• Bipolar Disorder
  • Therapy Center
  • When To See a Therapist
  • Types of Therapy
  • Best Online Therapy
  • Best Couples Therapy
  • Best Family Therapy
  • Managing Stress
  • Sleep and Dreaming
  • Understanding Emotions
  • Self-Improvement
  • Healthy Relationships
  • Student Resources
  • Personality Types
  • Guided Meditations
  • Verywell Mind Insights
  • 2023 Verywell Mind 25
  • Mental Health in the Classroom
  • Editorial Process
  • Meet Our Review Board
  • Crisis Support

Overview of the Problem-Solving Mental Process

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

what is problem solving in research

Rachel Goldman, PhD FTOS, is a licensed psychologist, clinical assistant professor, speaker, wellness expert specializing in eating behaviors, stress management, and health behavior change.

what is problem solving in research

  • Identify the Problem
  • Define the Problem
  • Form a Strategy
  • Organize Information
  • Allocate Resources
  • Monitor Progress
  • Evaluate the Results

Frequently Asked Questions

Problem-solving is a mental process that involves discovering, analyzing, and solving problems. The ultimate goal of problem-solving is to overcome obstacles and find a solution that best resolves the issue.

The best strategy for solving a problem depends largely on the unique situation. In some cases, people are better off learning everything they can about the issue and then using factual knowledge to come up with a solution. In other instances, creativity and insight are the best options.

It is not necessary to follow problem-solving steps sequentially, It is common to skip steps or even go back through steps multiple times until the desired solution is reached.

In order to correctly solve a problem, it is often important to follow a series of steps. Researchers sometimes refer to this as the problem-solving cycle. While this cycle is portrayed sequentially, people rarely follow a rigid series of steps to find a solution.

The following steps include developing strategies and organizing knowledge.

1. Identifying the Problem

While it may seem like an obvious step, identifying the problem is not always as simple as it sounds. In some cases, people might mistakenly identify the wrong source of a problem, which will make attempts to solve it inefficient or even useless.

Some strategies that you might use to figure out the source of a problem include :

  • Asking questions about the problem
  • Breaking the problem down into smaller pieces
  • Looking at the problem from different perspectives
  • Conducting research to figure out what relationships exist between different variables

2. Defining the Problem

After the problem has been identified, it is important to fully define the problem so that it can be solved. You can define a problem by operationally defining each aspect of the problem and setting goals for what aspects of the problem you will address

At this point, you should focus on figuring out which aspects of the problems are facts and which are opinions. State the problem clearly and identify the scope of the solution.

3. Forming a Strategy

After the problem has been identified, it is time to start brainstorming potential solutions. This step usually involves generating as many ideas as possible without judging their quality. Once several possibilities have been generated, they can be evaluated and narrowed down.

The next step is to develop a strategy to solve the problem. The approach used will vary depending upon the situation and the individual's unique preferences. Common problem-solving strategies include heuristics and algorithms.

  • Heuristics are mental shortcuts that are often based on solutions that have worked in the past. They can work well if the problem is similar to something you have encountered before and are often the best choice if you need a fast solution.
  • Algorithms are step-by-step strategies that are guaranteed to produce a correct result. While this approach is great for accuracy, it can also consume time and resources.

Heuristics are often best used when time is of the essence, while algorithms are a better choice when a decision needs to be as accurate as possible.

4. Organizing Information

Before coming up with a solution, you need to first organize the available information. What do you know about the problem? What do you not know? The more information that is available the better prepared you will be to come up with an accurate solution.

When approaching a problem, it is important to make sure that you have all the data you need. Making a decision without adequate information can lead to biased or inaccurate results.

5. Allocating Resources

Of course, we don't always have unlimited money, time, and other resources to solve a problem. Before you begin to solve a problem, you need to determine how high priority it is.

If it is an important problem, it is probably worth allocating more resources to solving it. If, however, it is a fairly unimportant problem, then you do not want to spend too much of your available resources on coming up with a solution.

At this stage, it is important to consider all of the factors that might affect the problem at hand. This includes looking at the available resources, deadlines that need to be met, and any possible risks involved in each solution. After careful evaluation, a decision can be made about which solution to pursue.

6. Monitoring Progress

After selecting a problem-solving strategy, it is time to put the plan into action and see if it works. This step might involve trying out different solutions to see which one is the most effective.

It is also important to monitor the situation after implementing a solution to ensure that the problem has been solved and that no new problems have arisen as a result of the proposed solution.

Effective problem-solvers tend to monitor their progress as they work towards a solution. If they are not making good progress toward reaching their goal, they will reevaluate their approach or look for new strategies .

7. Evaluating the Results

After a solution has been reached, it is important to evaluate the results to determine if it is the best possible solution to the problem. This evaluation might be immediate, such as checking the results of a math problem to ensure the answer is correct, or it can be delayed, such as evaluating the success of a therapy program after several months of treatment.

Once a problem has been solved, it is important to take some time to reflect on the process that was used and evaluate the results. This will help you to improve your problem-solving skills and become more efficient at solving future problems.

A Word From Verywell​

It is important to remember that there are many different problem-solving processes with different steps, and this is just one example. Problem-solving in real-world situations requires a great deal of resourcefulness, flexibility, resilience, and continuous interaction with the environment.

Get Advice From The Verywell Mind Podcast

Hosted by therapist Amy Morin, LCSW, this episode of The Verywell Mind Podcast shares how you can stop dwelling in a negative mindset.

Follow Now : Apple Podcasts / Spotify / Google Podcasts

You can become a better problem solving by:

  • Practicing brainstorming and coming up with multiple potential solutions to problems
  • Being open-minded and considering all possible options before making a decision
  • Breaking down problems into smaller, more manageable pieces
  • Asking for help when needed
  • Researching different problem-solving techniques and trying out new ones
  • Learning from mistakes and using them as opportunities to grow

It's important to communicate openly and honestly with your partner about what's going on. Try to see things from their perspective as well as your own. Work together to find a resolution that works for both of you. Be willing to compromise and accept that there may not be a perfect solution.

Take breaks if things are getting too heated, and come back to the problem when you feel calm and collected. Don't try to fix every problem on your own—consider asking a therapist or counselor for help and insight.

If you've tried everything and there doesn't seem to be a way to fix the problem, you may have to learn to accept it. This can be difficult, but try to focus on the positive aspects of your life and remember that every situation is temporary. Don't dwell on what's going wrong—instead, think about what's going right. Find support by talking to friends or family. Seek professional help if you're having trouble coping.

Davidson JE, Sternberg RJ, editors.  The Psychology of Problem Solving .  Cambridge University Press; 2003. doi:10.1017/CBO9780511615771

Sarathy V. Real world problem-solving .  Front Hum Neurosci . 2018;12:261. Published 2018 Jun 26. doi:10.3389/fnhum.2018.00261

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

Book cover

Encyclopedia of the Sciences of Learning pp 2690–2693 Cite as

Problems: Definition, Types, and Evidence

  • Norbert M. Seel 2  
  • Reference work entry

2120 Accesses

1 Citations

Problem solving

A distinction can be made between “task” and “problem.” Generally, a task is a well-defined piece of work that is usually imposed by another person and may be burdensome. A problem is generally considered to be a task, a situation, or person which is difficult to deal with or control due to complexity and intransparency. In everyday language, a problem is a question proposed for solution, a matter stated for examination or proof. In each case, a problem is considered to be a matter which is difficult to solve or settle, a doubtful case, or a complex task involving doubt and uncertainty.

Theoretical Background

The nature of human problem solving has been studied by psychologists over the past hundred years. Beginning with the early experimental work of the Gestalt psychologists in Germany, and continuing through the 1960s and early 1970s, research on problem solving typically operated with relatively simple laboratory problems, such as Duncker’s...

This is a preview of subscription content, log in via an institution .

Buying options

  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
  • Available as EPUB and PDF
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Berry, D. C., & Broadbent, D. E. (1995). Implicit learning in the control of complex systems: A reconsideration of some of the earlier claims. In P. A. Frensch & J. Funke (Eds.), Complex problem solving: The European perspective (pp. 131–150). Hillsdale: Lawrence Erlbaum.

Google Scholar  

Broadbent, D. E. (1977). Levels, hierarchies, and the locus of control. Quarterly Journal of Experimental Psychology, 29 , 181–201.

Article   Google Scholar  

Dörner, D. (1976). Problemlösen als Informationsverarbeitung . Stuttgart: Kohlhammer (Problem solving as information processing).

Dörner, D., Kreuzig, H. W., Reither, F., & Stäudel, T. (1983). Lohhausen. Vom Umgang mit Unbestimmtheit und Komplexität [Lohhausen. The concern with uncertainty and complexity] . Bern: Huber.

Dörner, D. (1989). Die Logik des Misslingens . Hamburg: Rowohlt.

Funke, J. (1992). Wissen über dynamische Systeme: Erwerb, Repräsentation und Anwendung . Berlin: Springer.

Book   Google Scholar  

Funke, J., & Frensch, P. (1995). Complex problem solving research in North America and Europe: An integrative review. Foreign Psychology, 5 , 42–47.

Jonassen, D. H. (1997). Instructional design models for well-structured and ill-structured problem-solving learning outcomes. Educational Technology Research and Development, 45 (1), 65–94.

Newell, A., & Simon, H. A. (1972). Human problem solving . Englewood Cliffs: Prentice Hall.

Newell, A., Shaw, J. C., & Simon, H. A. (1959). A general problem-solving program for a computer. Computers and Automation, 8 (7), 10–16.

Download references

Author information

Authors and affiliations.

Department of Education, University of Freiburg, Rempartstr. 11, 3. OG, Freiburg, 79098, Germany

Prof. Norbert M. Seel ( Faculty of Economics and Behavioral Sciences )

You can also search for this author in PubMed   Google Scholar

Corresponding author

Correspondence to Norbert M. Seel .

Editor information

Editors and affiliations.

Faculty of Economics and Behavioral Sciences, Department of Education, University of Freiburg, 79085, Freiburg, Germany

Norbert M. Seel

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer Science+Business Media, LLC

About this entry

Cite this entry.

Seel, N.M. (2012). Problems: Definition, Types, and Evidence. In: Seel, N.M. (eds) Encyclopedia of the Sciences of Learning. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1428-6_914

Download citation

DOI : https://doi.org/10.1007/978-1-4419-1428-6_914

Publisher Name : Springer, Boston, MA

Print ISBN : 978-1-4419-1427-9

Online ISBN : 978-1-4419-1428-6

eBook Packages : Humanities, Social Sciences and Law

Share this entry

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

  • Publish with us

Policies and ethics

  • Find a journal
  • Track your research

Have a language expert improve your writing

Run a free plagiarism check in 10 minutes, generate accurate citations for free.

  • Knowledge Base
  • Starting the research process
  • How to Define a Research Problem | Ideas & Examples

How to Define a Research Problem | Ideas & Examples

Published on November 2, 2022 by Shona McCombes and Tegan George. Revised on May 31, 2023.

A research problem is a specific issue or gap in existing knowledge that you aim to address in your research. You may choose to look for practical problems aimed at contributing to change, or theoretical problems aimed at expanding knowledge.

Some research will do both of these things, but usually the research problem focuses on one or the other. The type of research problem you choose depends on your broad topic of interest and the type of research you think will fit best.

This article helps you identify and refine a research problem. When writing your research proposal or introduction , formulate it as a problem statement and/or research questions .

Table of contents

Why is the research problem important, step 1: identify a broad problem area, step 2: learn more about the problem, other interesting articles, frequently asked questions about research problems.

Having an interesting topic isn’t a strong enough basis for academic research. Without a well-defined research problem, you are likely to end up with an unfocused and unmanageable project.

You might end up repeating what other people have already said, trying to say too much, or doing research without a clear purpose and justification. You need a clear problem in order to do research that contributes new and relevant insights.

Whether you’re planning your thesis , starting a research paper , or writing a research proposal , the research problem is the first step towards knowing exactly what you’ll do and why.

Receive feedback on language, structure, and formatting

Professional editors proofread and edit your paper by focusing on:

  • Academic style
  • Vague sentences
  • Style consistency

See an example

what is problem solving in research

As you read about your topic, look for under-explored aspects or areas of concern, conflict, or controversy. Your goal is to find a gap that your research project can fill.

Practical research problems

If you are doing practical research, you can identify a problem by reading reports, following up on previous research, or talking to people who work in the relevant field or organization. You might look for:

  • Issues with performance or efficiency
  • Processes that could be improved
  • Areas of concern among practitioners
  • Difficulties faced by specific groups of people

Examples of practical research problems

Voter turnout in New England has been decreasing, in contrast to the rest of the country.

The HR department of a local chain of restaurants has a high staff turnover rate.

A non-profit organization faces a funding gap that means some of its programs will have to be cut.

Theoretical research problems

If you are doing theoretical research, you can identify a research problem by reading existing research, theory, and debates on your topic to find a gap in what is currently known about it. You might look for:

  • A phenomenon or context that has not been closely studied
  • A contradiction between two or more perspectives
  • A situation or relationship that is not well understood
  • A troubling question that has yet to be resolved

Examples of theoretical research problems

The effects of long-term Vitamin D deficiency on cardiovascular health are not well understood.

The relationship between gender, race, and income inequality has yet to be closely studied in the context of the millennial gig economy.

Historians of Scottish nationalism disagree about the role of the British Empire in the development of Scotland’s national identity.

Next, you have to find out what is already known about the problem, and pinpoint the exact aspect that your research will address.

Context and background

  • Who does the problem affect?
  • Is it a newly-discovered problem, or a well-established one?
  • What research has already been done?
  • What, if any, solutions have been proposed?
  • What are the current debates about the problem? What is missing from these debates?

Specificity and relevance

  • What particular place, time, and/or group of people will you focus on?
  • What aspects will you not be able to tackle?
  • What will the consequences be if the problem is not resolved?

Example of a specific research problem

A local non-profit organization focused on alleviating food insecurity has always fundraised from its existing support base. It lacks understanding of how best to target potential new donors. To be able to continue its work, the organization requires research into more effective fundraising strategies.

Once you have narrowed down your research problem, the next step is to formulate a problem statement , as well as your research questions or hypotheses .

Prevent plagiarism. Run a free check.

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

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

Research questions anchor your whole project, so it’s important to spend some time refining them.

In general, they should be:

  • Focused and researchable
  • Answerable using credible sources
  • Complex and arguable
  • Feasible and specific
  • Relevant and original

Your research objectives indicate how you’ll try to address your research problem and should be specific:

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.

Cite this Scribbr article

If you want to cite this source, you can copy and paste the citation or click the “Cite this Scribbr article” button to automatically add the citation to our free Citation Generator.

McCombes, S. & George, T. (2023, May 31). How to Define a Research Problem | Ideas & Examples. Scribbr. Retrieved April 16, 2024, from https://www.scribbr.com/research-process/research-problem/

Is this article helpful?

Shona McCombes

Shona McCombes

Other students also liked, how to write a problem statement | guide & examples, writing strong research questions | criteria & examples, how to write a strong hypothesis | steps & examples, unlimited academic ai-proofreading.

✔ Document error-free in 5minutes ✔ Unlimited document corrections ✔ Specialized in correcting academic texts

  • Subject List
  • Take a Tour
  • For Authors
  • Subscriber Services
  • Publications
  • African American Studies
  • African Studies
  • American Literature
  • Anthropology
  • Architecture Planning and Preservation
  • Art History
  • Atlantic History
  • Biblical Studies
  • British and Irish Literature
  • Childhood Studies
  • Chinese Studies
  • Cinema and Media Studies
  • Communication
  • Criminology
  • Environmental Science
  • Evolutionary Biology
  • International Law
  • International Relations
  • Islamic Studies
  • Jewish Studies
  • Latin American Studies
  • Latino Studies
  • Linguistics
  • Literary and Critical Theory
  • Medieval Studies
  • Military History
  • Political Science
  • Public Health
  • Renaissance and Reformation
  • Social Work
  • Urban Studies
  • Victorian Literature
  • Browse All Subjects

How to Subscribe

  • Free Trials

In This Article Expand or collapse the "in this article" section Problem Solving and Decision Making

Introduction.

  • General Approaches to Problem Solving
  • Representational Accounts
  • Problem Space and Search
  • Working Memory and Problem Solving
  • Domain-Specific Problem Solving
  • The Rational Approach
  • Prospect Theory
  • Dual-Process Theory
  • Cognitive Heuristics and Biases

Related Articles Expand or collapse the "related articles" section about

About related articles close popup.

Lorem Ipsum Sit Dolor Amet

Vestibulum ante ipsum primis in faucibus orci luctus et ultrices posuere cubilia Curae; Aliquam ligula odio, euismod ut aliquam et, vestibulum nec risus. Nulla viverra, arcu et iaculis consequat, justo diam ornare tellus, semper ultrices tellus nunc eu tellus.

  • Artificial Intelligence, Machine Learning, and Psychology
  • Counterfactual Reasoning
  • Critical Thinking
  • Heuristics and Biases
  • Protocol Analysis
  • Psychology and Law

Other Subject Areas

Forthcoming articles expand or collapse the "forthcoming articles" section.

  • Data Visualization
  • Remote Work
  • Workforce Training Evaluation
  • Find more forthcoming articles...
  • Export Citations
  • Share This Facebook LinkedIn Twitter

Problem Solving and Decision Making by Emily G. Nielsen , John Paul Minda LAST MODIFIED: 26 June 2019 DOI: 10.1093/obo/9780199828340-0246

Problem solving and decision making are both examples of complex, higher-order thinking. Both involve the assessment of the environment, the involvement of working memory or short-term memory, reliance on long term memory, effects of knowledge, and the application of heuristics to complete a behavior. A problem can be defined as an impasse or gap between a current state and a desired goal state. Problem solving is the set of cognitive operations that a person engages in to change the current state, to go beyond the impasse, and achieve a desired outcome. Problem solving involves the mental representation of the problem state and the manipulation of this representation in order to move closer to the goal. Problems can vary in complexity, abstraction, and how well defined (or not) the initial state and the goal state are. Research has generally approached problem solving by examining the behaviors and cognitive processes involved, and some work has examined problem solving using computational processes as well. Decision making is the process of selecting and choosing one action or behavior out of several alternatives. Like problem solving, decision making involves the coordination of memories and executive resources. Research on decision making has paid particular attention to the cognitive biases that account for suboptimal decisions and decisions that deviate from rationality. The current bibliography first outlines some general resources on the psychology of problem solving and decision making before examining each of these topics in detail. Specifically, this review covers cognitive, neuroscientific, and computational approaches to problem solving, as well as decision making models and cognitive heuristics and biases.

General Overviews

Current research in the area of problem solving and decision making is published in both general and specialized scientific journals. Theoretical and scholarly work is often summarized and developed in full-length books and chapter. These may focus on the subfields of problem solving and decision making or the larger field of thinking and higher-order cognition.

back to top

Users without a subscription are not able to see the full content on this page. Please subscribe or login .

Oxford Bibliographies Online is available by subscription and perpetual access to institutions. For more information or to contact an Oxford Sales Representative click here .

  • About Psychology »
  • Meet the Editorial Board »
  • Abnormal Psychology
  • Academic Assessment
  • Acculturation and Health
  • Action Regulation Theory
  • Action Research
  • Addictive Behavior
  • Adolescence
  • Adoption, Social, Psychological, and Evolutionary Perspect...
  • Advanced Theory of Mind
  • Affective Forecasting
  • Affirmative Action
  • Ageism at Work
  • Allport, Gordon
  • Alzheimer’s Disease
  • Ambulatory Assessment in Behavioral Science
  • Analysis of Covariance (ANCOVA)
  • Animal Behavior
  • Animal Learning
  • Anxiety Disorders
  • Art and Aesthetics, Psychology of
  • Assessment and Clinical Applications of Individual Differe...
  • Attachment in Social and Emotional Development across the ...
  • Attention-Deficit/Hyperactivity Disorder (ADHD) in Adults
  • Attention-Deficit/Hyperactivity Disorder (ADHD) in Childre...
  • Attitudinal Ambivalence
  • Attraction in Close Relationships
  • Attribution Theory
  • Authoritarian Personality
  • Bayesian Statistical Methods in Psychology
  • Behavior Therapy, Rational Emotive
  • Behavioral Economics
  • Behavioral Genetics
  • Belief Perseverance
  • Bereavement and Grief
  • Biological Psychology
  • Birth Order
  • Body Image in Men and Women
  • Bystander Effect
  • Categorical Data Analysis in Psychology
  • Childhood and Adolescence, Peer Victimization and Bullying...
  • Clark, Mamie Phipps
  • Clinical Neuropsychology
  • Clinical Psychology
  • Cognitive Consistency Theories
  • Cognitive Dissonance Theory
  • Cognitive Neuroscience
  • Communication, Nonverbal Cues and
  • Comparative Psychology
  • Competence to Stand Trial: Restoration Services
  • Competency to Stand Trial
  • Computational Psychology
  • Conflict Management in the Workplace
  • Conformity, Compliance, and Obedience
  • Consciousness
  • Coping Processes
  • Correspondence Analysis in Psychology
  • Counseling Psychology
  • Creativity at Work
  • Cross-Cultural Psychology
  • Cultural Psychology
  • Daily Life, Research Methods for Studying
  • Data Science Methods for Psychology
  • Data Sharing in Psychology
  • Death and Dying
  • Deceiving and Detecting Deceit
  • Defensive Processes
  • Depressive Disorders
  • Development, Prenatal
  • Developmental Psychology (Cognitive)
  • Developmental Psychology (Social)
  • Diagnostic and Statistical Manual of Mental Disorders (DSM...
  • Discrimination
  • Dissociative Disorders
  • Drugs and Behavior
  • Eating Disorders
  • Ecological Psychology
  • Educational Settings, Assessment of Thinking in
  • Effect Size
  • Embodiment and Embodied Cognition
  • Emerging Adulthood
  • Emotional Intelligence
  • Empathy and Altruism
  • Employee Stress and Well-Being
  • Environmental Neuroscience and Environmental Psychology
  • Ethics in Psychological Practice
  • Event Perception
  • Evolutionary Psychology
  • Expansive Posture
  • Experimental Existential Psychology
  • Exploratory Data Analysis
  • Eyewitness Testimony
  • Eysenck, Hans
  • Factor Analysis
  • Festinger, Leon
  • Five-Factor Model of Personality
  • Flynn Effect, The
  • Forensic Psychology
  • Forgiveness
  • Friendships, Children's
  • Fundamental Attribution Error/Correspondence Bias
  • Gambler's Fallacy
  • Game Theory and Psychology
  • Geropsychology, Clinical
  • Global Mental Health
  • Habit Formation and Behavior Change
  • Health Psychology
  • Health Psychology Research and Practice, Measurement in
  • Heider, Fritz
  • History of Psychology
  • Human Factors
  • Humanistic Psychology
  • Implicit Association Test (IAT)
  • Industrial and Organizational Psychology
  • Inferential Statistics in Psychology
  • Insanity Defense, The
  • Intelligence
  • Intelligence, Crystallized and Fluid
  • Intercultural Psychology
  • Intergroup Conflict
  • International Classification of Diseases and Related Healt...
  • International Psychology
  • Interviewing in Forensic Settings
  • Intimate Partner Violence, Psychological Perspectives on
  • Introversion–Extraversion
  • Item Response Theory
  • Law, Psychology and
  • Lazarus, Richard
  • Learned Helplessness
  • Learning Theory
  • Learning versus Performance
  • LGBTQ+ Romantic Relationships
  • Lie Detection in a Forensic Context
  • Life-Span Development
  • Locus of Control
  • Loneliness and Health
  • Mathematical Psychology
  • Meaning in Life
  • Mechanisms and Processes of Peer Contagion
  • Media Violence, Psychological Perspectives on
  • Mediation Analysis
  • Memories, Autobiographical
  • Memories, Flashbulb
  • Memories, Repressed and Recovered
  • Memory, False
  • Memory, Human
  • Memory, Implicit versus Explicit
  • Memory in Educational Settings
  • Memory, Semantic
  • Meta-Analysis
  • Metacognition
  • Metaphor, Psychological Perspectives on
  • Microaggressions
  • Military Psychology
  • Mindfulness
  • Mindfulness and Education
  • Minnesota Multiphasic Personality Inventory (MMPI)
  • Money, Psychology of
  • Moral Conviction
  • Moral Development
  • Moral Psychology
  • Moral Reasoning
  • Nature versus Nurture Debate in Psychology
  • Neuroscience of Associative Learning
  • Nonergodicity in Psychology and Neuroscience
  • Nonparametric Statistical Analysis in Psychology
  • Observational (Non-Randomized) Studies
  • Obsessive-Complusive Disorder (OCD)
  • Occupational Health Psychology
  • Olfaction, Human
  • Operant Conditioning
  • Optimism and Pessimism
  • Organizational Justice
  • Parenting Stress
  • Parenting Styles
  • Parents' Beliefs about Children
  • Path Models
  • Peace Psychology
  • Perception, Person
  • Performance Appraisal
  • Personality and Health
  • Personality Disorders
  • Personality Psychology
  • Phenomenological Psychology
  • Placebo Effects in Psychology
  • Play Behavior
  • Positive Psychological Capital (PsyCap)
  • Positive Psychology
  • Posttraumatic Stress Disorder (PTSD)
  • Prejudice and Stereotyping
  • Pretrial Publicity
  • Prisoner's Dilemma
  • Problem Solving and Decision Making
  • Procrastination
  • Prosocial Behavior
  • Prosocial Spending and Well-Being
  • Psycholinguistics
  • Psychological Literacy
  • Psychological Perspectives on Food and Eating
  • Psychology, Political
  • Psychoneuroimmunology
  • Psychophysics, Visual
  • Psychotherapy
  • Psychotic Disorders
  • Publication Bias in Psychology
  • Reasoning, Counterfactual
  • Rehabilitation Psychology
  • Relationships
  • Reliability–Contemporary Psychometric Conceptions
  • Religion, Psychology and
  • Replication Initiatives in Psychology
  • Research Methods
  • Risk Taking
  • Role of the Expert Witness in Forensic Psychology, The
  • Sample Size Planning for Statistical Power and Accurate Es...
  • Schizophrenic Disorders
  • School Psychology
  • School Psychology, Counseling Services in
  • Self, Gender and
  • Self, Psychology of the
  • Self-Construal
  • Self-Control
  • Self-Deception
  • Self-Determination Theory
  • Self-Efficacy
  • Self-Esteem
  • Self-Monitoring
  • Self-Regulation in Educational Settings
  • Self-Report Tests, Measures, and Inventories in Clinical P...
  • Sensation Seeking
  • Sex and Gender
  • Sexual Minority Parenting
  • Sexual Orientation
  • Signal Detection Theory and its Applications
  • Simpson's Paradox in Psychology
  • Single People
  • Single-Case Experimental Designs
  • Skinner, B.F.
  • Sleep and Dreaming
  • Small Groups
  • Social Class and Social Status
  • Social Cognition
  • Social Neuroscience
  • Social Support
  • Social Touch and Massage Therapy Research
  • Somatoform Disorders
  • Spatial Attention
  • Sports Psychology
  • Stanford Prison Experiment (SPE): Icon and Controversy
  • Stereotype Threat
  • Stereotypes
  • Stress and Coping, Psychology of
  • Student Success in College
  • Subjective Wellbeing Homeostasis
  • Taste, Psychological Perspectives on
  • Teaching of Psychology
  • Terror Management Theory
  • Testing and Assessment
  • The Concept of Validity in Psychological Assessment
  • The Neuroscience of Emotion Regulation
  • The Reasoned Action Approach and the Theories of Reasoned ...
  • The Weapon Focus Effect in Eyewitness Memory
  • Theory of Mind
  • Therapies, Person-Centered
  • Therapy, Cognitive-Behavioral
  • Thinking Skills in Educational Settings
  • Time Perception
  • Trait Perspective
  • Trauma Psychology
  • Twin Studies
  • Type A Behavior Pattern (Coronary Prone Personality)
  • Unconscious Processes
  • Video Games and Violent Content
  • Virtues and Character Strengths
  • Women and Science, Technology, Engineering, and Math (STEM...
  • Women, Psychology of
  • Work Well-Being
  • Wundt, Wilhelm
  • Privacy Policy
  • Cookie Policy
  • Legal Notice
  • Accessibility

Powered by:

  • [66.249.64.20|185.147.128.134]
  • 185.147.128.134

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • View all journals

Problem solving articles from across Nature Portfolio

Problem solving is the mental process of analyzing a situation, learning what options are available, and then choosing the alternative that will result in the desired outcome or some other selected goal.

Latest Research and Reviews

what is problem solving in research

States of epistemic curiosity interfere with memory for incidental scholastic facts

  • Nicole E. Keller
  • Carola Salvi
  • Joseph E. Dunsmoor

what is problem solving in research

Neurocognitive responses to spatial design behaviors and tools among interior architecture students: a pilot study

  • Yaren Şekerci
  • Mehmet Uğur Kahraman
  • Sevgi Şengül Ayan

what is problem solving in research

Association of executive function with suicidality based on resting-state functional connectivity in young adults with subthreshold depression

  • Je-Yeon Yun
  • Soo-Hee Choi
  • Joon Hwan Jang

what is problem solving in research

Spatially embedded recurrent neural networks reveal widespread links between structural and functional neuroscience findings

A fundamental question in neuroscience is what are the constraints that shape the structural and functional organization of the brain. By bringing biological cost constraints into the optimization process of artificial neural networks, Achterberg, Akarca and colleagues uncover the joint principle underlying a large set of neuroscientific findings.

  • Jascha Achterberg
  • Danyal Akarca
  • Duncan E. Astle

what is problem solving in research

Reverse effect of home-use binaural beats brain stimulation

  • Michal Klichowski
  • Andrzej Wicher
  • Roman Golebiewski

what is problem solving in research

Effect of situation similarity on younger and older adults’ episodic simulation of helping behaviours

  • A. Dawn Ryan
  • Ronald Smitko
  • Karen L. Campbell

Advertisement

News and Comment

Reliable social switch.

The macaque homologue of the dorsal medial prefrontal cortex tracks the reliability of social information and determines whether this information is used to guide choices during decision making.

  • Jake Rogers

what is problem solving in research

DishBrain plays Pong and promises more

An in vitro biological system of cultured brain cells has learned to play Pong. This feat opens up an avenue towards the convergence of biological and machine intelligence.

  • Joshua Goldwag

what is problem solving in research

Tinkering with tools leads to more success

  • Teresa Schubert

what is problem solving in research

Parallel processing of alternative approaches

Neuronal activity in the secondary motor cortex of mice engaged in a foraging task simultaneously represents multiple alternative decision-making strategies.

  • Katherine Whalley

Teaching of 21st century skills needs to be informed by psychological research

The technological advancements and globalization of the 21st century require a broad set of skills beyond traditional subjects such as mathematics, reading, and science. Research in psychological science should inform best practice and evidence-based recommendations for teaching these skills.

  • Samuel Greiff
  • Francesca Borgonovi

Simulated brain solves problems

Quick links.

  • Explore articles by subject
  • Guide to authors
  • Editorial policies

what is problem solving in research

  • USC Libraries
  • Research Guides

Organizing Your Social Sciences Research Paper

  • The Research Problem/Question
  • Purpose of Guide
  • Design Flaws to Avoid
  • Independent and Dependent Variables
  • Glossary of Research Terms
  • Reading Research Effectively
  • Narrowing a Topic Idea
  • Broadening a Topic Idea
  • Extending the Timeliness of a Topic Idea
  • Academic Writing Style
  • Applying Critical Thinking
  • Choosing a Title
  • Making an Outline
  • Paragraph Development
  • Research Process Video Series
  • Executive Summary
  • The C.A.R.S. Model
  • Background Information
  • Theoretical Framework
  • Citation Tracking
  • Content Alert Services
  • Evaluating Sources
  • Primary Sources
  • Secondary Sources
  • Tiertiary Sources
  • Scholarly vs. Popular Publications
  • Qualitative Methods
  • Quantitative Methods
  • Insiderness
  • Using Non-Textual Elements
  • Limitations of the Study
  • Common Grammar Mistakes
  • Writing Concisely
  • Avoiding Plagiarism
  • Footnotes or Endnotes?
  • Further Readings
  • Generative AI and Writing
  • USC Libraries Tutorials and Other Guides
  • Bibliography

A research problem is a definite or clear expression [statement] about an area of concern, a condition to be improved upon, a difficulty to be eliminated, or a troubling question that exists in scholarly literature, in theory, or within existing practice that points to a need for meaningful understanding and deliberate investigation. A research problem does not state how to do something, offer a vague or broad proposition, or present a value question. In the social and behavioral sciences, studies are most often framed around examining a problem that needs to be understood and resolved in order to improve society and the human condition.

Bryman, Alan. “The Research Question in Social Research: What is its Role?” International Journal of Social Research Methodology 10 (2007): 5-20; Guba, Egon G., and Yvonna S. Lincoln. “Competing Paradigms in Qualitative Research.” In Handbook of Qualitative Research . Norman K. Denzin and Yvonna S. Lincoln, editors. (Thousand Oaks, CA: Sage, 1994), pp. 105-117; Pardede, Parlindungan. “Identifying and Formulating the Research Problem." Research in ELT: Module 4 (October 2018): 1-13; Li, Yanmei, and Sumei Zhang. "Identifying the Research Problem." In Applied Research Methods in Urban and Regional Planning . (Cham, Switzerland: Springer International Publishing, 2022), pp. 13-21.

Importance of...

The purpose of a problem statement is to:

  • Introduce the reader to the importance of the topic being studied . The reader is oriented to the significance of the study.
  • Anchors the research questions, hypotheses, or assumptions to follow . It offers a concise statement about the purpose of your paper.
  • Place the topic into a particular context that defines the parameters of what is to be investigated.
  • Provide the framework for reporting the results and indicates what is probably necessary to conduct the study and explain how the findings will present this information.

In the social sciences, the research problem establishes the means by which you must answer the "So What?" question. This declarative question refers to a research problem surviving the relevancy test [the quality of a measurement procedure that provides repeatability and accuracy]. Note that answering the "So What?" question requires a commitment on your part to not only show that you have reviewed the literature, but that you have thoroughly considered the significance of the research problem and its implications applied to creating new knowledge and understanding or informing practice.

To survive the "So What" question, problem statements should possess the following attributes:

  • Clarity and precision [a well-written statement does not make sweeping generalizations and irresponsible pronouncements; it also does include unspecific determinates like "very" or "giant"],
  • Demonstrate a researchable topic or issue [i.e., feasibility of conducting the study is based upon access to information that can be effectively acquired, gathered, interpreted, synthesized, and understood],
  • Identification of what would be studied, while avoiding the use of value-laden words and terms,
  • Identification of an overarching question or small set of questions accompanied by key factors or variables,
  • Identification of key concepts and terms,
  • Articulation of the study's conceptual boundaries or parameters or limitations,
  • Some generalizability in regards to applicability and bringing results into general use,
  • Conveyance of the study's importance, benefits, and justification [i.e., regardless of the type of research, it is important to demonstrate that the research is not trivial],
  • Does not have unnecessary jargon or overly complex sentence constructions; and,
  • Conveyance of more than the mere gathering of descriptive data providing only a snapshot of the issue or phenomenon under investigation.

Bryman, Alan. “The Research Question in Social Research: What is its Role?” International Journal of Social Research Methodology 10 (2007): 5-20; Brown, Perry J., Allen Dyer, and Ross S. Whaley. "Recreation Research—So What?" Journal of Leisure Research 5 (1973): 16-24; Castellanos, Susie. Critical Writing and Thinking. The Writing Center. Dean of the College. Brown University; Ellis, Timothy J. and Yair Levy Nova. "Framework of Problem-Based Research: A Guide for Novice Researchers on the Development of a Research-Worthy Problem." Informing Science: the International Journal of an Emerging Transdiscipline 11 (2008); Thesis and Purpose Statements. The Writer’s Handbook. Writing Center. University of Wisconsin, Madison; Thesis Statements. The Writing Center. University of North Carolina; Tips and Examples for Writing Thesis Statements. The Writing Lab and The OWL. Purdue University; Selwyn, Neil. "‘So What?’…A Question that Every Journal Article Needs to Answer." Learning, Media, and Technology 39 (2014): 1-5; Shoket, Mohd. "Research Problem: Identification and Formulation." International Journal of Research 1 (May 2014): 512-518.

Structure and Writing Style

I.  Types and Content

There are four general conceptualizations of a research problem in the social sciences:

  • Casuist Research Problem -- this type of problem relates to the determination of right and wrong in questions of conduct or conscience by analyzing moral dilemmas through the application of general rules and the careful distinction of special cases.
  • Difference Research Problem -- typically asks the question, “Is there a difference between two or more groups or treatments?” This type of problem statement is used when the researcher compares or contrasts two or more phenomena. This a common approach to defining a problem in the clinical social sciences or behavioral sciences.
  • Descriptive Research Problem -- typically asks the question, "what is...?" with the underlying purpose to describe the significance of a situation, state, or existence of a specific phenomenon. This problem is often associated with revealing hidden or understudied issues.
  • Relational Research Problem -- suggests a relationship of some sort between two or more variables to be investigated. The underlying purpose is to investigate specific qualities or characteristics that may be connected in some way.

A problem statement in the social sciences should contain :

  • A lead-in that helps ensure the reader will maintain interest over the study,
  • A declaration of originality [e.g., mentioning a knowledge void or a lack of clarity about a topic that will be revealed in the literature review of prior research],
  • An indication of the central focus of the study [establishing the boundaries of analysis], and
  • An explanation of the study's significance or the benefits to be derived from investigating the research problem.

NOTE :   A statement describing the research problem of your paper should not be viewed as a thesis statement that you may be familiar with from high school. Given the content listed above, a description of the research problem is usually a short paragraph in length.

II.  Sources of Problems for Investigation

The identification of a problem to study can be challenging, not because there's a lack of issues that could be investigated, but due to the challenge of formulating an academically relevant and researchable problem which is unique and does not simply duplicate the work of others. To facilitate how you might select a problem from which to build a research study, consider these sources of inspiration:

Deductions from Theory This relates to deductions made from social philosophy or generalizations embodied in life and in society that the researcher is familiar with. These deductions from human behavior are then placed within an empirical frame of reference through research. From a theory, the researcher can formulate a research problem or hypothesis stating the expected findings in certain empirical situations. The research asks the question: “What relationship between variables will be observed if theory aptly summarizes the state of affairs?” One can then design and carry out a systematic investigation to assess whether empirical data confirm or reject the hypothesis, and hence, the theory.

Interdisciplinary Perspectives Identifying a problem that forms the basis for a research study can come from academic movements and scholarship originating in disciplines outside of your primary area of study. This can be an intellectually stimulating exercise. A review of pertinent literature should include examining research from related disciplines that can reveal new avenues of exploration and analysis. An interdisciplinary approach to selecting a research problem offers an opportunity to construct a more comprehensive understanding of a very complex issue that any single discipline may be able to provide.

Interviewing Practitioners The identification of research problems about particular topics can arise from formal interviews or informal discussions with practitioners who provide insight into new directions for future research and how to make research findings more relevant to practice. Discussions with experts in the field, such as, teachers, social workers, health care providers, lawyers, business leaders, etc., offers the chance to identify practical, “real world” problems that may be understudied or ignored within academic circles. This approach also provides some practical knowledge which may help in the process of designing and conducting your study.

Personal Experience Don't undervalue your everyday experiences or encounters as worthwhile problems for investigation. Think critically about your own experiences and/or frustrations with an issue facing society or related to your community, your neighborhood, your family, or your personal life. This can be derived, for example, from deliberate observations of certain relationships for which there is no clear explanation or witnessing an event that appears harmful to a person or group or that is out of the ordinary.

Relevant Literature The selection of a research problem can be derived from a thorough review of pertinent research associated with your overall area of interest. This may reveal where gaps exist in understanding a topic or where an issue has been understudied. Research may be conducted to: 1) fill such gaps in knowledge; 2) evaluate if the methodologies employed in prior studies can be adapted to solve other problems; or, 3) determine if a similar study could be conducted in a different subject area or applied in a different context or to different study sample [i.e., different setting or different group of people]. Also, authors frequently conclude their studies by noting implications for further research; read the conclusion of pertinent studies because statements about further research can be a valuable source for identifying new problems to investigate. The fact that a researcher has identified a topic worthy of further exploration validates the fact it is worth pursuing.

III.  What Makes a Good Research Statement?

A good problem statement begins by introducing the broad area in which your research is centered, gradually leading the reader to the more specific issues you are investigating. The statement need not be lengthy, but a good research problem should incorporate the following features:

1.  Compelling Topic The problem chosen should be one that motivates you to address it but simple curiosity is not a good enough reason to pursue a research study because this does not indicate significance. The problem that you choose to explore must be important to you, but it must also be viewed as important by your readers and to a the larger academic and/or social community that could be impacted by the results of your study. 2.  Supports Multiple Perspectives The problem must be phrased in a way that avoids dichotomies and instead supports the generation and exploration of multiple perspectives. A general rule of thumb in the social sciences is that a good research problem is one that would generate a variety of viewpoints from a composite audience made up of reasonable people. 3.  Researchability This isn't a real word but it represents an important aspect of creating a good research statement. It seems a bit obvious, but you don't want to find yourself in the midst of investigating a complex research project and realize that you don't have enough prior research to draw from for your analysis. There's nothing inherently wrong with original research, but you must choose research problems that can be supported, in some way, by the resources available to you. If you are not sure if something is researchable, don't assume that it isn't if you don't find information right away--seek help from a librarian !

NOTE:   Do not confuse a research problem with a research topic. A topic is something to read and obtain information about, whereas a problem is something to be solved or framed as a question raised for inquiry, consideration, or solution, or explained as a source of perplexity, distress, or vexation. In short, a research topic is something to be understood; a research problem is something that needs to be investigated.

IV.  Asking Analytical Questions about the Research Problem

Research problems in the social and behavioral sciences are often analyzed around critical questions that must be investigated. These questions can be explicitly listed in the introduction [i.e., "This study addresses three research questions about women's psychological recovery from domestic abuse in multi-generational home settings..."], or, the questions are implied in the text as specific areas of study related to the research problem. Explicitly listing your research questions at the end of your introduction can help in designing a clear roadmap of what you plan to address in your study, whereas, implicitly integrating them into the text of the introduction allows you to create a more compelling narrative around the key issues under investigation. Either approach is appropriate.

The number of questions you attempt to address should be based on the complexity of the problem you are investigating and what areas of inquiry you find most critical to study. Practical considerations, such as, the length of the paper you are writing or the availability of resources to analyze the issue can also factor in how many questions to ask. In general, however, there should be no more than four research questions underpinning a single research problem.

Given this, well-developed analytical questions can focus on any of the following:

  • Highlights a genuine dilemma, area of ambiguity, or point of confusion about a topic open to interpretation by your readers;
  • Yields an answer that is unexpected and not obvious rather than inevitable and self-evident;
  • Provokes meaningful thought or discussion;
  • Raises the visibility of the key ideas or concepts that may be understudied or hidden;
  • Suggests the need for complex analysis or argument rather than a basic description or summary; and,
  • Offers a specific path of inquiry that avoids eliciting generalizations about the problem.

NOTE:   Questions of how and why concerning a research problem often require more analysis than questions about who, what, where, and when. You should still ask yourself these latter questions, however. Thinking introspectively about the who, what, where, and when of a research problem can help ensure that you have thoroughly considered all aspects of the problem under investigation and helps define the scope of the study in relation to the problem.

V.  Mistakes to Avoid

Beware of circular reasoning! Do not state the research problem as simply the absence of the thing you are suggesting. For example, if you propose the following, "The problem in this community is that there is no hospital," this only leads to a research problem where:

  • The need is for a hospital
  • The objective is to create a hospital
  • The method is to plan for building a hospital, and
  • The evaluation is to measure if there is a hospital or not.

This is an example of a research problem that fails the "So What?" test . In this example, the problem does not reveal the relevance of why you are investigating the fact there is no hospital in the community [e.g., perhaps there's a hospital in the community ten miles away]; it does not elucidate the significance of why one should study the fact there is no hospital in the community [e.g., that hospital in the community ten miles away has no emergency room]; the research problem does not offer an intellectual pathway towards adding new knowledge or clarifying prior knowledge [e.g., the county in which there is no hospital already conducted a study about the need for a hospital, but it was conducted ten years ago]; and, the problem does not offer meaningful outcomes that lead to recommendations that can be generalized for other situations or that could suggest areas for further research [e.g., the challenges of building a new hospital serves as a case study for other communities].

Alvesson, Mats and Jörgen Sandberg. “Generating Research Questions Through Problematization.” Academy of Management Review 36 (April 2011): 247-271 ; Choosing and Refining Topics. Writing@CSU. Colorado State University; D'Souza, Victor S. "Use of Induction and Deduction in Research in Social Sciences: An Illustration." Journal of the Indian Law Institute 24 (1982): 655-661; Ellis, Timothy J. and Yair Levy Nova. "Framework of Problem-Based Research: A Guide for Novice Researchers on the Development of a Research-Worthy Problem." Informing Science: the International Journal of an Emerging Transdiscipline 11 (2008); How to Write a Research Question. The Writing Center. George Mason University; Invention: Developing a Thesis Statement. The Reading/Writing Center. Hunter College; Problem Statements PowerPoint Presentation. The Writing Lab and The OWL. Purdue University; Procter, Margaret. Using Thesis Statements. University College Writing Centre. University of Toronto; Shoket, Mohd. "Research Problem: Identification and Formulation." International Journal of Research 1 (May 2014): 512-518; Trochim, William M.K. Problem Formulation. Research Methods Knowledge Base. 2006; Thesis and Purpose Statements. The Writer’s Handbook. Writing Center. University of Wisconsin, Madison; Thesis Statements. The Writing Center. University of North Carolina; Tips and Examples for Writing Thesis Statements. The Writing Lab and The OWL. Purdue University; Pardede, Parlindungan. “Identifying and Formulating the Research Problem." Research in ELT: Module 4 (October 2018): 1-13; Walk, Kerry. Asking an Analytical Question. [Class handout or worksheet]. Princeton University; White, Patrick. Developing Research Questions: A Guide for Social Scientists . New York: Palgrave McMillan, 2009; Li, Yanmei, and Sumei Zhang. "Identifying the Research Problem." In Applied Research Methods in Urban and Regional Planning . (Cham, Switzerland: Springer International Publishing, 2022), pp. 13-21.

  • << Previous: Background Information
  • Next: Theoretical Framework >>
  • Last Updated: Apr 16, 2024 10:20 AM
  • URL: https://libguides.usc.edu/writingguide

Table of Contents

The problem-solving process, how to solve problems: 5 steps, train to solve problems with lean today, what is problem solving steps, techniques, & best practices explained.

What Is Problem Solving? Steps, Techniques, and Best Practices Explained

Problem solving is the art of identifying problems and implementing the best possible solutions. Revisiting your problem-solving skills may be the missing piece to leveraging the performance of your business, achieving Lean success, or unlocking your professional potential. 

Ask any colleague if they’re an effective problem-solver and their likely answer will be, “Of course! I solve problems every day.” 

Problem solving is part of most job descriptions, sure. But not everyone can do it consistently. 

Problem solving is the process of defining a problem, identifying its root cause, prioritizing and selecting potential solutions, and implementing the chosen solution.

There’s no one-size-fits-all problem-solving process. Often, it’s a unique methodology that aligns your short- and long-term objectives with the resources at your disposal. Nonetheless, many paradigms center problem solving as a pathway for achieving one’s goals faster and smarter. 

One example is the Six Sigma framework , which emphasizes eliminating errors and refining the customer experience, thereby improving business outcomes. Developed originally by Motorola, the Six Sigma process identifies problems from the perspective of customer satisfaction and improving product delivery. 

Lean management, a similar method, is about streamlining company processes over time so they become “leaner” while producing better outcomes. 

Trendy business management lingo aside, both of these frameworks teach us that investing in your problem solving process for personal and professional arenas will bring better productivity.

1. Precisely Identify Problems

As obvious as it seems, identifying the problem is the first step in the problem-solving process. Pinpointing a problem at the beginning of the process will guide your research, collaboration, and solutions in the right direction. 

At this stage, your task is to identify the scope and substance of the problem. Ask yourself a series of questions: 

  • What’s the problem? 
  • How many subsets of issues are underneath this problem? 
  • What subject areas, departments of work, or functions of business can best define this problem? 

Although some problems are naturally large in scope, precision is key. Write out the problems as statements in planning sheets . Should information or feedback during a later step alter the scope of your problem, revise the statements. 

Framing the problem at this stage will help you stay focused if distractions come up in later stages. Furthermore, how you frame a problem will aid your search for a solution. A strategy of building Lean success, for instance, will emphasize identifying and improving upon inefficient systems. 

2. Collect Information and Plan 

The second step is to collect information and plan the brainstorming process. This is another foundational step to road mapping your problem-solving process. Data, after all, is useful in identifying the scope and substance of your problems. 

Collecting information on the exact details of the problem, however, is done to narrow the brainstorming portion to help you evaluate the outcomes later. Don’t overwhelm yourself with unnecessary information — use the problem statements that you identified in step one as a north star in your research process. 

This stage should also include some planning. Ask yourself:

  • What parties will ultimately decide a solution? 
  • Whose voices and ideas should be heard in the brainstorming process? 
  • What resources are at your disposal for implementing a solution? 

Establish a plan and timeline for steps 3-5. 

3. Brainstorm Solutions

Brainstorming solutions is the bread and butter of the problem-solving process. At this stage, focus on generating creative ideas. As long as the solution directly addresses the problem statements and achieves your goals, don’t immediately rule it out. 

Moreover, solutions are rarely a one-step answer and are more like a roadmap with a set of actions. As you brainstorm ideas, map out these solutions visually and include any relevant factors such as costs involved, action steps, and involved parties. 

With Lean success in mind, stay focused on solutions that minimize waste and improve the flow of business ecosystems. 

Become a Quality Management Professional

  • 10% Growth In Jobs Of Quality Managers Profiles By 2025
  • 11% Revenue Growth For Organisations Improving Quality

Certified Lean Six Sigma Green Belt

  • 4 hands-on projects to perfect the skills learnt
  • 4 simulation test papers for self-assessment

Lean Six Sigma Expert

  • IASSC® Lean Six Sigma Green Belt and Black Belt certification
  • 13 Projects, 12 Simulation exams, 18 Case Studies & 114 PDUs

Here's what learners are saying regarding our programs:

Xueting Liu

Xueting Liu

Mechanical engineer student at sargents pty. ltd. ,.

A great training and proper exercise with step-by-step guide! I'll give a rating of 10 out of 10 for this training.

Abdus Salam

Abdus Salam

I have completed the Lean Six Sigma Expert Master’s Program from Simplilearn. And after the course, I could take up new projects and perform better. My average pay rate for a research position increased by 21%.

4. Decide and Implement

The most critical stage is selecting a solution. Easier said than done. Consider the criteria that has arisen in previous steps as you decide on a solution that meets your needs. 

Once you select a course of action, implement it. 

Practicing due diligence in earlier stages of the process will ensure that your chosen course of action has been evaluated from all angles. Often, efficient implementation requires us to act correctly and successfully the first time, rather than being hurried and sloppy. Further compilations will create more problems, bringing you back to step 1. 

5. Evaluate

Exercise humility and evaluate your solution honestly. Did you achieve the results you hoped for? What would you do differently next time? 

As some experts note, formulating feedback channels into your evaluation helps solidify future success. A framework like Lean success, for example, will use certain key performance indicators (KPIs) like quality, delivery success, reducing errors, and more. Establish metrics aligned with company goals to assess your solutions.

Master skills like measurement system analysis, lean principles, hypothesis testing, process analysis and DFSS tools with our Lean Six Sigma Green Belt Training Course . Sign-up today!

Become a quality expert with Simplilearn’s Lean Six Sigma Green Belt . This Lean Six Sigma certification program will help you gain key skills to excel in digital transformation projects while improving quality and ultimate business results.

In this course, you will learn about two critical operations management methodologies – Lean practices and Six Sigma to accelerate business improvement.

Our Quality Management Courses Duration And Fees

Explore our top Quality Management Courses and take the first step towards career success

Get Free Certifications with free video courses

Lean Management

Quality Management

Lean Management

PMP Basics

Project Management

Learn from industry experts with free masterclasses, digital marketing.

The Top 10 AI Tools You Need to Master Marketing in 2024

Unlock Digital Marketing Career Success Secrets for 2024 with Purdue University

Your Gateway to Game-changing Digital Marketing Careers in 2024 with Purdue University

Recommended Reads

Introduction to Machine Learning: A Beginner's Guide

Webinar Wrap-up: Mastering Problem Solving: Career Tips for Digital Transformation Jobs

An Ultimate Guide That Helps You to Develop and Improve Problem Solving in Programming

Free eBook: 21 Resources to Find the Data You Need

ITIL Problem Workaround: A Leader’s Guide to Manage Problems

Your One-Stop Solution to Understand Coin Change Problem

Get Affiliated Certifications with Live Class programs

  • PMP, PMI, PMBOK, CAPM, PgMP, PfMP, ACP, PBA, RMP, SP, and OPM3 are registered marks of the Project Management Institute, Inc.

U.S. flag

An official website of the United States government

The .gov means it’s official. Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

The site is secure. The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

  • Publications
  • Account settings

Preview improvements coming to the PMC website in October 2024. Learn More or Try it out now .

  • Advanced Search
  • Journal List

Logo of jintell

Analysing Complex Problem-Solving Strategies from a Cognitive Perspective: The Role of Thinking Skills

1 MTA-SZTE Digital Learning Technologies Research Group, Center for Learning and Instruction, University of Szeged, 6722 Szeged, Hungary

Gyöngyvér Molnár

2 MTA-SZTE Digital Learning Technologies Research Group, Institute of Education, University of Szeged, 6722 Szeged, Hungary; uh.degezs-u.yspde@ranlomyg

Associated Data

The data used to support the findings cannot be shared at this time as it also forms part of an ongoing study.

Complex problem solving (CPS) is considered to be one of the most important skills for successful learning. In an effort to explore the nature of CPS, this study aims to investigate the role of inductive reasoning (IR) and combinatorial reasoning (CR) in the problem-solving process of students using statistically distinguishable exploration strategies in the CPS environment. The sample was drawn from a group of university students (N = 1343). The tests were delivered via the eDia online assessment platform. Latent class analyses were employed to seek students whose problem-solving strategies showed similar patterns. Four qualitatively different class profiles were identified: (1) 84.3% of the students were proficient strategy users, (2) 6.2% were rapid learners, (3) 3.1% were non-persistent explorers, and (4) 6.5% were non-performing explorers. Better exploration strategy users showed greater development in thinking skills, and the roles of IR and CR in the CPS process were varied for each type of strategy user. To sum up, the analysis identified students’ problem-solving behaviours in respect of exploration strategy in the CPS environment and detected a number of remarkable differences in terms of the use of thinking skills between students with different exploration strategies.

1. Introduction

Problem solving is part and parcel of our daily activities, for instance, in determining what to wear in the morning, how to use our new electronic devices, how to reach a restaurant by public transport, how to arrange our schedule to achieve the greatest work efficiency and how to communicate with people in a foreign country. In most cases, it is essential to solve the problems that recur in our study, work and daily lives. These situations require problem solving. Generally, problem solving is the thinking that occurs if we want “to overcome barriers between a given state and a desired goal state by means of behavioural and/or cognitive, multistep activities” ( Frensch and Funke 1995, p. 18 ). It has also been considered as one of the most important skills for successful learning in the 21st century. This study focuses on one specific kind of problem solving, complex problem solving (CPS). (Numerous other terms are also used ( Funke et al. 2018 ), such as interactive problem solving ( Greiff et al. 2013 ; Wu and Molnár 2018 ), and creative problem solving ( OECD 2010 ), etc.).

CPS is a transversal skill ( Greiff et al. 2014 ), operating several mental activities and thinking skills (see Molnár et al. 2013 ). In order to explore the nature of CPS, some studies have focused on detecting its component skills ( Wu and Molnár 2018 ), whereas others have analysed students’ behaviour during the problem-solving process ( Greiff et al. 2018 ; Wu and Molnár 2021 ). This study aims to link these two fields by investigating the role of thinking skills in learning by examining students’ use of statistically distinguishable exploration strategies in the CPS environment.

1.1. Complex Problem Solving: Definition, Assessment and Relations to Intelligence

According to a widely accepted definition proposed by Buchner ( 1995 ), CPS is “the successful interaction with task environments that are dynamic (i.e., change as a function of users’ intervention and/or as a function of time) and in which some, if not all, of the environment’s regularities can only be revealed by successful exploration and integration of the information gained in that process” ( Buchner 1995, p. 14 ). A CPS process is split into two phases, knowledge acquisition and knowledge application. In the knowledge acquisition (KAC) phase of CPS, the problem solver understands the problem itself and stores the acquired information ( Funke 2001 ; Novick and Bassok 2005 ). In the knowledge application (KAP) phase, the problem solver applies the acquired knowledge to bring about the transition from a given state to a goal state ( Novick and Bassok 2005 ).

Problem solving, especially CPS, has frequently been compared or linked to intelligence in previous studies (e.g., Beckmann and Guthke 1995 ; Stadler et al. 2015 ; Wenke et al. 2005 ). Lotz et al. ( 2017 ) observed that “intelligence and [CPS] are two strongly overlapping constructs” (p. 98). There are many similarities and commonalities that can be detected between CPS and intelligence. For instance, CPS and intelligence share some of the same key features, such as the integration of information ( Stadler et al. 2015 ). Furthermore, Wenke et al. ( 2005 ) stated that “the ability to solve problems has featured prominently in virtually every definition of human intelligence” (p. 9); meanwhile, from the opposite perspective, intelligence has also been considered as one of the most important predictors of the ability to solve problems ( Wenke et al. 2005 ). Moreover, the relation between CPS and intelligence has also been discussed from an empirical perspective. A meta-analysis conducted by Stadler et al. ( 2015 ) selected 47 empirical studies (total sample size N = 13,740) which focused on the correlation between CPS and intelligence. The results of their analysis confirmed that a correlation between CPS and intelligence exists with a moderate effect size of M(g) = 0.43.

Due to the strong link between CPS and intelligence, assessments of these two domains have been connected and have overlapped to a certain extent. For instance, Beckmann and Guthke ( 1995 ) observed that some of the intelligence tests “capture something akin to an individual’s general ability to solve problems (e.g., Sternberg 1982 )” (p. 184). Nowadays, some widely used CPS assessment methods are related to intelligence but still constitute a distinct construct ( Schweizer et al. 2013 ), such as the MicroDYN approach ( Greiff and Funke 2009 ; Greiff et al. 2012 ; Schweizer et al. 2013 ). This approach uses the minimal complex system to simulate simplistic, artificial but still complex problems following certain construction rules ( Greiff and Funke 2009 ; Greiff et al. 2012 ).

The MicroDYN approach has been widely employed to measure problem solving in a well-defined problem context (i.e., “problems have a clear set of means for reaching a precisely described goal state”, Dörner and Funke 2017, p. 1 ). To complete a task based on the MicroDYN approach, the problem solver engages in dynamic interaction with the task to acquire relevant knowledge. It is not possible to create this kind of test environment with the traditional paper-and-pencil-based method. Therefore, it is currently only possible to conduct a MicroDYN-based CPS assessment within the computer-based assessment framework. In the context of computer-based assessment, the problem-solvers’ operations were recorded and logged by the assessment platform. Thus, except for regular achievement-focused result data, logfile data are also available for analysis. This provides the option of exploring and monitoring problem solvers’ behaviour and thinking processes, specifically, their exploration strategies, during the problem-solving process (see, e.g., Chen et al. 2019 ; Greiff et al. 2015a ; Molnár and Csapó 2018 ; Molnár et al. 2022 ; Wu and Molnár 2021 ).

Problem solving, in the context of an ill-defined problem (i.e., “problems have no clear problem definition, their goal state is not defined clearly, and the means of moving towards the (diffusely described) goal state are not clear”, Dörner and Funke 2017, p. 1), involved a different cognitive process than that in the context of a well-defined problem ( Funke 2010 ; Schraw et al. 1995 ), and it cannot be measured with the MicroDYN approach. The nature of ill-defined problem solving has been explored and discussed in numerous studies (e.g., Dörner and Funke 2017 ; Hołda et al. 2020 ; Schraw et al. 1995 ; Welter et al. 2017 ). This will not be discussed here as this study focuses on well-defined problem solving.

1.2. Inductive and Combinatorial Reasoning as Component Skills of Complex Problem Solving

Frensch and Funke ( 1995 ) constructed a theoretical framework that summarizes the basic components of CPS and the interrelations among the components. The framework contains three separate components: problem solver, task and environment. The impact of the problem solver is mainly relevant to three main categories, which are memory contents, dynamic information processing and non-cognitive variables. Some thinking skills have been reported to play an important role in dynamic information processing. We can thus describe them as component skills of CPS. Inductive reasoning (IR) and combinatorial reasoning (CR) are the two thinking skills that have been most frequently discussed as component skills of CPS.

IR is the reasoning skill that has been covered most commonly in the literature. Currently, there is no universally accepted definition. Molnár et al. ( 2013 ) described it as the cognitive process of acquiring general regularities by generalizing single and specific observations and experiences, whereas Klauer ( 1990 ) defined it as the discovery of regularities that relies upon the detection of similarities and/or dissimilarities as concerns attributes of or relations to or between objects. Sandberg and McCullough ( 2010 ) provided a general conclusion of the definitions of IR: it is the process of moving from the specific to the general.

Csapó ( 1997 ) pointed out that IR is a basic component of thinking and that it forms a central aspect of intellectual functioning. Some studies have also discussed the role of IR in a problem-solving environment. For instance, Mayer ( 1998 ) stated that IR will be applied in information processing during the process of solving general problems. Gilhooly ( 1982 ) also pointed out that IR plays a key role in some activities in the problem-solving process, such as hypothesis generation and hypothesis testing. Moreover, the influence of IR on both KAC and KAP has been analysed and demonstrated in previous studies ( Molnár et al. 2013 ).

Empirical studies have also provided evidence that IR and CPS are related. Based on the results of a large-scale assessment (N = 2769), Molnár et al. ( 2013 ) showed that IR significantly correlated with 9–17-year-old students’ domain-general problem-solving achievement (r = 0.44–0.52). Greiff et al. ( 2015b ) conducted a large-scale assessment project (N = 2021) in Finland to explore the links between fluid reasoning skills and domain-general CPS. The study measured fluid reasoning as a two-dimensional model which consisted of deductive reasoning and scientific reasoning and included inductive thinking processes ( Greiff et al. 2015b ). The results drawing on structural equation modelling indicated that fluid reasoning which was partly based on IR had significant and strong predictive effects on both KAC (β = 0.51) and KAP (β = 0.55), the two phases of problem solving. Such studies have suggested that IR is one of the component skills of CPS.

According to Adey and Csapó ’s ( 2012 ) definition, CR is the process of creating complex constructions out of a set of given elements that satisfy the conditions explicitly given in or inferred from the situation. In this process, some cognitive operations, such as combinations, arrangements, permutations, notations and formulae, will be employed ( English 2005 ). CR is one of the basic components of formal thinking ( Batanero et al. 1997 ). The relationship between CR and CPS has frequently been discussed. English ( 2005 ) demonstrated that CR has an essential meaning in several types of problem situations, such as problems requiring the systematic testing of alternative solutions. Moreover, Newell ( 1993 ) pointed out that CR is applied in some key activities of problem-solving information processing, such as strategy generation and application. Its functions include, but are not limited to, helping problem solvers to discover relationships between certain elements and concepts, promoting their fluency of thinking when they are considering different strategies ( Csapó 1999 ) and identifying all possible alternatives ( OECD 2014 ). Moreover, Wu and Molnár ’s ( 2018 ) empirical study drew on a sample (N = 187) of 11–13-year-old primary school students in China. Their study built a structural equation model between CPS, IR and CR, and the result indicated that CR showed a strong and statistically significant predictive power for CPS (β = 0.55). Thus, the results of the empirical study also support the argument that CR is one of the component skills of CPS.

1.3. Behaviours and Strategies in a Complex Problem-Solving Environment

Wüstenberg et al. ( 2012 ) stated that the creation and implementation of strategic exploration are core actions of the problem-solving task. Exploring and generating effective information are key to successfully solving a problem. Wittmann and Hattrup ( 2004 ) illustrated that “riskier strategies [create] a learning environment with greater opportunities to discover and master the rules and boundaries [of a problem]” (p. 406). Thus, when gathering information about a complex problem, there may be differences between exploration strategies in terms of efficacy. The MicroDYN scenarios, a simplification and simulation of the real-world problem-solving context, will also be influenced by the adoption and implementation of exploration strategies.

The effectiveness of the isolated variation strategy (or “Vary-One-Thing-At-A-Time” strategy—VOTAT; Vollmeyer et al. 1996 ) in a CPS environment has been hotly debated ( Chen et al. 2019 ; Greiff et al. 2018 ; Molnár and Csapó 2018 ; Molnár et al. 2022 ; Wu and Molnár 2021 ; Wüstenberg et al. 2014 ). To use the VOTAT strategy, a problem solver “systematically varies only one input variable, whereas the others remain unchanged. This way, the effect of the variable that has just been changed can be observed directly by monitoring the changes in the output variables” ( Molnár and Csapó 2018, p. 2 ). Understanding and using VOTAT effectively is the foundation for developing more complex strategies for coordinating multiple variables and the basis for some phases of scientific thinking (i.e., inquiry, analysis, inference and argument; Kuhn 2010 ; Kuhn et al. 1995 ).

Some previous studies have indicated that students who are able to apply VOTAT are more likely to achieve higher performance in a CPS assessment ( Greiff et al. 2018 ), especially if the problem is a well-defined minimal complex system (such as MicroDYN) ( Fischer et al. 2012 ; Molnár and Csapó 2018 ; Wu and Molnár 2021 ). For instance, Molnár and Csapó ( 2018 ) conducted an empirical study to explore how students’ exploration strategies influence their performance in an interactive problem-solving environment. They measured a group (N = 4371) of 3rd- to 12th-grade (aged 9–18) Hungarian students’ problem-solving achievement and modelled students’ exploration strategies. This result confirmed that students’ exploration strategies influence their problem-solving performance. For example, conscious VOTAT strategy users proved to be the best problem-solvers. Furthermore, other empirical studies (e.g., Molnár et al. 2022 ; Wu and Molnár 2021 ) achieved similar results, thus confirming the importance of VOTAT in a MicroDYN-based CPS environment.

Lotz et al. ( 2017 ) illustrated that effective use of VOTAT is associated with higher levels of intelligence. Their study also pointed out that intelligence has the potential to facilitate successful exploration behaviour. Reasoning skills are an important component of general intelligence. Based on Lotz et al. ’s ( 2017 ) statements, the roles IR and CR play in the CPS process might vary due to students’ different strategy usage patterns. However, there is still a lack of empirical studies in this regard.

2. Research Aims and Questions

Numerous studies have explored the nature of CPS, some of them discussing and analysing it from behavioural or cognitive perspectives. However, there have barely been any that have merged these two perspectives. From the cognitive perspective, this study explores the role of thinking skills (including IR and CR) in the cognition process of CPS. From the behavioural perspective, the study focuses on students’ behaviour (i.e., their exploration strategy) in the CPS assessment process. More specifically, the research aims to fill this gap and examine students’ use of statistically distinguishable exploration strategies in CPS environments and to detect the connection between the level of students’ thinking skills and their behaviour strategies in the CPS environment. The following research questions were thus formed.

  • (RQ1) What exploration strategy profiles characterise the various problem-solvers at the university level?
  • (RQ2) Can developmental differences in CPS, IR and CR be detected among students with different exploration strategy profiles?
  • (RQ3) What are the similarities and differences in the roles IR and CR play in the CPS process as well as in the two phases of CPS (i.e., KAC and KAP) among students with different exploration strategy profiles?

3.1. Participants and Procedure

The sample was drawn from one of the largest universities in Hungary. Participation was voluntary, but students were able to earn one course credit for taking part in the assessment. The participants were students who had just started their studies there (N = 1671). 43.4% of the first-year students took part in the assessment. 50.9% of the participants were female, and 49.1% were male. We filtered the sample and excluded those who had more than 80% missing data on any of the tests. After the data were cleaned, data from 1343 students were available for analysis. The test was designed and delivered via the eDia online assessment system ( Csapó and Molnár 2019 ). The assessment was held in the university ICT room and divided into two sessions. The first session involved the CPS test, whereas the second session entailed the IR and CR tests. Each session lasted 45 min. The language of the tests was Hungarian, the mother tongue of the students.

3.2. Instruments

3.2.1. complex problem solving (cps).

The CPS assessment instrument adopted the MicroDYN approach. It contains a total of twelve scenarios, and each scenario consisted of two items (one item in the KAC phase and one item in the KAP phase in each problem scenario). Twelve KAC items and twelve KAP items were therefore delivered on the CPS test for a total of twenty-four items. Each scenario has a fictional cover story. For instance, students found a sick cat in front of their house, and they were expected to feed the cat with two different kinds of cat food to help it recover.

Each item contains up to three input and three output variables. The relations between the input and output variables were formulated with linear structural equations ( Funke 2001 ). Figure 1 shows a MicroDYN sample structure containing three input variables (A, B and C), three output variables (X, Y and Z) and a number of possible relations between the variables. The complexity of the item was defined by the number of input and output variables, and the number of relations between the variables. The test began with the item with the lowest complexity. The complexity of each item gradually increased as the test progressed.

An external file that holds a picture, illustration, etc.
Object name is jintelligence-10-00046-g001.jpg

A typical MicroDYN structure with three input variables and three output variables ( Greiff and Funke 2009 ).

The interface of each item displays the value of each variable in both numerical and figural forms (See Figure 2 ). Each of the input variables has a controller, which makes it possible to vary and set the value between +2 (+ +) and −2 (− −). To operate the system, students need to click the “+” or “−” button or use the slider directly to select the value they want to be added to or subtracted from the current value of the input variable. After clicking the “Apply” button in the interface, the input variables will add or subtract the selected value, and the output variables will show the corresponding changes. The history of the values for the input and output variables within the same problem scenario is displayed on screen. If students want to withdraw all the changes and set all the variables to their original status, they can click the “Reset” button.

An external file that holds a picture, illustration, etc.
Object name is jintelligence-10-00046-g002.jpg

Screenshot of the MicroDYN item Cat—first phase (knowledge acquisition). (The items were administered in Hungarian.)

In the first phase of the problem-solving process, the KAC phase, students are asked to interact with the system by changing the value of the input variables and observing and analysing the corresponding changes in the output variables. They are then expected to determine the relationship between the input and output variables and draw it in the form of (an) arrow(s) on the concept map at the bottom of the interface. To avoid item dependence in the second phase of the problem-solving process, the students are provided with a concept map during the KAP phase (see Figure 3 ), which shows the correct connections between the input and output variables. The students are expected to interact with the system by manipulating the input variables to make the output variables reach the given target values in four steps or less. That is, they cannot click on the “Apply” button more than four times. The first phase had a 180 s time limit, whereas the second had a 90 s time limit.

An external file that holds a picture, illustration, etc.
Object name is jintelligence-10-00046-g003.jpg

Screenshot of the MicroDYN item Cat—second phase (knowledge application). (The items were administered in Hungarian).

3.2.2. Inductive Reasoning (IR)

The IR instrument (see Figure 4 ) was originally designed and developed in Hungary ( Csapó 1997 ). In the last 25 years, the instrument has been further developed and scaled for a wide age range ( Molnár and Csapó 2011 ). In addition, figural items have been added, and the assessment method has evolved from paper-and-pencil to computer-based ( Pásztor 2016 ). Currently, the instrument is widely employed in a number of countries (see, e.g., Mousa and Molnár 2020 ; Pásztor et al. 2018 ; Wu et al. 2022 ; Wu and Molnár 2018 ). In the present study, four types of items were included after test adaptation: figural series, figural analogies, number analogies and number series. Students were expected to ascertain the correct relationship between the given figures and numbers and select a suitable figure or number as their answer. Students used the drag-and-drop operation to provide their answers. In total, 49 inductive reasoning items were delivered to the participating students.

An external file that holds a picture, illustration, etc.
Object name is jintelligence-10-00046-g004.jpg

Sample items for the IR test. (The items were administered in Hungarian.).

3.2.3. Combinatorial Reasoning (CR)

The CR instrument (see Figure 5 ) was originally designed by Csapó ( 1988 ). The instrument was first developed in paper-and-pencil format and then modified for computer use ( Pásztor and Csapó 2014 ). Each item contained figural or verbal elements and a clear requirement for combing through the elements. Students were asked to list every single combination based on a given rule they could find. For the figural items, students provided their answers using the drag-and-drop operation; for the verbal items, they were asked to type their answers in a text box provided on screen. The test consisted of eight combinatorial reasoning items in total.

An external file that holds a picture, illustration, etc.
Object name is jintelligence-10-00046-g005.jpg

Sample item for the CR test. (The items were administered in Hungarian).

3.3. Scoring

Students’ performance was automatically scored via the eDia platform. Items on the CPS and IR tests were scored dichotomously. In the first phase (KAC) of the CPS test, if a student drew all the correct relations on the concept map provided on screen within the given timeframe, his/her performance was assigned a score of 1 or otherwise a score of 0. In the second phase (KAP) of the CPS test, if the student successfully reached the given target values of the output variables by manipulating the level of the input variables within no more than four steps and the given timeframe, then his/her performance earned a score of 1 or otherwise a score of 0. On the IR test items, if a student selected the correct figure or number as his/her answer, then he or she received a score of 1; otherwise, the score was 0.

Students’ performance on the CR test items was scored according to a special J index, which was developed by Csapó ( 1988 ). The J index ranges from 0 to 1, where 1 means that the student provided all the correct combinations without any redundant combinations on the task. The formula for computing the J index is the following:

x stands for the number of correct combinations in the student’s answer,

T stands for the number of all possible correct combinations, and

y stands for the number of redundant combinations in the student’s answer.

Furthermore, according to Csapó ’s ( 1988 ) design, if y is higher than T, then the J index will be counted as 0.

3.4. Coding and Labelling the Logfile Data

Beyond concrete answer data, students’ interaction and manipulation behaviour were also logged in the assessment system. This made it possible to analyse students’ exploration behaviour in the first phase of the CPS process (KAC phase). Toward this aim, we adopted a labelling system developed by Molnár and Csapó ( 2018 ) to transfer the raw logfile data to structured data files for analysis. Based on the system, each trial (i.e., the sum of manipulations within the same problem scenario which was applied and tested by clicking the “Apply” button) was modelled as a single data entity. The sum of these trials within the same problem was defined as a strategy. In our study, we only consider the trials which were able to provide useful and new information for the problem-solvers, whereas the redundant or operations trials were excluded.

In this study, we analysed students’ trials to determine the extent to which they used the VOTAT strategy: fully, partially or not at all. This strategy is the most successful exploration strategy for such problems; it is the easiest to interpret and provides direct information about the given variable without any mediation effects ( Fischer et al. 2012 ; Greiff et al. 2018 ; Molnár and Csapó 2018 ; Wüstenberg et al. 2014 ; Wu and Molnár 2021 ). Based on the definition of VOTAT noted in Section 1.3 , we checked students’ trials to ascertain if they systematically varied one input variable while keeping the others unchanged, or applied a different, less successful strategy. We considered the following three types of trials:

  • “Only one single input variable was manipulated, whose relationship to the output variables was unknown (we considered a relationship unknown if its effect cannot be known from previous settings), while the other variables were set at a neutral value like zero […]
  • One single input variable was changed, whose relationship to the output variables was unknown. The others were not at zero, but at a setting used earlier. […]
  • One single input variable was changed, whose relationship to the output variables was unknown, and the others were not at zero; however, the effect of the other input variable(s) was known from earlier settings. Even so, this combination was not attempted earlier” ( Molnár and Csapó 2018, p. 8 )

We used the numbers 0, 1 and 2 to distinguish the level of students’ use of the most effective exploration strategy (i.e., VOTAT). If a student applied one or more of the above trials for every input variable within the same scenario, we considered that they had used the full VOTAT strategy and labelled this behaviour 2. If a student had only employed VOTAT on some but not all of the input variables, we concluded that they had used a partial VOTAT strategy for that problem scenario and labelled it 1. If a student had used none of the trials noted above in their problem exploration, then we determined that they had not used VOTAT at all and thus gave them a label of 0.

3.5. Data Analysis Plan

We used LCA (latent class analysis) to explore students’ exploration strategy profiles. LCA is a latent variable modelling approach that can be used to identify unmeasured (latent) classes of samples with similarly observed variables. LCA has been widely used in analysing logfile data for CPS assessment and in exploring students’ behaviour patterns (see, e.g., Gnaldi et al. 2020 ; Greiff et al. 2018 ; Molnár et al. 2022 ; Molnár and Csapó 2018 ; Mustafić et al. 2019 ; Wu and Molnár 2021 ). The scores for the use of VOTAT in the KAC phase (0, 1, 2; see Section 3.4 ) were used for the LCA analysis. We used Mplus ( Muthén and Muthén 2010 ) to run the LCA analysis. Several indices were used to measure the model fit: AIC (Akaike information criterion), BIC (Bayesian information criterion) and aBIC (adjusted Bayesian information criterion). With these three indicators, lower values indicate a better model fit. Entropy (ranging from 0 to 1, with values close to 1 indicating high certainty in the classification). The Lo–Mendell–Rubin adjusted likelihood ratio was used to compare the model containing n latent classes with the model containing n − 1 latent classes, and the p value was the indicator for whether a significant difference could be detected ( Lo et al. 2001 ). The results of the Lo–Mendell–Rubin adjusted likelihood ratio analysis were used to decide the correct number of latent classes in LCA models.

ANOVA was used to analyse the performance differences for CPS, IR and CR across the students from the different class profiles. The analysis was run using SPSS. A path analysis (PA) was employed in the structural equation modelling (SEM) framework to investigate the roles of CR and IR in CPS and the similarities and differences across the students from the different exploration strategy profiles. The PA models were carried out with Mplus. The Tucker–Lewis index (TLI), the comparative fit index (CFI) and the root-mean-square error of approximation (RMSEA) were used as indicators for the model fit. A TLI and CFI larger than 0.90 paired with a RMSEA less than 0.08 are commonly considered as an acceptable model fit ( van de Schoot et al. 2012 ).

4.1. Descriptive Results

All three tests showed good reliability (Cronbach’s α: CPS: 0.89; IR: 0.87; CR: 0.79). Furthermore, the two sub-dimensions of the CPS test, KAC and KAP, also showed satisfactory reliability (Cronbach’s α: KAC: 0.86; KAP: 0.78). The tests thus proved to be reliable. The means and standard deviations of students’ performance (in percentage) on each test are provided in Table 1 .

The means and standard deviations of students’ performance on each test.

4.2. Four Qualitatively Different Exploration Strategy Profiles Can Be Distinguished in CPS

Based on the labelled logfile data for CPS, we applied latent class analyses to identify the behaviour patterns of the students in the exploration phase of the problem-solving process. The model fits for the LCA analysis are listed in Table 2 . Compared with the 2 or 3 latent class models, the 4 latent class model has a lower AIC, BIC and aBIC, and the likelihood ratio statistical test (the Lo–Mendell–Rubin adjusted likelihood ratio test) confirmed it has a significantly better model fit. The 5 and 6 latent class models did not show a better model fit than the 4 latent class model. Therefore, based on the results, four qualitatively different exploration strategy profiles can be distinguished, which covered 96% of the students.

Fit indices for latent class analyses.

The patterns for the four qualitatively different exploration strategy profiles are shown in Figure 6 . In total, 84.3% of the students were proficient exploration strategy users, who were able to use VOTAT in each problem scenario independent of its difficulty level (represented by the red line in Figure 5 ). In total, 6.2% of the students were rapid learners. They were not able to apply VOTAT at the beginning of the test on the easiest problems but managed to learn quickly, and, after a rapid learning curve by the end of the test, they reached the level of proficient exploration strategy users, even though the problems became much more complex (represented by the blue line). In total, 3.1% of the students proved to be non-persistent explorers, and they employed VOTAT on the easiest problems but did not transfer this knowledge to the more complex problems. Finally, they were no longer able to apply VOTAT when the complexity of the problems increased (represented by the green line). In total, 6.5% of the students were non-performing explorers; they barely used any VOTAT strategy during the whole test (represented by the pink line) independent of problem complexity.

An external file that holds a picture, illustration, etc.
Object name is jintelligence-10-00046-g006.jpg

Four qualitatively different exploration strategy profiles.

4.3. Better Exploration Strategy Users Showed Better Performance in Reasoning Skills

Students with different exploration strategy profiles showed different kinds of performance in each reasoning skill under investigation. Results (see Table 3 ) showed that more proficient strategy users tended to have higher achievement in all the domains assessed as well as in the two sub-dimensions in CPS (i.e., KAC and KAP; ANOVA: CPS: F(3, 1339) = 187.28, p < 0.001; KAC: F(3, 1339) = 237.15, p < 0.001; KAP: F(3, 1339) = 74.91, p < 0.001; IR: F(3, 1339) = 48.10, p < 0.001; CR: F(3, 1339) = 28.72, p < 0.001); specifically, students identified as “proficient exploration strategy users” achieved the highest level on the reasoning skills tests independent of the domains. On average, they were followed by rapid learners, non-persistent explorers and, finally, non-performing explorers. Tukey’s post hoc tests revealed more details on the performance differences of students with different exploration profiles in each of the domains being measured. Proficient strategy users proved to be significantly more skilled in each of the reasoning domains. They were followed by rapid learners, who outperformed non-persistent explorers and non-performing explorers in CPS. In the domains of IR and CR, there were no achievement differences between rapid learners and non-persistent explorers, who significantly outperformed non-performing strategy explorers.

Students’ performance on each test—grouped according to the different exploration strategy profiles.

4.4. The Roles of IR and CR in CPS and Its Processes Were Different for Each Type of Exploration Strategy User

Path analysis was used to explore the predictive power of IR and CR for CPS and its processes, knowledge acquisition and knowledge application, for each group of students with different exploration strategy profiles. That is, four path analysis models were built to indicate the predictive power of IR and CR for CPS (see Figure 7 ), and another four path analyses models were developed to monitor the predictive power of IR and CR for the two empirically distinguishable phases of CPS (i.e., KAC and KAP) (see Figure 8 ). All eight models had good model fits, the fit indices TLI and CFI were above 0.90, and RMSEA was less than 0.08.

An external file that holds a picture, illustration, etc.
Object name is jintelligence-10-00046-g007.jpg

Path analysis models (with CPS, IR and CR) for each type of strategy user; * significant at 0.05 ( p   <  0.05); ** significant at 0.01 ( p   <  0.01); N.S.: no significant effect can be found.

An external file that holds a picture, illustration, etc.
Object name is jintelligence-10-00046-g008.jpg

Path analysis models (with KAC, KAP, IR and CR) for each type of strategy user; * significant at 0.05 ( p  <  0.05); ** significant at 0.01 ( p  <  0.01); N.S.: no significant effect can be found.

Students’ level of IR significantly predicted their level of CPS in all four path analysis models independent of their exploration strategy profile ( Figure 7 ; proficient strategy users: β = 0.432, p < 0.01; rapid learners: β = 0.350, p < 0.01; non-persistent explorers: β = 0.309, p < 0.05; and non-performing explorers: β = 0.386, p < 0.01). This was not the case for CR, which only proved to have predictive power for CPS among proficient strategy users (β = 0.104, p < 0.01). IR and CR were significantly correlated in all four models.

After examining the roles of IR and CR in the CPS process, we went further to explore the roles of these two reasoning skills in the distinguishable phases of CPS. The path analysis models ( Figure 8 ) showed that the predictive power of IR and CR for KAC and KAP was varied in each group. Levels of IR and CR among non-persistent explorers and non-performing explorers failed to predict their achievement in the KAC phase of the CPS process. Moreover, rapid learners’ level of IR significantly predicted their achievement in the KAC phase (β = 0.327, p < 0.01), but their level of CR did not have the same predictive power. Furthermore, the proficient strategy users’ levels of both reasoning skills had significant predictive power for KAC (IR: β = 0.363, p < 0.01; CR: β = 0.132, p < 0.01). In addition, in the KAP phase of the CPS problems, IR played a significant role for all types of strategy users, although with different power (proficient strategy users: β = 0.408, p < 0.01; rapid learners: β = 0.339, p < 0.01; non-persistent explorers: β = 0.361, p < 0.01; and non-performing explorers: β = 0.447, p < 0.01); by contrast, CR did not have significant predictive power for the KAP phase in any of the models.

5. Discussion

The study aims to investigate the role of IR and CR in CPS and its phases among students using statistically distinguishable exploration strategies in different CPS environments. We examined 1343 Hungarian university students and assessed their CPS, IR and CR skills. Both achievement data and logfile data were used in the analysis. The traditional achievement indicators formed the foundation for analysing the students’ CPS, CR and IR performance, whereas process data extracted from logfile data were used to explore students’ exploration behaviour in various CPS environments.

Four qualitatively different exploration strategy profiles were distinguished: proficient strategy users, rapid learners, non-persistent explorers and non-performing explorers (RQ1). The four profiles were consistent with the result of another study conducted at university level (see Molnár et al. 2022 ), and the frequencies of these four profiles in these two studies were very similar. The two studies therefore corroborate and validate each other’s results. The majority of the participants were identified as proficient strategy users. More than 80% of the university students were able to employ effective exploration strategies in various CPS environments. Of the remaining students, some performed poorly in exploration strategy use in the early part of the test (rapid learners), some in the last part (non-persistent explorers) and some throughout the test (non-performing explorers). However, students with these three exploration strategy profiles only constituted small portions of the total sample (with proportions ranging from 3.1% to 6.5%). The university students therefore exhibited generally good performance in terms of exploration strategy use in a CPS environment, especially compared with previous results among younger students (e.g., primary school students, see Greiff et al. 2018 ; Wu and Molnár 2021 ; primary to secondary students, see Molnár and Csapó 2018 ).

The results have indicated that better exploration strategy users achieved higher CPS performance and had better development levels of IR and CR (RQ2). First, the results have confirmed the importance of VOTAT in a CPS environment. This finding is consistent with previous studies (e.g., Greiff et al. 2015a ; Molnár and Csapó 2018 ; Mustafić et al. 2019 ; Wu and Molnár 2021 ). Second, the results have confirmed that effective use of VOTAT is strongly tied to the level of IR and CR development. Reasoning forms an important component of human intelligence, and the level of development in reasoning was an indicator of the level of intelligence ( Klauer et al. 2002 ; Sternberg and Kaufman 2011 ). Therefore, this finding has supplemented empirical evidence for the argument that effective use of VOTAT is associated with levels of intelligence to a certain extent.

The roles of IR and CR proved to be varied for each type of exploration strategy user (RQ3). For instance, the level of CPS among the best exploration strategy users (i.e., the proficient strategy users) was predicted by both the levels of IR and CR, but this was not the case for students with other profiles. In addition, the results have indicated that IR played important roles in both the KAC and KAP phases for the students with relatively good exploration strategy profiles (i.e., proficient strategy users and rapid learners) but only in the KAP phase for the rest of the students (non-persistent explorers and non-performing explorers); moreover, the predictive power of CR can only be detected in the KAC phase of the proficient strategy users. To sum up, the results suggest a general trend of IR and CR playing more important roles in the CPS process among better exploration strategy users.

Combining the answers to RQ2 and RQ3, we can gain further insights into students’ exploration strategy use in a CPS environment. Our results have confirmed that the use of VOTAT is associated with the level of IR and CR development and that the importance of IR and CR increases with proficiency in exploration strategy use. Based on these findings, we can make a reasonable argument that IR and CR are essential skills for using VOTAT and that underdeveloped IR and CR will prevent students from using effective strategies in a CPS environment. Therefore, if we want to encourage students to become better exploration strategy users, it is important to first enhance their IR and CR skills. Previous studies have suggested that establishing explicit training in using effective strategies in a CPS environment is important for students’ CPS development ( Molnár et al. 2022 ). Our findings have identified the importance of IR and CR in exploration strategy use, which has important implications for designing training programmes.

The results have also provided a basis for further studies. Future studies have been suggested to further link the behavioural and cognitive perspectives in CPS research. For instance, IR and CR were considered as component skills of CPS (see Section 1.2 ). The results of the study have indicated the possibility of not only discussing the roles of IR and CR in the cognitive process of CPS, but also exploration behaviour in a CPS environment. The results have thus provided a new perspective for exploring the component skills of CPS.

6. Limitations

There are some limitations in the study. All the tests were low stake; therefore, students might not be sufficiently motivated to do their best. This feature might have produced the missing values detected in the sample. In addition, some students’ exploration behaviour shown in this study might theoretically be below their true level. However, considering that data cleaning was adopted in this study (see Section 3.1 ), we believe this phenomenon will not have a remarkable influence on the results. Moreover, the CPS test in this study was based on the MicroDYN approach, which is a well-established and widely used artificial model with a limited number of variables and relations. However, it does not have the power to cover all kinds of complex and dynamic problems in real life. For instance, the MicroDYN approach cannot measure ill-defined problem solving. Thus, this study can only demonstrate the influence of IR and CR on problem solving in well-defined MicroDYN-simulated problems. Furthermore, VOTAT is helpful with minimally complex problems under well-defined laboratory conditions, but it may not be that helpful with real-world, ill-defined complex problems ( Dörner and Funke 2017 ; Funke 2021 ). Therefore, the generalizability of the findings is limited.

7. Conclusions

In general, the results have shed new light on students’ problem-solving behaviours in respect of exploration strategy in a CPS environment and explored differences in terms of the use of thinking skills between students with different exploration strategies. Most studies discuss students’ problem-solving strategies from a behavioural perspective. By contrast, this paper discusses them from both behavioural and cognitive perspectives, thus expanding our understanding in this area. As for educational implications, the study contributes to designing and revising training methods for CPS by identifying the importance of IR and CR in exploration behaviour in a CPS environment. To sum up, the study has investigated the nature of CPS from a fresh angle and provided a sound basis for future studies.

Funding Statement

This study has been conducted with support provided by the National Research, Development and Innovation Fund of Hungary, financed under the OTKA K135727 funding scheme and supported by the Research Programme for Public Education Development, Hungarian Academy of Sciences (KOZOKT2021-16).

Author Contributions

Conceptualization, H.W. and G.M.; methodology, H.W. and G.M.; formal analysis, H.W.; writing—original draft preparation, H.W.; writing—review and editing, G.M.; project administration, G.M.; funding acquisition, G.M. All authors have read and agreed to the published version of the manuscript.

Institutional Review Board Statement

Ethical approval was not required for this study in accordance with the national and institutional guidelines. The assessments which provided data for this study were integrated parts of the educational processes of the participating university. The participation was voluntary.

Informed Consent Statement

All of the students in the assessment turned 18, that is, it was not required or possible to request and obtain written informed parental consent from the participants.

Data Availability Statement

Conflicts of interest.

Authors declare no conflict of interest.

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations.

  • Adey Philip, Csapó Benő. Developing and Assessing Scientific Reasoning. In: Csapó Benő, Szabó Gábor., editors. Framework for Diagnostic Assessment of Science. Nemzeti Tankönyvkiadó; Budapest: 2012. pp. 17–53. [ Google Scholar ]
  • Batanero Carmen, Navarro-Pelayo Virginia, Godino Juan D. Effect of the implicit combinatorial model on combinatorial reasoning in secondary school pupils. Educational Studies in Mathematics. 1997; 32 :181–99. doi: 10.1023/A:1002954428327. [ CrossRef ] [ Google Scholar ]
  • Beckmann Jens F., Guthke Jürgen. Complex problem solving, intelligence, and learning ability. In: Frensch Peter A., Funke Joachim., editors. Complex Problem Solving: The European Perspective. Erlbaum; Hillsdale: 1995. pp. 177–200. [ Google Scholar ]
  • Buchner Axel. Basic topics and approaches to the study of complex problem solving. In: Frensch Peter A., Funke Joachim., editors. Complex Problem Solving: The European Perspective. Erlbaum; Hillsdale: 1995. pp. 27–63. [ Google Scholar ]
  • Chen Yunxiao, Li Xiaoou, Liu Jincheng, Ying Zhiliang. Statistical analysis of complex problem-solving process data: An event history analysis approach. Frontiers in Psychology. 2019; 10 :486. doi: 10.3389/fpsyg.2019.00486. [ PMC free article ] [ PubMed ] [ CrossRef ] [ Google Scholar ]
  • Csapó Benő. A kombinatív képesség struktúrája és fejlődése. Akadémiai Kiadó; Budapest: 1988. [ Google Scholar ]
  • Csapó Benő. The development of inductive reasoning: Cross-sectional assessments in an educational context. International Journal of Behavioral Development. 1997; 20 :609–26. doi: 10.1080/016502597385081. [ CrossRef ] [ Google Scholar ]
  • Csapó Benő. Teaching and Learning Thinking Skills. Swets & Zeitlinger; Lisse: 1999. Improving thinking through the content of teaching; pp. 37–62. [ Google Scholar ]
  • Csapó Benő, Molnár Gyöngyvér. Online diagnostic assessment in support of personalized teaching and learning: The eDia System. Frontiers in Psychology. 2019; 10 :1522. doi: 10.3389/fpsyg.2019.01522. [ PMC free article ] [ PubMed ] [ CrossRef ] [ Google Scholar ]
  • Dörner Dietrich, Funke Joachim. Complex problem solving: What it is and what it is not. Frontiers in Psychology. 2017; 8 :1153. doi: 10.3389/fpsyg.2017.01153. [ PMC free article ] [ PubMed ] [ CrossRef ] [ Google Scholar ]
  • English Lyn D. Combinatorics and the development of children’s combinatorial reasoning. In: Jones Graham A., editor. Exploring Probability in School: Challenges for Teaching and Learning. Springer; New York: 2005. pp. 121–41. [ Google Scholar ]
  • Fischer Andreas, Greiff Samuel, Funke Joachim. The process of solving complex problems. Journal of Problem Solving. 2012; 4 :19–42. doi: 10.7771/1932-6246.1118. [ CrossRef ] [ Google Scholar ]
  • Frensch Peter A., Funke Joachim. Complex Problem Solving: The European Perspective. Psychology Press; New York: 1995. [ Google Scholar ]
  • Funke Joachim. Dynamic systems as tools for analysing human judgement. Thinking and Reasoning. 2001; 7 :69–89. doi: 10.1080/13546780042000046. [ CrossRef ] [ Google Scholar ]
  • Funke Joachim. Complex problem solving: A case for complex cognition? Cognitive Processing. 2010; 11 :133–42. doi: 10.1007/s10339-009-0345-0. [ PubMed ] [ CrossRef ] [ Google Scholar ]
  • Funke Joachim. It Requires More Than Intelligence to Solve Consequential World Problems. Journal of Intelligence. 2021; 9 :38. doi: 10.3390/jintelligence9030038. [ PMC free article ] [ PubMed ] [ CrossRef ] [ Google Scholar ]
  • Funke Joachim, Fischer Andreas, Holt Daniel V. Competencies for complexity: Problem solving in the twenty-first century. In: Care Esther, Griffin Patrick, Wilson Mark., editors. Assessment and Teaching of 21st Century Skills. Springer; Dordrecht: 2018. pp. 41–53. [ Google Scholar ]
  • Gilhooly Kenneth J. Thinking: Directed, Undirected and Creative. Academic Press; London: 1982. [ Google Scholar ]
  • Gnaldi Michela, Bacci Silvia, Kunze Thiemo, Greiff Samuel. Students’ complex problem solving profiles. Psychometrika. 2020; 85 :469–501. doi: 10.1007/s11336-020-09709-2. [ PubMed ] [ CrossRef ] [ Google Scholar ]
  • Greiff Samuel, Funke Joachim. Measuring complex problem solving-the MicroDYN approach. In: Scheuermann Friedrich, Björnsson Julius., editors. The Transition to Computer-Based Assessment. Office for Official Publications of the European Communities; Luxembourg: 2009. pp. 157–63. [ Google Scholar ]
  • Greiff Samuel, Holt Daniel V., Funke Joachim. Perspectives on problem solving in educational assessment: Analytical, interactive, and collaborative problem solving. Journal of Problem Solving. 2013; 5 :71–91. doi: 10.7771/1932-6246.1153. [ CrossRef ] [ Google Scholar ]
  • Greiff Samuel, Molnár Gyöngyvér, Martina Romain, Zimmermann Johannes, Csapó Benő. Students’ exploration strategies in computer-simulated complex problem environments: A latent class approach. Computers & Education. 2018; 126 :248–63. [ Google Scholar ]
  • Greiff Samuel, Wüstenberg Sascha, Avvisati Francesco. Computer-generated log-file analyses as a window into students’ minds? A showcase study based on the PISA 2012 assessment of problem solving. Computers & Education. 2015a; 91 :92–105. [ Google Scholar ]
  • Greiff Samuel, Wüstenberg Sascha, Funke Joachim. Dynamic problem solving: A new measurement perspective. Applied Psychological Measurement. 2012; 36 :189–213. doi: 10.1177/0146621612439620. [ CrossRef ] [ Google Scholar ]
  • Greiff Samuel, Wüstenberg Sascha, Csapó Benő, Demetriou Andreas, Hautamäki Jarkko, Graesser Arthur C., Martin Romain. Domain-general problem solving skills and education in the 21st century. Educational Research Review. 2014; 13 :74–83. doi: 10.1016/j.edurev.2014.10.002. [ CrossRef ] [ Google Scholar ]
  • Greiff Samuel, Wüstenberg Sascha, Goetz Thomas, Vainikainen Mari-Pauliina, Hautamäki Jarkko, Bornstein Marc H. A longitudinal study of higher-order thinking skills: Working memory and fluid reasoning in childhood enhance complex problem solving in adolescence. Frontiers in Psychology. 2015b; 6 :1060. doi: 10.3389/fpsyg.2015.01060. [ PMC free article ] [ PubMed ] [ CrossRef ] [ Google Scholar ]
  • Hołda Małgorzata, Głodek Anna, Dankiewicz-Berger Malwina, Skrzypińska Dagna, Szmigielska Barbara. Ill-defined problem solving does not benefit from daytime napping. Frontiers in Psychology. 2020; 11 :559. doi: 10.3389/fpsyg.2020.00559. [ PMC free article ] [ PubMed ] [ CrossRef ] [ Google Scholar ]
  • Klauer Karl Josef. Paradigmatic teaching of inductive thinking. Learning and Instruction. 1990; 2 :23–45. [ Google Scholar ]
  • Klauer Karl Josef, Willmes Klaus, Phye Gary D. Inducing inductive reasoning: Does it transfer to fluid intelligence? Contemporary Educational Psychology. 2002; 27 :1–25. doi: 10.1006/ceps.2001.1079. [ CrossRef ] [ Google Scholar ]
  • Kuhn Deanna. What is scientific thinking and how does it develop? In: Goswami Usha., editor. The Wiley-Blackwell Handbook of Childhood Cognitive Development. Wiley-Blackwell; Oxford: 2010. pp. 371–93. [ Google Scholar ]
  • Kuhn Deanna, Garcia-Mila Merce, Zohar Anat, Andersen Christopher, Sheldon H. White, Klahr David, Carver Sharon M. Strategies of knowledge acquisition. Monographs of the Society for Research in Child Development. 1995; 60 :1–157. doi: 10.2307/1166059. [ CrossRef ] [ Google Scholar ]
  • Lo Yungtai, Mendell Nancy R., Rubin Donald B. Testing the number of components in a normal mixture. Biometrika. 2001; 88 :767–78. doi: 10.1093/biomet/88.3.767. [ CrossRef ] [ Google Scholar ]
  • Lotz Christin, Scherer Ronny, Greiff Samuel, Sparfeldt Jörn R. Intelligence in action—Effective strategic behaviors while solving complex problems. Intelligence. 2017; 64 :98–112. doi: 10.1016/j.intell.2017.08.002. [ CrossRef ] [ Google Scholar ]
  • Mayer Richard E. Cognitive, metacognitive, and motivational aspects of problem solving. Instructional Science. 1998; 26 :49–63. doi: 10.1023/A:1003088013286. [ CrossRef ] [ Google Scholar ]
  • Molnár Gyöngyvér, Csapó Benő. Az 1–11 évfolyamot átfogó induktív gondolkodás kompetenciaskála készítése a valószínűségi tesztelmélet alkalmazásával. Magyar Pedagógia. 2011; 111 :127–40. [ Google Scholar ]
  • Molnár Gyöngyvér, Csapó Benő. The efficacy and development of students’ problem-solving strategies during compulsory schooling: Logfile analyses. Frontiers in Psychology. 2018; 9 :302. doi: 10.3389/fpsyg.2018.00302. [ PMC free article ] [ PubMed ] [ CrossRef ] [ Google Scholar ]
  • Molnár Gyöngyvér, Alrababah Saleh Ahmad, Greiff Samuel. How we explore, interpret, and solve complex problems: A cross-national study of problem-solving processes. Heliyon. 2022; 8 :e08775. doi: 10.1016/j.heliyon.2022.e08775. [ PMC free article ] [ PubMed ] [ CrossRef ] [ Google Scholar ]
  • Molnár Gyöngyvér, Greiff Samuel, Csapó Benő. Inductive reasoning, domain specific and complex problem solving: Relations and development. Thinking Skills and Creativity. 2013; 9 :35–45. doi: 10.1016/j.tsc.2013.03.002. [ CrossRef ] [ Google Scholar ]
  • Mousa Mojahed, Molnár Gyöngyvér. Computer-based training in math improves inductive reasoning of 9- to 11-year-old children. Thinking Skills and Creativity. 2020; 37 :100687. doi: 10.1016/j.tsc.2020.100687. [ CrossRef ] [ Google Scholar ]
  • Mustafić Maida, Yu Jing, Stadler Matthias, Vainikainen Mari-Pauliina, Bornstein Marc H., Putnick Diane L., Greiff Samuel. Complex problem solving: Profiles and developmental paths revealed via latent transition analysis. Developmental Psychology. 2019; 55 :2090–101. doi: 10.1037/dev0000764. [ PMC free article ] [ PubMed ] [ CrossRef ] [ Google Scholar ]
  • Muthén Linda K., Muthén Bengt O. Mplus User’s Guide. Muthén & Muthén; Los Angeles: 2010. [ Google Scholar ]
  • Newell Allen. Reasoning, Problem Solving, and Decision Processes: The Problem Space as a Fundamental Category. MIT Press; Boston: 1993. [ Google Scholar ]
  • Novick Laura R., Bassok Miriam. Problem solving. In: Holyoak Keith James, Morrison Robert G., editors. The Cambridge Handbook of Thinking and Reasoning. Cambridge University Press; New York: 2005. pp. 321–49. [ Google Scholar ]
  • OECD . PISA 2012 Field Trial Problem Solving Framework. OECD Publishing; Paris: 2010. [ Google Scholar ]
  • OECD . Results: Creative Problem Solving—Students’ Skills in Tackling Real-Life Problems (Volume V) OECD Publishing; Paris: 2014. [ Google Scholar ]
  • Pásztor Attila. Ph.D. thesis. Doctoral School of Education, University of Szeged; Szeged, Hungary: 2016. Technology-Based Assessment and Development of Inductive Reasoning. [ Google Scholar ]
  • Pásztor Attila, Csapó Benő. Improving Combinatorial Reasoning through Inquiry-Based Science Learning; Paper presented at the Science and Mathematics Education Conference; Dublin, Ireland. June 24–25; 2014. [ Google Scholar ]
  • Pásztor Attila, Kupiainen Sirkku, Hotulainen Risto, Molnár Gyöngyvér, Csapó Benő. Comparing Finnish and Hungarian Fourth Grade Students’ Inductive Reasoning Skills; Paper presented at the EARLI SIG 1 Conference; Helsinki, Finland. August 29–31; 2018. [ Google Scholar ]
  • Sandberg Elisabeth Hollister, McCullough Mary Beth. The development of reasoning skills. In: Sandberg Elisabeth Hollister, Spritz Becky L., editors. A Clinician’s Guide to Normal Cognitive Development in Childhood. Routledge; New York: 2010. pp. 179–89. [ Google Scholar ]
  • Schraw Gregory, Dunkle Michael E., Bendixen Lisa D. Cognitive processes in well-defined and ill-defined problem solving. Applied Cognitive Psychology. 1995; 9 :523–38. doi: 10.1002/acp.2350090605. [ CrossRef ] [ Google Scholar ]
  • Schweizer Fabian, Wüstenberg Sascha, Greiff Samuel. Validity of the MicroDYN approach: Complex problem solving predicts school grades beyond working memory capacity. Learning and Individual Differences. 2013; 24 :42–52. doi: 10.1016/j.lindif.2012.12.011. [ CrossRef ] [ Google Scholar ]
  • Stadler Matthias, Becker Nicolas, Gödker Markus, Leutner Detlev, Greiff Samuel. Complex problem solving and intelligence: A meta-analysis. Intelligence. 2015; 53 :92–101. doi: 10.1016/j.intell.2015.09.005. [ CrossRef ] [ Google Scholar ]
  • Sternberg Robert J. Handbook of Human Intelligence. Cambridge University Press; New York: 1982. [ Google Scholar ]
  • Sternberg Robert J., Kaufman Scott Barry. The Cambridge Handbook of Intelligence. Cambridge University Press; New York: 2011. [ Google Scholar ]
  • van de Schoot Rens, Lugtig Peter, Hox Joop. A checklist for testing measurement invariance. European Journal of Developmental Psychology. 2012; 9 :486–92. doi: 10.1080/17405629.2012.686740. [ CrossRef ] [ Google Scholar ]
  • Vollmeyer Regina, Burns Bruce D., Holyoak Keith J. The impact of goal specificity on strategy use and the acquisition of problem structure. Cognitive Science. 1996; 20 :75–100. doi: 10.1207/s15516709cog2001_3. [ CrossRef ] [ Google Scholar ]
  • Welter Marisete Maria, Jaarsveld Saskia, Lachmann Thomas. Problem space matters: The development of creativity and intelligence in primary school children. Creativity Research Journal. 2017; 29 :125–32. doi: 10.1080/10400419.2017.1302769. [ CrossRef ] [ Google Scholar ]
  • Wenke Dorit, Frensch Peter A., Funke Joachim. Complex Problem Solving and intelligence: Empirical relation and causal direction. In: Sternberg Robert J., Pretz Jean E., editors. Cognition and Intelligence: Identifying the Mechanisms of the Mind. Cambridge University Press; New York: 2005. pp. 160–87. [ Google Scholar ]
  • Wittmann Werner W., Hattrup Keith. The relationship between performance in dynamic systems and intelligence. Systems Research and Behavioral Science. 2004; 21 :393–409. doi: 10.1002/sres.653. [ CrossRef ] [ Google Scholar ]
  • Wu Hao, Molnár Gyöngyvér. Interactive problem solving: Assessment and relations to combinatorial and inductive reasoning. Journal of Psychological and Educational Research. 2018; 26 :90–105. [ Google Scholar ]
  • Wu Hao, Molnár Gyöngyvér. Logfile analyses of successful and unsuccessful strategy use in complex problem-solving: A cross-national comparison study. European Journal of Psychology of Education. 2021; 36 :1009–32. doi: 10.1007/s10212-020-00516-y. [ CrossRef ] [ Google Scholar ]
  • Wu Hao, Saleh Andi Rahmat, Molnár Gyöngyvér. Inductive and combinatorial reasoning in international educational context: Assessment, measurement invariance, and latent mean differences. Asia Pacific Education Review. 2022; 23 :297–310. doi: 10.1007/s12564-022-09750-z. [ CrossRef ] [ Google Scholar ]
  • Wüstenberg Sascha, Greiff Samuel, Funke Joachim. Complex problem solving—More than reasoning? Intelligence. 2012; 40 :1–14. doi: 10.1016/j.intell.2011.11.003. [ CrossRef ] [ Google Scholar ]
  • Wüstenberg Sascha, Greiff Samuel, Molnár Gyöngyvér, Funke Joachim. Cross-national gender differences in complex problem solving and their determinants. Learning and Individual Differences. 2014; 29 :18–29. doi: 10.1016/j.lindif.2013.10.006. [ CrossRef ] [ Google Scholar ]

Bridging the labor mismatch in US construction

The US construction sector seems set for a jobs boom. The US Bipartisan Infrastructure Law  projects $550 billion of new infrastructure investment over the next decade, which our modeling suggests could create 3.2 million new jobs across the nonresidential construction value chain. That’s approximately a 30 percent increase in the overall US nonresidential construction workforce, which would mean 300,000 to 600,000 new workers entering the sector—every year.

This is a big ask for an industry that is already struggling to find the people it needs. In October 2021, 402,000 construction positions 1 Included both nonresidential and residential construction openings. Further granularity is not available from the US Bureau of Labor Statistics. remained unfilled at the end of the month, the second-highest level recorded since data collection began in December 2000.

In this environment, wages have already increased significantly since the onset of the COVID-19 pandemic, reflecting intense competition for employees, with employers offering higher pay or other nonwage benefits. Between December 2019 and 2021, construction wages grew by 7.9 percent. 2 Quarterly Census of Employment and Wages, US Bureau of Labor Statistics. Competition from other sectors for the same pool of labor is heating up, too. For example, over the same period, transportation and warehousing wages grew by 12.6 percent. The prospect of higher pay and better working conditions is already tempting experienced workers away from construction and into these and other sectors.

No end in sight

Today’s mismatches are likely to persist because of structural shifts in the labor market. The relationship between job openings and unemployment has departed from historical trends. In January 2022—two years from the start of the pandemic—the US unemployment rate stood at 4.0 percent, close to its prepandemic level of 3.5 percent. Job openings remained exceptionally high, however, with 10.9 million unfilled positions as of the end of December 2021, compared with 5.9 million in December 2019.

This labor supply imbalance has multiple root causes, some shorter term and cyclical while others are more structural in nature. For example, the pandemic brought forward the retirements of many in the baby-boomer generation, with an estimated 3.2 million leaving the workforce in 2020—over a million more than in any year before 2016. According to the American Opportunity Survey , among those who are unemployed, concerns about physical health, mental health, and lack of childcare remain the dominant impediments preventing reentry into the workforce. Research on the “Great Attrition/Great Attraction”  also highlights the importance of nonwage components of the employee value proposition. Record job openings and quit rates highlight employees’ growing emphasis on feeling valued by their organization, supportive management, and flexibility and autonomy at work.

Additionally, the pipeline of new construction workers is not flowing as freely as it once did. Training programs have been slow to restart operations after pandemic-driven safety concerns led to their suspension the spring of 2020. The industry is finding it more difficult to attract the international workforce that has been an important source of talent for engineering, design, and contracting activities. Net migration has been falling since 2016, a trend accelerated by COVID-19 travel restrictions. 3 Population estimates, US Census Bureau. Between 2016 and 2021, net migration declined steadily from 1.06 million to 244,000.

Would you like to learn more about Capital Excellence ?

Impact on projects.

The interconnected nature of the construction value chain means that the labor mismatch generates knock-on effects across the project life cycle and supply chain. By late 2021, project owners were reporting that up to 25 percent of material deliveries to sites were either late or incomplete. In project execution, the combination of higher hourly rates, premiums and incentives, and overtime payments was resulting in overall labor costs as much as double prepandemic levels. Meanwhile, difficulty accessing skilled and experienced people was leading some owners to report project delays related to issues around the quality and productivity of on-site work.

In some US cities and their suburbs, wage growth has surpassed the level seen in core Gulf Coast counties at the height of the shale oil boom. Labor shortages in the shale sector drove wages up by 5 to 10 percent and were correlated with steep drops in productivity. The productivity of some tasks fell by 40 percent or more during shale construction peaks (exhibit), and overall productivity declined by about 40 percent per year when labor was in short supply. This forced owners to extend project timelines by 20 to 25 percent. The impact of a long-term, nationwide labor mismatch might be even more severe than the shale industry’s experience, given that oil companies were able to attract new workers from around the country.

Getting back into balance

The labor mismatch in the construction sector is bad today, and set to get worse. To avoid a decade or more of rising costs, falling productivity, and ever-increasing project delays, companies in the industry should consider thoughtful actions now.

Those actions could address three components of the challenge. First, companies could do everything possible to maximize productivity through measures aimed at improving efficiency across the value chain. Second, they could expand the pool of available labor by doubling down on accessing diverse talent and working harder to retain the employees already in their organization. Finally, they could consider making labor a strategic priority, with senior leadership attention within companies.

Improving construction productivity

Companies could access a range of levers to reduce the labor content required per job and drive to improve productivity in project development and delivery. Those levers involve changes to project designs and fresh thinking about when, where, and how work is done.

Improvements in productivity occur long before work starts on the ground. They include rigorous control of project scope, design simplification, and standardization. Increasing the use of off-site and modular construction , for example, could allow projects to capture multiple benefits, including accelerated design cycles; the greater productivity associated with industrialized, factory floor manufacturing techniques; automation; and less time spent on site.

Smarter execution management, enabled by digital technologies and analytics techniques could drive better, faster decision making during project delivery. Real-time data collection, for example, gives project managers earlier, more detailed insights about progress, allowing them to intervene more effectively to maintain productivity and keep projects on track. Intelligent simulation software allows teams to evaluate hundreds of thousands of possible critical paths, identifying approaches that could be more efficient or less risky than the conventional wisdom.

Lean construction is another proven way to drive significant and sustainable productivity improvements. Establishing a centralized, continuous improvement engine could enhance on-site execution through integrated planning, performance management, and waste elimination. Key stakeholders across the project work with a common, agreed set of key performance indicators. That allows them to address issues in real time and facilitates collaboration to reduce waste and variability work. Capability building across the planning and construction teams could help team members understand and adopt lean construction practices.

A big wave swallows the building

Here comes the 21st century’s first big investment wave. Is your capital strategy ready?

Reimagining talent.

To ensure access to the skills they need, construction sector companies can accelerate the onboarding of recruits, boost retention by revisiting what employees want beyond wages, and invest more in developing their pipelines of future workers.

In the near term, employers could prioritize review of job applications and reduce the number of steps in both the interview and onboarding process. In the medium term, both the public and private sectors could look to reduce hiring timelines and shift to a skills-based approach when hiring.

In the medium term, retaining current staff and attracting new talent will both turn on understanding of what employees value beyond wages. Competitive wages are now table stakes, so employees are thinking about a broader set of benefits and workplace characteristics when making decisions about where to work. Research on attrition in the postpandemic workplace  has shown that they are placing more emphasis on autonomy, flexibility, support, and upward mobility.

In the longer term, the construction industry can consider a new approach to talent attraction, development, and retention. Talent acquisition could begin early, through partnerships with educational institutions including universities, colleges, and high schools. These partnerships could boost awareness of the possibilities of a career in the sector and ensure future employees have appropriate skills prior to onboarding.

Companies could also look more widely for potential recruits, considering individuals who have taken alternative educational paths, such as technical degrees or hands-on experience. The Rework America Alliance , a Markle-led coalition in which McKinsey is a partner, illustrates the importance of skills-based, rather than credential-based, hiring. A skills-based perspective  is key to tapping into the talents of the 106 million workers who have built capabilities through experience but whose talents are often unrecognized because they don’t have a four-year college degree. A skills-based approach could be complemented by reimagining apprenticeships to bring younger students and vocational talent into the industry at an earlier stage in their careers.

Employers could consider working with a range of nontraditional sources of talent, including veteran-transition programs, formerly incarcerated individuals, and others. Homeboy Industries provides an example of the local impact, effectiveness, and potential of working with often overlooked population segments. Moreover, identifying and attracting talent from outside the traditional paths used by the construction industry could also help it to increase the diversity of its workforce. Today, 88 percent of the sector’s workforce is White and 89 percent is male. 4 Labor Force Statistics from the Current Population Survey Database, US Bureau of Labor Statistics, accessed March 10, 2022.

Looking at labor through a strategic lens

Labor and skills shortages have the potential to slow growth and erode profitability across the construction value chain. For C-suites, there’s no other single issue that could protect against significant cost erosion. Companies could consider establishing a systematic talent acquisition and retention program, led by a C-level executive and a core part of the CEO agenda. That program could first be tasked with building a robust fact base on current and emerging labor needs and availability gaps. It could then identify a bold set of initiatives that address labor-related issues across the value chain. This exercise starts in the boardroom, but it doesn’t stop there. Leadership will likely need to be increasingly present in the field and on the job site too, celebrating and recognizing top talent throughout the organization.

The labor challenge extends well beyond corporate boundaries. Since the successful delivery of a project could be jeopardized by labor shortages in a single value-chain participant, project owners and contractors may want to adapt the structure of project relationships and contracts. Moving away from traditional contracting methods to collaborative contracts , for example, allows participants to share market risks and opportunities as a project evolves, rather than baking in worst-case estimates at the outset of negotiations.

The US construction sector is poised to revitalize, replace, and expand the country’s infrastructure. Done right, that will power inclusive growth and set up the economy for success in the 21st century. To do so, the sector will need to address its labor challenges. That calls for the application of a diverse set of tools and approaches to create better jobs, get the most out of its people, and optimize agility and collaboration across the value chain.

Garo Hovnanian is a partner in McKinsey’s Philadelphia office, Ryan Luby is a senior knowledge expert in the New York office, and Shannon Peloquin is a partner in the Bay Area office.

The authors wish to thank Tim Bacon, Luis Campos, Roberto Charron, Justin Dahl, Rebecca de Sa, Bonnie Dowling, Bryan Hancock, Rawad Hasrouni, Adi Kumar, Jonathan Law, Michael Neary, Nikhil Patel, Gaby Pierre, Jose Maria Quiros, Kurt Schoeffler, Shubham Singhal, Stephanie Stefanski, Jennifer Volz, and Jonathan Ward for their contributions to this article.

Explore a career with us

Related articles.

A big wave swallows the building

America 2022 in charts: An economic opportunity snapshot

Photo of a hatched chicken perched near a cracked and runny egg

‘Great Attrition’ or ‘Great Attraction’? The choice is yours

IMAGES

  1. 8 Steps For Effective Problem Solving

    what is problem solving in research

  2. PPT

    what is problem solving in research

  3. 5 Problem Solving Strategies to Become a Better Problem Solver

    what is problem solving in research

  4. Problem Solving Methodology

    what is problem solving in research

  5. Problem solving infographic 10 steps concept Vector Image

    what is problem solving in research

  6. Three alternative approaches to solving the research problem of the

    what is problem solving in research

VIDEO

  1. Research Problem || Defining a research Problem || Research

  2. 2024 Desert Ag Research Symposium on Soil Health Opening Remarks and Morning Keynote

  3. Problem solving

  4. Research Process: Problems & identification

  5. 2024 Desert Ag Research Symposium on Soil Health: State Leaders Panel

  6. 2024 Desert Ag Research Symposium on Soil Health: Industry Stakeholders Panel

COMMENTS

  1. What is Problem Solving? Steps, Process & Techniques

    1. Define the problem. Diagnose the situation so that your focus is on the problem, not just its symptoms. Helpful problem-solving techniques include using flowcharts to identify the expected steps of a process and cause-and-effect diagrams to define and analyze root causes.. The sections below help explain key problem-solving steps.

  2. 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 ...

  3. The Problem-Solving Process

    Problem-solving is a mental process that involves discovering, analyzing, and solving problems. The ultimate goal of problem-solving is to overcome obstacles and find a solution that best resolves the issue. The best strategy for solving a problem depends largely on the unique situation. In some cases, people are better off learning everything ...

  4. Problem Solving

    Problem solving is the process of articulating solutions to problems. Problems have two critical attributes. First, a problem is an unknown in some context. That is, there is a situation in which there is something that is unknown (the difference between a goal state and a current state). Those situations vary from algorithmic math problems to ...

  5. Problems: Definition, Types, and Evidence

    The nature of human problem solving has been studied by psychologists over the past hundred years. Beginning with the early experimental work of the Gestalt psychologists in Germany, and continuing through the 1960s and early 1970s, research on problem solving typically operated with relatively simple laboratory problems, such as Duncker's famous "X-ray" problem and Ewert and Lambert's ...

  6. How to Define a Research Problem

    A research problem is a specific issue or gap in existing knowledge that you aim to address in your research. You may choose to look for practical problems aimed at contributing to change, or theoretical problems aimed at expanding knowledge. Some research will do both of these things, but usually the research problem focuses on one or the other.

  7. Problem Solving and Decision Making

    Research has generally approached problem solving by examining the behaviors and cognitive processes involved, and some work has examined problem solving using computational processes as well. Decision making is the process of selecting and choosing one action or behavior out of several alternatives.

  8. (PDF) The Nature of Problem Solving: Using Research to Inspire 21st

    Problem solving is at the heart of this, the capacity of an indi vidual to engage in. cognitive processing to understand and resolve prob lem situations where a method of solution is. not ...

  9. What is problem solving? A review of theory, research and applications

    Structured training or therapy programmes designed to develop cognitive problem-solving skills are now widely used in criminal justice and mental health settings. Method. This paper describes the conceptual origins and theoretical models on which such programmes are based, and provides a historical overview of their development.

  10. Problem solving

    Problem solving is the mental process of analyzing a situation, learning what options are available, and then choosing the alternative that will result in the desired outcome or some other ...

  11. The Research Problem/Question

    A research problem is a definite or clear expression [statement] about an area of concern, a condition to be improved upon, a difficulty to be eliminated, or a troubling question that exists in scholarly literature, in theory, or within existing practice that points to a need for meaningful understanding and deliberate investigation. A research ...

  12. (PDF) How Problem-Solving Really Works

    Problem-solving involves several steps carried out consecutively: 1) identifying and representing the problem at hand, 2) selecting and applying a suitable solution strategy, and 3) evaluating the ...

  13. How to Use Research to Solve Problems: A Step-by-Step Guide

    2 Gather information. The next step is to gather relevant and reliable information about the problem. You can use various sources and methods of research, such as books, articles, reports, surveys ...

  14. Full article: Understanding and explaining pedagogical problem solving

    1. Introduction. The focus of this paper is on understanding and explaining pedagogical problem solving. This theoretical paper builds on two previous studies (Riordan, Citation 2020; and Riordan, Hardman and Cumbers, Citation 2021) by introducing an 'extended Pedagogy Analysis Framework' and a 'Pedagogical Problem Typology' illustrating both with examples from video-based analysis of ...

  15. Complex Problem Solving: What It Is and What It Is Not

    Go to: Computer-simulated scenarios have been part of psychological research on problem solving for more than 40 years. The shift in emphasis from simple toy problems to complex, more real-life oriented problems has been accompanied by discussions about the best ways to assess the process of solving complex problems.

  16. What Is Problem Solving? Steps, Techniques, and Best ...

    How to Solve Problems: 5 Steps. 1. Precisely Identify Problems. As obvious as it seems, identifying the problem is the first step in the problem-solving process. Pinpointing a problem at the beginning of the process will guide your research, collaboration, and solutions in the right direction. At this stage, your task is to identify the scope ...

  17. What Are Problem-Solving Skills? Definition and Examples

    Problem-Solving Skills Definition. Problem-solving skills are the ability to identify problems, brainstorm and analyze answers, and implement the best solutions. An employee with good problem-solving skills is both a self-starter and a collaborative teammate; they are proactive in understanding the root of a problem and work with others to ...

  18. (PDF) Theory of Problem Solving

    The research also looks at three theories: engagement theory, problem-solving theory, and narrative-centered learning theory. These ideas are crucial to the creation of the game-based learning ...

  19. Problem solving through values: A challenge for thinking and capability

    Meanwhile, research in problem solving pays little attention to values. Most of the problem solving models (e.g., Newell & Simon, 1972; Jonassen, 1997) utilize a rational economic approach. Principally, the research on the mechanisms of problem solving have been conducted under laboratory conditions performing simple tasks (Csapó & Funke, 2017).

  20. Analysing Complex Problem-Solving Strategies from a Cognitive

    Complex problem solving (CPS) is considered to be one of the most important skills for successful learning. In an effort to explore the nature of CPS, this study aims to investigate the role of inductive reasoning (IR) and combinatorial reasoning (CR) in the problem-solving process of students using statistically distinguishable exploration strategies in the CPS environment.

  21. Master Research Problem Solving with These Tips

    1Identify Issues. The first step in addressing research problems is accurately identifying what those issues are. You need to ask the right questions and scrutinize the situation from multiple ...

  22. 2 Key Types of Market Research for Addressing Business Problems

    Problem-solving research helps identify ways to solve those problems through marketing mix and segmentation. Using research for problem identification and problem solving is essential when you want to make your company the best in its market. Classifying your problem should always come before attempting to solve them.

  23. What Are Problem-Solving Skills? Definitions and Examples

    Related: 3 Problem-Solving Activities for Team Building Problem-solving skills examples To solve a problem effectively, you will likely use a few different skills. Here are a few examples of skills you may use when solving a problem: Research Researching is an essential skill related to problem-solving.

  24. Why "the pinch" can become your greatest problem-solving tool

    We try to use those moments to refocus our attention and press on with renewed energy. We continually have to "pinch past" our perceptions of what's possible. We need to constantly challenge ...

  25. Research & Training Blog

    Improvement in Math Problem Solving is Moderated by Working Memory. Proceedings of the annual Research Council on Mathematics Learning (RCML) conference, Columbia, SC. Cragg, L., & Gilmore, C. (2014). Skills underlying mathematics: The role of executive function in the development of mathematics proficiency.

  26. Learn Structure Underlying Problem-Solving in Math

    When we imagine how students learn problem-solving skills, it is apparent that this is dependent on a combination of complex factors such as opportunities to work on similar problems, general expertise in the topic, other cognitive abilities, social factors, etc. ... Using this, we hope to build a general research platform that can be utilized ...

  27. 301 Moved Permanently

    301 Moved Permanently. openresty

  28. Solving US construction's worker shortage

    That's approximately a 30 percent increase in the overall US nonresidential construction workforce, which would mean 300,000 to 600,000 new workers entering the sector—every year. This is a big ask for an industry that is already struggling to find the people it needs. In October 2021, 402,000 construction positions 1 remained unfilled at ...

  29. An analytical adaptive optimal control approach without solving HJB

    This paper presents an analytical method to solve the optimal control problem for affine nonlinear systems with unknown drift dynamics. A new non-quadratic cost function over an infinite horizon is presented that considers input constraints and includes the cost of the feed-forward component of the control law.