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Different mathematical solving methods can affect how information is memorized

by University of Geneva

False memories revealing mathematical reasoning

The way we memorize information—a mathematical problem statement, for example—reveals the way we process it. A team from the University of Geneva (UNIGE), in collaboration with CY Cergy Paris University (CYU) and Bourgogne University (uB), has shown how different solving methods can alter the way information is memorized and even create false memories.

By identifying learners' unconscious deductions, this study opens up new perspectives for mathematics teaching. These results are published in the Journal of Experimental Psychology: Learning, Memory, and Cognition .

Remembering information goes through several stages: perception, encoding—the way it is processed to become an easily accessible memory trace—and retrieval (or reactivation). At each stage, errors can occur, sometimes leading to the formation of false memories .

Scientists from the UNIGE, CYU and Bourgogne University set out to determine whether solving arithmetic problems could generate such memories and whether they could be influenced by the nature of the problems.

Unconscious deductions create false memories

When solving a mathematical problem , it is possible to call upon either the ordinal property of numbers, i.e., the fact that they are ordered, or their cardinal property, i.e., the fact that they designate specific quantities. This can lead to different solving strategies and, when memorized, to different encoding.

In concrete terms, the representation of a problem involving the calculation of durations or differences in heights (ordinal problem) can sometimes allow unconscious deductions to be made, leading to a more direct solution. This is in contrast to the representation of a problem involving the calculation of weights or prices (cardinal problem), which can lead to additional steps in the reasoning, such as the intermediate calculation of subsets.

The scientists therefore hypothesized that, as a result of spontaneous deductions, participants would unconsciously modify their memories of ordinal problem statements, but not those of cardinal problems.

To test this, a total of 67 adults were asked to solve arithmetic problems of both types, and then to recall the wording in order to test their memories. The scientists found that in the majority of cases (83%), the statements were correctly recalled for cardinal problems.

In contrast, the results were different when the participants had to remember the wording of ordinal problems, such as: "Sophie's journey takes 8 hours. Her journey takes place during the day. When she arrives, the clock reads 11. Fred leaves at the same time as Sophie. Fred's journey is 2 hours shorter than Sophie's. What time does the clock show when Fred arrives?"

In more than half the cases, information deduced by the participants when solving these problems was added unintentionally to the statement. In the case of the problem mentioned above, for example, they could be convinced—wrongly—that they had read: "Fred arrived 2 hours before Sophie" (an inference made because Fred and Sophie left at the same time, but Fred's journey took 2 hours less, which is factually true but constitutes an alteration to what the statement indicated).

"We have shown that when solving specific problems, participants have the illusion of having read sentences that were never actually presented in the statements, but were linked to unconscious deductions made when reading the statements. They become confused in their minds with the sentences they actually read," explains Hippolyte Gros, former post-doctoral fellow at UNIGE's Faculty of Psychology and Educational Sciences, lecturer at CYU, and first author of the study.

Invoking memories to understand reasoning

In addition, the experiments showed that the participants with the false memories were only those who had discovered the shortest strategy, thus revealing their unconscious reasoning that had enabled them to find this resolution shortcut. On the other hand, the others, who had operated in more stages, were unable to "enrich" their memory because they had not carried out the corresponding reasoning.

"This work can have applications for learning mathematics. By asking students to recall statements, we can identify their mental representations and therefore the reasoning they used when solving the problem, based on the presence or absence of false memories in their restitution," explains Emmanuel Sander, full professor at the UNIGE's Faculty of Psychology and Educational Sciences, who directed this research.

It is difficult to access mental constructs directly. Doing so indirectly, by analyzing memorization processes, could lead to a better understanding of the difficulties encountered by students in solving problems, and provide avenues for intervention in the classroom.

Provided by University of Geneva

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briefly explain the statement of the problem in mathematics research

The Research Problem & Statement

What they are & how to write them (with examples)

By: Derek Jansen (MBA) | Expert Reviewed By: Eunice Rautenbach (DTech) | March 2023

If you’re new to academic research, you’re bound to encounter the concept of a “ research problem ” or “ problem statement ” fairly early in your learning journey. Having a good research problem is essential, as it provides a foundation for developing high-quality research, from relatively small research papers to a full-length PhD dissertations and theses.

In this post, we’ll unpack what a research problem is and how it’s related to a problem statement . We’ll also share some examples and provide a step-by-step process you can follow to identify and evaluate study-worthy research problems for your own project.

Overview: Research Problem 101

What is a research problem.

  • What is a problem statement?

Where do research problems come from?

  • How to find a suitable research problem
  • Key takeaways

A research problem is, at the simplest level, the core issue that a study will try to solve or (at least) examine. In other words, it’s an explicit declaration about the problem that your dissertation, thesis or research paper will address. More technically, it identifies the research gap that the study will attempt to fill (more on that later).

Let’s look at an example to make the research problem a little more tangible.

To justify a hypothetical study, you might argue that there’s currently a lack of research regarding the challenges experienced by first-generation college students when writing their dissertations [ PROBLEM ] . As a result, these students struggle to successfully complete their dissertations, leading to higher-than-average dropout rates [ CONSEQUENCE ]. Therefore, your study will aim to address this lack of research – i.e., this research problem [ SOLUTION ].

A research problem can be theoretical in nature, focusing on an area of academic research that is lacking in some way. Alternatively, a research problem can be more applied in nature, focused on finding a practical solution to an established problem within an industry or an organisation. In other words, theoretical research problems are motivated by the desire to grow the overall body of knowledge , while applied research problems are motivated by the need to find practical solutions to current real-world problems (such as the one in the example above).

As you can probably see, the research problem acts as the driving force behind any study , as it directly shapes the research aims, objectives and research questions , as well as the research approach. Therefore, it’s really important to develop a very clearly articulated research problem before you even start your research proposal . A vague research problem will lead to unfocused, potentially conflicting research aims, objectives and research questions .

Free Webinar: How To Find A Dissertation Research Topic

What is a research problem statement?

As the name suggests, a problem statement (within a research context, at least) is an explicit statement that clearly and concisely articulates the specific research problem your study will address. While your research problem can span over multiple paragraphs, your problem statement should be brief , ideally no longer than one paragraph . Importantly, it must clearly state what the problem is (whether theoretical or practical in nature) and how the study will address it.

Here’s an example of a statement of the problem in a research context:

Rural communities across Ghana lack access to clean water, leading to high rates of waterborne illnesses and infant mortality. Despite this, there is little research investigating the effectiveness of community-led water supply projects within the Ghanaian context. Therefore, this study aims to investigate the effectiveness of such projects in improving access to clean water and reducing rates of waterborne illnesses in these communities.

As you can see, this problem statement clearly and concisely identifies the issue that needs to be addressed (i.e., a lack of research regarding the effectiveness of community-led water supply projects) and the research question that the study aims to answer (i.e., are community-led water supply projects effective in reducing waterborne illnesses?), all within one short paragraph.

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briefly explain the statement of the problem in mathematics research

Wherever there is a lack of well-established and agreed-upon academic literature , there is an opportunity for research problems to arise, since there is a paucity of (credible) knowledge. In other words, research problems are derived from research gaps . These gaps can arise from various sources, including the emergence of new frontiers or new contexts, as well as disagreements within the existing research.

Let’s look at each of these scenarios:

New frontiers – new technologies, discoveries or breakthroughs can open up entirely new frontiers where there is very little existing research, thereby creating fresh research gaps. For example, as generative AI technology became accessible to the general public in 2023, the full implications and knock-on effects of this were (or perhaps, still are) largely unknown and therefore present multiple avenues for researchers to explore.

New contexts – very often, existing research tends to be concentrated on specific contexts and geographies. Therefore, even within well-studied fields, there is often a lack of research within niche contexts. For example, just because a study finds certain results within a western context doesn’t mean that it would necessarily find the same within an eastern context. If there’s reason to believe that results may vary across these geographies, a potential research gap emerges.

Disagreements – within many areas of existing research, there are (quite naturally) conflicting views between researchers, where each side presents strong points that pull in opposing directions. In such cases, it’s still somewhat uncertain as to which viewpoint (if any) is more accurate. As a result, there is room for further research in an attempt to “settle” the debate.

Of course, many other potential scenarios can give rise to research gaps, and consequently, research problems, but these common ones are a useful starting point. If you’re interested in research gaps, you can learn more here .

How to find a research problem

Given that research problems flow from research gaps , finding a strong research problem for your research project means that you’ll need to first identify a clear research gap. Below, we’ll present a four-step process to help you find and evaluate potential research problems.

If you’ve read our other articles about finding a research topic , you’ll find the process below very familiar as the research problem is the foundation of any study . In other words, finding a research problem is much the same as finding a research topic.

Step 1 – Identify your area of interest

Naturally, the starting point is to first identify a general area of interest . Chances are you already have something in mind, but if not, have a look at past dissertations and theses within your institution to get some inspiration. These present a goldmine of information as they’ll not only give you ideas for your own research, but they’ll also help you see exactly what the norms and expectations are for these types of projects.

At this stage, you don’t need to get super specific. The objective is simply to identify a couple of potential research areas that interest you. For example, if you’re undertaking research as part of a business degree, you may be interested in social media marketing strategies for small businesses, leadership strategies for multinational companies, etc.

Depending on the type of project you’re undertaking, there may also be restrictions or requirements regarding what topic areas you’re allowed to investigate, what type of methodology you can utilise, etc. So, be sure to first familiarise yourself with your institution’s specific requirements and keep these front of mind as you explore potential research ideas.

Step 2 – Review the literature and develop a shortlist

Once you’ve decided on an area that interests you, it’s time to sink your teeth into the literature . In other words, you’ll need to familiarise yourself with the existing research regarding your interest area. Google Scholar is a good starting point for this, as you can simply enter a few keywords and quickly get a feel for what’s out there. Keep an eye out for recent literature reviews and systematic review-type journal articles, as these will provide a good overview of the current state of research.

At this stage, you don’t need to read every journal article from start to finish . A good strategy is to pay attention to the abstract, intro and conclusion , as together these provide a snapshot of the key takeaways. As you work your way through the literature, keep an eye out for what’s missing – in other words, what questions does the current research not answer adequately (or at all)? Importantly, pay attention to the section titled “ further research is needed ”, typically found towards the very end of each journal article. This section will specifically outline potential research gaps that you can explore, based on the current state of knowledge (provided the article you’re looking at is recent).

Take the time to engage with the literature and develop a big-picture understanding of the current state of knowledge. Reviewing the literature takes time and is an iterative process , but it’s an essential part of the research process, so don’t cut corners at this stage.

As you work through the review process, take note of any potential research gaps that are of interest to you. From there, develop a shortlist of potential research gaps (and resultant research problems) – ideally 3 – 5 options that interest you.

The relationship between the research problem and research gap

Step 3 – Evaluate your potential options

Once you’ve developed your shortlist, you’ll need to evaluate your options to identify a winner. There are many potential evaluation criteria that you can use, but we’ll outline three common ones here: value, practicality and personal appeal.

Value – a good research problem needs to create value when successfully addressed. Ask yourself:

  • Who will this study benefit (e.g., practitioners, researchers, academia)?
  • How will it benefit them specifically?
  • How much will it benefit them?

Practicality – a good research problem needs to be manageable in light of your resources. Ask yourself:

  • What data will I need access to?
  • What knowledge and skills will I need to undertake the analysis?
  • What equipment or software will I need to process and/or analyse the data?
  • How much time will I need?
  • What costs might I incur?

Personal appeal – a research project is a commitment, so the research problem that you choose needs to be genuinely attractive and interesting to you. Ask yourself:

  • How appealing is the prospect of solving this research problem (on a scale of 1 – 10)?
  • Why, specifically, is it attractive (or unattractive) to me?
  • Does the research align with my longer-term goals (e.g., career goals, educational path, etc)?

Depending on how many potential options you have, you may want to consider creating a spreadsheet where you numerically rate each of the options in terms of these criteria. Remember to also include any criteria specified by your institution . From there, tally up the numbers and pick a winner.

Step 4 – Craft your problem statement

Once you’ve selected your research problem, the final step is to craft a problem statement. Remember, your problem statement needs to be a concise outline of what the core issue is and how your study will address it. Aim to fit this within one paragraph – don’t waffle on. Have a look at the problem statement example we mentioned earlier if you need some inspiration.

Key Takeaways

We’ve covered a lot of ground. Let’s do a quick recap of the key takeaways:

  • A research problem is an explanation of the issue that your study will try to solve. This explanation needs to highlight the problem , the consequence and the solution or response.
  • A problem statement is a clear and concise summary of the research problem , typically contained within one paragraph.
  • Research problems emerge from research gaps , which themselves can emerge from multiple potential sources, including new frontiers, new contexts or disagreements within the existing literature.
  • To find a research problem, you need to first identify your area of interest , then review the literature and develop a shortlist, after which you’ll evaluate your options, select a winner and craft a problem statement .

briefly explain the statement of the problem in mathematics research

Psst... there’s more!

This post was based on one of our popular Research Bootcamps . If you're working on a research project, you'll definitely want to check this out ...

Mahmood Abdulrahman Chiroma

I APPRECIATE YOUR CONCISE AND MIND-CAPTIVATING INSIGHTS ON THE STATEMENT OF PROBLEMS. PLEASE I STILL NEED SOME SAMPLES RELATED TO SUICIDES.

Poonam

Very pleased and appreciate clear information.

Tabatha Cotto

Your videos and information have been a life saver for me throughout my dissertation journey. I wish I’d discovered them sooner. Thank you!

Esther Yateesa

Very interesting. Thank you. Please I need a PhD topic in climate change in relation to health.

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How to Write a Problem Statement for a Research Paper?

briefly explain the statement of the problem in mathematics research

What is a problem statement in research, and why is it crucial? A research problem statement is a clear and precise declaration that identifies the issue or challenge your study aims to tackle. It needs to be understandable to both experts and non-experts alike. You can ensure your statement is effective by basing it on established knowledge and avoiding unsupported claims. This way, you can create a solid foundation for your research.

Okay, we answered what is a problem statement, but why is grounding your statement in a literature review important? A thorough review of existing studies not only provides context but also connects your research to the broader scientific community. This approach helps ensure that your problem statement is both relevant and meaningful, guiding your empirical investigation with a strong, evidence-based foundation.

To effectively write a research problem statement, follow these steps:

  • Begin by pinpointing the broad field or subject area that captures your interest.
  • Narrow down this general area to a particular issue or challenge that needs attention.
  • Provide context by explaining why the problem is important and what gap in current knowledge it addresses.
  • Articulate the problem in a clear, succinct manner, ensuring that the language is accessible to your target audience.
  • Write in an unbiased and neutral tone, steering clear of subjective language and personal opinions.

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How to Write a Problem Statement in Specific Situations

Now, let our online essay writer service address how to write a problem statement for a research paper tailored to different research contexts.

Academic Research

In academic research, a problem statement is written after conducting a preliminary literature review. This initial review helps you identify gaps in current knowledge and frame your problem within the context of existing studies. The problem statement should then clearly articulate the specific issue you intend to investigate, its significance, and how your research will contribute to the field.

  • Preliminary Literature Review : Identify gaps or inconsistencies in existing research.
  • Define the Problem : State the issue clearly, based on the literature review.
  • Significance : Explain why the problem matters and what new insights your research will provide.

Business and Management

In business and management contexts, problem statements often address practical issues that impact organizational performance or strategy. These statements are usually formulated after identifying a specific challenge or inefficiency within the company.

  • Identify a Challenge : Pinpoint a specific problem affecting the organization.
  • Gather Data : Collect relevant data to understand the problem's scope and impact.
  • State the Problem : Clearly describe the issue, focusing on its business implications.
  • Propose Objectives : Outline the goals of your research or proposed solutions.

Social and Policy Research

For social and policy research, problem statements focus on societal issues or policy gaps. These statements should highlight the broader implications of the problem and the potential impact of the research findings on policy or society.

  • Identify a Social Issue : Choose a relevant social or policy issue that needs investigation.
  • Contextualize : Provide background information to frame the issue within a larger societal context.
  • Define the Problem : Clearly state the issue and its implications for society or policy.
  • Significance : Explain how addressing the problem can lead to social or policy improvements.

What is Included in a Problem Statement

What is Included in a Problem Statement

A comprehensive problem statement does more than just identify a gap in understanding or a lack of essential data. It also explains the importance of addressing this gap. Here are key components to include:

🕵️‍♂️Identification of the Gap Clearly articulate the specific gap in knowledge or data that your research will address.
💡Significance of the Gap Explain why this gap matters. How will filling this gap contribute to the existing body of knowledge in your field?
📚Contribution to Knowledge Discuss how your research will enhance or expand current understanding. Why is your research important?
🔍Multiple Solutions Acknowledge that there may be multiple solutions to the problem. Emphasize the need for further research to explore these potential solutions.
🎯Research Objectives Once you have identified the problem and the necessity for a solution or further study, outline how you plan to collect and present the needed data.

Step 1. Contextualize the Problem

To effectively understand how to write a problem statement for a research paper, you should first contextualize the problem and start by offering background information that sets the stage for your research. This involves presenting the broader area of study and then narrowing it down to the specific issue you will address. By doing so, you help your audience understand the environment in which the problem exists.

Example: If your research focuses on the impact of financial literacy programs on small business owners' ability to secure loans, begin with an overview of the importance of financial literacy in business. Discuss how small businesses contribute to the economy and summarize previous studies on financial literacy's general effects on business success. This context helps to frame your specific research question within the larger discourse.

Detailed Steps:

  • Introduce the General Area : Begin with a broad discussion of the field.
  • Highlight Key Issues : Identify major themes or problems in the field.
  • Narrow Down : Focus on the specific issue your research will address.

Step 2. Establish the Study's Significance

After setting the context, it's crucial to explain why your research is significant. This involves articulating the importance of the problem statement and how your research will contribute to the field. Here, you answer questions like: Why does this problem matter? Who will benefit from the findings?

Example: Continuing with the financial literacy example, explain why understanding its impact on small business owners' ability to secure loans is crucial. Highlight the potential consequences of poor financial literacy, such as higher loan rejection rates, increased financial instability, and business failures. Emphasize how your research could inform policymakers, financial institutions, and educational program designers, leading to more effective financial literacy programs and better support for small businesses.

  • Highlight the Gap : Clearly state what is missing in current research.
  • Discuss Implications : Explain the broader impact of addressing this gap.
  • Identify Beneficiaries : Point out who will benefit from your research findings.

Step 3. Set Your Objectives

Your statement should conclude with clear research aims and objectives. This section outlines what you intend to achieve and the steps you will take to address the problem. Be specific about your research goals and the methods you will use to accomplish them.

Example: For the financial literacy and loan acquisition study, your aims might include evaluating the current financial literacy levels among small business owners, examining the correlation between financial literacy and loan approval rates, and assessing the effectiveness of existing financial literacy programs. Your objectives could be to conduct surveys of small business owners, analyze loan application data, and develop recommendations for improving financial literacy programs based on your findings.

  • State Your Aims : Clearly articulate the primary goals of your research.
  • Outline Your Objectives : Break down the aims into specific, actionable objectives.
  • Describe Your Methods : Briefly mention the research methods you will use to achieve these objectives.

Problem Statement Example

Here, we prepared two research problem statement examples that can serve as unique templates for developing your own statement.

Characteristics of a Research Problem Statement

According to Kerlinger, a good problem statement asks what relationship exists between two or more variables. When learning how to write a problem statement, make sure it has the following characteristics:

Characteristics of a Research Problem Statement

🎯Focus on a Single Issue Concentrate on one problem at a time to keep the research focused and avoid confusion. For example, study how changes in tax policies affect investments in small businesses, rather than looking at broader economic issues.
🚫No Blaming Present the problem objectively without pointing fingers. For instance, say, "There is a decrease in water quality in our local river," instead of blaming local industries for polluting the river.
🤔Avoid Specific Solutions Identify the problem without suggesting specific fixes. For example, instead of recommending "Raising the minimum wage," discuss how income inequality is growing among low-wage workers, leaving room for different solutions to be considered.
🔍Defined by Behaviors and Conditions Describe the problem in terms of observable actions or measurable situations. For example, "High school dropout rates in our district have risen by 20% in the past five years," highlights a specific issue impacting the community.
📏Specific and Measurable Clearly define the problem using precise terms that allow for measurement and evaluation. For instance, stating, "Customer satisfaction scores have dropped by 15% in the last quarter," provides a measurable metric to assess the problem.
📣Reflects Community Concerns Incorporate feedback from community surveys or consultations into the problem statement. For example, stating, "Residents are worried about the lack of affordable housing options," reflects local priorities and concerns.

Writing a clear problem statement helps you pinpoint the exact issue, explain why it matters, and set specific goals. Whether you're looking into social issues or business problems, a well-defined statement directs your study toward valuable insights and solutions. If you ever need expert research proposal help , remember that together, we can transform your ideas into impactful studies that drive positive change!

Scratching Your Head Over Problem Statements?

Don't overcomplicate it - let our experts show you how it's done right!

What is a Problem Statement in Research?

How to write a problem statement, how do you structure a good problem statement.

Daniel Parker

Daniel Parker

is a seasoned educational writer focusing on scholarship guidance, research papers, and various forms of academic essays including reflective and narrative essays. His expertise also extends to detailed case studies. A scholar with a background in English Literature and Education, Daniel’s work on EssayPro blog aims to support students in achieving academic excellence and securing scholarships. His hobbies include reading classic literature and participating in academic forums.

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is an expert in nursing and healthcare, with a strong background in history, law, and literature. Holding advanced degrees in nursing and public health, his analytical approach and comprehensive knowledge help students navigate complex topics. On EssayPro blog, Adam provides insightful articles on everything from historical analysis to the intricacies of healthcare policies. In his downtime, he enjoys historical documentaries and volunteering at local clinics.

  • Rupam. (n.d.). Research Problem and its Characteristics . https://www.tpscollegepatna.org/admin-panel/image/content/Research%20Problem%20and%20its%20Characteristics.pdf
  • Characteristics of a Quality Problem Statement . (n.d.). https://static1.squarespace.com/static/57e9e21f2e69cf4b7cee5ba0/t/5935d3e003596eebfc6b0463/1496699873373/Characteristics+of+a+Quality+Problem+Statement+%281%29.pdf

How to Write a Music Essay: Topics and Examples

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How to Write a Problem Statement in Research with Examples

briefly explain the statement of the problem in mathematics research

What is a Research Problem Statement?

A research problem statement is a concise statement describing the problem or issue addressed by the research study. The research problem should be composed in a way that both experts and non-experts in the field can understand.

Every research paper describes the investigation of a problem: by adding knowledge to the existing literature, revisiting known observations, or finding concrete solutions. What contribution your publication makes to your field or the scientific community at large depends on whether your research is “basic” (i.e., mainly interested in providing further knowledge that researchers can later apply to specific problems) or “applied” (i.e., developing new techniques, processes, and products).

In any case, a research proposal or research paper must clearly identify and describe the “problem” that is being investigated, so that the reader understands where the research comes from, why the study is relevant, if the applied methods are appropriate, and if the presented results are valid and answer the stated questions. This is known as the “statement of the problem.”

Table of Contents:

  • What is a Research Problem?

How to Write a Problem Statement in a Research Paper

  • Statement of the Problem Example 
  • Where Does the Problem Statement Go in Your Paper?

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Understanding how to write a research problem.

Your research problem defines the gap in existing knowledge you want to address (e.g., global warming causes), an issue with a certain process (e.g., voter registration) or practices (e.g., patient treatment) that is known and well documented and needs a solution, or some surprising phenomena or earlier findings that point to the need for further investigation. Your approach can be theoretical or practical, and the specific type of problem you choose to address depends on the type of research you want to do. 

In any case, your paper should not repeat what other studies have already said. It also should not ask a question that is too broad in scope to be answered within your study, nor should it be so vague that your reader cannot grasp your motivation or focus. To avoid such problems, you need to clearly define your research question, put it into context, and emphasize its significance for your field of research, the wider research community, or even the general public.

When including your statement of the research problem, several key factors must be considered in order to make a statement that is clear, concise, relevant, and convincing to readers. Think about the following elements not as “steps” to writing your problem statement, but as necessary conditions on which your statement can be firmly grounded and stand out.

Provide context for your study

Putting your research problem in context means providing the reader with the background information they need to understand why you want to study or solve this particular problem and why it is relevant. If there have been earlier attempts at solving the problem or solutions that are available but seem imperfect and need improvement, include that information here.

If you are doing applied research, this part of the problem statement (or “research statement”) should tell the reader where a certain problem arises and who is affected by it. In basic or theoretical research, you make a review of relevant literature on the topic that forms the basis for the current work and tells the reader where your study fits in and what gap in existing knowledge you are addressing.

Establish the relevance of this research

The problem statement also needs to clearly state why the current research matters, or why future work matters if you are writing a research proposal. Ask yourself (and tell your readers) what will happen if the problem continues and who will feel the consequences the most. If the solution you search for or propose in your study has wider relevance outside the context of the subjects you have studied, then this also needs to be included here. In basic research, the advancement of knowledge does not always have clear practical consequences—but you should clearly explain to the reader how the insights your study offers fit into the bigger picture, and what potential future research they could inspire.

Define specific aims and Objectives

Now that the reader knows the context of your research and why it matters, briefly introduce the design and the methods you used or are planning to use. While describing these, you should also formulate your precise aims more clearly, and thereby bring every element in your paper together so that the reader can judge for themselves if they (a) understand the rationale behind your study and (b) are convinced by your approach.

This last part could maybe be considered the actual “statement of the problem” of your study, but you need to prepare the reader by providing all the necessary details before you state it explicitly. If the background literature you cite is too broad and the problem you introduced earlier seems a bit vague, then the reader will have trouble understanding how you came up with the specific experiments you suddenly describe here. Make sure your readers can follow the logical structure of your presentation and that no important details are left out.   

Research Problem Statement Example

The following is a sample statement of the problem for a practical research study on the challenges of online learning. Note that your statement might be much longer (especially the context section where you need to explain the background of the study) and that you will need to provide sources for all the claims you make and the earlier literature you cite. You will also not include the headers “context”, “relevance” and “aims and objectives” but simply present these parts as different paragraphs. But if your problem statement follows this structure, you should have no problem convincing the reader of the significance of your work.

Providing context: Since the beginning of the Covid pandemic, most educational institutions around the world have transitioned to a fully online study model, at least during peak times of infections and social distancing measures. This transition has not been easy and even two years into the pandemic, problems with online teaching and studying persist (reference needed) . While the increasing gap between those with access to technology and equipment and those without access has been determined to be one of the main challenges (reference needed) , others claim that online learning offers more opportunities for many students by breaking down barriers of location and distance (reference needed) .  

Establishing relevance: Since teachers and students cannot wait for circumstances to go back to normal, the measures that schools and universities have implemented during the last two years, their advantages and disadvantages, and the impact of those measures on students’ progress, satisfaction, and well-being need to be understood so that improvements can be made and demographics that have been left behind can receive the support they need as soon as possible.

Defining aims and objectives: To identify what changes in the learning environment were considered the most challenging and how those changes relate to a variety of student outcome measures, we conducted surveys and interviews among teachers and students at ten institutions of higher education in four different major cities, two in the US (New York and Chicago), one in South Korea (Seoul), and one in the UK (London). Responses were analyzed with a focus on different student demographics and how they might have been affected differently by the current situation.

Where Does the Problem Statement Go in Your Paper? 

If you write a statement of the problem for a research proposal, then you could include it as a separate section at the very beginning of the main text (unless you are given a specific different structure or different headings, however, then you will have to adapt to that). If your problem statement is part of a research paper manuscript for publication in an academic journal, then it more or less constitutes your introduction section , with the context/background being the literature review that you need to provide here.

If you write the introduction section after the other parts of your paper, then make sure that the specific research question and approach you describe here are in line with the information provided in the research paper abstract , and that all questions you raise here are answered at the end of the discussion section —as always, consistency is key. Knowing where to put the research question can depend on several important contextual factors.

Receive instant editing with Wordvice AI, our automated AI Grammar Checker . Then hand over your manuscript or paper to a professional English editing service for paper editing , thesis editing , or other academic editing services .

And if you need advice on how to write the other parts of your research paper , on how to make a research paper outline if you are struggling with putting everything you did together, or on how to come up with a good research question in case you are not even sure where to start, then head over to the Wordvice academic resources website where we have a lot more articles and videos for you.

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How to Write an Effective Problem Statement for Your Research Paper

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Table of Contents

The problem statement usually appears at the beginning of an article, making it one of the first things readers encounter. An excellent problem statement not only explains the relevance and importance of the research but also helps readers quickly determine if the article aligns with their interests by clearly defining the topic. Therefore, the problem statement plays a unique role in the widespread dissemination of the paper and enhancing the researcher’s academic influence.  

In this article, we will focus on writing ideas, structure, and practical examples of the problem statement, helping researchers easily write an excellent problem statement.  

Basic Writing Strategies for the Problem Statement  

The problem statement aims to highlight the pressing issue the research intends to address. It should be concise and to the point. Researchers can follow a two-step approach: first, think about the content of the problem statement, and then organize the writing framework.  

Before writing, clarify the following points¹ :  

  • What is the reader’s level of understanding of the research topic?  
  • How can the significance of the research be effectively conveyed to the reader?  

After addressing these two questions, you can organize the content according to the following structure:  

  • Clarify what you aim to achieve with your research.  
  • Explore why the problem exists and explain how solving it helps reach the goal.  
  • Outline the potential impact of the research, such as possible outcomes, challenges, and benefits.  
  • Recommend a plan for your experiment that follows the rules of science.  
  • Explain the potential consequences if the problem is not resolved (if applicable).  

Three Important Parts of the Problem Statement  

The content and length of the problem statement can vary depending on the type of research. Although there’s no fixed format, it’s helpful to include these three key parts:  

  Research Background:  

Explain clearly what problem your research focuses on. Describe how things would be better if this problem didn’t exist. Also, talk about what other researchers have tried to do about this problem and what still needs to be figured out.  

  Research Significance:  

Clarify the impact of the problem on the research field and society, and analyze the cause of the problem. Explain who will benefit from solving the problem, thus demonstrating the relevance of the research and its contribution to the existing research system.²  To illustrate the relevance, consider aspects such as the geographical location or process where the problem occurs, the time period during which it exists, and the severity of the problem.  

Solution:  

Describe the research objective and the expected solution or results.  

Understanding the Writing Method Through Examples  

To further explore the writing method of the problem statement, let’s look at the following case.  

Research Topic: 

The benefits of vitamin D supplementation on the immune system.  

Problem Statement: 

  • Review existing research on the role of vitamin D in the immune system, emphasizing the potential impacts of vitamin D deficiency on the human body.  
  • List the obstacles encountered when trying to increase vitamin D levels in the body through supplements, and briefly mention the physiological or molecular mechanisms behind these obstacles.  
  • Clarify feasible ways to overcome these obstacles, such as new methods to promote the absorption of vitamin D in the intestine. Then, focus on the benefits of these methods, such as helping postmenopausal women with breast cancer improve their blood vitamin D levels.   

Points to Note: 

When crafting your problem statement, focus on essential details and avoid unnecessary information. Additionally, absolute terms such as “must” should be avoided.  

( The examples in this article are used only to illustrate writing points, and the academic views contained therein are not for reference. )  

By mastering these techniques and methods, you can enhance the clarity and impact of their problem statements. This not only makes the articles more engaging for reviewers and readers but also increases the likelihood of broader dissemination.  

For efficient and professional assistance, consider reaching out to Elsevier Language Services. Our team of expert editors, who are native English speakers across various disciplines, can help refine every aspect of your article, including the problem statement. Our goal is to ensure your research achieves efficient publication and has wide-reaching impact, supporting your academic journey in the long term.  

Type in wordcount for Plus Total: USD EUR JPY Follow this link if your manuscript is longer than 9,000 words. Upload

References:  

  • SURF Workshop Resources: Problem Statements – Purdue OWL® – Purdue University. (n.d.). https://owl.purdue.edu/owl/subject_specific_writing/writing_in_the_purdue_surf_program/surf_workshop_resources_problem_statements/index.html
  • Problem Statement | A practical guide to delivering results. (n.d.). Copyright (C)2024 a Practical Guide to Delivering Results. All Rights Reserved. https://deliveringresults.leeds.ac.uk/delivering-results-lifecycle/problem-statement/

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  • Writing Strong Research Questions | Criteria & Examples

Writing Strong Research Questions | Criteria & Examples

Published on October 26, 2022 by Shona McCombes . Revised on November 21, 2023.

A research question pinpoints exactly what you want to find out in your work. A good research question is essential to guide your research paper , dissertation , or thesis .

All research questions should be:

  • Focused on a single problem or issue
  • Researchable using primary and/or secondary sources
  • Feasible to answer within the timeframe and practical constraints
  • Specific enough to answer thoroughly
  • Complex enough to develop the answer over the space of a paper or thesis
  • Relevant to your field of study and/or society more broadly

Writing Strong Research Questions

Table of contents

How to write a research question, what makes a strong research question, using sub-questions to strengthen your main research question, research questions quiz, other interesting articles, frequently asked questions about research questions.

You can follow these steps to develop a strong research question:

  • Choose your topic
  • Do some preliminary reading about the current state of the field
  • Narrow your focus to a specific niche
  • Identify the research problem that you will address

The way you frame your question depends on what your research aims to achieve. The table below shows some examples of how you might formulate questions for different purposes.

Research question formulations
Describing and exploring
Explaining and testing
Evaluating and acting is X

Using your research problem to develop your research question

Example research problem Example research question(s)
Teachers at the school do not have the skills to recognize or properly guide gifted children in the classroom. What practical techniques can teachers use to better identify and guide gifted children?
Young people increasingly engage in the “gig economy,” rather than traditional full-time employment. However, it is unclear why they choose to do so. What are the main factors influencing young people’s decisions to engage in the gig economy?

Note that while most research questions can be answered with various types of research , the way you frame your question should help determine your choices.

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Research questions anchor your whole project, so it’s important to spend some time refining them. The criteria below can help you evaluate the strength of your research question.

Focused and researchable

Criteria Explanation
Focused on a single topic Your central research question should work together with your research problem to keep your work focused. If you have multiple questions, they should all clearly tie back to your central aim.
Answerable using Your question must be answerable using and/or , or by reading scholarly sources on the to develop your argument. If such data is impossible to access, you likely need to rethink your question.
Not based on value judgements Avoid subjective words like , , and . These do not give clear criteria for answering the question.

Feasible and specific

Criteria Explanation
Answerable within practical constraints Make sure you have enough time and resources to do all research required to answer your question. If it seems you will not be able to gain access to the data you need, consider narrowing down your question to be more specific.
Uses specific, well-defined concepts All the terms you use in the research question should have clear meanings. Avoid vague language, jargon, and too-broad ideas.

Does not demand a conclusive solution, policy, or course of action Research is about informing, not instructing. Even if your project is focused on a practical problem, it should aim to improve understanding rather than demand a ready-made solution.

If ready-made solutions are necessary, consider conducting instead. Action research is a research method that aims to simultaneously investigate an issue as it is solved. In other words, as its name suggests, action research conducts research and takes action at the same time.

Complex and arguable

Criteria Explanation
Cannot be answered with or Closed-ended, / questions are too simple to work as good research questions—they don’t provide enough for robust investigation and discussion.

Cannot be answered with easily-found facts If you can answer the question through a single Google search, book, or article, it is probably not complex enough. A good research question requires original data, synthesis of multiple sources, and original interpretation and argumentation prior to providing an answer.

Relevant and original

Criteria Explanation
Addresses a relevant problem Your research question should be developed based on initial reading around your . It should focus on addressing a problem or gap in the existing knowledge in your field or discipline.
Contributes to a timely social or academic debate The question should aim to contribute to an existing and current debate in your field or in society at large. It should produce knowledge that future researchers or practitioners can later build on.
Has not already been answered You don’t have to ask something that nobody has ever thought of before, but your question should have some aspect of originality. For example, you can focus on a specific location, or explore a new angle.

Chances are that your main research question likely can’t be answered all at once. That’s why sub-questions are important: they allow you to answer your main question in a step-by-step manner.

Good sub-questions should be:

  • Less complex than the main question
  • Focused only on 1 type of research
  • Presented in a logical order

Here are a few examples of descriptive and framing questions:

  • Descriptive: According to current government arguments, how should a European bank tax be implemented?
  • Descriptive: Which countries have a bank tax/levy on financial transactions?
  • Framing: How should a bank tax/levy on financial transactions look at a European level?

Keep in mind that sub-questions are by no means mandatory. They should only be asked if you need the findings to answer your main question. If your main question is simple enough to stand on its own, it’s okay to skip the sub-question part. As a rule of thumb, the more complex your subject, the more sub-questions you’ll need.

Try to limit yourself to 4 or 5 sub-questions, maximum. If you feel you need more than this, it may be indication that your main research question is not sufficiently specific. In this case, it’s is better to revisit your problem statement and try to tighten your main question up.

If you want to know more about the research process , methodology , research bias , or statistics , make sure to check out some of our other articles with explanations and examples.

Methodology

  • Sampling methods
  • Simple random sampling
  • Stratified sampling
  • Cluster sampling
  • Likert scales
  • Reproducibility

 Statistics

  • Null hypothesis
  • Statistical power
  • Probability distribution
  • Effect size
  • Poisson distribution

Research bias

  • Optimism bias
  • Cognitive bias
  • Implicit bias
  • Hawthorne effect
  • Anchoring bias
  • Explicit bias

The way you present your research problem in your introduction varies depending on the nature of your research paper . A research paper that presents a sustained argument will usually encapsulate this argument in a thesis statement .

A research paper designed to present the results of empirical research tends to present a research question that it seeks to answer. It may also include a hypothesis —a prediction that will be confirmed or disproved by your research.

As you cannot possibly read every source related to your topic, it’s important to evaluate sources to assess their relevance. Use preliminary evaluation to determine whether a source is worth examining in more depth.

This involves:

  • Reading abstracts , prefaces, introductions , and conclusions
  • Looking at the table of contents to determine the scope of the work
  • Consulting the index for key terms or the names of important scholars

A research hypothesis is your proposed answer to your research question. The research hypothesis usually includes an explanation (“ x affects y because …”).

A statistical hypothesis, on the other hand, is a mathematical statement about a population parameter. Statistical hypotheses always come in pairs: the null and alternative hypotheses . In a well-designed study , the statistical hypotheses correspond logically to the research hypothesis.

Writing Strong Research Questions

Formulating a main research question can be a difficult task. Overall, your question should contribute to solving the problem that you have defined in your problem statement .

However, it should also fulfill criteria in three main areas:

  • Researchability
  • Feasibility and specificity
  • Relevance and originality

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Problem Statement

Published November 22, 2021. Updated December 13, 2021.

How to write an effective problem statement

A problem statement is a succinct explanation of a problem or concern that a research study seeks to address. It identifies both the current and the desired state of a process or a product and the gap between them, i.e. it highlights the gaps in the current knowledge base and why they need to be addressed.

A problem statement acts as a communication tool among the people working on a study. It helps them identify a problem and its import to the field of study, and gives a direction for how to solve it. A problem statement aims to offer an elaborate method for problem solving and provides recommendations on how the problem can be prevented in the future.

When to write a problem statement

Problem statements are commonly associated with academic research. A researcher can contextualize and understand the consequences of a research problem by writing a problem statement. It can serve as a basis for a research proposal, an introduction to a research paper, or a thesis.

Problem statements have also become a tool in business proposals. They help professionals break down a complex problem into small achievable goals that can be communicated throughout an organization.  A problem statement can be useful in finding and employing effective solutions to a problem.

How to write a problem statement

Once a research problem has been identified, the next step is to write a problem statement. A problem statement should be clear and accurate. This can be achieved by providing a brief description of the extent of the problem and the resources required for solving the problem. An outline for writing problem statements is given below:

Step 1: Provide context to the problem

This step helps in presenting a clear picture of the problem. While giving a background of the problem, it helps to understand the reach and urgency of the issue. This step should address:

  • What is known about the issue
  • Where and when does the problem take place
  • Who is affected by the problem
  • What has been done to solve the problem

Step 2: Elucidate the relevance of the problem

This section explains the problem and identifies why it is important to solve it. It helps to communicate the seriousness of the problem and the potential issues that may arise if the problem remains unresolved. This step should address:

  • Who will be affected by the problem
  • How will problem solving benefit the future
  • Does the problem have relevance in other fields of study
  • Why is it important to solve the problem

Step 3: Propose the aims and objectives of the study

After investigating the problem thoroughly, the next step is to propose how the problem can be addressed. While it is not necessary to identify a specific solution to the problem, it is important to determine the reasons for the problem and the effective approaches that can be adopted to understand and tackle the problem effectively.

The aim of a research study is the rationale behind the study. It can be written as one of the following:

  • The study aims to determine/establish/verify…
  • The aim of this study is to examine/test/evaluate…
  • The study seeks to explore/investigate/inspect…

The objectives of a research study are the actions that will be taken to achieve the goal(s) of the study:

  • Surveys/interviews/questionnaires will be used to collect data on…
  • Qualitative methods will be used to identify/classify data on…
  • Using various statistical tools, the study will measure…

Examples of problem statements

Though a problem statement can differ depending on the issue being addressed, they are formulated using a similar process. The following is an example of addressing a practical research problem:

Problem : The poverty levels of the people of one region have been increasing while in the rest of the country they are decreasing.

Background : Surveys show that the poverty levels are highest among families with more than four children and families who rely on female breadwinners. While other parts of the country have provided incentives to similar groups and succeeded in reducing poverty, similar solutions have shown no results in the region of concern.

Relevance : Lower poverty levels are associated with lower disposable income levels, higher crime rates, and higher infant mortality rates. When people remain under poverty levels for a continuous period, they lose trust in government policies. Addressing this problem will help improve the condition of the people in the region and help to prevent a similar situation from arising in different regions of the country.

Objectives : This research aims to examine proactive poverty alleviation strategies to decrease poverty levels among the people of the region. It will identify the most significant factors contributing to increasing poverty levels through surveys and interviews, and conduct experiments to evaluate the efficiency of different strategies to solve the issue.

While the above example considers a practical research problem, let’s look at how a problem statement appears for a theoretical research problem:

Problem : Domestic violence seems to coincide with one or more alcoholoic partners within a household. This needs to be investigated.

Background : In the past few years, cases of partner violence under the influence of alcohol have been on the rise. Females below the age of 30 and those with poor education backgrounds are the prime victims. Research on consequences of drinking such as increased cases of road accidents, theft, and associated substance abuse has been conducted. However, there has been little work done to investigate the relationship between alcohol consumption and partner violence.

Relevance : In published literature, partner violence is understood to be a means of displaying power and dominance. To gain a fuller understanding of the behavioral tendencies and thought processes under the influence of alcohol, in-depth qualitative research is needed. Focusing on the experiences of alcoholics and their domestic violence victims can help develop theories on and solutions to this behavior.

Objectives: This research aims to understand the relationship between the consumption of alcohol and partner violence. Qualitative methods will be used to gain detailed knowledge about the behavior of alcoholics and the experiences of their domestic violence victims. This data will be examined along with a review of the recent published literature on partner violence.

Key takeaways

  • A problem statement is a succinct explanation of a problem or concern that a research study seeks to address.
  • A problem statement aims to offer a detailed method for problem solving and provides recommendations on how the problem can be avoided in the future.
  • The aim of a research study is the rationale behind the study. The objectives of a research study are the actions that will be taken to achieve the aim of the study.
  • Problem statements are used as communication tools by businesses and organizations to improve functionality.
  • A problem statement helps contextualize a problem, elucidate its relevance, and set up the aims and objectives of a research study to address it.

Research Process

For more details, visit these additional research guides .

Understand the Research Process

  • Research process
  • Research questions
  • Operationalization
  • Research problem
  • Statement of the problem
  • Background research
  • Research hypothesis
  • Generalization

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Home » Problem Statement – Writing Guide, Examples and Types

Problem Statement – Writing Guide, Examples and Types

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Problem Statement

Problem Statement

Definition:

Problem statement is a clear, concise, and well-defined statement that outlines the issue or challenge that needs to be addressed. It is a crucial element in any project or research as it provides a clear understanding of the problem, its context, and its potential impact.

Types of Problem Statements

There are various types of problem statements, and the type of problem statement used depends on the context and purpose of the project or research. Some common types of problem statements are:

Business Problem Statement

Business Problem Statement identifies a problem or challenge within an organization that needs to be solved. It typically includes the impact of the problem on the organization and its stakeholders, such as customers, employees, or shareholders.

Research Problem Statement

Research Problem Statement outlines the research question or problem that the study aims to address. It describes the research objectives, the significance of the research, and the potential impact of the research findings.

Design Problem Statement

Design Problem Statement defines the problem or challenge that a design project aims to solve. It includes the user’s needs, the design constraints, and the desired outcomes of the design project.

Social Problem Statement

Social Problem Statement describes a problem or challenge in society that needs to be addressed. It typically includes the social, economic, or political impact of the problem and its effect on individuals or communities.

Technical Problem Statement

Technical Problem Statement defines a problem or challenge related to technology or engineering. It includes the technical requirements, constraints, and potential solutions to the problem.

Components of Problem Statement

The components of a problem statement may vary depending on the context and purpose of the project or research, but some common components include:

  • Problem description : This component provides a clear and concise description of the problem, its context, and its impact. It should explain what the problem is, who is affected by it, and why it needs to be addressed.
  • Background information : This component provides context for the problem by describing the current state of knowledge or practice related to the problem. It may include a review of relevant literature, data, or other sources of information.
  • Objectives : This component outlines the specific objectives that the project or research aims to achieve. It should explain what the project or research team hopes to accomplish by addressing the problem.
  • Scope : This component defines the boundaries of the problem by specifying what is included and excluded from the problem statement. It should clarify the limits of the project or research and ensure that the team remains focused on the core problem.
  • Methodology : This component outlines the approach or methodology that the project or research team will use to address the problem. It may include details about data collection, analysis, or other methods used to achieve the objectives.
  • Expected outcomes : This component describes the potential impact or outcomes that the project or research aims to achieve. It should explain how the solution or findings will address the problem and benefit the stakeholders.

How to write Problem Statement

Here are some general steps to follow when writing a problem statement:

  • Identify the problem : Clearly identify the problem that needs to be addressed. Consider the context, stakeholders, and potential consequences of the problem.
  • Research the problem: Conduct research to gather data and information about the problem. This may involve reviewing literature, analyzing data, or consulting with experts.
  • Define the problem: Define the problem clearly and concisely, using specific language and avoiding vague or ambiguous terms. Be sure to include the impact of the problem and the context in which it occurs.
  • State the objectives : Clearly state the objectives that the project or research aims to achieve. This should be specific and measurable, with clear outcomes that can be evaluated.
  • Identify the scope: Identify the boundaries of the problem, including what is included and excluded from the problem statement. This helps to ensure that the team remains focused on the core problem.
  • Outline the methodology : Outline the approach or methodology that the project or research team will use to address the problem. This should be based on research and best practices, and should be feasible and realistic.
  • Describe the expected outcomes : Describe the potential impact or outcomes that the project or research aims to achieve. Be specific about how the solution or findings will address the problem and benefit the stakeholders.
  • Revise and refine : Review the problem statement and revise it as needed to ensure clarity, accuracy, and completeness.

Applications of Problem Statement

Here are some of the applications of problem statements:

  • Research : In academic research, problem statements are used to clearly define the research problem, identify the research question, and justify the need for the study. A well-crafted problem statement is essential for the success of any research project.
  • Project management: In project management, problem statements are used to identify the issues or challenges that a project team needs to address. Problem statements help project managers to define project scope, set project goals, and develop project plans.
  • Business strategy: In business strategy, problem statements are used to identify business challenges and opportunities. Problem statements help businesses to define their strategic objectives, develop action plans, and allocate resources.
  • Product development : In product development, problem statements are used to identify customer needs and develop new products that address those needs. Problem statements help product developers to define product requirements, develop product features, and test product prototypes.
  • Policy-making: In public policy-making, problem statements are used to identify social, economic, and environmental issues that require government intervention. Problem statements help policymakers to define policy objectives, develop policy options, and evaluate policy outcomes.

Examples of Problem Statements

Examples of Problem Statements are as follows:

  • High student-to-teacher ratios are leading to decreased individualized attention and lower academic achievement.
  • Limited funding for extracurricular activities is limiting opportunities for student development and engagement.
  • The lack of diversity and inclusion in curriculum is limiting cultural understanding and perpetuating inequalities.
  • The need for continuous professional development for teachers is crucial to improving teaching quality and student outcomes.
  • Unequal access to education due to socio-economic status, geographical location, or other factors is contributing to disparities in academic achievement.
  • The shortage of healthcare professionals is leading to increased patient wait times and decreased quality of care.
  • Limited access to mental health services is contributing to the high prevalence of mental health issues and suicides.
  • The over-prescription of opioids is contributing to the current opioid epidemic and increasing rates of addiction and overdose.
  • Limited access to affordable and nutritious food is leading to poor nutrition and increased rates of chronic diseases.
  • The lack of standardized electronic health record systems is limiting coordination of care and leading to medical errors.

Environmental Science

  • Pollution from industrial and agricultural practices is contributing to climate change and increased health risks.
  • The overexploitation of natural resources is leading to decreased biodiversity and ecological imbalance.
  • Limited access to clean water is leading to health issues and affecting agriculture and economic development.
  • The destruction of natural habitats is leading to the extinction of many species and disrupting ecosystems.
  • Climate change is leading to more frequent and severe natural disasters, causing significant damage to infrastructure and displacement of populations.

Engineering

  • The inadequate design and maintenance of bridges and roads is leading to increased accidents and fatalities.
  • The lack of reliable and sustainable energy sources is contributing to environmental degradation and limiting economic growth.
  • The lack of cybersecurity measures in critical infrastructure is making it vulnerable to cyber attacks and compromising public safety.
  • The lack of efficient waste management systems is contributing to pollution and environmental degradation.
  • The need for developing technologies that are environmentally friendly and sustainable is crucial to addressing climate change.

Social Work

  • The lack of resources for mental health and social services is contributing to homelessness and the need for emergency assistance.
  • The high prevalence of child abuse and neglect is leading to long-term physical and emotional harm to children.
  • The lack of affordable and accessible childcare is limiting the opportunities for working parents, especially mothers.
  • The stigmatization of mental health issues is limiting access to mental health services and perpetuating discrimination.
  • The limited access to education, employment, and housing opportunities is contributing to poverty and social inequality.
  • The increasing use of ad-blocking software is limiting the effectiveness of traditional digital advertising.
  • The lack of transparency in digital advertising is leading to ad fraud and decreased trust in online marketing.
  • The need to adapt marketing strategies to changing consumer behaviors and preferences is crucial to reaching target audiences effectively.
  • The high competition in the marketplace is making it challenging for small businesses to compete with larger corporations.
  • The need to balance marketing goals with ethical considerations is crucial to maintaining consumer trust and avoiding negative publicity.
  • The high prevalence of anxiety and depression is leading to decreased productivity and increased healthcare costs.
  • The limited access to mental health services in certain geographic areas is limiting access to care and contributing to disparities in mental health outcomes.
  • The need for effective prevention and intervention programs for substance abuse and addiction is crucial to reducing rates of addiction and overdose.
  • The lack of awareness and understanding of mental health issues is perpetuating stigma and limiting access to care.
  • The need for culturally sensitive mental health services that are tailored to the needs of diverse populations is crucial to improving mental health outcomes.

Purpose of Problem Statement

The purpose of a problem statement is to clearly and concisely describe a specific problem or issue that needs to be addressed. It serves as a clear and succinct explanation of the problem, its context, and its importance, providing the necessary information to understand why the problem is worth solving. A well-crafted problem statement also helps to define the scope of the problem, which in turn helps to guide the research or problem-solving process. In essence, a problem statement sets the stage for identifying potential solutions and determining the best approach to solve the problem.

Characteristics of Problem Statement

The characteristics of a good problem statement include:

  • Clear and concise : A problem statement should be written in clear and concise language, free of technical jargon, and easily understandable to the intended audience.
  • Specific : The statement should clearly define the problem and its scope. It should identify the who, what, where, when, and why of the problem.
  • Measurable : A problem statement should be measurable in some way, whether through quantitative or qualitative methods. This allows for objective assessment of progress towards solving the problem.
  • Relevant : The problem statement should be relevant to the context in which it is presented. It should relate to the needs and concerns of stakeholders and the broader community.
  • Feasible : The problem statement should be realistic and achievable, given the available resources and constraints.
  • Innovative: A good problem statement should inspire creative and innovative solutions.
  • Actionable : The problem statement should lead to actionable steps that can be taken to address the problem. It should provide a roadmap for moving forward.

Advantages of Problem Statement

Advantages of Problem Statement are as follows:

  • Focus : A problem statement helps to clearly define the problem at hand and provides focus to the problem-solving process. It helps to avoid wasting time and resources on issues that are not relevant.
  • Alignment : A well-written problem statement ensures that everyone involved in the problem-solving process is on the same page and understands the issue at hand. This alignment helps to ensure that efforts are focused in the right direction and that everyone is working towards the same goal.
  • Clarity : A problem statement provides clarity about the nature of the problem and its impact. This clarity helps to facilitate communication and decision-making, making it easier to develop effective solutions.
  • Innovation : A well-crafted problem statement can inspire creativity and encourage innovative thinking. By clearly defining the problem, it can help to identify new approaches and solutions that may not have been considered before.
  • Measurability : A problem statement that is clear and specific can be used to measure progress and success. It helps to ensure that efforts are focused on addressing the root cause of the problem and that progress towards a solution can be tracked and evaluated.

Limitations of Problem Statement

While problem statements have many advantages, they also have some limitations, such as:

  • Limited Scope: A problem statement is usually focused on a specific issue or challenge. As a result, it may not capture the full complexity of a larger problem, which can limit the effectiveness of the solutions developed.
  • Lack of Detail : In some cases, problem statements may be too broad or lack sufficient detail, which can make it difficult to develop effective solutions. It’s important to ensure that the problem statement is specific enough to guide the problem-solving process.
  • Bias : The way in which a problem statement is written can sometimes reflect the biases or assumptions of the person or group writing it. This can lead to a narrow or incomplete understanding of the problem and limit the effectiveness of the solutions developed.
  • Inflexibility : A problem statement may be too rigid or inflexible, which can limit the exploration of alternative solutions. It’s important to keep an open mind and be willing to adapt the problem statement as new information or perspectives emerge.

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briefly explain the statement of the problem in mathematics research

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How to write the Statement of a Problem

By charlesworth author services.

  • Charlesworth Author Services
  • 19 November, 2021

The first step in research is to outline the research problem – this might be an area of concern, a gap in the existing knowledge or a deviation in something that has been previously established, which warrants further investigation. 

Importance of the problem statement

The statement of a problem defines and describes the research hypothesis or question(s), along with the broad method that will be used to solve the problem . The statement of the problem serves as the basis for the introductory section of your project proposal. A well-formulated statement of the problem sets the stage for the rest of your study , including how you will address the problem and any anticipated outcomes or answers. Once you have very clearly laid out the core issue, problem or question that you’re investigating, you’ll have a much sharper focus for conducting and writing up the rest of your study. A clear and straightforward statement will also inform and impress your reader in grasping the issues that your proposed project will address.

Defining the ‘problem’

The research question should be compelling and must have an underlying basis. While formulating the problem statement, as a keen researcher, you should consider the current state of the topic in question, along with any other observations or educated guesses. 

As you are defining the ‘problem’ that you are addressing in your research, consider the following questions: 

  • What is the problem?
  • Why is it a problem, and why does it need to be resolved? 
  • What are the likely benefits of solving the problem? 
  • Besides the central question, what are smaller, specific questions that need to be asked and answered?

Clarifying and refining the problem statement

In the initial stages of writing, the problem statement might be a bit rough around the edges. A final and more refined form will emerge as you reflect more deeply over the topic and delve into the literature. The current status of the topic , including what is known and what is not , will help you refine your original problem statement to a clearer and more specific one.

Wrapping it up

To conclude the section, briefly summarise the problem and emphasise the need to fix it. All potential advantages and anticipated outcomes and implications should be mentioned here. Contextualising the problem in a broad sense will also strengthen your case.

Sample problem statement

In a detailed project proposal, the statement of the problem could be nearly a page long, over several paragraphs . In a report or paper, the problem is typically expressed in a few sentences in the Introduction . Here is an example based on a fictional study.

Early and targeted warning of dengue outbreaks is critical for vector control. Current studies have primarily focused on the role of weather conditions in dengue forecasting. Environmental and microenvironmental suitability for mosquito breeding has been sorely neglected as a crucial factor, particularly in the urban setting. The surge in dengue and other mosquito-borne infections in India metropolitan cities in 2020–2021 highlights the urgent need to identify conducive features to better track and predict outbreaks. This study proposes a framework for implementing intra-urban dengue forecasting by… Through this investigation, we aim to develop a set of early predictors for improved surveillance of dengue in large urban swathes in Indian metropolitan cities. 

Dos and don’ts of writing a problem statement

  • Write the actual problem statement as a declarative statement or as a question .
  • Explain in the statement how previous studies have not addressed the issue or have fallen short due to certain limitations.
  • Outline in your statement how you plan to overcome or circumvent previous roadblocks to fill these deficiencies.
  • Ensure the statement is lucid and to the point, without any distracting information.
  • Cite credible sources where needed.

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  • How to Write a Problem Statement | Guide & Examples

How to Write a Problem Statement | Guide & Examples

Published on 8 November 2022 by Shona McCombes and Tegan George.

A problem statement is a concise and concrete summary of the research problem you seek to address. It should:

  • Contextualise the problem. What do we already know?
  • Describe the exact issue your research will address. What do we still need to know?
  • Show the relevance of the problem. Why do we need to know more about this?
  • Set the objectives of the research. What will you do to find out more?

Table of contents

When should you write a problem statement, step 1: contextualise the problem, step 2: show why it matters, step 3: set your aims and objectives.

Problem statement example

Frequently asked questions about problem statements

There are various situations in which you might have to write a problem statement.

In the business world, writing a problem statement is often the first step in kicking off an improvement project. In this case, the problem statement is usually a stand-alone document.

In academic research, writing a problem statement can help you contextualise and understand the significance of your research problem. It is often several paragraphs long, and serves as the basis for your research proposal . Alternatively, it can be condensed into just a few sentences in your introduction .

A problem statement looks different depending on whether you’re dealing with a practical, real-world problem or a theoretical issue. Regardless, all problem statements follow a similar process.

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The problem statement should frame your research problem, giving some background on what is already known.

Practical research problems

For practical research, focus on the concrete details of the situation:

  • Where and when does the problem arise?
  • Who does the problem affect?
  • What attempts have been made to solve the problem?

Theoretical research problems

For theoretical research, think about the scientific, social, geographical and/or historical background:

  • What is already known about the problem?
  • Is the problem limited to a certain time period or geographical area?
  • How has the problem been defined and debated in the scholarly literature?

The problem statement should also address the relevance of the research. Why is it important that the problem is addressed?

Don’t worry, this doesn’t mean you have to do something groundbreaking or world-changing. It’s more important that the problem is researchable, feasible, and clearly addresses a relevant issue in your field.

Practical research is directly relevant to a specific problem that affects an organisation, institution, social group, or society more broadly. To make it clear why your research problem matters, you can ask yourself:

  • What will happen if the problem is not solved?
  • Who will feel the consequences?
  • Does the problem have wider relevance? Are similar issues found in other contexts?

Sometimes theoretical issues have clear practical consequences, but sometimes their relevance is less immediately obvious. To identify why the problem matters, ask:

  • How will resolving the problem advance understanding of the topic?
  • What benefits will it have for future research?
  • Does the problem have direct or indirect consequences for society?

Finally, the problem statement should frame how you intend to address the problem. Your goal here should not be to find a conclusive solution, but rather to propose more effective approaches to tackling or understanding it.

The research aim is the overall purpose of your research. It is generally written in the infinitive form:

  • The aim of this study is to determine …
  • This project aims to explore …
  • This research aims to investigate …

The research objectives are the concrete steps you will take to achieve the aim:

  • Qualitative methods will be used to identify …
  • This work will use surveys to collect …
  • Using statistical analysis, the research will measure …

The aims and objectives should lead directly to your research questions.

Learn how to formulate research questions

You can use these steps to write your own problem statement, like the example below.

Step 1: Contextualise the problem A family-owned shoe manufacturer has been in business in New England for several generations, employing thousands of local workers in a variety of roles, from assembly to supply-chain to customer service and retail. Employee tenure in the past always had an upward trend, with the average employee staying at the company for 10+ years. However, in the past decade, the trend has reversed, with some employees lasting only a few months, and others leaving abruptly after many years.

Step 2: Show why it matters As the perceived loyalty of their employees has long been a source of pride for the company, they employed an outside consultant firm to see why there was so much turnover. The firm focused on the new hires, concluding that a rival shoe company located in the next town offered higher hourly wages and better “perks”, such as pizza parties. They claimed this was what was leading employees to switch. However, to gain a fuller understanding of why the turnover persists even after the consultant study, in-depth qualitative research focused on long-term employees is also needed. Focusing on why established workers leave can help develop a more telling reason why turnover is so high, rather than just due to salaries. It can also potentially identify points of change or conflict in the company’s culture that may cause workers to leave.

Step 3: Set your aims and objectives This project aims to better understand why established workers choose to leave the company. Qualitative methods such as surveys and interviews will be conducted comparing the views of those who have worked 10+ years at the company and chose to stay, compared with those who chose to leave.

Once you’ve decided on your research objectives , you need to explain them in your paper, at the end of your problem statement.

Keep your research objectives clear and concise, and use appropriate verbs to accurately convey the work that you will carry out for each one.

I will compare …

Research objectives describe what you intend your research project to accomplish.

They summarise the approach and purpose of the project and help to focus your research.

Your objectives should appear in the introduction of your research paper , at the end of your problem statement .

A research aim is a broad statement indicating the general purpose of your research project. It should appear in your introduction at the end of your problem statement , before your research objectives.

Research objectives are more specific than your research aim. They indicate the specific ways you’ll address the overarching aim.

The way you present your research problem in your introduction varies depending on the nature of your research paper . A research paper that presents a sustained argument will usually encapsulate this argument in a thesis statement .

A research paper designed to present the results of empirical research tends to present a research question that it seeks to answer. It may also include a hypothesis – a prediction that will be confirmed or disproved by your research.

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How to Write a Statement of the Problem in Research

Madalsa

Table of Contents

The problem statement is a foundation of academic research writing , providing a precise representation of an existing gap or issue in a particular field of study.

Crafting a sharp and focused problem statement lays the groundwork for your research project.

  • It highlights the research's significance .
  • Emphasizes its potential to influence the broader academic community.
  • Represents the initial step for you to make a meaningful contribution to your discipline.

Therefore, in this article, we will discuss what is a statement of the problem in research and how to craft a compelling research problem statement.

What is a research problem statement?

A research problem statement is a concise, clear, and specific articulation of a gap in current knowledge that your research aims to bridge. It not only sets forth the scope and direction of your research but also establishes its relevance and significance.

Your problem statement in your research paper aims to:

  • Define the gap : Clearly identify and articulate a specific gap or issue in the existing knowledge.
  • Provide direction : Serve as a roadmap, guiding the course of your research and ensuring you remain focused.
  • Establish relevance : Highlight the importance and significance of the problem in the context of your field or the broader world.
  • Guide inquiry :  Formulate the research questions or hypotheses you'll explore.
  • Communicate intent : Succinctly convey the core purpose of your research to stakeholders, peers, and any audience.
  • Set boundaries : Clearly define the scope of your research to ensure it's focused and achievable.

When should you write a problem statement in research?

Initiate your research by crafting a clear problem statement. This should be done before any data collection or analysis, serving as a foundational anchor that clearly identifies the specific issue you aim to address.

By establishing this early on, you shape the direction of your research, ensuring it targets a genuine knowledge gap.

Furthermore, an effective and a concise statement of the problem in research attracts collaborators, funders, and supporters, resonating with its clarity and purpose. Remember, as your research unfolds, the statement might evolve, reflecting new insights and staying pertinent.

But how do you distinguish between a well-crafted problem statement and one that falls short?

Effective vs. ineffective research problem statements

Imagine a scenario where medical researchers aim to tackle a new strain of virus. Their effective problem statement wouldn't merely state the existence of the virus. Instead, it would delve into the specifics — the regions most affected, the demographics most vulnerable, and the current limitations in medical interventions.

Whereas an ineffective research problem statement is vague, overly broad, or ambiguous, failing to provide a clear direction for the research. It may not be rooted in existing literature, might lack clarity on its significance, or could be framed in a way that makes the research objectives unachievable or irrelevant.

To understand it better, let's consider the topic of “Remote work and employee productivity.”

Effective problem statement

“Over the past decade, there has been a 70% increase in organizations adopting remote work policies. While some studies suggest remote work enhances employee productivity, others indicate potential declines due to distractions at home.

However, there’s a lack of comprehensive research examining the specific factors in a remote environment that influence productivity. This study aims to identify and analyze these factors, providing organizations with actionable insights to optimize remote work policies.”

Why is this statement of a problem in research effective?

  • Specificity : The statement provides a clear percentage to highlight the rise in remote work.
  • Context : It acknowledges existing research and the conflicting findings.
  • Clear gap identification : It points out the lack of comprehensive research on specific factors affecting productivity in remote work.
  • Purpose : The statement concludes with a clear aim for the research.

Ineffective problem statement

"People are working from home a lot now, especially since there are so many internet tools. Some say it's good; others say it's not that great. This research will just look into the whole work-from-home thing and see what's up."

Why is this statement of a problem in research ineffective?

  • Informal language : Phrases like "what's up" and "the whole work-from-home thing" are not suitable for academic writing.
  • Vagueness : The statement doesn't provide any specific data or context about the rise of remote work.
  • Lack of clear focus : It's unclear what aspect of remote work the research will address.
  • Ambiguous purpose : The statement doesn't specify the research's objectives or expected outcomes.

After gaining an understanding of what an effective research problem statement looks like, let's dive deeper into how to write one.

How to write a problem statement in research?

Drafting your research problem statement at the onset of your research journey ensures that your research remains anchored. That means by defining and articulating the main issue or challenge you intend to address at the very beginning of your research process; you provide a clear focus and direction for the entire study.

Here's a detailed guide to how you can write an effective statement of the problem in research.

Identify the research area : Before addressing a specific problem, you need to know the broader domain or field of your study. This helps in contextualizing your research and ensuring it aligns with existing academic disciplines.

Example: If you're curious about the effects of digital technology on human behavior, your broader research area might be Digital Sociology or Media Studies.

Conduct preliminary literature review : Familiarize yourself with existing research related to your topic. This will help you understand what's already known and, more importantly, identify gaps or unresolved questions in the existing knowledge. This step also ensures you're advancing upon existing work rather than replicating it.

Example: Upon reviewing literature on digital technology and behavior, you find many studies on social media's impact on youth but fewer on its effects on the elderly.

Read how to conduct an effective literature review .

Define the specific problem : After thoroughly reviewing the literature, pinpoint a particular issue that your research will address. Ensure that this chosen issue is not only of substantial importance in its field but also realistically approachable given your resources and expertise. To define it precisely, you might consider:

  • Highlighting discrepancies or contradictions in existing literature.
  • Emphasizing the real-world implications of this gap.
  • Assessing the feasibility of exploring this issue within your means and timeframe.

Example: You decide to investigate how digital technology, especially social media, affects the mental well-being of the elderly, given the limited research in this area.

Articulate clearly and concisely : Your problem statement should be straightforward and devoid of jargon. It needs to convey the essence of your research issue in a manner that's understandable to both experts and non-experts.

Example: " The impact of social media on the mental well-being of elderly individuals remains underexplored, despite the growing adoption of digital technology in this age group. "

Highlight the significance : Explain why your chosen research problem matters. This could be due to its real-world implications, its potential to fill a knowledge gap or its relevance to current events or trends.

Example: As the elderly population grows and becomes more digitally connected, understanding the psychological effects of social media on this demographic could inform digital literacy programs and mental health interventions.

Ensure feasibility : Your research problem should be something you can realistically study, given your resources, timeframe, and expertise. It's essential to ensure that you can gather data, conduct experiments, or access necessary materials or participants.

Example: You plan to survey elderly individuals in local community centers about their social media usage and perceived mental well-being, ensuring you have the means to reach this demographic.

Seek feedback : Discuss your preliminary problem statement with peers, mentors, or experts in the field. They can provide insights, point out potential pitfalls, or suggest refinements.

Example: After discussing with a gerontologist, you decide to also consider the role of digital training in moderating the effects of social media on the elderly.

Refine and Revise : Based on feedback and further reflection, revise and improve your problem statement. This iterative process ensures clarity, relevance, and precision.

Example: Your refined statement reads: Despite the increasing digital connectivity of the elderly, the effects of social media on their mental well-being, especially in the context of digital training, remain underexplored.

By following these detailed steps, you can craft a research problem statement that is both compelling and academically rigorous.

Having explored the details of crafting a research problem statement, it's crucial to distinguish it from another fundamental element in academic research: the thesis statement.

Difference between a thesis statement and a problem statement

While both terms are central to research, a thesis statement presents your primary claim or argument, whereas a problem statement describes the specific issue your research aims to address.

Think of the thesis statement as the conclusion you're driving towards, while the problem statement identifies a specific gap in current knowledge.

For instance, a problem statement might highlight the rising mental health issues among teenagers, while the thesis statement could propose that increased screen time is a significant contributor.

Refer to the comparison table between what is a thesis and a problem statement in the research below:

Aspect

Thesis Statement

Problem Statement

Definition

A concise statement that presents the main claim or argument of the research

A clear articulation of a specific issue or gap in knowledge that the research aims to address

Purpose

To provide readers with the primary focus or argument of the research and what it aims to demonstrate

To highlight a particular issue or gap that the research seeks to address

Placement

Found in the introduction of a thesis or dissertation, usually within the first 1-2 pages, indicating the central argument or claim the entire work

Positioned early in research papers or proposals, it sets the context by highlighting the issue the research will address, guiding subsequent questions and methodologies

Nature of statement

Assertive and argumentative, as it makes a claim that the research will support or refute

Descriptive and explanatory, as it outlines the issue without necessarily proposing a solution or stance

Derived from

Research findings, data analysis, and interpretation

Preliminary literature review, observed gaps in knowledge, or identified issues in a particular field

Word count

Typically concise, ranging from 1 sentence to a short paragraph (approximately 25-50 words)

Generally more detailed, ranging from a paragraph to a page (approximately 100-300 words)

Common mistakes to avoid in writing statement of the problem in research

Mistakes in the research problem statement can lead to a domino effect, causing misalignment in research objectives, wasted resources, and even inconclusive or irrelevant results.

Recognizing and avoiding these pitfalls not only strengthens the foundation of your research but also ensures that your efforts concede impactful insights.

Here's a detailed exploration of frequent subjective, qualitative, quantitative and measurable mistakes and how you can sidestep them.

Being too broad or too narrow

A problem statement that's too broad can lack focus, making it challenging to derive specific research questions or objectives. Conversely, a statement that's too narrow might limit the scope of your research or make it too trivial.

Example of mistake: "Studying the effects of diet on health" is too broad, while "Studying the effects of eating green apples at 3 pm on heart health" is overly narrow.

You can refine the scope based on preliminary research. The correct way to write this problem statement will be "Studying the effects of a high-fiber diet on heart health in adults over 50." This statement is neither too broad nor too narrow, and it provides a clear direction for the research.

Using unnecessary jargon or technical language

While academic writing often involves academic terms, overloading your problem statement with jargon can alienate readers and obscure the actual problem.

Example of Mistake: "Examining the diurnal variations in macronutrient ingestion vis-à-vis metabolic homeostasis."

To ensure it’s not complicated, you can simplify and clarify. "Examining how daily changes in nutrient intake affect metabolic balance" conveys the same idea more accessible.

Not emphasizing the "Why" of the problem

It's not enough to state a problem; you must also convey its significance. Why does this problem matter? What are the implications of not addressing it?

Example of Mistake: "Many students are not engaging with online learning platforms."

You can proceed with the approach of highlighting the significance here. "Many students are not engaging with online learning platforms, leading to decreased academic performance and widening educational disparities."

Circular reasoning and lack of relevance

Your problem statement should be grounded in existing research or observed phenomena. Avoid statements that assume what they set out to prove or lack a clear basis in current knowledge.

Example of Mistake: "We need to study X because not enough research has been done on X."

Instead, try grounding your statement based on already-known facts. "While several studies have explored Y, the specific impact of X remains unclear, necessitating further research."

Being overly ambitious

While it's commendable to aim high, your problem statement should reflect a challenge that's achievable within your means, timeframe, and resources.

Example of Mistake: "This research will solve world hunger."

Here, you need to be realistic and focused. "This research aims to develop sustainable agricultural techniques to increase crop yields in arid regions."

By being mindful of these common mistakes, you can craft a problem statement that is clear, relevant and sets a solid foundation for your research.

Over-reliance on outdated data

Using data that is no longer relevant can mislead the direction of your research. It's essential to ensure that the statistics or findings you reference are current and pertinent to the present scenario.

Example of Mistake: "According to a 1995 study, only 5% of the population uses the internet for daily tasks."

You always cross-check the dates and relevance of the data you're using. For a contemporary study on internet usage, you'd want to reference more recent statistics.

Not specifying the sample size or demographic

A problem statement should be clear about the population or sample size being studied, especially when making generalizations or claims.

Example of Mistake: "People prefer online shopping to in-store shopping."

Here, you would benefit from specifying the demographic or sample size when presenting data to avoid overgeneralization. " In a survey of 1,000 urban residents aged 18-35, 70% expressed a preference for online shopping over in-store shopping. "

Ignoring conflicting data

Cherry-picking data that supports your hypothesis while ignoring conflicting data can lead to a biased problem statement.

Example of Mistake: "Research shows that all students benefit from online learning."

You’ve to ensure a balanced view by considering all relevant data, even if it contradicts your hypothesis. " While many studies highlight the advantages of online learning for students, some research points to challenges such as decreased motivation and lack of face-to-face interaction. "

Making unsubstantiated predictions

Projecting future trends without solid data can weaken the credibility of your problem statement.

Example of Mistake: "The demand for electric cars will increase by 500% in the next year."

Base your predictions on current trends and reliable data sources, avoiding hyperbolic or unsupported claims. " With the current growth rate and recent advancements in battery technology, there's potential for a significant rise in the demand for electric cars. "

Wrapping Up

A well-crafted problem statement ensures that your research is focused, relevant, and contributes meaningfully to the broader academic community.

However, the consequences of an incorrect or poorly constructed problem statement can be severe. It can lead to misdirected research efforts, wasted resources, compromised credibility, and even ethical concerns. Such pitfalls underscore the importance of dedicating time and effort to craft a precise and impactful problem statement.

So, as you start your research journey , remember that a well-defined problem statement is not just a starting point; it guides your entire research journey, ensuring clarity, relevance, and meaningful contributions to your field.

Frequently Asked Questions

A problem statement is a clear, concise and specific articulation of a gap in current knowledge that your research aims to bridge.

The Problem Statement should highlight existing gaps in current knowledge and also the significance of the research. It should also include the research question and purpose of the research.

Clear articulation of the problem and establishing relevance; Working thesis (methods to solve the problem); Purpose and scope of study — are the 3 parts of the problem statement.

While the statement of the problem articulates and delineates a particular research problem, Objectives designates the aims, purpose and strategies to address the particular problem.

Here’s an example — “The study aims to identify and analyze the specific factors that impact employee productivity, providing organizations with actionable insights to optimize remote work policies.”

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research problems

What is a Research Problem? Characteristics, Types, and Examples

What is a Research Problem? Characteristics, Types, and Examples

A research problem is a gap in existing knowledge, a contradiction in an established theory, or a real-world challenge that a researcher aims to address in their research. It is at the heart of any scientific inquiry, directing the trajectory of an investigation. The statement of a problem orients the reader to the importance of the topic, sets the problem into a particular context, and defines the relevant parameters, providing the framework for reporting the findings. Therein lies the importance of research problem s.  

The formulation of well-defined research questions is central to addressing a research problem . A research question is a statement made in a question form to provide focus, clarity, and structure to the research endeavor. This helps the researcher design methodologies, collect data, and analyze results in a systematic and coherent manner. A study may have one or more research questions depending on the nature of the study.   

briefly explain the statement of the problem in mathematics research

Identifying and addressing a research problem is very important. By starting with a pertinent problem , a scholar can contribute to the accumulation of evidence-based insights, solutions, and scientific progress, thereby advancing the frontier of research. Moreover, the process of formulating research problems and posing pertinent research questions cultivates critical thinking and hones problem-solving skills.   

Table of Contents

What is a Research Problem ?  

Before you conceive of your project, you need to ask yourself “ What is a research problem ?” A research problem definition can be broadly put forward as the primary statement of a knowledge gap or a fundamental challenge in a field, which forms the foundation for research. Conversely, the findings from a research investigation provide solutions to the problem .  

A research problem guides the selection of approaches and methodologies, data collection, and interpretation of results to find answers or solutions. A well-defined problem determines the generation of valuable insights and contributions to the broader intellectual discourse.  

Characteristics of a Research Problem  

Knowing the characteristics of a research problem is instrumental in formulating a research inquiry; take a look at the five key characteristics below:  

Novel : An ideal research problem introduces a fresh perspective, offering something new to the existing body of knowledge. It should contribute original insights and address unresolved matters or essential knowledge.   

Significant : A problem should hold significance in terms of its potential impact on theory, practice, policy, or the understanding of a particular phenomenon. It should be relevant to the field of study, addressing a gap in knowledge, a practical concern, or a theoretical dilemma that holds significance.  

Feasible: A practical research problem allows for the formulation of hypotheses and the design of research methodologies. A feasible research problem is one that can realistically be investigated given the available resources, time, and expertise. It should not be too broad or too narrow to explore effectively, and should be measurable in terms of its variables and outcomes. It should be amenable to investigation through empirical research methods, such as data collection and analysis, to arrive at meaningful conclusions A practical research problem considers budgetary and time constraints, as well as limitations of the problem . These limitations may arise due to constraints in methodology, resources, or the complexity of the problem.  

Clear and specific : A well-defined research problem is clear and specific, leaving no room for ambiguity; it should be easily understandable and precisely articulated. Ensuring specificity in the problem ensures that it is focused, addresses a distinct aspect of the broader topic and is not vague.  

Rooted in evidence: A good research problem leans on trustworthy evidence and data, while dismissing unverifiable information. It must also consider ethical guidelines, ensuring the well-being and rights of any individuals or groups involved in the study.

briefly explain the statement of the problem in mathematics research

Types of Research Problems  

Across fields and disciplines, there are different types of research problems . We can broadly categorize them into three types.  

  • Theoretical research problems

Theoretical research problems deal with conceptual and intellectual inquiries that may not involve empirical data collection but instead seek to advance our understanding of complex concepts, theories, and phenomena within their respective disciplines. For example, in the social sciences, research problem s may be casuist (relating to the determination of right and wrong in questions of conduct or conscience), difference (comparing or contrasting two or more phenomena), descriptive (aims to describe a situation or state), or relational (investigating characteristics that are related in some way).  

Here are some theoretical research problem examples :   

  • Ethical frameworks that can provide coherent justifications for artificial intelligence and machine learning algorithms, especially in contexts involving autonomous decision-making and moral agency.  
  • Determining how mathematical models can elucidate the gradual development of complex traits, such as intricate anatomical structures or elaborate behaviors, through successive generations.  
  • Applied research problems

Applied or practical research problems focus on addressing real-world challenges and generating practical solutions to improve various aspects of society, technology, health, and the environment.  

Here are some applied research problem examples :   

  • Studying the use of precision agriculture techniques to optimize crop yield and minimize resource waste.  
  • Designing a more energy-efficient and sustainable transportation system for a city to reduce carbon emissions.  
  • Action research problems

Action research problems aim to create positive change within specific contexts by involving stakeholders, implementing interventions, and evaluating outcomes in a collaborative manner.  

Here are some action research problem examples :   

  • Partnering with healthcare professionals to identify barriers to patient adherence to medication regimens and devising interventions to address them.  
  • Collaborating with a nonprofit organization to evaluate the effectiveness of their programs aimed at providing job training for underserved populations.  

These different types of research problems may give you some ideas when you plan on developing your own.  

How to Define a Research Problem  

You might now ask “ How to define a research problem ?” These are the general steps to follow:   

  • Look for a broad problem area: Identify under-explored aspects or areas of concern, or a controversy in your topic of interest. Evaluate the significance of addressing the problem in terms of its potential contribution to the field, practical applications, or theoretical insights.
  • Learn more about the problem: Read the literature, starting from historical aspects to the current status and latest updates. Rely on reputable evidence and data. Be sure to consult researchers who work in the relevant field, mentors, and peers. Do not ignore the gray literature on the subject.
  • Identify the relevant variables and how they are related: Consider which variables are most important to the study and will help answer the research question. Once this is done, you will need to determine the relationships between these variables and how these relationships affect the research problem . 
  • Think of practical aspects : Deliberate on ways that your study can be practical and feasible in terms of time and resources. Discuss practical aspects with researchers in the field and be open to revising the problem based on feedback. Refine the scope of the research problem to make it manageable and specific; consider the resources available, time constraints, and feasibility.
  • Formulate the problem statement: Craft a concise problem statement that outlines the specific issue, its relevance, and why it needs further investigation.
  • Stick to plans, but be flexible: When defining the problem , plan ahead but adhere to your budget and timeline. At the same time, consider all possibilities and ensure that the problem and question can be modified if needed.

briefly explain the statement of the problem in mathematics research

Key Takeaways  

  • A research problem concerns an area of interest, a situation necessitating improvement, an obstacle requiring eradication, or a challenge in theory or practical applications.   
  • The importance of research problem is that it guides the research and helps advance human understanding and the development of practical solutions.  
  • Research problem definition begins with identifying a broad problem area, followed by learning more about the problem, identifying the variables and how they are related, considering practical aspects, and finally developing the problem statement.  
  • Different types of research problems include theoretical, applied, and action research problems , and these depend on the discipline and nature of the study.  
  • An ideal problem is original, important, feasible, specific, and based on evidence.  

Frequently Asked Questions  

Why is it important to define a research problem?  

Identifying potential issues and gaps as research problems is important for choosing a relevant topic and for determining a well-defined course of one’s research. Pinpointing a problem and formulating research questions can help researchers build their critical thinking, curiosity, and problem-solving abilities.   

How do I identify a research problem?  

Identifying a research problem involves recognizing gaps in existing knowledge, exploring areas of uncertainty, and assessing the significance of addressing these gaps within a specific field of study. This process often involves thorough literature review, discussions with experts, and considering practical implications.  

Can a research problem change during the research process?  

Yes, a research problem can change during the research process. During the course of an investigation a researcher might discover new perspectives, complexities, or insights that prompt a reevaluation of the initial problem. The scope of the problem, unforeseen or unexpected issues, or other limitations might prompt some tweaks. You should be able to adjust the problem to ensure that the study remains relevant and aligned with the evolving understanding of the subject matter.

How does a research problem relate to research questions or hypotheses?  

A research problem sets the stage for the study. Next, research questions refine the direction of investigation by breaking down the broader research problem into manageable components. Research questions are formulated based on the problem , guiding the investigation’s scope and objectives. The hypothesis provides a testable statement to validate or refute within the research process. All three elements are interconnected and work together to guide the research.  

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Research Problem Statement — Find out how to write an impactful one!

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Table of Contents

What Is a Research Problem Statement?

A research problem statement is a clear, concise, and specific statement that describes the issue or problem that the research project addresses. It should be written in a way that is easily understandable to both experts and non-experts in the field.

To write a research problem statement, you should:

  • Identify the general area of interest: Start by identifying the general area of research that interests you.
  • Define the specific problem: Narrow down the general area of interest to a specific problem or issue.
  • Explain the significance of the problem: Provide context for the problem by explaining why it is important to study and what gap in current knowledge or understanding it fills.
  • Provide a clear and concise statement: State the problem in a clear and concise manner, making sure to use language that is easily understood by your intended audience.
  • Use a scientific and objective tone: The problem statement should be written in a neutral and objective tone, avoiding any subjective language and personal bias .

An Example of a Research Problem Statement

“The increasing prevalence of obesity in children is a growing public health concern. Despite the availability of information on healthy eating and physical activity, many children are still not engaging in healthy lifestyle behaviors. The problem this study addresses is the lack of understanding of the barriers and facilitators to healthy lifestyle behaviors in children.”

When to Write a Problem Statement in Research?

A research problem statement should be written at the beginning of the research process, before any data collection or analysis takes place. This is because the statement sets the foundation for the entire research project by clearly defining the problem that the research is trying to address.

Writing a problem statement early in the research process helps to guide the research design and methodology , and ensures that the research is focused on addressing the specific problem at hand. It also helps to ensure that the research is relevant and addresses a gap in current knowledge or understanding.

In addition, a well-written problem statement effectively communicates the purpose and significance of the research to potential funders, collaborators, and other stakeholders. It also generates interest and support for the research project.

It’s also important to note that, during the research process, the statement can be refined or updated as new information is discovered or as the research progresses. This is normal and it’s a good idea to revise the statement as needed to ensure that it remains clear and concise and that it accurately reflects the current focus of the research project.

What Does a Research Problem Statement Include?

A research problem statement typically includes the following elements:

1. The research topic:

The general area of interest or field of study that the research project addresses.

2. The specific problem or issue:

A clear and concise statement of the problem or issue that the research project aims to address.

3. The significance of the problem:

A discussion of why the problem is important and what gap in current knowledge or understanding it fills.

4. The research questions:

A set of questions that the research project aims to answer, in order to address the problem or issue.

5. The research objectives:

A set of specific and measurable objectives that the research project aims to achieve.

6. The scope of the research:

A description of the specific population, setting, or context that the research project will focus on.

7. The theoretical framework:

A discussion of the theoretical concepts and principles that inform the research project.

8. The research design:

A description of the research methodologies that will be used to collect and analyze data in order to address the research questions and objectives.

It’s important to note that the problem statement is usually brief and concise, typically a few sentences or a short paragraph. But it should provide enough information to convey the main idea of the research project.

Important Features of Research Problem Statement

The problem statement should be clear and easy to understand. Write it in a way that is accessible to both experts and non-experts in the field.

2. Specificity

The statement should be specific and clearly define the problem or issue that the research project aims to address. It should be narrow enough to be manageable, but broad enough to be of interest to others in the field.

3. Significance

The statement should explain why the problem is important and what gap in current knowledge or understanding it fills. It should provide context for the research project and help to justify its importance.

4. Relevance

The statement should be relevant to the field of study and address an issue that is currently of concern to researchers.

5. Research questions

The statement should include a set of research questions that the research project aims to answer in order to address the problem or issue.

6. Research objectives

The statement should include a set of specific and measurable objectives that the research project aims to achieve.

The statement should define the specific population, setting, or context that the research project will focus on.

8. Theoretical framework

The statement should provide an overview of the theoretical concepts and principles that inform the research project.

9. Research design

The statement should provide an overview of the research methodologies. This will be useful collect and analyze data in order to address the research questions and objectives.

Difference Between a Thesis Statement and a Problem Statement

A thesis statement and a problem statement are related but distinct elements of a research project.

A thesis statement is a statement that summarizes the central argument or claim of a research paper or essay. It presents the main idea of the paper and sets the direction for the rest of the content. It’s usually located at the end of the introduction, and it’s often one sentence.

A problem statement, on the other hand, is a statement that describes a specific problem or issue that the research project aims to address. It sets the foundation for the entire research project by clearly defining the research problem. It is usually located at the beginning of a research paper or proposal, and is of one or a few paragraphs.

In summary, a thesis statement is a summary of the main point or key argument of the research paper. A problem statement describes the specific issue that the research project aims to address. A thesis statement is more focused on the final outcome of the research. While a problem statement is focused on the current state of knowledge and the gap in understanding that the research project aims to fill.

In Conclusion

A problem statement is a critical component of the research project, as it provides a clear and concise roadmap for the research, and helps to ensure that the research is well-designed and addresses a significant and relevant issue.

We hope this blog has clarified your doubts and confusion associated with research problem statement and helps you write an effective statement for your research project!

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How to Write a Problem Statement

Last Updated: January 17, 2024 Approved

This article was co-authored by Joe Simmons . Joe Simmons is a Corporate Trainer based in West Palm Beach, Florida. Joe specializes in operations management, leadership, learning and development, and employee training to help employees become high-performing teams. He holds a Bachelor’s degree in Marketing from The University of South Florida. Joe’s coaching has helped numerous organizations with employee retention, revenue growth, and team productivity. wikiHow marks an article as reader-approved once it receives enough positive feedback. This article has 44 testimonials from our readers, earning it our reader-approved status. This article has been viewed 3,602,996 times.

A problem statement is a short, succinct explanation of a problem a business is facing and a proposed solution to the problem. Problem statements can be effective ways to define an issue and communicate a solution within a short span of time. Before you write your problem statement, think about the problem and your proposed solution, and be prepared to back it up with facts!

Sample Problem Statements

briefly explain the statement of the problem in mathematics research

Writing Your Own Problem Statement

Step 1 Describe the

  • For instance, let's say that you work at a major airline and that you've noticed that the way passengers board your planes is an inefficient use of time and resources. In this case, you might begin your problem statement by describing an ideal situation where the boarding system isn't inefficient that the company should shoot for, like this: "The boarding protocols used by ABC Airlines should aim to get each flight's passengers aboard the plane quickly and efficiently so that the plane can take off as soon as possible . The process of boarding should be optimized for time-efficiency but also should be straightforward enough that it can be easily understood by all passengers."

Step 2 Explain your problem.

  • Let's say that you think you've developed a quicker, more efficient system for getting passengers aboard our planes than the typical "back to front" seating system. In this case, you might continue with a few sentences like, "However, ABC Airline's current passenger boarding system is an inefficient use of the company's time and resources. By wasting employee man-hours, the current boarding protocols make the company less competitive, and by contributing to a slow boarding process, they create an unfavorable brand image."

Step 3 Explain your problem's financial costs.

  • For our airline example, you might proceed to explain the problem's financial cost like this: "The inefficiency of the current boarding system represents a significant financial burden for the company. On average, the current boarding system wastes roughly four minutes per boarding session, resulting in a total of 20 wasted man-hours per day across all ABC flights. This represents a waste of roughly $400 per day or $146,000 per year."

Step 4 Back up your assertions.

  • In some corporate and academic situations, you may need to explicitly reference your evidence in the text of your problem statement, while in other situations, it may be enough to simply use a footnote or another form of shorthand for your citations. If you're unsure, ask your boss or teacher for advice.
  • Let's reexamine the sentences used in the previous step. They describe the cost of the problem but don't explain how this cost was found. A more thorough explanation might include this: "...Based on internal performance tracking data, [1] on average, the current boarding system wastes roughly four minutes per boarding session, resulting in a total of 20 wasted man-hours per day across all ABC flights. Terminal personal are paid an average of $20 per hour, so this represents a waste of roughly $400 per day or $146,000 per year." Note the footnote — in an actual problem statement, this would correspond to a reference or appendix containing the data mentioned.

Step 5 Propose a solution.

  • In our airline example, our solution to the problem of inefficient boarding practices is this new system you've discovered, so you should briefly explain the broad strokes of this new system without getting into the minor details. You might say something like, "Using a modified boarding system proposed by Dr. Edward Right of the Kowlard Business Efficiency Institute which has passengers board the plane from the sides in rather than from the back to the front, ABC Airlines can eliminate these four minutes of waste." You might then go on to explain the basic gist of the new system, but you wouldn't use more than a sentence or two to do this, as the "meat" of our analysis will be in the body of the proposal.

Step 6 Explain the benefits of the solution.

  • In our example, you might briefly describe how our company could conceivably benefit from the money saved with our solution. A few sentences along these lines might work: "ABC Airlines stands to benefit substantially from the adoption of this new boarding program. For instance, the $146,000 in estimated yearly savings can be re-directed to new sources of revenue, such as expanding its selection of flights to high-demand markets. In addition, by being the first American airline to adopt this solution, ABC stands to gain considerable recognition as an industry trendsetter in the areas of value and convenience."

Step 7 Conclude by summarizing the problem and solution.

  • In our airline example, you might conclude like this: "Optimization of current boarding protocols or adoption of new, more-effective protocols is crucial for the continued competitiveness of the company. In this proposal, the alternative boarding protocols developed by Dr. Right are analyzed for their feasibility and steps for effective implementation are suggested." This sums up the main point of the problem statement — that the current boarding procedure isn't very good and that this new one is better — and tells the audience what to expect if they continue reading.

Step 8 For academic work, don't forget a thesis statement.

  • For instance, let's say you're writing a paper on the problem of academic essay mills — companies that sell pre-written and/or custom works for students to purchase and turn in as their own work. As our thesis statement, you might use this sentence, which acknowledges the problem and the solution we're about to propose: "The practice of buying academic essays, which undermines the learning process and gives an advantage to rich students, can be combated by providing professors with stronger digital analysis tools."
  • Some classes explicitly require you to put your thesis sentence at a certain place in your problem statement (for instance, as the very first or very last sentence). Other times, you'll have more freedom — check with your teacher if you're not sure.

Step 9 Follow the same process for conceptual problems.

  • For instance, let's say that we're asked to write a problem statement for a report on the importance of religious symbolism in The Brothers Karamazov by Fyodor Dostoevsky. In this case, our problem statement should identify some poorly-understood aspect of the religious symbolism in the novel, explain why this matters (for instance, you might say that by better understanding the religious symbolism in the novel, it's possible to draw new insights from the book), and layout how you plan to support our argument.

Polishing Your Problem Statement

Step 1 Be concise.

  • A problem statement is no place to add your own personal commentary or "flavor", as this makes the problem statement longer for no practical purpose. You may or may not have the opportunity to be more long-winded in the body of your document, depending on the seriousness of your topic and audience.

Step 2 Write to your audience.

  • "Who, specifically, am I writing for?"
  • "Why am I addressing this audience?"
  • "Does this audience know all of the same terms and concepts as I do?"
  • "Does this audience share the same attitude as I do towards this problem?"
  • "Why should my audience care about this problem?"

Step 3 Don't use jargon without defining it.

  • For instance, if we're writing for a board of highly-educated physicians, it may be OK to assume that they'll know what the term "metacarpal" means. However, if we're writing to an audience made up of both physicians and wealthy hospital investors who may or may not be medically trained, it's a good idea to introduce the word "metacarpal" with its definition- the bone between the first two joints of the finger.

Step 4 Stick to a narrow, defined problem.

  • A good rule of thumb is to only address problems that you can definitively solve beyond a shadow of a doubt. If you're not sure of a definitive solution that can solve your entire problem, you may want to narrow the scope of your project and change your problem statement to reflect this new focus.
  • To keep the scope of a problem statement under control, it can be helpful to wait until after completing the body of the document or proposal to write the problem statement. In this case, when you write your problem statement, you can use our actual document as a guideline so that you don't have to guess about the ground you may cover when you write it.

Step 5 Remember the

  • For instance, if you're writing a problem statement to propose a new building development to your local city council, you might address the five Ws by explaining who the development would benefit, what the development would require, where the development should be, when construction should begin, and why the development is ultimately a smart idea for the city.

Step 6 Use a formal voice.

  • The closest you can usually get to including purely "entertaining" content in academic writing in the humanities. Here, occasionally, it's possible to encounter problem statements that begin with a quote or epigraph. Even in these cases, however, the quote has some bearing on the problem being discussed and the rest of the problem statement is written in a formal voice.

Step 7 Always proofread for errors.

  • You'll never regret re-reading your problem statement before you turn it in. Since, by its very nature, the problem statement is usually the first part of a proposal or report that someone will read, any errors here will be especially embarrassing for you and can even reflect negatively on your entire document.

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  • http://journals.lww.com/academicmedicine/fulltext/2001/09000/problem_statement,_conceptual_framework,_and.21.aspx

About This Article

Joe Simmons

The first thing you should do in a problem statement is to describe the ideal solution using words like "should." Then, introduce the problem by using words like "Unfortunately" or "However," followed by a clear 1-2 sentence description of what's wrong. In order to emphasize why this problem is important, explain the financial cost the business will suffer if the problem goes unsolved, and back your statement up with data. For more advice on how to propose a solution, including how to explain your solution in concrete concepts, read on! Did this summary help you? Yes No

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  • How to Write a Problem Statement for your Research

busayo.longe

Every research starts with identifying a problem which is usually an existing gap in your field of study. Once you do this, the next step is to craft a statement of the problem that captures this issue and how you plan to resolve it. A statement of problem forms the basis of every systematic investigation. 

Seeing as a problem statement forms the core of your research, it makes sense to know how to write an effective one. So how do you go about this? First, you need to get acquainted with the features of a good problem statement plus its elements and structure. 

Use this guide to know how to write an effective statement of the problem for your systematic investigation. 

What is the Statement of the Problem in Research?

A statement of problem refers to the critical issue that your research seeks to address. In other words, it captures the existing knowledge gap that your study aims to bridge using reliable results or outcomes. A problem statement can be as little as a few sentences or go all the way to several paragraphs—what matters is it communicates the central focus of your study. 

As your study bridges this gap, it also leaves room for future investigations. The implication is that your problem statement should not be too broad; instead, it should address one specific issue and contribute to the knowledge pool for further research. 

Use for Free: Research Form Templates

What are the Features of a Good Problem Statement?  

A good problem statement captures the core purpose of your study in simple, clear, and direct terms. Some other tell-tale signs of a well-written research statement of problem include: 

  • A good problem statement is concrete and concise. It doesn’t capture ideas vaguely or ambiguously.
  • It allows you to contextualize the research problem.
  • A good problem statement helps you to set the aims and objectives of your systematic investigation. 
  • It justifies your research and draws attention to the study’s significance. 

Why is a Problem Statement Important in Research Writing?

Writing a good problem statement serves both the researcher and the readers. For the researcher, the problem statement helps you visualize the scope of your project and outline it accordingly. Also, it allows you to map out specific aims and objectives for your study. 

On the flip side, the problem statement helps the reader identify the core reason for your research and see how your work fits into the existing body of knowledge. It helps them get on the same page as you regarding the importance and significance of your systematic investigation. 

If you require funding for your research, a problem statement can help potential financiers to see why investing in your project is the right move to make. It gives them an overview of the existing problem, your solution, and the impact of your solution on the field of study. 

Elements and Structure of a Problem Statement

In its most basic form, a problem statement comprises three(3) elements which are: 

  • The research problem
  • The claim or working thesis
  • The significance of the study

In other words, it tells the reader what you’re trying to solve, how you plan to solve it, and why you want to solve it. 

1. The Research Problem

Your research problem is the reason for your systematic investigation. It is the gap you identified and planned to fill based on the results of your study. You can also think of this as the primary research question. 

A few questions you should ask yourself here include: 

  • Is it clear what’s being described in this problem statement?
  • Do I understand the main problem being described here?
  • Do I have a good grasp of what the main issue is here?

2. The Claim or Working Thesis 

Your working thesis is the first attempt at asserting your position, and it spells out your stance on the matter at a specific point in time. It’s called a “working” thesis because it is subject to change as your study progresses. In your working thesis, you have the chance to justify your position by providing primary and secondary claims that support your position. 

3. The Significance of the Study 

This is the point where you communicate the value of your research and show readers why it is necessary in the first place. Here, you can discuss the impact of your work and its relevance to your field of study. Don’t forget to highlight the contributions of your work to existing knowledge and how others will benefit from it. 

Read: Research Report: Definition, Types + [Writing Guide]

What is the Difference Between a Thesis Statement and a Problem Statement? 

A problem statement focuses on the specific issue you’ve identified and hope to resolve with your research. It comprises the research problem, claim, or working statement and the significance of your research. On the other hand, a thesis statement makes a specific claim or assertion open for debate. 

For example, the statement “writing is more of a science than an art” is an excellent example of a thesis statement because it proposes an idea that may be true or false. Once you establish the thesis statement for your research, you are expected to provide evidence and build a strong argument that supports this claim.

What are the Steps for Writing a Problem Statement? 

  • Define Your Research Context 
  • State Why The Problem Matters 
  • State the Financial Cost
  • Back Up Your Claims
  • Propose A Solution
  • Conclude By Summarizing the Problem and Solution

1. Define Your Research Context 

The first thing you need to do is build a solid context that makes it easier for readers to understand the problem. A hack for this is to describe an ideal world where the problem doesn’t exist. In other words, help your readers to visualize how different things would be if they didn’t have to deal with this problem in the first place. 

For example, if you’re researching the rise in the number of train accidents in London, start by describing how the process would function if the current problem didn’t exist. When you’ve done this, you can refer to the research problem at the end of your explanation. 

2. State Why the Problem Matters

You should let readers in on why the problem matters and why you must address it at this point. In other words, answer the question, “why is it important that we fix this particular problem?” What difference would it make? 

Your job here is to show the reader why your research problem is the biggest elephant in the room. You may also consider including what attempts have already been made to solve the problem and why they didn’t work out. 

3. State the Financial Cost

If there’s a financial implication of not fixing the problem, then it’s a good idea to state it here. This is more useful if you’re pitching for funding for your research. 

4. Back Up Your Claims

It’s not enough to say that the problem has some negative impact on other people or your organization; you must back up all of these claims with well-researched data. This is the point where you pull up information from relevant secondary data sources and reference them in your work. 

5. Proffer a Solution

Now that we know the problem, the next question is, “what can be done about it”? To answer this, you need to propose a practical solution to the research problem. Take time to demonstrate why this is the most pragmatic solution and why it will work. More importantly, focus on the impact of your solution and hint at its benefits. 

6. Conclude By Summarizing the Problem and Solution

Your conclusion should consist of the problem, why it needs to be fixed, and a summarized argument of why your solution is the best answer to the problem.

Sample Problem Statement 

Problem : The use of hard drugs amongst teenagers in the District of Columbia has increased significantly over the past decade. 

Background : According to the Drug Abuse Statistics Organization data, 50% of teenagers have misused a drug at least once. Teenagers in the District of Columbia are 11.94% more likely to have used drugs in the last month than the average American teen. Existing data shows that this is a significant problem but fails to address the root causes of rising teenage drug abuse in the state. Therefore, more research is required to identify why teenagers in Colombia abuse drugs and proffer solutions to this menace. 

Relevance : Young people who abuse drugs expose themselves to many risks, including life-threatening conditions and mental health-related problems. Drug abuse can impact the brain’s ability to function in the short term and prevent proper growth and development in the long term. Data shows that teenagers who use hard drugs are more likely to be disillusioned. Addressing this problem will give concerned parties the much-needed insights to help them curtail drug abuse. 

Objectives : This research aims to identify the root causes of teenage drug abuse and map out actionable solutions to address this. 

Mistakes to Avoid when Writing Problem Statements  

A good problem statement sets the tone for the rest of your dissertation, so you want to get it right. That said, here are some things you should have at the back of your mind as you craft a problem statement for your research paper. 

1. Make sure your problem statement is straight to the point. Every sentence should reinforce the importance of your study. 

2. Narrow the scope of your problem statement.

3. Avoid unnecessary jargon and highly technical language.

4. Build a logical argument that will convince the reader

5. Emphasize the “why” of the problem 

FAQ About Writing a Statement of the Problem

How do you identify a research problem?

The best way to identify a research problem is to read through existing studies to discover any gaps in knowledge. You can also discover research problems by observing your environment and identifying any contradictions that exist among perspectives. 

Conclusion 

Whether you’re seeking funding for your research or approval from your professor, you need to write a well-defined statement of the problem. A problem statement allows you to pitch the core idea of your study and show others why it is worth being addressed. It should draw attention to the core idea of your research, and convince others to invest in your systematic investigation. 

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  • Section 1: Home
  • Narrowing Your Topic

Defining The Problem Statement

How to write the problem statement.

  • Purpose Statement
  • Conceptual Framework
  • Avoiding Common Mistakes
  • Synthesis and Analysis in Writing Support This link opens in a new window
  • Qualitative Research Questions This link opens in a new window
  • Quantitative Research Questions This link opens in a new window
  • Qualitative & Quantitative Research Support with the ASC This link opens in a new window
  • Library Research Consultations This link opens in a new window
  • Library Guide: Research Process This link opens in a new window
  • ASC Guide: Outlining and Annotating This link opens in a new window
  • Library Guide: Organizing Research & Citations This link opens in a new window
  • Library Guide: RefWorks This link opens in a new window
  • Library Guide: Copyright Information This link opens in a new window

Problem Statement 

The problem needs to be very focused because everything else from the applied doctoral project or dissertation-in-practice logically flows from the problem. If the problem is too big or too vague, it will be difficult to scope out a purpose that is manageable, given the time to execute and finish the project. The problem should be the result of a practical need or an opportunity to further an applicational study or project.

Given the above, the problem statement should do four things: 

Specify and describe the problem (with appropriate citations) 

Provide evidence of the problem’s existence  

Explain the consequences of NOT solving the problem  

Identify what is not known about the problem that should be known.

What is a problem?

Example of a proper, specific, evidence-based, real-life problem: , evidence-based, what are consequences.

Consequences are negative implications experienced by a group of people, organization, profession, or industry as a result of the problem. The negative effects should be of a certain magnitude to warrant research. For example, if fewer than 1% of the stakeholders experience a negative consequence of a problem and that consequence only constitutes a minor inconvenience, research is probably not warranted. Negative consequences that can be measured weigh stronger than those that cannot be put on some kind of scale. 

In the example above, a significant negative consequence is that women face much larger barriers than men when attempting to get promoted to executive jobs; or are 94% less likely than men to get to that level in Corporate America. 

While a problem may be referred to as a gap in traditional research, in a doctoral project or dissertation-in-practice, the problem could be a statement of the situational condition that requires a scholar-practitioner approach. For the applied degree, this may be the part of the program or procedure that is not working. 

NOTE: The applied doctoral project or dissertation-in-practice includes checklists for all sections of the document, including problem statement, purpose statement, and research questions. You should make sure you use these checklists and follow margin instructions. The present document is intended to provide additional help and examples, and also explain the importance of alignment. Alignment enables you to ensure consistency in your language and presentation of information, as well as provide a logical flow of your narrative.

Resource: Ellis, T., & Levy, Y. (2008). Framework of problem-based research: A guide for novice researchers on the development of a research-worthy problem. Informing Science , 11, 17-33.  http://proxy1.ncu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&db= a9h&AN=36030721&site=eds-live  

  • PDF Template

Option 1: Writing the Problem Statement

Do not exceed 250-300 words.

It is helpful to begin the problem statement with a sentence:  “The problem to be addressed through this project  is…”

Paragraph 1

The problem should be evidenced-based and focus on practice within your perspective field or domain.  Then, fill out the rest of the paragraph with an elaboration of that specific problem, making sure to “document” it, as your doctoral committee will look for evidence that it is indeed a problem (emphasis also on the timeliness of the problem, supported by citations within the last 5 years).  Identify the negative consequences that are occurring as a result of the problem.

Paragraph 2

Next, write a paragraph explaining the consequences of NOT solving the problem. Who will be affected? How will they be affected? How important is it to fix the problem? Again, your doctoral committee will want to see research-based citations and statistics that indicate the negative implications are significant. 

Paragraph 3

In the final paragraph, you will explain what is not known that should be known. What isn’t known about the problem? Presumably, if your problem and purpose are aligned, your research will try to close or minimize this gap by investigating the problem. Have other practitioners investigated the issue? What has their research left unanswered? 

Option 2: Writing the Problem Statement

Another way to tackle the statement of the problem: .

The Statement of the Problem section is a very clear, concise identification of the problem. It must stay within the template guidelines of 250-300 words but more importantly, must contain four elements as outlined below.

A worthy problem should be able to address all of the following points: 

  • identification of the problem itself--what is "going wrong" (Ellis & Levy, 2008) 
  • who is affected by the problem 
  • the consequences that will result from a continuation of the problem 
  • a brief discussion of 
  • at least 3 authors’ research related to the problem; and 
  • their stated suggestion/recommendation for further research related to the problem 

Use the following to work on the Statement of the Problem by first outlining the section as follows: 

One clear, concise statement that tells the reader what is not working in the profession or industry. Be specific and support it with current studies. 

Tell who is affected by the problem identified in #1. 

Briefly tell what will happen if the problem isn’t addressed. 

Find at least 3 current studies and write a sentence or two for each study that 

  • briefly discusses the author(s)’ work, what they studied, and 
  • state their recommendation for further insight or exploration about the problem 

Option 3: Writing the Problem Statement

Finally, you can follow this simple 3-part outline when writing the statement of the problem section.

Your problem statement is a short (250-300 words), 3 paragraph section, in which you:

Context 1. Explain context and state problem (“the problem is XYZ”), supported by statistics,and/or recent research findings, and/or the profession or industry. 
Consequence 2. Explain the negative consequences of the problem to stakeholders, supported by statistics and/or recent research findings and/or the profession or industry.
Gap 3. Explain the gap in the research, or the part of the program or procedure that is not efficient 

Example of a problem statement that follows this 3-part outline (295 words):  

The problem to be addressed by this study is the decline of employee well-being for followers of novice mid-level managers and the corresponding rise in employee turnover faced by business leaders across the financial services industry (Oh et al., 2014).  Low levels of employee well-being are toxic for morale and result in expensive turnover costs, dysfunctional work environments, anemic corporate cultures, and poor customer service (Compdata, 2018; Oh et al., 2014).  According to Ufer (2017), the financial services industry suffers from one of the highest turnover rates among millennial-aged employees in all industries in the developed world, at 18.6% annually.  Starkman (2015) reported that 50% of those surveyed in financial services were not satisfied with a single one of the four key workplace aspects: job, firm, pay or career path. 
Low levels of employee well-being interrupt a financial services’ company’s ability to deliver outstanding customer service in a world increasingly dependent on that commodity (Wladawsky-Berger, 2018). Mid-level managers play an essential role in support of the success of many of top businesses today (Anicich & Hirsh, 2017).
The current body of literature does not adequately address the well-being issue in the financial services industry from the follower’s perspective (Uhl-Bien, Riggio, Lowe, & Carsten, 2014). Strategic direction flows top-down from senior executives and passes through mid-level leadership to individual contributors at more junior grades.  The mid-level managers’ teams are tasked with the achievement of core tasks and the managers themselves are expected to maintain the workforce’s morale, motivation and welfare (Anicich & Hirsh, 2017).  Unless industry leaders better understand the phenomenon of employee well-being from the follower perspective and its role in positioning employees to provide a premium client experience, they may be handicapped from preserving their most significant principal market differentiator: customer service (Wladawsky-Berger, 2018).   
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R S T I Chapter 2: THE NATURE OF MATHEMATICS

 

P R

Mathematics is the science of patterns and relationships. As a theoretical discipline, mathematics explores the possible relationships among abstractions without concern for whether those abstractions have counterparts in the real world. The abstractions can be anything from strings of numbers to geometric figures to sets of equations. In addressing, say, "Does the interval between prime numbers form a pattern?" as a theoretical question, mathematicians are interested only in finding a pattern or proving that there is none, but not in what use such knowledge might have. In deriving, for instance, an expression for the change in the surface area of any regular solid as its volume approaches zero, mathematicians have no interest in any correspondence between geometric solids and physical objects in the real world.

A central line of investigation in theoretical mathematics is identifying in each field of study a small set of basic ideas and rules from which all other interesting ideas and rules in that field can be logically deduced. Mathematicians, like other scientists, are particularly pleased when previously unrelated parts of mathematics are found to be derivable from one another, or from some more general theory. Part of the sense of beauty that many people have perceived in mathematics lies not in finding the greatest elaborateness or complexity but on the contrary, in finding the greatest economy and simplicity of representation and proof. As mathematics has progressed, more and more relationships have been found between parts of it that have been developed separately—for example, between the symbolic representations of algebra and the spatial representations of geometry. These cross-connections enable insights to be developed into the various parts; together, they strengthen belief in the correctness and underlying unity of the whole structure.

Mathematics is also an applied science. Many mathematicians focus their attention on solving problems that originate in the world of experience. They too search for patterns and relationships, and in the process they use techniques that are similar to those used in doing purely theoretical mathematics. The difference is largely one of intent. In contrast to theoretical mathematicians, applied mathematicians, in the examples given above, might study the interval pattern of prime numbers to develop a new system for coding numerical information, rather than as an abstract problem. Or they might tackle the area/volume problem as a step in producing a model for the study of crystal behavior.

The results of theoretical and applied mathematics often influence each other. The discoveries of theoretical mathematicians frequently turn out—sometimes decades later—to have unanticipated practical value. Studies on the mathematical properties of random events, for example, led to knowledge that later made it possible to improve the design of experiments in the social and natural sciences. Conversely, in trying to solve the problem of billing long-distance telephone users fairly, mathematicians made fundamental discoveries about the mathematics of complex networks. Theoretical mathematics, unlike the other sciences, is not constrained by the real world, but in the long run it contributes to a better understanding of that world.

 

S , T

Because of its abstractness, mathematics is universal in a sense that other fields of human thought are not. It finds useful applications in business, industry, music, historical scholarship, politics, sports, medicine, agriculture, engineering, and the social and natural sciences. The relationship between mathematics and the other fields of basic and applied science is especially strong. This is so for several reasons, including the following:

= is not simply a shorthand way of saying that the acceleration of an object depends on the force applied to it and its mass; rather, it is a precise statement of the quantitative relationship among those variables. More important, mathematics provides the grammar of science—the rules for analyzing scientific ideas and data rigorously.

 

I

Using mathematics to express ideas or to solve problems involves at least three phases: (1) representing some aspects of things abstractly, (2) manipulating the abstractions by rules of logic to find new relationships between them, and (3) seeing whether the new relationships say something useful about the original things.

Mathematical thinking often begins with the process of abstraction—that is, noticing a similarity between two or more objects or events. Aspects that they have in common, whether concrete or hypothetical, can be represented by symbols such as numbers, letters, other marks, diagrams, geometrical constructions, or even words. Whole numbers are abstractions that represent the size of sets of things and events or the order of things within a set. The circle as a concept is an abstraction derived from human faces, flowers, wheels, or spreading ripples; the letter A may be an abstraction for the surface area of objects of any shape, for the acceleration of all moving objects, or for all objects having some specified property; the symbol + represents a process of addition, whether one is adding apples or oranges, hours, or miles per hour. And abstractions are made not only from concrete objects or processes; they can also be made from other abstractions, such as kinds of numbers (the even numbers, for instance).

Such abstraction enables mathematicians to concentrate on some features of things and relieves them of the need to keep other features continually in mind. As far as mathematics is concerned, it does not matter whether a triangle represents the surface area of a sail or the convergence of two lines of sight on a star; mathematicians can work with either concept in the same way. The resulting economy of effort is very useful—provided that in making an abstraction, care is taken not to ignore features that play a significant role in determining the outcome of the events being studied.

After abstractions have been made and symbolic representations of them have been selected, those symbols can be combined and recombined in various ways according to precisely defined rules. Sometimes that is done with a fixed goal in mind; at other times it is done in the context of experiment or play to see what happens. Sometimes an appropriate manipulation can be identified easily from the intuitive meaning of the constituent words and symbols; at other times a useful series of manipulations has to be worked out by trial and error.

Typically, strings of symbols are combined into statements that express ideas or propositions. For example, the symbol for the area of any square may be used with the symbol for the length of the square's side to form the proposition = . This equation specifies how the area is related to the side—and also implies that it depends on nothing else. The rules of ordinary algebra can then be used to discover that if the length of the sides of a square is doubled, the square's area becomes four times as great. More generally, this knowledge makes it possible to find out what happens to the area of a square no matter how the length of its sides is changed, and conversely, how any change in the area affects the sides.

Mathematical insights into abstract relationships have grown over thousands of years, and they are still being extended—and sometimes revised. Although they began in the concrete experience of counting and measuring, they have come through many layers of abstraction and now depend much more on internal logic than on mechanical demonstration. In a sense, then, the manipulation of abstractions is much like a game: Start with some basic rules, then make any moves that fit those rules—which includes inventing additional rules and finding new connections between old rules. The test for the validity of new ideas is whether they are consistent and whether they relate logically to the other rules.

Mathematical processes can lead to a kind of model of a thing, from which insights can be gained about the thing itself. Any mathematical relationships arrived at by manipulating abstract statements may or may not convey something truthful about the thing being modeled. For example, if 2 cups of water are added to 3 cups of water and the abstract mathematical operation 2+3 = 5 is used to calculate the total, the correct answer is 5 cups of water. However, if 2 cups of sugar are added to 3 cups of hot tea and the same operation is used, 5 is an incorrect answer, for such an addition actually results in only slightly more than 4 cups of very sweet tea. The simple addition of volumes is appropriate to the first situation but not to the second—something that could have been predicted only by knowing something of the physical differences in the two situations. To be able to use and interpret mathematics well, therefore, it is necessary to be concerned with more than the mathematical validity of abstract operations and to also take into account how well they correspond to the properties of the things represented.

Sometimes common sense is enough to enable one to decide whether the results of the mathematics are appropriate. For example, to estimate the height 20 years from now of a girl who is 5' 5" tall and growing at the rate of an inch per year, common sense suggests rejecting the simple "rate times time" answer of 7' 1" as highly unlikely, and turning instead to some other mathematical model, such as curves that approach limiting values. Sometimes, however, it may be difficult to know just how appropriate mathematical results are—for example, when trying to predict stock-market prices or earthquakes.

Often a single round of mathematical reasoning does not produce satisfactory conclusions, and changes are tried in how the representation is made or in the operations themselves. Indeed, jumps are commonly made back and forth between steps, and there are no rules that determine how to proceed. The process typically proceeds in fits and starts, with many wrong turns and dead ends. This process continues until the results are good enough.

But what degree of accuracy is good enough? The answer depends on how the result will be used, on the consequences of error, and on the likely cost of modeling and computing a more accurate answer. For example, an error of 1 percent in calculating the amount of sugar in a cake recipe could be unimportant, whereas a similar degree of error in computing the trajectory for a space probe could be disastrous. The importance of the "good enough" question has led, however, to the development of mathematical processes for estimating how far off results might be and how much computation would be required to obtain the desired degree of accuracy.

Copyright © 1989, 1990 by American Association for the Advancement of Science

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  2. Statement of the Problem in Research Examples & Tips

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  3. Research Problem Statement Examples

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  4. How to Write a Problem Statement In a Research Paper

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  6. How To Write A Statement Of A Problem In Research

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  1. 06. Op-Amp Mathematics Problem Solution -05

  2. Problem Statement in Research Proposal

  3. How to Write a Problem Statement (Example Provided)

  4. Chapter 1: Project Writing

  5. Research, Definition, Research Problem Identification, Sources of Research Problem

  6. Formulating the Research Questions (STATEMENT OF THE PROBLEM)

COMMENTS

  1. Different mathematical solving methods can affect how information is

    When solving a mathematical problem, it is possible to appeal to the ordinal property of numbers, i.e. the fact that they are ordered, or to their cardinal property, i.e. the fact that they ...

  2. How to Write a Problem Statement

    Step 3: Set your aims and objectives. Finally, the problem statement should frame how you intend to address the problem. Your goal here should not be to find a conclusive solution, but rather to propose more effective approaches to tackling or understanding it. The research aim is the overall purpose of your research.

  3. The Research Problem & Problem Statement

    A research problem can be theoretical in nature, focusing on an area of academic research that is lacking in some way. Alternatively, a research problem can be more applied in nature, focused on finding a practical solution to an established problem within an industry or an organisation. In other words, theoretical research problems are motivated by the desire to grow the overall body of ...

  4. How to Write a Problem Statement for a Research

    To effectively write a research problem statement, follow these steps: Begin by pinpointing the broad field or subject area that captures your interest. Narrow down this general area to a particular issue or challenge that needs attention. Provide context by explaining why the problem is important and what gap in current knowledge it addresses.

  5. How to Write a Problem Statement in Research with Examples

    Establish the relevance of this research. The problem statement also needs to clearly state why the current research matters, or why future work matters if you are writing a research proposal. Ask yourself (and tell your readers) what will happen if the problem continues and who will feel the consequences the most.

  6. What is a Problem Statement in Research? How to Write It with Examples

    A research problem statement is the descriptive statement which conveys the issue a researcher is trying to address through the study with the aim of informing the reader the context and significance of performing the study at hand. The research problem statement is crucial for researchers to focus on a particular component of a vast field of ...

  7. How to Write an Effective Problem Statement

    Clarify what you aim to achieve with your research. Explore why the problem exists and explain how solving it helps reach the goal. Outline the potential impact of the research, such as possible outcomes, challenges, and benefits. Recommend a plan for your experiment that follows the rules of science. Explain the potential consequences if the ...

  8. The basics of writing a statement of the problem for your research

    A statement of the problem is used in research work as a claim that outlines the problem addressed by a study. A good research problem should address an existing gap in knowledge in the field and lead to further research. To write a persuasive problem statement, you need to describe (a) the ideal, (b), the reality, and (c) the consequences.

  9. LibGuides: Research Writing and Analysis: Problem Statement

    Here is one way to construct a problem section (keep in mind you have a 250-300 word limit, but you can write first and edit later): It is helpful to begin the problem statement with a sentence: "The problem to be addressed through this study is…". Then, fill out the rest of the paragraph with elaboration of that specific problem, making ...

  10. Writing Strong Research Questions

    A good research question is essential to guide your research paper, dissertation, or thesis. All research questions should be: Focused on a single problem or issue. Researchable using primary and/or secondary sources. Feasible to answer within the timeframe and practical constraints. Specific enough to answer thoroughly.

  11. Statement of the problem

    Key takeaways. A problem statement is a succinct explanation of a problem or concern that a research study seeks to address. A problem statement aims to offer a detailed method for problem solving and provides recommendations on how the problem can be avoided in the future. The aim of a research study is the rationale behind the study.

  12. Problem Statement

    Here are some general steps to follow when writing a problem statement: Identify the problem: Clearly identify the problem that needs to be addressed. Consider the context, stakeholders, and potential consequences of the problem. Research the problem: Conduct research to gather data and information about the problem.

  13. How to write the problem statement for your research

    Defining the 'problem'. The research question should be compelling and must have an underlying basis. While formulating the problem statement, as a keen researcher, you should consider the current state of the topic in question, along with any other observations or educated guesses. As you are defining the 'problem' that you are ...

  14. How to Write a Problem Statement

    Step 3: Set your aims and objectives. Finally, the problem statement should frame how you intend to address the problem. Your goal here should not be to find a conclusive solution, but rather to propose more effective approaches to tackling or understanding it. The research aim is the overall purpose of your research.

  15. How to Write a Statement of the Problem in Research

    The problem statement is a foundation of academic research writing, providing a precise representation of an existing gap or issue in a particular field of study.. Crafting a sharp and focused problem statement lays the groundwork for your research project. It highlights the research's significance.; Emphasizes its potential to influence the broader academic community.

  16. PDF Chapter 1 Introduction, Problem Statement and Outline of The Study

    The two main research methods that will be used to achieve the objectives of this study are outlined in Figure 1. Each method is briefly described in the following sections. In most cases the first phase of postgraduate research methodology is to conduct a review of the literature that is relevant to the research area (a non-empirical study).

  17. Statement of the Problem

    But all problem statements follow a similar process. Step 1: Contextualize the problem. The problem statement should frame your research problem in its particular context and give some background on what is already known about it. Practical research problems. For practical research, focus on the concrete details of the situation:

  18. What is a Research Problem? Characteristics, Types, and Examples

    A research problem is a gap in existing knowledge, a contradiction in an established theory, or a real-world challenge that a researcher aims to address in their research. It is at the heart of any scientific inquiry, directing the trajectory of an investigation. The statement of a problem orients the reader to the importance of the topic, sets ...

  19. How do I write the significance of the study and the problem statement

    The problem statement, very briefly, has to cover three aspects: the existing situation regarding the problem (you could provide relevant statistics as needed), the desired or ideal situation regarding the problem (benefits to both radiographers and geriatric patients), and how your study will provide answers or solutions to help attain this ...

  20. How to Write a Research Problem Statement

    A research problem statement typically includes the following elements: 1. The research topic: The general area of interest or field of study that the research project addresses. 2. The specific problem or issue: A clear and concise statement of the problem or issue that the research project aims to address. 3.

  21. How to Write a Problem Statement (with Pictures)

    6. Use a formal voice. Problem statements are almost always used for serious proposals and projects. Because of this, you'll want to use a formal, dignified writing style (the same as the style hopefully used for the body of the document) in the problem statement. Keep your writing clear, plain, and direct.

  22. How to Write a Problem Statement for your Research

    That said, here are some things you should have at the back of your mind as you craft a problem statement for your research paper. 1. Make sure your problem statement is straight to the point. Every sentence should reinforce the importance of your study. 2. Narrow the scope of your problem statement.

  23. Problem Statement

    The problem should be the result of a practical need or an opportunity to further an applicational study or project. Given the above, the problem statement should do four things: Specify and describe the problem (with appropriate citations) Provide evidence of the problem's existence. Explain the consequences of NOT solving the problem.

  24. Chapter 2: The Nature of Mathematics

    M ATHEMATICAL I NQUIRY. Chapter 2: THE NATURE OF MATHEMATICS. Mathematics relies on both logic and creativity, and it is pursued both for a variety of practical purposes and for its intrinsic interest. For some people, and not only professional mathematicians, the essence of mathematics lies in its beauty and its intellectual challenge.