue, then use your knowledge and experience to choose the best option possible.
Start trying potential solutions . If your options are limited, start trying them one by one to see which solution is best for achieving your desired goal. If a particular solution doesn't work, move on to the next.
Take some time alone . Since insight is often achieved when you're alone, carve out time to be by yourself for a while. The answer to your problem may come to you, seemingly out of the blue, if you spend some time away from others.

Obstacles to Problem-Solving

Problem-solving is not a flawless process as there are a number of obstacles that can interfere with our ability to solve a problem quickly and efficiently. These obstacles include:

Assumptions: When dealing with a problem, people can make assumptions about the constraints and obstacles that prevent certain solutions. Thus, they may not even try some potential options.
Functional fixedness : This term refers to the tendency to view problems only in their customary manner. Functional fixedness prevents people from fully seeing all of the different options that might be available to find a solution.
Irrelevant or misleading information: When trying to solve a problem, it's important to distinguish between information that is relevant to the issue and irrelevant data that can lead to faulty solutions. The more complex the problem, the easier it is to focus on misleading or irrelevant information.
Mental set: A mental set is a tendency to only use solutions that have worked in the past rather than looking for alternative ideas. A mental set can work as a heuristic, making it a useful problem-solving tool. However, mental sets can also lead to inflexibility, making it more difficult to find effective solutions.

How to Improve Your Problem-Solving Skills

In the end, if your goal is to become a better problem-solver, it's helpful to remember that this is a process. Thus, if you want to improve your problem-solving skills, following these steps can help lead you to your solution:

Recognize that a problem exists . If you are facing a problem, there are generally signs. For instance, if you have a mental illness , you may experience excessive fear or sadness, mood changes, and changes in sleeping or eating habits. Recognizing these signs can help you realize that an issue exists.
Decide to solve the problem . Make a conscious decision to solve the issue at hand. Commit to yourself that you will go through the steps necessary to find a solution.
Seek to fully understand the issue . Analyze the problem you face, looking at it from all sides. If your problem is relationship-related, for instance, ask yourself how the other person may be interpreting the issue. You might also consider how your actions might be contributing to the situation.
Research potential options . Using the problem-solving strategies mentioned, research potential solutions. Make a list of options, then consider each one individually. What are some pros and cons of taking the available routes? What would you need to do to make them happen?
Take action . Select the best solution possible and take action. Action is one of the steps required for change . So, go through the motions needed to resolve the issue.
Try another option, if needed . If the solution you chose didn't work, don't give up. Either go through the problem-solving process again or simply try another option.

You can find a way to solve your problems as long as you keep working toward this goal—even if the best solution is simply to let go because no other good solution exists.

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Chrysikou EG, Motyka K, Nigro C, Yang SI, Thompson-Schill SL. Functional fixedness in creative thinking tasks depends on stimulus modality . Psychol Aesthet Creat Arts . 2016;10(4):425‐435. doi:10.1037/aca0000050

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By Kendra Cherry, MSEd Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

7 Steps to an Effective Problem-Solving Process

September 1, 2016 | Leadership Articles

An effective problem-solving process is one of the key attributes that separate great leaders from average ones.

Being a successful leader doesn’t mean that you don’t have any problems. Rather, it means that you know how to solve problems effectively as they arise. If you never had to deal with any problems, chances are pretty high that your company doesn’t really need you. They could hire an entry-level person to do your job!

Unfortunately, there are many examples of leaders out there who have been promoted to management or leadership positions because they are competent and excel in the technical skills needed to do the work. These people find themselves suddenly needing to “think on their feet” and solve problems that are far more high-level and complicated than they’ve ever really had to deal with before. Are there tools available to these people to help them solve the problem correctly and effectively? Absolutely!

Today, I am going to introduce you to the Seven Steps of Effective Problem Solving that Bullet Proof® Managers are learning about, developing, and implementing in their teams.

Step 1: Identify the Problem

What are things like when they are the way we want them to be?

This question helps you find the standard against which we’re going to measure where we are now. If things were going the way we want them to go, what does that look like? If this person were doing the job we want him or her to do, what would they be doing?

And then ask this important question: How much variation from the norm is tolerable?

Therein lies the problem. From an engineering perspective, you might have very little tolerance. From a behavioral perspective, you might have more tolerance. You might say it’s okay with me when this person doesn’t do it exactly as I say because I’m okay with them taking some liberty with this. Some other issue you may need 100% compliance.

Step 2: Analyze the Problem

At what stage is this problem? This helps you identify the urgency of the problem, and there are generally three stages.

The emergent stage is where the problem is just beginning to happen. It does not cause an immediate threat to the way business operates every day. It is just beginning to happen and you have time on your side to be able to correct it without it causing much damage to the processes it is affecting. The mature stage is where this problem is causing more than just minor damage. Some amount of damage has been done, and you need to jump on it immediately to fix it before it becomes a problem where the consequences may be greater, deeper, and more expensive if we don’t solve this problem fast.

The third stage is the crisis stage, when the problem is so serious it must be corrected immediately. At this stage, real damage has been done to company processes, reputation, finances, etc. that will have potentially long-term effects on your ability to do business.

Step 3: Describe the Problem

You should be able to describe a problem by writing it in the form of a statement and you should do it in 12 words or less, assuming it’s not a complicated, scientific problem. This way, you have clarity exactly what the issue is. Then, perhaps try distributing it to your team to ensure they agree that this is the root of the problem, that it makes sense, and everyone that is working toward a solution is working toward the same goal.

The most important question of all, when describing your problem: Is your premise correct?

Let me give you an example of what I mean. We’ve all heard – or read – the story of the engineer’s take on the old “half empty, half full” question. A speaker holds up the glass of water and asks if the glass is half empty or half full, a discussion within the group ensues, and you generally expect some sort of lesson in optimism, etc. from it. In this version, an engineer is in the room and answers, “I see this glass of water as being twice the size it needs to be.”

You see, sometimes when you are the one in charge of the problem, you tend to set the premise of the problem from your own perspective. But, that premise may not be accurate, or it may just need an alternate perspective from which to see it. If your premise is not correct, or at least incomplete, you are not fully understanding the problem and considering all the best options for a solution.

Step 4: Look for Root Causes

This step involves asking and answering a lot of questions. Ask questions like: What caused this problem? Who is responsible for this problem? When did this problem first emerge? Why did this happen? How did this variance from the standard come to be? Where does it hurt us the most? How do we go about resolving this problem?

Also, ask the most important question: Can we solve this problem for good so it will never occur again? Because an important aspect to leadership is coming up with solutions that people can use for a long-term benefit, rather than having to deal with the same problems over and over and over.

Step 5: Develop Alternate Solutions

Just about any problem you have to deal with has more solutions to it than the one that you think of first. So, it is best to develop a list of alternate solutions that you and your team can assess and decide which one will be the best for the particular problem. I often use the ⅓ + 1 Rule to create consensus around one – or the top two or three solutions – that will be best for everyone involved.

Then rank those solutions based on efficiency, cost, long-term value, what resources you have and that you can commit to the solution of the problem. Then, look at every one of those solutions carefully and decide what you believe to be the best solution to this problem at this time.

Step 6: Implement the Solution

Implementing the solution you decide on can include creating an implementation plan. It could also include planning on what happens next if something goes wrong with the solution if it doesn’t work out the way you thought it would. Implementation means that everyone on your team knows and understands their part in making the solution work, that there are timelines for execution, and also that you have a system in place to track whether or not the solution has corrected the problem.

Step 7: Measure the Results

From your implementation plan in step 6, make sure you track and measure the results so you can answer questions such as: Did it work? Was this a good solution? Did we learn something here in the implementation that we could apply to other potential problems?

These seven simple steps will help you become a more effective, efficient problem solver in your organization. As you practice this process and develop the skills, these steps will become more natural to you until the point that you are using them without noticing!

About Crestcom International, LLC.

Crestcom International, LLC is an international leadership development organization, training more than one million leaders for 25,000 businesses in over 60 countries across the globe. Crestcom achieves this through a blend of live-facilitated multimedia video, interactive exercises, and shared learning experiences. Crestcom implements action plans and coaching accountability sessions to ensure measured development in key leadership competency areas. For more information, please contact your local Crestcom representative found here .

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10 Problem-solving strategies to turn challenges on their head

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What is an example of problem-solving?

What are the 5 steps to problem-solving, 10 effective problem-solving strategies, what skills do efficient problem solvers have, how to improve your problem-solving skills.

Problems come in all shapes and sizes — from workplace conflict to budget cuts.

Creative problem-solving is one of the most in-demand skills in all roles and industries. It can boost an organization’s human capital and give it a competitive edge.

Problem-solving strategies are ways of approaching problems that can help you look beyond the obvious answers and find the best solution to your problem .

Let’s take a look at a five-step problem-solving process and how to combine it with proven problem-solving strategies. This will give you the tools and skills to solve even your most complex problems.

Good problem-solving is an essential part of the decision-making process . To see what a problem-solving process might look like in real life, let’s take a common problem for SaaS brands — decreasing customer churn rates.

To solve this problem, the company must first identify it. In this case, the problem is that the churn rate is too high.

Next, they need to identify the root causes of the problem. This could be anything from their customer service experience to their email marketing campaigns. If there are several problems, they will need a separate problem-solving process for each one.

Let’s say the problem is with email marketing — they’re not nurturing existing customers. Now that they’ve identified the problem, they can start using problem-solving strategies to look for solutions.

This might look like coming up with special offers, discounts, or bonuses for existing customers. They need to find ways to remind them to use their products and services while providing added value. This will encourage customers to keep paying their monthly subscriptions.

They might also want to add incentives, such as access to a premium service at no extra cost after 12 months of membership. They could publish blog posts that help their customers solve common problems and share them as an email newsletter.

The company should set targets and a time frame in which to achieve them. This will allow leaders to measure progress and identify which actions yield the best results.

Perhaps you’ve got a problem you need to tackle. Or maybe you want to be prepared the next time one arises. Either way, it’s a good idea to get familiar with the five steps of problem-solving.

Use this step-by-step problem-solving method with the strategies in the following section to find possible solutions to your problem.

1. Identify the problem

The first step is to know which problem you need to solve. Then, you need to find the root cause of the problem.

The best course of action is to gather as much data as possible, speak to the people involved, and separate facts from opinions.

Once this is done, formulate a statement that describes the problem. Use rational persuasion to make sure your team agrees .

2. Break the problem down

Identifying the problem allows you to see which steps need to be taken to solve it.

First, break the problem down into achievable blocks. Then, use strategic planning to set a time frame in which to solve the problem and establish a timeline for the completion of each stage.

3. Generate potential solutions

At this stage, the aim isn’t to evaluate possible solutions but to generate as many ideas as possible.

Encourage your team to use creative thinking and be patient — the best solution may not be the first or most obvious one.

Use one or more of the different strategies in the following section to help come up with solutions — the more creative, the better.

4. Evaluate the possible solutions

Once you’ve generated potential solutions, narrow them down to a shortlist. Then, evaluate the options on your shortlist.

There are usually many factors to consider. So when evaluating a solution, ask yourself the following questions:

Will my team be on board with the proposition?
Does the solution align with organizational goals ?
Is the solution likely to achieve the desired outcomes?
Is the solution realistic and possible with current resources and constraints?
Will the solution solve the problem without causing additional unintended problems?

woman-helping-her-colleague-problem-solving-strategies

5. Implement and monitor the solutions

Once you’ve identified your solution and got buy-in from your team, it’s time to implement it.

But the work doesn’t stop there. You need to monitor your solution to see whether it actually solves your problem.

Request regular feedback from the team members involved and have a monitoring and evaluation plan in place to measure progress.

If the solution doesn’t achieve your desired results, start this step-by-step process again.

There are many different ways to approach problem-solving. Each is suitable for different types of problems.

The most appropriate problem-solving techniques will depend on your specific problem. You may need to experiment with several strategies before you find a workable solution.

Here are 10 effective problem-solving strategies for you to try:

Use a solution that worked before
Brainstorming
Work backward
Use the Kipling method
Draw the problem
Use trial and error
Sleep on it
Get advice from your peers
Use the Pareto principle
Add successful solutions to your toolkit

Let’s break each of these down.

1. Use a solution that worked before

It might seem obvious, but if you’ve faced similar problems in the past, look back to what worked then. See if any of the solutions could apply to your current situation and, if so, replicate them.

2. Brainstorming

The more people you enlist to help solve the problem, the more potential solutions you can come up with.

Use different brainstorming techniques to workshop potential solutions with your team. They’ll likely bring something you haven’t thought of to the table.

3. Work backward

Working backward is a way to reverse engineer your problem. Imagine your problem has been solved, and make that the starting point.

Then, retrace your steps back to where you are now. This can help you see which course of action may be most effective.

4. Use the Kipling method

This is a method that poses six questions based on Rudyard Kipling’s poem, “ I Keep Six Honest Serving Men .”

What is the problem?
Why is the problem important?
When did the problem arise, and when does it need to be solved?
How did the problem happen?
Where is the problem occurring?
Who does the problem affect?

Answering these questions can help you identify possible solutions.

5. Draw the problem

Sometimes it can be difficult to visualize all the components and moving parts of a problem and its solution. Drawing a diagram can help.

This technique is particularly helpful for solving process-related problems. For example, a product development team might want to decrease the time they take to fix bugs and create new iterations. Drawing the processes involved can help you see where improvements can be made.

woman-drawing-mind-map-problem-solving-strategies

6. Use trial-and-error

A trial-and-error approach can be useful when you have several possible solutions and want to test them to see which one works best.

7. Sleep on it

Finding the best solution to a problem is a process. Remember to take breaks and get enough rest . Sometimes, a walk around the block can bring inspiration, but you should sleep on it if possible.

A good night’s sleep helps us find creative solutions to problems. This is because when you sleep, your brain sorts through the day’s events and stores them as memories. This enables you to process your ideas at a subconscious level.

If possible, give yourself a few days to develop and analyze possible solutions. You may find you have greater clarity after sleeping on it. Your mind will also be fresh, so you’ll be able to make better decisions.

8. Get advice from your peers

Getting input from a group of people can help you find solutions you may not have thought of on your own.

For solo entrepreneurs or freelancers, this might look like hiring a coach or mentor or joining a mastermind group.

For leaders , it might be consulting other members of the leadership team or working with a business coach .

It’s important to recognize you might not have all the skills, experience, or knowledge necessary to find a solution alone.

9. Use the Pareto principle

The Pareto principle — also known as the 80/20 rule — can help you identify possible root causes and potential solutions for your problems.

Although it’s not a mathematical law, it’s a principle found throughout many aspects of business and life. For example, 20% of the sales reps in a company might close 80% of the sales.

You may be able to narrow down the causes of your problem by applying the Pareto principle. This can also help you identify the most appropriate solutions.

10. Add successful solutions to your toolkit

Every situation is different, and the same solutions might not always work. But by keeping a record of successful problem-solving strategies, you can build up a solutions toolkit.

These solutions may be applicable to future problems. Even if not, they may save you some of the time and work needed to come up with a new solution.

three-colleagues-looking-at-computer-problem-solving-strategies

Improving problem-solving skills is essential for professional development — both yours and your team’s. Here are some of the key skills of effective problem solvers:

Critical thinking and analytical skills
Communication skills , including active listening
Decision-making
Planning and prioritization
Emotional intelligence , including empathy and emotional regulation
Time management
Data analysis
Research skills
Project management

And they see problems as opportunities. Everyone is born with problem-solving skills. But accessing these abilities depends on how we view problems. Effective problem-solvers see problems as opportunities to learn and improve.

Ready to work on your problem-solving abilities? Get started with these seven tips.

1. Build your problem-solving skills

One of the best ways to improve your problem-solving skills is to learn from experts. Consider enrolling in organizational training , shadowing a mentor , or working with a coach .

2. Practice

Practice using your new problem-solving skills by applying them to smaller problems you might encounter in your daily life.

Alternatively, imagine problematic scenarios that might arise at work and use problem-solving strategies to find hypothetical solutions.

3. Don’t try to find a solution right away

Often, the first solution you think of to solve a problem isn’t the most appropriate or effective.

Instead of thinking on the spot, give yourself time and use one or more of the problem-solving strategies above to activate your creative thinking.

two-colleagues-talking-at-corporate-event-problem-solving-strategies

4. Ask for feedback

Receiving feedback is always important for learning and growth. Your perception of your problem-solving skills may be different from that of your colleagues. They can provide insights that help you improve.

5. Learn new approaches and methodologies

There are entire books written about problem-solving methodologies if you want to take a deep dive into the subject.

We recommend starting with “ Fixed — How to Perfect the Fine Art of Problem Solving ” by Amy E. Herman.

6. Experiment

Tried-and-tested problem-solving techniques can be useful. However, they don’t teach you how to innovate and develop your own problem-solving approaches.

Sometimes, an unconventional approach can lead to the development of a brilliant new idea or strategy. So don’t be afraid to suggest your most “out there” ideas.

7. Analyze the success of your competitors

Do you have competitors who have already solved the problem you’re facing? Look at what they did, and work backward to solve your own problem.

For example, Netflix started in the 1990s as a DVD mail-rental company. Its main competitor at the time was Blockbuster.

But when streaming became the norm in the early 2000s, both companies faced a crisis. Netflix innovated, unveiling its streaming service in 2007.

If Blockbuster had followed Netflix’s example, it might have survived. Instead, it declared bankruptcy in 2010.

Use problem-solving strategies to uplevel your business

When facing a problem, it’s worth taking the time to find the right solution.

Otherwise, we risk either running away from our problems or headlong into solutions. When we do this, we might miss out on other, better options.

Use the problem-solving strategies outlined above to find innovative solutions to your business’ most perplexing problems.

If you’re ready to take problem-solving to the next level, request a demo with BetterUp . Our expert coaches specialize in helping teams develop and implement strategies that work.

Boost your productivity

Maximize your time and productivity with strategies from our expert coaches.

Elizabeth Perry, ACC

Elizabeth Perry is a Coach Community Manager at BetterUp. She uses strategic engagement strategies to cultivate a learning community across a global network of Coaches through in-person and virtual experiences, technology-enabled platforms, and strategic coaching industry partnerships. With over 3 years of coaching experience and a certification in transformative leadership and life coaching from Sofia University, Elizabeth leverages transpersonal psychology expertise to help coaches and clients gain awareness of their behavioral and thought patterns, discover their purpose and passions, and elevate their potential. She is a lifelong student of psychology, personal growth, and human potential as well as an ICF-certified ACC transpersonal life and leadership Coach.

8 creative solutions to your most challenging problems

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The 5 Steps of Problem Solving

5-steps-of-problem-solving-humor-that-works-3

Problem solving is a critical skill for success in business – in fact it’s often what you are hired and paid to do. This article explains the five problem solving steps and provides strategies on how to execute each one.

Defining Problem Solving

Before we talk about the stages of problem solving, it’s important to have a definition of what it is. Let’s look at the two roots of problem solving — problems and solutions.

Problem – a state of desire for reaching a definite goal from a present condition [1] Solution – the management of a problem in a way that successfully meets the goals set for treating it

[1] Problem solving on Wikipedia

One important call-out is the importance of having a goal. As defined above, the solution may not completely solve problem, but it does meet the goals you establish for treating it–you may not be able to completely resolve the problem (end world hunger), but you can have a goal to help it (reduce the number of starving children by 10%).

The Five Steps of Problem Solving

With that understanding of problem solving, let’s talk about the steps that can get you there. The five problem solving steps are shown in the chart below:

However this chart as is a little misleading. Not all problems follow these steps linearly, especially for very challenging problems. Instead, you’ll likely move back and forth between the steps as you continue to work on the problem, as shown below:

Let’s explore of these steps in more detail, understanding what it is and the inputs and outputs of each phase.

1. Define the Problem

aka What are you trying to solve? In addition to getting clear on what the problem is, defining the problem also establishes a goal for what you want to achieve.

Input: something is wrong or something could be improved. Output: a clear definition of the opportunity and a goal for fixing it.

2. Brainstorm Ideas

aka What are some ways to solve the problem? The goal is to create a list of possible solutions to choose from. The harder the problem, the more solutions you may need.

Input: a goal; research of the problem and possible solutions; imagination. Output: pick-list of possible solutions that would achieve the stated goal.

3. Decide on a Solution

aka What are you going to do? The ideal solution is effective (it will meet the goal), efficient (is affordable), and has the fewest side effects (limited consequences from implementation).

Input: pick-list of possible solutions; decision-making criteria. Output: decision of what solution you will implement.

4. Implement the Solution

aka What are you doing? The implementation of a solution requires planning and execution. It’s often iterative, where the focus should be on short implementation cycles with testing and feedback, not trying to get it “perfect” the first time.

Input: decision; planning; hard work. Output: resolution to the problem.

5. Review the Results

aka What did you do? To know you successfully solved the problem, it’s important to review what worked, what didn’t and what impact the solution had. It also helps you improve long-term problem solving skills and keeps you from re-inventing the wheel.

Input: resolutions; results of the implementation. Output: insights; case-studies; bullets on your resume.

Improving Problem Solving Skills

Once you understand the five steps of problem solving, you can build your skill level in each one. Often we’re naturally good at a couple of the phases and not as naturally good at others. Some people are great at generating ideas but struggle implementing them. Other people have great execution skills but can’t make decisions on which solutions to use. Knowing the different problem solving steps allows you to work on your weak areas, or team-up with someone who’s strengths complement yours.

Want to improve your problem solving skills? Want to perfect the art of problem solving? Check out our training programs or try these 20 problem solving activities to improve creativity .

THIS FREE 129 SECOND QUIZ WILL SHOW YOU

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22 thoughts on “The 5 Steps of Problem Solving”

very helpful and informative training

Thank you for the information

YOU ARE AFOOL

I’m writing my 7th edition of Effective Security Management. I would like to use your circular graphic illustration in a new chapter on problem solving. You’re welcome to phone me at — with attribution.

Sure thing, shoot us an email at [email protected] .

i love your presentation. It’s very clear. I think I would use it in teaching my class problem solving procedures. Thank you

It is well defined steps, thank you.

these step can you email them to me so I can print them out these steps are very helpful

I like the content of this article, it is really helpful. I would like to know much on how PAID process (i.e. Problem statement, Analyze the problem, Identify likely causes, and Define the actual causes) works in Problem Solving.

very useful information on problem solving process.Thank you for the update.

Pingback: Let’s Look at Work Is Working with the Environment | #EnviroSociety

It makes sense that a business would want to have an effective problem solving strategy. Things could get bad if they can’t find solutions! I think one of the most important things about problem solving is communication.

Well in our school teacher teach us –

1) problem ldentification 2) structuring the problem 3) looking for possible solutions 4) lmplementation 5) monitoring or seeking feedback 6) decision making

Pleace write about it …

I teach Professional communication (Speech) and I find the 5 steps to problem solving as described here the best method. Your teacher actually uses 4 steps. The Feedback and decision making are follow up to the actual implementation and solving of the problem.

i know the steps of doing some guideline for problem solving

steps are very useful to solve my problem

The steps given are very effective. Thank you for the wonderful presentation of the cycle/steps/procedure and their connections.

I like the steps for problem solving

It is very useful for solving difficult problem i would reccomend it to a friend

this is very interesting because once u have learned you will always differentiate the right from the wrong.

I like the contents of the problem solving steps. informative.

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Solving Multi-Step Linear Equations with Fractions

Solving multi-step linear equations with fractions requires a clear understanding of algebraic principles and fraction operations. This process involves systematically isolating the variable by performing operations such as addition, subtraction, multiplication, and division on both sides of the equation.

In this article, we’ll break down the process of solving multi-step linear equations with fractions into simple, manageable steps. My goal is to make sure you feel confident and capable when tackling these problems. We’ll cover the essential techniques, highlight common mistakes to avoid, and provide practical examples to show how these equations are used in real life. Plus, we’ll include FAQs and solved problems to help reinforce your understanding.

What is Multi-Step Linear Equations with Fractions?

Multi-step linear equations with fractions are algebraic equations that involve multiple operations (addition, subtraction, multiplication, division) to isolate the variable. These equations also contain fractions, which add an extra layer of complexity. The goal is to simplify the equation step-by-step until the variable is isolated on one side of the equation.

Fractions : Parts of a whole, represented as a ratio of two integers, such as [Tex]\frac{a}{b}[/Tex] , Where a is the numerator and b numerator and b is the denominator.
Operations : The sequence of mathematical actions performed to simplify and solve the equation, including addition, subtraction, multiplication, and division.
Isolation of the Variable: The process of manipulating the equation to get the variable (usually represented as x ) alone on one side.

Example Multi-Step Linear Equations with Fractions

Consider the equation [Tex]\frac{3x}{5} – \frac{2}{3} = \frac{1}{2}[/Tex] . To solve this equation, follow these steps :

Step 1: Find the least common denominator (LCD) of fractions, i.e. 30. Step 2: Multiply each term by 30 to clear the fractions: 30(3x/5) – 30(2/3) = 30(1/2) Step 3: Simplify: 18x – 20 = 15 Step 4: Isolate the variable x by adding 20 to both sides: 18x = 35 Step 5: Finally, divide by 18 to solve for x: x = 35/18

Important Formulas Multi-Step Linear Equations with Fractions

Understanding key formulas and concepts is crucial for solving multi-step linear equations with fractions. Here are the important ones:

Distributive Property

The distributive property allows you to eliminate parentheses by distributing multiplication over addition or subtraction within the parentheses.

Formula: a(b+c) = ab + ac

Combining Like Terms

Combine terms with the same variable to simplify the equation.

Formula: ax + bx = (a+b)x

Addition and Subtraction Properties of Equality

Add or subtract the same value from both sides of the equation to help isolate the variable.

Formula: if a = b, than a + c = b+c and a-c = b-c

Multiplication and Division Properties of Equality

Multiply or divide both sides of the equation by the same nonzero number to isolate the variable.

Formula: If a=b , than a*c = b*c (for [Tex]c \neq 0[/Tex] ) and [Tex]\frac{a}{c} = \frac{b}{c} [/Tex] (for [Tex]c \neq 0[/Tex] ).

Reciprocal of a Fraction

When dividing by a fraction, multiply by its reciprocal.

Formula: [Tex]\frac{a}{\frac{b}{c}} = a\cdot \frac{c}{b}[/Tex]

Cross-Multiplication (for Equations with Two Fractions)

For equations involving two fractions set equal to each other, cross-multiply to clear the fractions.

Formula: If [Tex]\frac{a}{b} = \frac{c}{d},[/Tex] then ad = bc.

Linear Equations with Fractions

Concept related to Linear equation with fractions is added below:

Definition : Linear equations are mathematical statements of equality involving variables and constants. When fractions are included, these equations can be written in the form , where a,b, c,d, e are integers, and c and e are not zero.

Examples of Linear Equations with Fractions [Tex]\bold{\frac{3x+2}{4} = \frac{5}{6}}[/Tex] [Tex]\bold{\frac{2x-7}{5} + \frac{3}{8} = \frac{4}{9}}[/Tex]

Steps to Solve Multi-Step Linear Equations with Fractions

Follow the steps added below to Solve Multi-Step Linear Equations with Fractions

Step 1: Simplify the Fractions

Ensure all fractions are in their simplest form. For example, reduce [Tex]\frac{4}{8}[/Tex] to [Tex]\frac{1}{2}[/Tex]

Step 2: Find the Least Common Denominator (LCD)

Identify the LCD of all the fractions in the equation. The LCD is the smallest number that all denominators can divide into evenly.

Step 3: Clear the Fractions

Multiply every term in the equation by the LCD to eliminate the fractions. For example, in the equation [Tex]\bold{\frac{2x}{3} + \frac{1}{4} = \frac{5}{6}}[/Tex] , the LCD is 12. Multiply every term by 12: [Tex]\bold{12(\frac{2x}{3}) + 12(\frac{1}{4}) = 12(\frac{5}{6})} [/Tex] [Tex]\bold{8x + 3 = 10}[/Tex]

Step 4: Solve the Simplified Equation

Solve the resulting linear equation using standard algebraic methods. For example: [Tex]\bold{8x + 3 = 10}[/Tex] [Tex]\bold{8x = 7}[/Tex] [Tex]\bold{x = \frac{7}{8}}[/Tex]

Common Mistakes and How to Avoid Them

Misinterpreting Fractions : Always double-check the fractions to ensure they are correctly understood.
Incorrectly Simplifying Fractions : Verify that all fractions are simplified before proceeding.
Errors in Arithmetic Operations : Carefully perform all arithmetic operations and recheck your work to avoid mistakes.

Examples Related to Solving Multi-Step Linear Equations with Fractions

Example 1: Solve [Tex]\bold{\frac{3x}{5} – \frac{2}{3} = \frac{1}{2}}[/Tex]

Find the Least Common Denominator (LCD) of 5, 3, and 2, which is equal to 30. Multiply through by 30: [Tex]\bold{30(\frac{3x}{5}) – 30(\frac{2}{3}) = 30(\frac{1}{2})} [/Tex] [Tex]\bold{18x − 20 = 15} [/Tex] [Tex]\bold{18x=35}[/Tex] [Tex]\bold{x = \frac{35}{18}}[/Tex]

Example 2: Solve [Tex]\bold{\frac{4x}{7} + \frac{5}{6} = \frac{3}{2}}[/Tex]

Find the LCD of 7, 6, and 2, which is equal to 42. Multiply through by 42: [Tex]\bold{42(\frac{4x}{7}) + 42(\frac{5}{6}) = 42(\frac{3}{2})} [/Tex] [Tex]\bold{24x+35=63}[/Tex] [Tex]\bold{24x=28}[/Tex] [Tex]\bold{x = \frac{28}{24} = \frac{7}{6}}[/Tex]

Example 3: Solve [Tex]\frac{2x}{3} + \frac{1}{4} = \frac{5}{6}[/Tex]

Find Least Common Denominator (LCD): The LCD of 3, 4, and 6 is 12 Multiply every term by 12: [Tex]12 \cdot \frac{2x}{3} + 12 \cdot \frac{1}{4} = 12 \cdot \frac{5}{6}[/Tex] Simplifies to: 8x + 3 = 10 Subtract 3 from both sides: 8x = 7 x = 7/8

Example 4: Solve [Tex]\frac{4x}{7} – \frac{3}{5} = \frac{1}{2}[/Tex]

LCD of 7 , 5, and 2 is 70. Multiply every term by 70 [Tex]70 \cdot \frac{4x}{7} – 70 \cdot \frac{3}{5} = 70 \cdot \frac{1}{2}[/Tex] Simplifies to: 40x – 42 = 35 Add 42 to both sides: 40x = 77 x = 77/40

Example 5: Solve [Tex]\frac{2x-3}{5} = \frac{4}{3}[/Tex] Solution:

Cross-Multiply: [Tex]3(2x-3) = 4 \cdot 5[/Tex] Simplifies to: 6x – 9 = 20 Add 9 to both sides 6x = 29 x = 29/6

Example 6: Solve [Tex]\frac{7x-1}{3} = \frac{2x+5}{4}[/Tex]

Cross-Multiply: [Tex]4(7x – 1) = 3(2x+5)[/Tex] Simplifies to: 28x – 4 = 6x + 15 Combine Like Terms: Subtract 6x from both sides: 22x – 4 = 15 Add 4 to both sides: 22x = 19 x = 19/22

Example 7: Solve [Tex]\frac{3x+2}{4} = \frac{5}{6}[/Tex]

Cross-Multiply: [Tex]6(3x + 2) = 5 \cdot 4[/Tex] Simplifies to: 18x + 12 = 20 Subtract 12 from both sides: 18x = 8 x = 8/18 = 4/9

Example 8: Solve [Tex]\frac{6x+1}{2} = \frac{3x-4}{4}[/Tex]

Cross-Multiply: [Tex]4(6x+1) = 2(3x-4)[/Tex] Simplifies to: 24x+4 = 6x-8 Combine Like Terms: Subtract 6x from both side: 18x+4 = -8 Subtract 4 from both sides: 18x = -12 x = -12/18 = -2/3

Example 9: Solve [Tex]\frac{3x-2}{5} = \frac{7}{3}[/Tex]

Cross-Multiply: [Tex]3(3x-2) = 7\cdot5[/Tex] Simplifies to: 9x-6 = 35 Add 6 to both sides: 9x = 41 x = 41/9

Example 10: Solve [Tex]\frac{4x+3}{2} = \frac{5x-1}{3}[/Tex]

Cross-Multiply: [Tex]3(4x + 3) = 2(5x – 1)[/Tex] Simplifies to: 12x + 9 = 10x -2 Combine Like Terms: Subtract 10x from both side : 2x + 9 = -11 Subtract 9 from both sides: 2x = -11 x = -11/2

Multi-Step Linear Equations with Fractions – Practice Problems

Problem 1: Solve: [Tex]\frac{5x-3}{7} = \frac{2x+4}{3}[/Tex]

Problem 2: Solve: [Tex]\frac{2x+1}{5} = \frac{x-3}{2}[/Tex]

Problem 3: Solve: [Tex]\frac{3x-2}{4} = \frac{x-3}{2}[/Tex]

Problem 4: Solve: [Tex]\frac{4x+3}{8} = \frac{5x-2}{7}[/Tex]

Problem 5: Solve: [Tex]\frac{7x-5}{9} = \frac{2x+6}{7}[/Tex]

Problem 6: Solve: [Tex]\frac{6x+2}{3} = \frac{4x-1}{5}[/Tex]

Problem 7:Solve: [Tex]\frac{5x-4}{6} = \frac{3x+2}{8}[/Tex]

Problem 8: Solve: [Tex]\frac{8x+1}{7} = \frac{2x-3}{5}[/Tex]

Problem 9: Solve: [Tex]\frac{9x-2}{4} = \frac{3x+5}{6}[/Tex]

Problem 10: Solve: [Tex]\frac{10x+3}{5} = \frac{4x-7}{9}[/Tex]

Understanding and applying the steps to solve these equations not only enhances your mathematical skills but also prepares you for practical problem-solving in numerous fields.

In this article, we’ve broken down the process into clear, manageable steps, highlighted common mistakes to avoid, and provided practical examples to demonstrate real-world applications. By practicing these methods and using the tips provided, you can approach multi-step linear equations with confidence and accuracy.

Simplifying Fractions Least Common Denominator (LCD) Solving Linear Equations Linear Equations in One Variable

Frequently Aksed Questions

Why is the use of solving linear equations.

Solving fractions simplifies the equation, making it easier to solve.

What is the Least Common Denominator (LCD)?

LCD is the smallest number that all denominators in the equation can divide into evenly.

What are Simple Fractions?

Simple fractions, often just called “fractions,” are a way of representing parts of a whole or a division of quantities.

What are Examples of Simple Fractions?

Various examples of simple fractions are: 1/2, 3/4, 7/10, etc.

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How Chain-of-Thought Reasoning Helps Neural Networks Compute

March 21, 2024

Writing out intermediate steps can make it easier to solve problems.

Nick Slater for Quanta Magazine

Introduction

Your grade school teacher probably didn’t show you how to add 20-digit numbers. But if you know how to add smaller numbers, all you need is paper and pencil and a bit of patience. Start with the ones place and work leftward step by step, and soon you’ll be stacking up quintillions with ease.

Problems like this are easy for humans, but only if we approach them in the right way. “How we humans solve these problems is not ‘stare at it and then write down the answer,’” said Eran Malach , a machine learning researcher at Harvard University. “We actually walk through the steps.”

That insight has inspired researchers studying the large language models that power chatbots like ChatGPT. While these systems might ace questions involving a few steps of arithmetic, they’ll often flub problems involving many steps, like calculating the sum of two large numbers. But in 2022, a team of Google researchers showed that asking language models to generate step-by-step solutions enabled the models to solve problems that had previously seemed beyond their reach. Their technique, called chain-of-thought prompting, soon became widespread, even as researchers struggled to understand what makes it work.

Now, several teams have explored the power of chain-of-thought reasoning by using techniques from an arcane branch of theoretical computer science called computational complexity theory. It’s the latest chapter in a line of research that uses complexity theory to study the intrinsic capabilities and limitations of language models. These efforts clarify where we should expect models to fail, and they might point toward new approaches to building them.

“They remove some of the magic,” said Dimitris Papailiopoulos , a machine learning researcher at the University of Wisconsin, Madison. “That’s a good thing.”

Training Transformers

Large language models are built around mathematical structures called artificial neural networks. The many “neurons” inside these networks perform simple mathematical operations on long strings of numbers representing individual words, transmuting each word that passes through the network into another. The details of this mathematical alchemy depend on another set of numbers called the network’s parameters, which quantify the strength of the connections between neurons.

To train a language model to produce coherent outputs, researchers typically start with a neural network whose parameters all have random values, and then feed it reams of data from around the internet. Each time the model sees a new block of text, it tries to predict each word in turn: It guesses the second word based on the first, the third based on the first two, and so on. It compares each prediction to the actual text, then tweaks its parameters to reduce the difference. Each tweak only changes the model’s predictions a tiny bit, but somehow their collective effect enables a model to respond coherently to inputs it has never seen.

Researchers have been training neural networks to process language for 20 years. But the work really took off in 2017, when researchers at Google introduced a new kind of network called a transformer.

“This was proposed seven years ago, which seems like prehistory,” said Pablo Barceló , a machine learning researcher at the Pontifical Catholic University of Chile.

What made transformers so transformative is that it’s easy to scale them up — to increase the number of parameters and the amount of training data — without making training prohibitively expensive. Before transformers, neural networks had at most a few hundred million parameters; today, the largest transformer-based models have more than a trillion. Much of the improvement in language-model performance over the past five years comes from simply scaling up.

Transformers made this possible by using special mathematical structures called attention heads, which give them a sort of bird’s-eye view of the text they’re reading. When a transformer reads a new block of text, its attention heads quickly scan the whole thing and identify relevant connections between words — perhaps noting that the fourth and eighth words are likely to be most useful for predicting the 10th. Then the attention heads pass words along to an enormous web of neurons called a feedforward network, which does the heavy number crunching needed to generate the predictions that help it learn.

Real transformers have multiple layers of attention heads separated by feedforward networks, and only spit out predictions after the last layer. But at each layer, the attention heads have already identified the most relevant context for each word, so the computationally intensive feedforward step can happen simultaneously for every word in the text. That speeds up the training process, making it possible to train transformers on increasingly large sets of data. Even more important, it allows researchers to spread the enormous computational load of training a massive neural network across many processors working in tandem.

To get the most out of massive data sets, “you have to make the models really large,” said David Chiang , a machine learning researcher at the University of Notre Dame. “It’s just not going to be practical to train them unless it’s parallelized.”

However, the parallel structure that makes it so easy to train transformers doesn’t help after training — at that point, there’s no need to predict words that already exist. During ordinary operation, transformers output one word at a time, tacking each output back onto the input before generating the next word, but they’re still stuck with an architecture optimized for parallel processing.

As transformer-based models grew and certain tasks continued to give them trouble, some researchers began to wonder whether the push toward more parallelizable models had come at a cost. Was there a way to understand the behavior of transformers theoretically?

The Complexity of Transformers

Theoretical studies of neural networks face many difficulties, especially when they try to account for training. Neural networks use a well-known procedure to tweak their parameters at each step of the training process. But it can be difficult to understand why this simple procedure converges on a good set of parameters.

Rather than consider what happens during training, some researchers study the intrinsic capabilities of transformers by imagining that it’s possible to adjust their parameters to any arbitrary values. This amounts to treating a transformer as a special type of programmable computer.

“You’ve got some computing device, and you want to know, ‘Well, what can it do? What kinds of functions can it compute?’” Chiang said.

These are the central questions in the formal study of computation. The field dates back to 1936, when Alan Turing first imagined a fanciful device , now called a Turing machine, that could perform any computation by reading and writing symbols on an infinite tape. Computational complexity theorists would later build on Turing’s work by proving that computational problems naturally fall into different complexity classes defined by the resources required to solve them.

In 2019, Barceló and two other researchers proved that an idealized version of a transformer with a fixed number of parameters could be just as powerful as a Turing machine. If you set up a transformer to repeatedly feed its output back in as an input and set the parameters to the appropriate values for the specific problem you want to solve, it will eventually spit out the correct answer.

That result was a starting point, but it relied on some unrealistic assumptions that would likely overestimate the power of transformers. In the years since, researchers have worked to develop more realistic theoretical frameworks.

One such effort began in 2021, when William Merrill , now a graduate student at New York University, was leaving a two-year fellowship at the Allen Institute for Artificial Intelligence in Seattle. While there, he’d analyzed other kinds of neural networks using techniques that seemed like a poor fit for transformers’ parallel architecture. Shortly before leaving, he struck up a conversation with the Allen Institute for AI researcher Ashish Sabharwal , who’d studied complexity theory before moving into AI research. They began to suspect that complexity theory might help them understand the limits of transformers.

“It just seemed like it’s a simple model; there must be some limitations that one can just nail down,” Sabharwal said.

The pair analyzed transformers using a branch of computational complexity theory, called circuit complexity, that is often used to study parallel computation and had recently been applied to simplified versions of transformers. Over the following year, they refined several of the unrealistic assumptions in previous work. To study how the parallel structure of transformers might limit their capabilities, the pair considered the case where transformers didn’t feed their output back into their input — instead, their first output would have to be the final answer. They proved that the transformers in this theoretical framework couldn’t solve any computational problems that lie outside a specific complexity class. And many math problems, including relatively simple ones like solving linear equations, are thought to lie outside this class.

Basically, they showed that parallelism did come at a cost — at least when transformers had to spit out an answer right away. “Transformers are quite weak if the way you use them is you give an input, and you just expect an immediate answer,” Merrill said.

Thought Experiments

Merrill and Sabharwal’s results raised a natural question — how much more powerful do transformers become when they’re allowed to recycle their outputs? Barceló and his co-authors had studied this case in their 2019 analysis of idealized transformers, but with more realistic assumptions the question remained open. And in the intervening years, researchers had discovered chain-of-thought prompting, giving the question a newfound relevance.

Merrill and Sabharwal knew that their purely mathematical approach couldn’t capture all aspects of chain-of-thought reasoning in real language models, where the wording in the prompt can be very important . But no matter how a prompt is phrased, as long as it causes a language model to output step-by-step solutions, the model can in principle reuse the results of intermediate steps on subsequent passes through the transformer. That could provide a way to evade the limits of parallel computation.

Meanwhile, a team from Peking University had been thinking along similar lines, and their preliminary results were positive. In a May 2023 paper, they identified some math problems that should be impossible for ordinary transformers in Merrill and Sabharwal’s framework, and showed that intermediate steps enabled the transformers to solve these problems.

In October, Merrill and Sabharwal followed up their earlier work with a detailed theoretical study of the computational power of chain of thought. They quantified how that extra computational power depends on the number of intermediate steps a transformer is allowed to use before it must spit out a final answer. In general, researchers expect the appropriate number of intermediate steps for solving any problem to depend on the size of the input to the problem. For example, the simplest strategy for adding two 20-digit numbers requires twice as many intermediate addition steps as the same approach to adding two 10-digit numbers.

Examples like this suggest that transformers wouldn’t gain much from using just a few intermediate steps. Indeed, Merrill and Sabharwal proved that chain of thought only really begins to help when the number of intermediate steps grows in proportion to the size of the input, and many problems require the number of intermediate steps to grow much larger still.

The thoroughness of the result impressed researchers. “They really pinned this down,” said Daniel Hsu , a machine learning researcher at Columbia University.

Merrill and Sabharwal’s recent work indicates that chain of thought isn’t a panacea — in principle, it can help transformers solve harder problems, but only at the cost of a lot of computational effort.

“We’re interested in different ways of getting around the limitations of transformers with one step,” Merrill said. “Chain of thought is one way, but this paper shows that it might not be the most economical way.”

Back to Reality

Still, researchers caution that this sort of theoretical analysis can only reveal so much about real language models. Positive results — proofs that transformers can in principle solve certain problems — don’t imply that a language model will actually learn those solutions during training.

And even results that address the limitations of transformers come with caveats: They indicate that no transformer can solve certain problems perfectly in all cases. Of course, that’s a pretty high bar. “There might be special cases of the problem that it could handle just fine,” Hsu said.

Despite these caveats, the new work offers a template for analyzing different kinds of neural network architectures that might eventually replace transformers. If a complexity theory analysis suggests that certain types of networks are more powerful than others, that would be evidence that those networks might fare better in the real world as well.

Chiang also stressed that research on the limitations of transformers is all the more valuable as language models are increasingly used in a wide range of real-world applications, making it easy to overestimate their abilities.

“There’s actually a lot of things that they don’t do that well, and we need to be very, very cognizant of what the limitations are,” Chiang said. “That’s why this kind of work is really important.”

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Solving and Graphing Multi Step Inequalities Differentiated Worksheets Algebra 1

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These no-prep solving and graphing multi-step inequalities worksheets include two differentiated and leveled versions. Students practice solving multi step inequalities and graphing the solution sets on number lines. These worksheets are perfect for your students no matter their level as the differentiation is already done for you!

This product (PDF) includes :

● Worksheet Version A - 12 easier problems

● Worksheet Version B - 12 harder problems

● Answer Keys for both versions

There a total of 24 different problems - 12 in version A and 12 in version B. Version A is the easier version that includes more straight forward and skills-based problems. Version B is the harder version that includes more problem solving and word problems.

You can use both versions at the same time to differentiate, or use one version now and save another one for later. In the product, I include several ideas on the best ways to use both versions!

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Google DeepMind AI becoming a math whiz

Alison Snyder
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Illustration of a cube and equations written on a chalkboard.

Illustration: Lindsey Bailey/Axios

Two AI systems from Google DeepMind together solved four of the six problems in this year's International Mathematical Olympiad — on par with silver medalists in the annual world math championship for high school students.

Why it matters: The ability to solve a range of math problems in step-by-step proofs is considered a "grand challenge" in machine learning and has been beyond the reach of current state-of-the-art AI systems.

"These are extremely hard mathematical problems and no AI system has ever achieved a high success rate in these types of problems," Pushmeet Kohli, vice president of research focused on AI for science at DeepMind, said in a press briefing.

How it works: AlphaProof teaches itself by trial-and-error — without human intervention — in what's known as reinforcement learning. The approach powered DeepMind's Go-mastering AlphaGo, Starcraft-crushing AlphaStar and other AI systems developed by the company.

The team first fine-tuned Google's Gemini model to translate 1 million mathematics problem statements from English into a programming language called Lean, Thomas Hubert, a research engineer at DeepMind, said in the briefing.
The problems, which ranged in difficulty, were then given to AlphaProof so it could generate potential solutions that it then checked against possible proof steps.
Those that worked are then fed back into the model, which then improves as it attempts more problems.

AlphaProof was able to solve three of this year's math Olympiad problems — two algebra problems and one in number theory.

One was solved in minutes and the others took up to three days. (Students have two 4.5 hour sessions to submit answers.)
It couldn't crack two combinatorics problems.

The other member of the AI team, AlphaGeometry 2, solved the competition's geometry problem in 19 seconds.

There is very little data available to train math-focused AI models, so the DeepMind team used synthetic data generated by AI itself to train AlphaGeometry 2.
The system can solve 83% of math Olympiad problems from the past 25 years compared to its predecessor that could solve 53%, the company said.

Overall, the AI systems scored 28 out of 42 possible points — putting them in silver-medal territory and one point shy of the gold-medal threshold, the company said.

At the competition last week, 58 of the 609 high school contestants from around the world were gold medalists.

What they're saying: Fields medalist Timothy Gowers, a mathematician at Collège de France, was one of the judges that checked the AI's work.

He said he was surprised that the AI was sometimes able to come up with clever ideas for solving the problems — what he called "a magic key."
"I find it very impressive and a significant jump from what was previously possible," Gowers said in the briefing, but he added further research is needed to analyze how the AI did it.

The big picture: At this point, the AI systems aren't adding to the body of mathematical knowledge that humans have created, said David Silver, DeepMind's vice president of reinforcement learning.

"We're at the point where these systems can actually prove not open research problems but at least problems that are very challenging to the very best young mathematicians in the world," he said.

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Finding a suitable solution for issues can be accomplished by following the basic four-step problem-solving process and methodology outlined below. Step. Characteristics. 1. Define the problem. Differentiate fact from opinion. Specify underlying causes. Consult each faction involved for information. State the problem specifically.
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The next step is to develop a strategy to solve the problem. The approach used will vary depending upon the situation and the individual's unique preferences. ... Common problem-solving strategies include heuristics and algorithms. Heuristics are mental shortcuts that are often based on solutions that have worked in the past. They can work well ...
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The problem-solving process typically includes the following steps: Identify the issue: Recognize the problem that needs to be solved. Analyze the situation: Examine the issue in depth, gather all relevant information, and consider any limitations or constraints that may be present. Generate potential solutions: Brainstorm a list of possible ...
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The process of problem-solving is a methodical approach that involves several distinct stages. Each stage plays a crucial role in navigating from the initial recognition of a problem to its final resolution. Let's explore each of these stages in detail. Step 1: Identifying the Problem. This is the foundational step in the problem-solving process.
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Discovery (fact-finding) Dream (visioning the future) Design (strategic purpose) Destiny (continuous improvement) 3. "FIVE WHYS" METHOD. The 5 Whys of Problem-Solving Method. This method simply suggests that we ask "Why" at least five times during our review of the problem and in search of a fix.
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Problem-solving is an important part of planning and decision-making. The process has much in common with the decision-making process, and in the case of complex decisions, can form part of the process itself. We face and solve problems every day, in a variety of guises and of differing complexity. Some, such as the resolution of a serious ...
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Problem-solving involves taking certain steps and using psychological strategies. Learn problem-solving techniques and how to overcome obstacles to solving problems. ... An algorithm is a step-by-step procedure that, by following certain "rules" produces a solution. Algorithms are commonly used in mathematics to solve division or multiplication ...
7 Steps to an Effective Problem-Solving Process
Step 6: Implement the Solution. Implementing the solution you decide on can include creating an implementation plan. It could also include planning on what happens next if something goes wrong with the solution if it doesn't work out the way you thought it would. Implementation means that everyone on your team knows and understands their part ...
10 Problem-solving strategies to turn challenges on their head
2. Break the problem down. Identifying the problem allows you to see which steps need to be taken to solve it. First, break the problem down into achievable blocks. Then, use strategic planning to set a time frame in which to solve the problem and establish a timeline for the completion of each stage. 3.
12 Approaches To Problem-Solving for Every Situation
Brainstorm options to solve the problem. Select an option. Create an implementation plan. Execute the plan and monitor the results. Evaluate the solution. Read more: Effective Problem Solving Steps in the Workplace. 2. Collaborative. This approach involves including multiple people in the problem-solving process.
The 5 Steps of Problem Solving
The implementation of a solution requires planning and execution. It's often iterative, where the focus should be on short implementation cycles with testing and feedback, not trying to get it "perfect" the first time. Input: decision; planning; hard work. Output: resolution to the problem. 5.
Solving Multi-Step Linear Equations with Fractions
Formula: If [Tex]\frac{a}{b} = \frac{c}{d},[/Tex] then ad = bc. Linear Equations with Fractions. Concept related to Linear equation with fractions is added below: Definition: Linear equations are mathematical statements of equality involving variables and constants.When fractions are included, these equations can be written in the form , where a,b, c,d, e are integers, and c and e are not zero.
KB5042421: CrowdStrike issue impacting Windows endpoints causing an
Important: We have released a USB tool to help automate this manual repair process.For more information, see New recovery tool to help with CrowdStrike issue impacting Windows devices.
Quanta Magazine
But in 2022, a team of Google researchers showed that asking language models to generate step-by-step solutions enabled the models to solve problems that had previously seemed beyond their reach. Their technique, called chain-of-thought prompting, soon became widespread, even as researchers struggled to understand what makes it work.
Solving and Graphing Multi Step Inequalities Differentiated ...
These no-prep solving and graphing multi-step inequalities worksheets include two differentiated and leveled versions.Students practice solving multi step inequalities and graphing the solution sets on number lines. These worksheets are perfect for your students no matter their level as the differentiation is already done for you!
'Sensational breakthrough' marks step toward revealing ...
'Sensational breakthrough' marks step toward revealing hidden structure of prime numbers ... but it represents the first progress in decades on a major knot in math's biggest unsolved problem, and it promises to spark new advances throughout number theory. ... services and special offers which may include but are not limited to news ...
Google DeepMind AI becoming a math whiz
Two AI systems from Google DeepMind together solved four of the six problems in this year's International Mathematical Olympiad — on par with silver medalists in the annual world math championship for high school students.. Why it matters: The ability to solve a range of math problems in step-by-step proofs is considered a "grand challenge" in machine learning and has been beyond the reach ...
A Step-by-Step Guide to Playing Sudoku on Times of India
TOI's Sudoku puzzles, available in the Games section, enhance logical thinking, problem-solving, memory, and cognitive skills. With 9x9 grids and 3x3 subgrids, they cater to all skill levels ...

What is Problem Solving? (Steps, Techniques, Examples)

What Is Problem Solving?

Problem-Solving Steps

Defining the Problem

Generating Solutions

Evaluating and Selecting Solutions

Implementing and Monitoring the Solution

Problem-Solving Techniques

Brainstorming

Root Cause Analysis

SWOT Analysis

Mind Mapping

Examples of Problem Solving in Various Contexts

40 problem-solving techniques and processes

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What is problem solving?

What is the seven step problem solving process?

1. Problem identification

2. Problem analysis and refinement

3. Solution generation

4. Solution development

5. Decision making and planning

6. Solution implementation

7. Solution evaluation

What does an effective problem solving process look like?

Complete problem-solving methods

Six Thinking Hats

Lightning Decision Jam

Problem Definition Process

The 5 Whys

Discovery & Action Dialogue (DAD)

Open space technology

Techniques to identify and analyze problems

Fishbone Analysis

Problem Tree

SWOT Analysis

Agreement-Certainty Matrix

The Journalistic Six

LEGO Challenge

What, So What, Now What?

Journalists

Problem-solving techniques for brainstorming solutions

Mindspin

The Creativity Dice

Idea and Concept Development

Problem-solving techniques for developing and refining solutions

Improved Solutions

Four Step Sketch

15% Solutions

Problem-solving techniques for making decisions and planning

How-Now-Wow Matrix

Impact and Effort Matrix

Problem-solving warm-up activities

Check-in / Check-out

Doodling Together

Show and Tell

Constellations

Draw a Tree

Closing activities for a problem-solving process

One Breath Feedback

Who What When Matrix

Response cards

Tips for effective problem solving

Clearly define the problem

Don’t jump to conclusions

Try different approaches

Don’t take it personally

Get the right people in the room

Create psychologically safe spaces for discussion

Document everything

Bring a facilitator

Develop your problem-solving skills

Design a great agenda

Save time and effort creating an effective problem solving process

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Guide: Problem Solving

What is Problem Solving?