analytical and logical approach to problem solving

Analytical Thinking, Critical Analysis, and Problem Solving Guide

• Post author: Samir Saif
• Post published: September 5, 2023
• Post category: marketing skills
• Post comments: 4 Comments
• Post last modified: November 10, 2023
• Reading time: 9 mins read

Analytical thinking; is a mental process that entails dissecting an issue or situation into its constituent parts, investigating their relationships, and reaching conclusions based on facts and logic.

It is not about trusting instincts or making assumptions; rather, it is about studying details, recognizing patterns, and developing a full understanding. Whether you’re a seasoned professional, an aspiring entrepreneur, or a curious mind, improving analytical thinking can help you solve problems more effectively.

Table of Contents

Analytical Thinking’s Importance in Problem Solving

Certainly! Analytical thinking entails the capacity to gather pertinent information, critically assess evidence, and reach logical conclusions. It enables you to:

• Identify Root Causes: Analytical thinking allows you to delve deeper into a problem to find the underlying causes rather than just addressing surface-level symptoms.
• Reduce Risks: Analytical thinking can help discover potential risks and obstacles connected with various solutions. This kind of thinking encourages constant progress and the generation of new ideas.
• Improve Communication: Analytical thinking enables you to deliver clear and well-structured explanations while giving answers to others.
• Adaptability : Analytical thinking gives you a flexible attitude.
• Learning and Development: Analytical thinking improves your cognitive skills, allowing you to learn from prior experiences and apply those lessons to new situations.
• Problem Prevention: By examining previous difficulties, you can find trends and patterns.
• Analytical thinking is, in essence, the foundation of effective problem-solving. It enables you to approach problems methodically, make well-informed judgments, and eventually get better results.

Key Components of Analytical Thinking

Analytical thinking is a multifaceted process including a beautifully woven tapestry of observation, inquiry, and logic. Engage your curiosity as you approach a complex task and see patterns emerge, similar to stars in the night sky.

These patterns direct your thinking toward greater comprehension. Your understanding grows as you progress, and your analytical thinking becomes a light of clarity, guiding people through the fog of complexity.

Your tapestry is complete as you approach the shores of conclusion, a tribute to the power of analytical thinking. Embrace your curiosity, navigate the waters of observation, and let the stars of logic guide you. Remember that the art of analytical thinking is a magnificent journey that leads to enlightenment.

Using analytical reasoning in real-life situations

Absolutely! Let’s get started with analytical thinking! Consider yourself in a busy city, attempting to discover the shortest route to your goal. Instead than taking the first option that comes to mind, you take a moment to think about your possibilities.

This is the initial stage in analytical thinking: evaluating the situation. As you contemplate, you balance the advantages and disadvantages of each route, taking into account issues such as traffic, distance, and potential bypasses. This information gathering approach assists you in making an informed decision.

Breaking down the problem

Then you go to the second phase, which entails breaking the problem down into smaller portions. You break down the difficult job of navigating the city into manageable components, much like a puzzle.

This technique allows you to identify future difficulties and devise creative solutions. For example, you may observe a construction zone on one route but recall a shortcut that may save you time.

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Analyzing the information

You employ critical thinking to assess the material you’ve received as you go. As you consider the significance of each component—time, distance, and traffic—patterns and connections emerge.

You begin to make connections and discover that, while a faster route may appear enticing, heavy traffic at certain times of day might make it a frustrating experience.

Make a decision

Making a decision in the last step necessitates a complete comprehension of the circumstance as well as critical analysis. Analytical thinking entails investigating alternatives, comprehending nuances, and making informed decisions.

This approach can lead to optimal, well-thought-out, and adaptable solutions, whether navigating a city, tackling a complex project, or making life decisions. Analytic thinking allows one to make informed judgments that benefit both the situation and the individual.

Strategies to Enhance Analytical Thinking Skills

Developing strong analytical thinking abilities is a journey that opens up new possibilities for comprehension and issue solving.

Consider yourself on an exciting mental journey where every challenge is an opportunity for improvement. Here’s a step-by-step guide to cultivating and improving your analytical thinking talents.

Accept curiosity

Begin by embracing your curiosity. Allow your thoughts to roam, pondering about the hows and whys of the world around you.

Allow yourself to immerse yourself completely in the complexities of a complex topic, such as climate change. “What are the underlying causes of this phenomenon?” Two decent places to start are “How do different variables interact to shape its outcomes?”.

Improve your observing abilities

Then, put your observation abilities to the test. Pay close attention to details that would otherwise go undetected. Instead of just gazing at the colors and shapes, try to figure out the brushstrokes, the play of light and shadow, and the feelings they create, as if you were studying a painting.

When analyzing data, look underneath the surface figures for trends, anomalies, and patterns that can reveal hidden insights.

Accept critical thinking

Learn to think critically as you progress. Examine your assumptions and look for alternative points of view. Assume you’re looking into a business problem, such as declining sales.

Instead than jumping to conclusions, investigate the matter from all angles. Consider changes in the sector, client preferences, and even internal corporate processes. This broader viewpoint can lead to creative solutions.

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Experiment with logical reasoning

Also, practice logical reasoning. Improve your ability to connect the dots and build logical chains of reasoning. As if you were assembling a jigsaw puzzle, each piece must fit snugly into the whole.

Consider how numerous variables such as population growth, infrastructure, and transportation systems logically interconnect when dealing with a complex issue such as urban congestion.

Improve your problem-solving skills

Develop your problem-solving abilities as well. For example, if you’re struggling with a personal issue, such as time management, break it down into smaller components. Analyze your daily routine to discover bottlenecks and develop a strategy to overcome them.

Foster continuous learning

Finally, encourage ongoing learning by broadening your knowledge base and investigating new domains. Imagine yourself as a discerning thinker analyzing the world’s intricacies and unraveling secrets.

Remember that progress, not perfection, is the goal. Every task, question, and conundrum you solve puts you one step closer to being an analytical juggernaut. Continue to explore and study to see your critical thinking skills soar to new heights.

Applying analytical reasoning to work

Assume you are a business owner who wants to boost client happiness. An analytical thinker would collect and analyze client input to uncover frequent pain issues.

You can adopt targeted adjustments that address the fundamental causes of unhappiness by detecting patterns in feedback data.

How can you demonstrate analytical skills on a resume?

Analytical skills on your CV can set you apart and leave a lasting impression on potential employers. Make your CV into a canvas, describing specific instances where your analytical skills were put to use.

Share how you methodically dissected a challenging topic or situation, revealing insights that aided your decision-making.

If you were tasked with optimizing a company’s supply chain, for example, dig further into data on inventory levels, production rates, and distribution deadlines.

Explain how your study found a bottleneck in the distribution network, leading to a realignment suggestion that saved the organization time and money.

Storytelling is key. Create a fascinating story about how your analytical abilities helped solve a tough problem, demonstrating your abilities and attracting the reader.

Your CV should read like a motivational trip through your analytical abilities, inspiring companies with your future contributions to their organization.

What is a case study of analytical thinking?

Absolutely! Let me give you an excellent example of analytical thinking that perfectly expresses its essence. Maya, a young scientist in this example, is dedicated to discovering a long-term solution for safe drinking water in rural areas.

She performs extensive research on water supplies, toxins, and local circumstances, looking for patterns and anomalies. She develops the concept that heavy rains increase runoff, resulting in higher levels of water contamination.

Maya designs controlled experiments in a lab setting to test her idea, acquiring quantifiable information through manipulation and observation.

Maya’s investigation continues, and she explores the big picture, imagining a multi-faceted solution that involves rainwater gathering, enhanced filtration systems, and community education.

She anticipates problems and works with engineers, social workers, and community leaders to refine her ideas and ensure their viability.

Her journey exemplifies how analytical thinking can lead to transformational solutions, and it motivates us to tackle complex challenges with curiosity, diligence, and the hope that careful analysis may design a better future.

Final Thoughts

Analytical thinking is more than just a cognitive skill; it’s a mindset that empowers you to unravel complexity, make informed choices, and navigate challenges with confidence.

You will be better able to handle the intricacies of the modern world as your analytical thinking skills increase, whether in business, academics, or daily life. Accept the power of analytical thinking, and your decision-making and problem-solving abilities will soar.

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What is Analytical Thinking: An Introduction

Get introduced to "Analytical Thinking" with this comprehensive blog. Delve into the core concept of analytical thinking, exploring its characteristics such as curiosity, systematic approach, problem-solving aptitude and open-mindedness. By the end of this exploration, you'll have a clear understanding of what analytical thinking is and why it's a crucial skill.

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Table of Contents  

1) What is Analytical Thinking? 

2) Why is Analytical Thinking important? 

3) Important elements of Analytical Thinking 

4) How to master Analytical Thinking?

5) Conclusion 

What is Analytical Thinking ?    

Analytical Thinking is the cognitive process of dissecting intricate problems, data, or situations into smaller components to discern patterns, relationships, and underlying principles. It involves critical observation, logical reasoning, and systematic analysis to arrive at informed conclusions or solutions.   

Why is Analytical Thinking important?

Informed decision-making 

At its core, Analytical Thinking equips individuals with the tools to dissect intricate scenarios, distil pertinent information, and make informed decisions. From someone pondering a career move, considering a significant investment to someone deciding on a course of action, Analytical Thinking allows you to assess the pros and cons, identify potential pitfalls, and forecast outcomes.  

Innovative problem solving 

Innovation often springs from the ability to connect disparate dots and unearth hidden solutions. Analytical thinkers possess the capability for dissecting complex problems, breaking them into manageable components, and reassembling them in novel ways. This cognitive dexterity breeds innovation, as it enables individuals to envision alternative paths and approaches that might otherwise remain concealed. 

Precise communication 

Clear and effective communication is essential in all walks of life. Analytical Thinking fosters the capacity to organise thoughts logically, structure arguments coherently, and present ideas with precision. Regardless of whether you're explaining a concept to a colleague, delivering a persuasive pitch, or writing a research paper, the analytical thinker's ability to present complex ideas succinctly and comprehensibly is an invaluable asset. 

Strategic planning 

From business strategies to personal goals, strategic planning hinges on the ability to anticipate outcomes, devise contingencies, and adapt to changing circumstances. Analytical Thinking lends itself to strategic prowess by enabling individuals to assess multiple variables, foresee potential roadblocks, and chart a course that maximises the likelihood of success. 

Critical evaluation 

In a world rife with misinformation and biased narratives, the skill of critical evaluation is more crucial than ever. Analytical Thinking empowers individuals to sift through a barrage of information, discern credible sources, and separate fact from fiction. This aptitude for discernment is a bulwark against being swayed by superficial allure or baseless assertions. 

Continuous improvement 

Analytical thinkers possess an innate curiosity that propels them towards constant learning and growth. They see challenges not as insurmountable obstacles but as opportunities for enhancement. This drive for self-improvement extends beyond their capabilities; analytical thinkers often seek to refine processes, systems, and products, contributing to advancing their fields and industries.

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Important Elements of Analytical Thinking    

Now that you know the meaning of Analytical Thinking, let's explore its characteristics. Analytical Thinking is more than a mere mental exercise; it's a unique cognitive approach that involves a specific set of traits and habits. Those with these characteristics are adept at dissecting complexities, drawing insights from data, and arriving at well-reasoned conclusions. Here are the key attributes that define Analytical thinkers:  

Curiosity and inquisitiveness  

Analytical Thinkers exhibit a natural curiosity about the world around them. They possess an insatiable desire to understand how things work and why they are the way they are. This curiosity fuels their exploration of concepts, data, and problems, leading them to uncover hidden connections and unexpected insights. 

Attention to detail  

One of the hallmarks of Analytical Thinking is an unwavering attention to detail. Analytical individuals have a knack for spotting even the minutest discrepancies, anomalies, or patterns within data or scenarios that might go unnoticed by others. This acute attention to detail is instrumental in identifying potential issues and crafting precise solutions. 

Systematic approach  

Analytical Thinkers approach problems methodically. They break down complex issues into manageable parts, which allows them to analyse each component individually before synthesising a comprehensive understanding. This systematic approach enables them to unravel intricate challenges and address them step by logically. 

Logical reasoning  

Logical reasoning is the bedrock of Analytical Thinking . Those who possess this trait are skilled at constructing and deconstructing arguments, identifying flaws in reasoning, and evaluating the validity of information. This ability helps them sift through the noise and reach well-founded conclusions based on evidence and logic. 

Pattern recognition  

Analytical Thinkers excel at recognising patterns and trends across various data sets or scenarios. They have an innate ability to identify similarities and differences, allowing them to generalise principles from specific instances and apply them to broader contexts. 

Critical thinking  

Critical thinking is a cornerstone of Analytical Thinking . Individuals with this characteristic are not content with accepting information at face value; they question assumptions, challenge norms, and seek underlying reasons. This intellectual rigour ensures that their conclusions are well-substantiated and comprehensive. 

Problem-solving aptitude  

Analytical Thinkers thrive on solving complex problems. They approach challenges with a blend of creativity and logic, devising innovative solutions that address the root causes rather than merely treating symptoms. Their ability to dissect problems and explore multiple angles empowers them to tackle even the most daunting issues.  

Open-mindedness  

While Analytical Thinkers possess strong reasoning skills, they also embrace open-mindedness. They acknowledge that not all problems have linear solutions and are willing to explore unconventional ideas and viewpoints. This adaptability allows them to adapt their approach when encountering new and unexpected scenarios. 

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How to master Analytical Thinking? 

In order to master your Analytical Thinking skills, you can adapt the following skills: 

1) Analysing information involves thoroughly examining data or a situation to identify crucial elements, assess their strengths and weaknesses, and leverage this understanding to construct a compelling argument, offer recommendations, or address a problem effectively.

2) Breaking down problems simplifies significant challenges by dividing them into more minor, manageable issues that are easier to solve individually.

3) Gathering information requires asking pertinent questions of oneself and others to gain valuable insights, facilitating more informed decision-making when tackling problems.

4) Identifying issues and problems involves honing the skill of recognising underlying issues or challenges through analysing trends, associations, and cause-effect relationships within datasets.

5) Identifying the root cause is conducting a thorough analysis to pinpoint the fundamental cause of a problem, ensuring that efforts are focused on addressing the actual issue rather than just its symptoms.

6) Organising information entails systematically arranging and integrating all collected data to derive insights and generate ideas, laying the groundwork for potential solutions to the problems at hand.

Conclusion  

Analytical Thinking emerges as an invaluable beacon in a world demanding ever-greater insight and adaptability. Its ability to unravel complexity, innovate solutions, and foster critical evaluation empowers individuals across diverse domains. By cultivating a curious mind, attention to detail and logic, we can get started on a journey of continuous improvement. Hope we could answer all your queries about “What is Analytical Thinking”! 

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Frequently Asked Questions

Here's how you can enhance Analytical Thinking skills:

a) Practice regularly: Solve puzzles and engage in analytical games.

b) Read widely: Explore diverse topics for a broader perspective.

c) Critical reflection: Reflect on experiences and decisions critically.

d) Ask questions: Challenge information and seek underlying reasons.

e) Break down issues: Analyse complex problems by breaking them into parts.

f) Seek feedback: Discuss analyses with peers for valuable insights.

g) Learn from mistakes: Analyse failures for continuous improvement.

h) Data literacy: Understand and interpret data for informed decisions.

i) Stay curious: Cultivate curiosity to explore various problem angles.

j) Take on projects: Apply analytical skills in practical scenarios for hands-on experience.

Analytical Thinking is vital for career growth, enabling strategic decision-making and effective problem-solving. It empowers professionals to navigate challenges, make informed decisions, and drive innovation. Those skilled in Analytical Thinking excel in strategic planning, problem-solving, and efficient decision-making. They contribute to organisational success by optimising operations, fostering innovation, and exhibiting leadership qualities. This skill enhances adaptability in dynamic environments, encourages continuous learning, and improves communication with diverse stakeholders.

 Individuals with strong analytical skills can create detailed plans, identify critical milestones, and allocate resources efficiently by breaking down complex projects into manageable components. This approach allows setting of precise timelines and realistic goal-setting. Analytical thinkers excel at anticipating potential challenges, enabling proactive problem-solving and risk mitigation. They prioritise tasks based on strategic importance and resource availability, ensuring optimal time utilisation. Additionally, Analytical Thinking aids in assessing project progress through data analysis, facilitating informed adjustments when necessary.

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Analytical Thinking and Reasoning are two concepts that are fundamental to the process of problem-solving. Analytical thinking involves breaking down a problem into its component parts, understanding how each part works, and then using this understanding to make connections between the parts and form a solution. Reasoning is the process of making arguments based on available evidence, facts, and logic. In today's world, analytical thinking and reasoning are essential skills that can be applied to a variety of contexts, from academic studies to professional endeavors. They can help us make sense of complex issues, solve difficult problems, and make informed decisions.

This type of thinking also allows for the development of creative solutions, which can be beneficial in a variety of contexts. Additionally, it fosters an environment where individuals are able to make informed decisions based on data, evidence and facts. To gain a better understanding of how analytical thinking and reasoning can be used in action, consider the following examples: When a doctor is presented with a patient’s medical history, they must use analytical thinking to diagnose the patient’s condition. By closely analyzing the symptoms, they can develop an accurate diagnosis and treatment plan. Similarly, when an engineer is presented with a structural design problem, they must use analytical thinking to break down the problem into its component parts in order to identify solutions.

Finally, when a manager is presented with a personnel issue, they must use analytical thinking to analyze the situation and identify the best course of action. In order to master analytical thinking and reasoning , it is important to practice and hone these skills. First, it is important to become familiar with the process of breaking down complex issues into smaller components. This can help identify patterns and relationships between the parts that can help formulate conclusions. Additionally, it is important to practice creative problem-solving techniques such as brainstorming and lateral thinking.

Finally, it is important to take time to evaluate all available information in order to make informed decisions. When applying analytical thinking and reasoning in various situations and contexts, it is important to consider the specific needs of each situation. For example, when evaluating a potential investment opportunity, it is important to consider both quantitative factors such as historical data and qualitative factors such as market trends. Additionally, it is important to consider other factors such as external influences that may affect the outcome of the decision. It is also important to take into account personal biases when making decisions so that they are not influenced by subjective factors. When using analytical thinking and reasoning, there are some common pitfalls that should be avoided.

What is Analytical Thinking and Reasoning?

Analytical thinking involves using a range of cognitive skills such as problem-solving, critical thinking, and decision-making. It is a skill that can be developed with practice. Analytical thinking differs from other forms of problem-solving in several ways. While problem-solving often focuses on solving an immediate issue, analytical thinking requires a longer-term approach. It requires taking a step back from the problem at hand to consider all relevant information and identify the underlying cause.

Common Pitfalls to Avoid When Using Analytical Thinking and Reasoning

Tips for mastering analytical thinking and reasoning, develop a structured approach to problem-solving:, think critically about data:, practice creative problem-solving:, benefits of analytical thinking and reasoning.

This allows for a more thorough analysis of a given situation and can lead to more accurate results. Analytical thinking and reasoning also enables individuals to think critically and solve problems in a more effective manner. By breaking down problems into smaller parts, it is easier to identify the causes of an issue as well as potential solutions. This can enable individuals to come up with creative solutions that they may not have thought of before.

Finally, analytical thinking and reasoning can improve decision making. By breaking down problems into their component parts and analyzing them, individuals can make better decisions based on their understanding of the situation. This can help individuals make more informed decisions that are more likely to produce positive outcomes. Overall, analytical thinking and reasoning offer a number of advantages that can benefit individuals in various contexts.

Examples of Analytical Thinking and Reasoning in Action

Analytical thinking and reasoning can be used in a variety of contexts, such as solving problems, making decisions, and understanding complex situations. In the field of science, for example, analytical thinking and reasoning can help scientists identify patterns in data and draw conclusions about their findings. In business, analytical thinking and reasoning can help executives make decisions based on the available data. In engineering, analytical thinking and reasoning can help engineers design efficient systems that meet the needs of their clients.

In addition to being used in different fields, analytical thinking and reasoning can also be applied to everyday situations. For example, when faced with a difficult decision or problem, analytical thinking can help individuals break down the issue into smaller components in order to better understand it. Similarly, analytical reasoning can help individuals weigh the pros and cons of different solutions in order to make an informed decision. By mastering analytical thinking and reasoning skills, individuals can become more effective problem-solvers and decision-makers.

Strategies for Applying Analytical Thinking and Reasoning in Various Situations

Additionally, understanding the logical connections between the components can help to form a clearer picture of the overall problem and lead to a more effective solution. Another important strategy for applying analytical thinking and reasoning is using logical reasoning to make decisions. This involves assessing all of the available information and weighing the pros and cons of each option before making a decision. Additionally, it is important to consider all potential outcomes before making a decision in order to ensure that the best possible choice is being made.

Finally, it is important to consider how to best use analytical thinking and reasoning in various contexts. For example, in a business setting, analytical thinking and reasoning can be used to identify patterns and trends in data, develop effective strategies for marketing campaigns, or create solutions for complex problems. In a more personal setting, analytical thinking and reasoning can be used to make decisions about how to best manage time or resources, or which career path to pursue. Analytical thinking and reasoning are important skills to have, as they can help with problem-solving and decision-making. It involves breaking down a problem into smaller parts in order to understand it better, and using logic and evidence to evaluate different solutions.

By understanding the definition of analytical thinking and reasoning, the benefits of using it, and examples of how it is used in practice, it is possible to develop the skills needed to become proficient in it. Additionally, by following tips for mastering analytical thinking and reasoning, as well as strategies for applying it in different contexts, it is possible to become more proficient in this skill. To ensure successful use of analytical thinking and reasoning, it is also important to be aware of common pitfalls that can arise.

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• Problem Solving and Analytical Skills
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How to develop and demonstrate your problem-solving skills

Analytical and critical thinking skills, why employers want these skills, examples of how analytical or problem solving skills can be developed or evidenced, final thought....

• Self-motivation & Initiative
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We all solve problems on a daily basis, in academic situations, at work and in our day-to-day lives.  Some of the problems that are typically faced by students include: 

• Putting together an argument for an essay
• Dealing with an awkward customer when working part-time in a shop or restaurant
• Thinking about how you are going to manage your budget to keep you going until the end of term
• Working out why your printer won’t respond
• Developing a strategy to reach the next level of a computer game.

Any job will also bring problems to be faced. It is important to show to a recruiter that you have the right skills to resolve these problems, and the personal resilience to handle the challenges and pressure they may bring. You need to be able to: 

• Evaluate information or situations
• Break them down into their key components
• Consider various ways of approaching and resolving them
• Decide on the most appropriate of these ways

Solving these problems involves both analytical and creative skills . Which particular skills are needed will vary, depending on the problem and your role in the organisation, but the following skills are key to problem-solving:

• Lateral Thinking
• Logical Reasoning
• Persistence 

Analytical and critical thinking skills help you to evaluate the problem and to make decisions. A l ogical and methodical approach is best in some circumstances: for example, you will need to be able to draw on your academic or subject knowledge to identify solutions of a practical or technical nature.  In other situations, using creativity or l ateral thinking will be necessary to come up with ideas for resolving the problem and find fresh approaches  Not everyone has these two types of skills in equal measure: for this reason, team working is often a key component in problem-solving. Further skills, such as communication, persuasion and negotiation , are important in finding solutions to problems involving people.

Whatever issue you are faced with, some steps are fundamental: 

• I dentify the problem
• D efine the problem
• E xamine the options
• A ct on a plan
• L ook at the consequences

This is the IDEAL model of problem-solving.  The final stage is to put the solution you have decided on into practice and check the results. 

Any workplace, project or task will have challenges or obstacles which need to be overcome. If an organisation employs people who are adept at solving problems at all levels, it reduces the need for complex chains of command or lessens demand on managers' time. In short, it will help save time and therefore money.  Analytical skills are perhaps becoming increasingly important; we are all bombarded with huge amounts of information every day. Being able to quickly yet comprehensively identify and evaluate the most important or relevant information for the organisation or your specific job role will be an increasingly useful skill. 

• Leisure activities (e.g. chess, logic games, computing).
• Overcoming obstacles to achieve an ambition or goal.
• Working in a customer environment and resolving complaints, particularly in situations where there is no protocol.
• Research (e.g. for essays or projects, or within the workplace).
• Particular achievements in the workplace (e.g. devising new working practices to improve efficiency, information systems development, diagnosing and rectifying faults or issues).
• Creative solutions to coursework problems.
• Identifying appropriate source material for assignments. 

A large cosmetics company had a problem in that some of the soap boxes coming off the production lines were empty. The problem was quickly isolated to the assembly line, which transported the packaged boxes of soap to the delivery department: some soap boxes went through the assembly line empty. The management asked its engineers to solve the problem. They spent much time and money in designing a machine with high-resolution monitors manned by staff; to scan all the boxes on the line to make sure they weren't empty.  A workman hearing about this, came up with another solution. He got a powerful industrial fan and pointed it at the assembly line. As each soap box passed the fan, the empty boxes were blown off the line. Moral: the simplest solution is usually the best!

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48 Problem Solving

Department of Psychological and Brain Sciences, University of California, Santa Barbara

• Published: 03 June 2013
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Problem solving refers to cognitive processing directed at achieving a goal when the problem solver does not initially know a solution method. A problem exists when someone has a goal but does not know how to achieve it. Problems can be classified as routine or nonroutine, and as well defined or ill defined. The major cognitive processes in problem solving are representing, planning, executing, and monitoring. The major kinds of knowledge required for problem solving are facts, concepts, procedures, strategies, and beliefs. Classic theoretical approaches to the study of problem solving are associationism, Gestalt, and information processing. Current issues and suggested future issues include decision making, intelligence and creativity, teaching of thinking skills, expert problem solving, analogical reasoning, mathematical and scientific thinking, everyday thinking, and the cognitive neuroscience of problem solving. Common themes concern the domain specificity of problem solving and a focus on problem solving in authentic contexts.

The study of problem solving begins with defining problem solving, problem, and problem types. This introduction to problem solving is rounded out with an examination of cognitive processes in problem solving, the role of knowledge in problem solving, and historical approaches to the study of problem solving.

Definition of Problem Solving

Problem solving refers to cognitive processing directed at achieving a goal for which the problem solver does not initially know a solution method. This definition consists of four major elements (Mayer, 1992 ; Mayer & Wittrock, 2006 ):

Cognitive —Problem solving occurs within the problem solver’s cognitive system and can only be inferred indirectly from the problem solver’s behavior (including biological changes, introspections, and actions during problem solving). Process —Problem solving involves mental computations in which some operation is applied to a mental representation, sometimes resulting in the creation of a new mental representation. Directed —Problem solving is aimed at achieving a goal. Personal —Problem solving depends on the existing knowledge of the problem solver so that what is a problem for one problem solver may not be a problem for someone who already knows a solution method.

The definition is broad enough to include a wide array of cognitive activities such as deciding which apartment to rent, figuring out how to use a cell phone interface, playing a game of chess, making a medical diagnosis, finding the answer to an arithmetic word problem, or writing a chapter for a handbook. Problem solving is pervasive in human life and is crucial for human survival. Although this chapter focuses on problem solving in humans, problem solving also occurs in nonhuman animals and in intelligent machines.

How is problem solving related to other forms of high-level cognition processing, such as thinking and reasoning? Thinking refers to cognitive processing in individuals but includes both directed thinking (which corresponds to the definition of problem solving) and undirected thinking such as daydreaming (which does not correspond to the definition of problem solving). Thus, problem solving is a type of thinking (i.e., directed thinking).

Reasoning refers to problem solving within specific classes of problems, such as deductive reasoning or inductive reasoning. In deductive reasoning, the reasoner is given premises and must derive a conclusion by applying the rules of logic. For example, given that “A is greater than B” and “B is greater than C,” a reasoner can conclude that “A is greater than C.” In inductive reasoning, the reasoner is given (or has experienced) a collection of examples or instances and must infer a rule. For example, given that X, C, and V are in the “yes” group and x, c, and v are in the “no” group, the reasoning may conclude that B is in “yes” group because it is in uppercase format. Thus, reasoning is a type of problem solving.

Definition of Problem

A problem occurs when someone has a goal but does not know to achieve it. This definition is consistent with how the Gestalt psychologist Karl Duncker ( 1945 , p. 1) defined a problem in his classic monograph, On Problem Solving : “A problem arises when a living creature has a goal but does not know how this goal is to be reached.” However, today researchers recognize that the definition should be extended to include problem solving by intelligent machines. This definition can be clarified using an information processing approach by noting that a problem occurs when a situation is in the given state, the problem solver wants the situation to be in the goal state, and there is no obvious way to move from the given state to the goal state (Newell & Simon, 1972 ). Accordingly, the three main elements in describing a problem are the given state (i.e., the current state of the situation), the goal state (i.e., the desired state of the situation), and the set of allowable operators (i.e., the actions the problem solver is allowed to take). The definition of “problem” is broad enough to include the situation confronting a physician who wishes to make a diagnosis on the basis of preliminary tests and a patient examination, as well as a beginning physics student trying to solve a complex physics problem.

Types of Problems

It is customary in the problem-solving literature to make a distinction between routine and nonroutine problems. Routine problems are problems that are so familiar to the problem solver that the problem solver knows a solution method. For example, for most adults, “What is 365 divided by 12?” is a routine problem because they already know the procedure for long division. Nonroutine problems are so unfamiliar to the problem solver that the problem solver does not know a solution method. For example, figuring out the best way to set up a funding campaign for a nonprofit charity is a nonroutine problem for most volunteers. Technically, routine problems do not meet the definition of problem because the problem solver has a goal but knows how to achieve it. Much research on problem solving has focused on routine problems, although most interesting problems in life are nonroutine.

Another customary distinction is between well-defined and ill-defined problems. Well-defined problems have a clearly specified given state, goal state, and legal operators. Examples include arithmetic computation problems or games such as checkers or tic-tac-toe. Ill-defined problems have a poorly specified given state, goal state, or legal operators, or a combination of poorly defined features. Examples include solving the problem of global warming or finding a life partner. Although, ill-defined problems are more challenging, much research in problem solving has focused on well-defined problems.

Cognitive Processes in Problem Solving

The process of problem solving can be broken down into two main phases: problem representation , in which the problem solver builds a mental representation of the problem situation, and problem solution , in which the problem solver works to produce a solution. The major subprocess in problem representation is representing , which involves building a situation model —that is, a mental representation of the situation described in the problem. The major subprocesses in problem solution are planning , which involves devising a plan for how to solve the problem; executing , which involves carrying out the plan; and monitoring , which involves evaluating and adjusting one’s problem solving.

For example, given an arithmetic word problem such as “Alice has three marbles. Sarah has two more marbles than Alice. How many marbles does Sarah have?” the process of representing involves building a situation model in which Alice has a set of marbles, there is set of marbles for the difference between the two girls, and Sarah has a set of marbles that consists of Alice’s marbles and the difference set. In the planning process, the problem solver sets a goal of adding 3 and 2. In the executing process, the problem solver carries out the computation, yielding an answer of 5. In the monitoring process, the problem solver looks over what was done and concludes that 5 is a reasonable answer. In most complex problem-solving episodes, the four cognitive processes may not occur in linear order, but rather may interact with one another. Although some research focuses mainly on the execution process, problem solvers may tend to have more difficulty with the processes of representing, planning, and monitoring.

Knowledge for Problem Solving

An important theme in problem-solving research is that problem-solving proficiency on any task depends on the learner’s knowledge (Anderson et al., 2001 ; Mayer, 1992 ). Five kinds of knowledge are as follows:

Facts —factual knowledge about the characteristics of elements in the world, such as “Sacramento is the capital of California” Concepts —conceptual knowledge, including categories, schemas, or models, such as knowing the difference between plants and animals or knowing how a battery works Procedures —procedural knowledge of step-by-step processes, such as how to carry out long-division computations Strategies —strategic knowledge of general methods such as breaking a problem into parts or thinking of a related problem Beliefs —attitudinal knowledge about how one’s cognitive processing works such as thinking, “I’m good at this”

Although some research focuses mainly on the role of facts and procedures in problem solving, complex problem solving also depends on the problem solver’s concepts, strategies, and beliefs (Mayer, 1992 ).

Historical Approaches to Problem Solving

Psychological research on problem solving began in the early 1900s, as an outgrowth of mental philosophy (Humphrey, 1963 ; Mandler & Mandler, 1964 ). Throughout the 20th century four theoretical approaches developed: early conceptions, associationism, Gestalt psychology, and information processing.

Early Conceptions

The start of psychology as a science can be set at 1879—the year Wilhelm Wundt opened the first world’s psychology laboratory in Leipzig, Germany, and sought to train the world’s first cohort of experimental psychologists. Instead of relying solely on philosophical speculations about how the human mind works, Wundt sought to apply the methods of experimental science to issues addressed in mental philosophy. His theoretical approach became structuralism —the analysis of consciousness into its basic elements.

Wundt’s main contribution to the study of problem solving, however, was to call for its banishment. According to Wundt, complex cognitive processing was too complicated to be studied by experimental methods, so “nothing can be discovered in such experiments” (Wundt, 1911/1973 ). Despite his admonishments, however, a group of his former students began studying thinking mainly in Wurzburg, Germany. Using the method of introspection, subjects were asked to describe their thought process as they solved word association problems, such as finding the superordinate of “newspaper” (e.g., an answer is “publication”). Although the Wurzburg group—as they came to be called—did not produce a new theoretical approach, they found empirical evidence that challenged some of the key assumptions of mental philosophy. For example, Aristotle had proclaimed that all thinking involves mental imagery, but the Wurzburg group was able to find empirical evidence for imageless thought .

Associationism

The first major theoretical approach to take hold in the scientific study of problem solving was associationism —the idea that the cognitive representations in the mind consist of ideas and links between them and that cognitive processing in the mind involves following a chain of associations from one idea to the next (Mandler & Mandler, 1964 ; Mayer, 1992 ). For example, in a classic study, E. L. Thorndike ( 1911 ) placed a hungry cat in what he called a puzzle box—a wooden crate in which pulling a loop of string that hung from overhead would open a trap door to allow the cat to escape to a bowl of food outside the crate. Thorndike placed the cat in the puzzle box once a day for several weeks. On the first day, the cat engaged in many extraneous behaviors such as pouncing against the wall, pushing its paws through the slats, and meowing, but on successive days the number of extraneous behaviors tended to decrease. Overall, the time required to get out of the puzzle box decreased over the course of the experiment, indicating the cat was learning how to escape.

Thorndike’s explanation for how the cat learned to solve the puzzle box problem is based on an associationist view: The cat begins with a habit family hierarchy —a set of potential responses (e.g., pouncing, thrusting, meowing, etc.) all associated with the same stimulus (i.e., being hungry and confined) and ordered in terms of strength of association. When placed in the puzzle box, the cat executes its strongest response (e.g., perhaps pouncing against the wall), but when it fails, the strength of the association is weakened, and so on for each unsuccessful action. Eventually, the cat gets down to what was initially a weak response—waving its paw in the air—but when that response leads to accidentally pulling the string and getting out, it is strengthened. Over the course of many trials, the ineffective responses become weak and the successful response becomes strong. Thorndike refers to this process as the law of effect : Responses that lead to dissatisfaction become less associated with the situation and responses that lead to satisfaction become more associated with the situation. According to Thorndike’s associationist view, solving a problem is simply a matter of trial and error and accidental success. A major challenge to assocationist theory concerns the nature of transfer—that is, where does a problem solver find a creative solution that has never been performed before? Associationist conceptions of cognition can be seen in current research, including neural networks, connectionist models, and parallel distributed processing models (Rogers & McClelland, 2004 ).

Gestalt Psychology

The Gestalt approach to problem solving developed in the 1930s and 1940s as a counterbalance to the associationist approach. According to the Gestalt approach, cognitive representations consist of coherent structures (rather than individual associations) and the cognitive process of problem solving involves building a coherent structure (rather than strengthening and weakening of associations). For example, in a classic study, Kohler ( 1925 ) placed a hungry ape in a play yard that contained several empty shipping crates and a banana attached overhead but out of reach. Based on observing the ape in this situation, Kohler noted that the ape did not randomly try responses until one worked—as suggested by Thorndike’s associationist view. Instead, the ape stood under the banana, looked up at it, looked at the crates, and then in a flash of insight stacked the crates under the bananas as a ladder, and walked up the steps in order to reach the banana.

According to Kohler, the ape experienced a sudden visual reorganization in which the elements in the situation fit together in a way to solve the problem; that is, the crates could become a ladder that reduces the distance to the banana. Kohler referred to the underlying mechanism as insight —literally seeing into the structure of the situation. A major challenge of Gestalt theory is its lack of precision; for example, naming a process (i.e., insight) is not the same as explaining how it works. Gestalt conceptions can be seen in modern research on mental models and schemas (Gentner & Stevens, 1983 ).

Information Processing

The information processing approach to problem solving developed in the 1960s and 1970s and was based on the influence of the computer metaphor—the idea that humans are processors of information (Mayer, 2009 ). According to the information processing approach, problem solving involves a series of mental computations—each of which consists of applying a process to a mental representation (such as comparing two elements to determine whether they differ).

In their classic book, Human Problem Solving , Newell and Simon ( 1972 ) proposed that problem solving involved a problem space and search heuristics . A problem space is a mental representation of the initial state of the problem, the goal state of the problem, and all possible intervening states (based on applying allowable operators). Search heuristics are strategies for moving through the problem space from the given to the goal state. Newell and Simon focused on means-ends analysis , in which the problem solver continually sets goals and finds moves to accomplish goals.

Newell and Simon used computer simulation as a research method to test their conception of human problem solving. First, they asked human problem solvers to think aloud as they solved various problems such as logic problems, chess, and cryptarithmetic problems. Then, based on an information processing analysis, Newell and Simon created computer programs that solved these problems. In comparing the solution behavior of humans and computers, they found high similarity, suggesting that the computer programs were solving problems using the same thought processes as humans.

An important advantage of the information processing approach is that problem solving can be described with great clarity—as a computer program. An important limitation of the information processing approach is that it is most useful for describing problem solving for well-defined problems rather than ill-defined problems. The information processing conception of cognition lives on as a keystone of today’s cognitive science (Mayer, 2009 ).

Classic Issues in Problem Solving

Three classic issues in research on problem solving concern the nature of transfer (suggested by the associationist approach), the nature of insight (suggested by the Gestalt approach), and the role of problem-solving heuristics (suggested by the information processing approach).

Transfer refers to the effects of prior learning on new learning (or new problem solving). Positive transfer occurs when learning A helps someone learn B. Negative transfer occurs when learning A hinders someone from learning B. Neutral transfer occurs when learning A has no effect on learning B. Positive transfer is a central goal of education, but research shows that people often do not transfer what they learned to solving problems in new contexts (Mayer, 1992 ; Singley & Anderson, 1989 ).

Three conceptions of the mechanisms underlying transfer are specific transfer , general transfer , and specific transfer of general principles . Specific transfer refers to the idea that learning A will help someone learn B only if A and B have specific elements in common. For example, learning Spanish may help someone learn Latin because some of the vocabulary words are similar and the verb conjugation rules are similar. General transfer refers to the idea that learning A can help someone learn B even they have nothing specifically in common but A helps improve the learner’s mind in general. For example, learning Latin may help people learn “proper habits of mind” so they are better able to learn completely unrelated subjects as well. Specific transfer of general principles is the idea that learning A will help someone learn B if the same general principle or solution method is required for both even if the specific elements are different.

In a classic study, Thorndike and Woodworth ( 1901 ) found that students who learned Latin did not subsequently learn bookkeeping any better than students who had not learned Latin. They interpreted this finding as evidence for specific transfer—learning A did not transfer to learning B because A and B did not have specific elements in common. Modern research on problem-solving transfer continues to show that people often do not demonstrate general transfer (Mayer, 1992 ). However, it is possible to teach people a general strategy for solving a problem, so that when they see a new problem in a different context they are able to apply the strategy to the new problem (Judd, 1908 ; Mayer, 2008 )—so there is also research support for the idea of specific transfer of general principles.

Insight refers to a change in a problem solver’s mind from not knowing how to solve a problem to knowing how to solve it (Mayer, 1995 ; Metcalfe & Wiebe, 1987 ). In short, where does the idea for a creative solution come from? A central goal of problem-solving research is to determine the mechanisms underlying insight.

The search for insight has led to five major (but not mutually exclusive) explanatory mechanisms—insight as completing a schema, insight as suddenly reorganizing visual information, insight as reformulation of a problem, insight as removing mental blocks, and insight as finding a problem analog (Mayer, 1995 ). Completing a schema is exemplified in a study by Selz (Fridja & de Groot, 1982 ), in which people were asked to think aloud as they solved word association problems such as “What is the superordinate for newspaper?” To solve the problem, people sometimes thought of a coordinate, such as “magazine,” and then searched for a superordinate category that subsumed both terms, such as “publication.” According to Selz, finding a solution involved building a schema that consisted of a superordinate and two subordinate categories.

Reorganizing visual information is reflected in Kohler’s ( 1925 ) study described in a previous section in which a hungry ape figured out how to stack boxes as a ladder to reach a banana hanging above. According to Kohler, the ape looked around the yard and found the solution in a flash of insight by mentally seeing how the parts could be rearranged to accomplish the goal.

Reformulating a problem is reflected in a classic study by Duncker ( 1945 ) in which people are asked to think aloud as they solve the tumor problem—how can you destroy a tumor in a patient without destroying surrounding healthy tissue by using rays that at sufficient intensity will destroy any tissue in their path? In analyzing the thinking-aloud protocols—that is, transcripts of what the problem solvers said—Duncker concluded that people reformulated the goal in various ways (e.g., avoid contact with healthy tissue, immunize healthy tissue, have ray be weak in healthy tissue) until they hit upon a productive formulation that led to the solution (i.e., concentrating many weak rays on the tumor).

Removing mental blocks is reflected in classic studies by Duncker ( 1945 ) in which solving a problem involved thinking of a novel use for an object, and by Luchins ( 1942 ) in which solving a problem involved not using a procedure that had worked well on previous problems. Finding a problem analog is reflected in classic research by Wertheimer ( 1959 ) in which learning to find the area of a parallelogram is supported by the insight that one could cut off the triangle on one side and place it on the other side to form a rectangle—so a parallelogram is really a rectangle in disguise. The search for insight along each of these five lines continues in current problem-solving research.

Heuristics are problem-solving strategies, that is, general approaches to how to solve problems. Newell and Simon ( 1972 ) suggested three general problem-solving heuristics for moving from a given state to a goal state: random trial and error , hill climbing , and means-ends analysis . Random trial and error involves randomly selecting a legal move and applying it to create a new problem state, and repeating that process until the goal state is reached. Random trial and error may work for simple problems but is not efficient for complex ones. Hill climbing involves selecting the legal move that moves the problem solver closer to the goal state. Hill climbing will not work for problems in which the problem solver must take a move that temporarily moves away from the goal as is required in many problems.

Means-ends analysis involves creating goals and seeking moves that can accomplish the goal. If a goal cannot be directly accomplished, a subgoal is created to remove one or more obstacles. Newell and Simon ( 1972 ) successfully used means-ends analysis as the search heuristic in a computer program aimed at general problem solving, that is, solving a diverse collection of problems. However, people may also use specific heuristics that are designed to work for specific problem-solving situations (Gigerenzer, Todd, & ABC Research Group, 1999 ; Kahneman & Tversky, 1984 ).

Current and Future Issues in Problem Solving

Eight current issues in problem solving involve decision making, intelligence and creativity, teaching of thinking skills, expert problem solving, analogical reasoning, mathematical and scientific problem solving, everyday thinking, and the cognitive neuroscience of problem solving.

Decision Making

Decision making refers to the cognitive processing involved in choosing between two or more alternatives (Baron, 2000 ; Markman & Medin, 2002 ). For example, a decision-making task may involve choosing between getting $240 for sure or having a 25% change of getting $1000. According to economic theories such as expected value theory, people should chose the second option, which is worth $250 (i.e., .25 x $1000) rather than the first option, which is worth $240 (1.00 x $240), but psychological research shows that most people prefer the first option (Kahneman & Tversky, 1984 ).

Research on decision making has generated three classes of theories (Markman & Medin, 2002 ): descriptive theories, such as prospect theory (Kahneman & Tversky), which are based on the ideas that people prefer to overweight the cost of a loss and tend to overestimate small probabilities; heuristic theories, which are based on the idea that people use a collection of short-cut strategies such as the availability heuristic (Gigerenzer et al., 1999 ; Kahneman & Tversky, 2000 ); and constructive theories, such as mental accounting (Kahneman & Tversky, 2000 ), in which people build a narrative to justify their choices to themselves. Future research is needed to examine decision making in more realistic settings.

Intelligence and Creativity

Although researchers do not have complete consensus on the definition of intelligence (Sternberg, 1990 ), it is reasonable to view intelligence as the ability to learn or adapt to new situations. Fluid intelligence refers to the potential to solve problems without any relevant knowledge, whereas crystallized intelligence refers to the potential to solve problems based on relevant prior knowledge (Sternberg & Gregorenko, 2003 ). As people gain more experience in a field, their problem-solving performance depends more on crystallized intelligence (i.e., domain knowledge) than on fluid intelligence (i.e., general ability) (Sternberg & Gregorenko, 2003 ). The ability to monitor and manage one’s cognitive processing during problem solving—which can be called metacognition —is an important aspect of intelligence (Sternberg, 1990 ). Research is needed to pinpoint the knowledge that is needed to support intelligent performance on problem-solving tasks.

Creativity refers to the ability to generate ideas that are original (i.e., other people do not think of the same idea) and functional (i.e., the idea works; Sternberg, 1999 ). Creativity is often measured using tests of divergent thinking —that is, generating as many solutions as possible for a problem (Guilford, 1967 ). For example, the uses test asks people to list as many uses as they can think of for a brick. Creativity is different from intelligence, and it is at the heart of creative problem solving—generating a novel solution to a problem that the problem solver has never seen before. An important research question concerns whether creative problem solving depends on specific knowledge or creativity ability in general.

Teaching of Thinking Skills

How can people learn to be better problem solvers? Mayer ( 2008 ) proposes four questions concerning teaching of thinking skills:

What to teach —Successful programs attempt to teach small component skills (such as how to generate and evaluate hypotheses) rather than improve the mind as a single monolithic skill (Covington, Crutchfield, Davies, & Olton, 1974 ). How to teach —Successful programs focus on modeling the process of problem solving rather than solely reinforcing the product of problem solving (Bloom & Broder, 1950 ). Where to teach —Successful programs teach problem-solving skills within the specific context they will be used rather than within a general course on how to solve problems (Nickerson, 1999 ). When to teach —Successful programs teaching higher order skills early rather than waiting until lower order skills are completely mastered (Tharp & Gallimore, 1988 ).

Overall, research on teaching of thinking skills points to the domain specificity of problem solving; that is, successful problem solving depends on the problem solver having domain knowledge that is relevant to the problem-solving task.

Expert Problem Solving

Research on expertise is concerned with differences between how experts and novices solve problems (Ericsson, Feltovich, & Hoffman, 2006 ). Expertise can be defined in terms of time (e.g., 10 years of concentrated experience in a field), performance (e.g., earning a perfect score on an assessment), or recognition (e.g., receiving a Nobel Prize or becoming Grand Master in chess). For example, in classic research conducted in the 1940s, de Groot ( 1965 ) found that chess experts did not have better general memory than chess novices, but they did have better domain-specific memory for the arrangement of chess pieces on the board. Chase and Simon ( 1973 ) replicated this result in a better controlled experiment. An explanation is that experts have developed schemas that allow them to chunk collections of pieces into a single configuration.

In another landmark study, Larkin et al. ( 1980 ) compared how experts (e.g., physics professors) and novices (e.g., first-year physics students) solved textbook physics problems about motion. Experts tended to work forward from the given information to the goal, whereas novices tended to work backward from the goal to the givens using a means-ends analysis strategy. Experts tended to store their knowledge in an integrated way, whereas novices tended to store their knowledge in isolated fragments. In another study, Chi, Feltovich, and Glaser ( 1981 ) found that experts tended to focus on the underlying physics concepts (such as conservation of energy), whereas novices tended to focus on the surface features of the problem (such as inclined planes or springs). Overall, research on expertise is useful in pinpointing what experts know that is different from what novices know. An important theme is that experts rely on domain-specific knowledge rather than solely general cognitive ability.

Analogical Reasoning

Analogical reasoning occurs when people solve one problem by using their knowledge about another problem (Holyoak, 2005 ). For example, suppose a problem solver learns how to solve a problem in one context using one solution method and then is given a problem in another context that requires the same solution method. In this case, the problem solver must recognize that the new problem has structural similarity to the old problem (i.e., it may be solved by the same method), even though they do not have surface similarity (i.e., the cover stories are different). Three steps in analogical reasoning are recognizing —seeing that a new problem is similar to a previously solved problem; abstracting —finding the general method used to solve the old problem; and mapping —using that general method to solve the new problem.

Research on analogical reasoning shows that people often do not recognize that a new problem can be solved by the same method as a previously solved problem (Holyoak, 2005 ). However, research also shows that successful analogical transfer to a new problem is more likely when the problem solver has experience with two old problems that have the same underlying structural features (i.e., they are solved by the same principle) but different surface features (i.e., they have different cover stories) (Holyoak, 2005 ). This finding is consistent with the idea of specific transfer of general principles as described in the section on “Transfer.”

Mathematical and Scientific Problem Solving

Research on mathematical problem solving suggests that five kinds of knowledge are needed to solve arithmetic word problems (Mayer, 2008 ):

Factual knowledge —knowledge about the characteristics of problem elements, such as knowing that there are 100 cents in a dollar Schematic knowledge —knowledge of problem types, such as being able to recognize time-rate-distance problems Strategic knowledge —knowledge of general methods, such as how to break a problem into parts Procedural knowledge —knowledge of processes, such as how to carry our arithmetic operations Attitudinal knowledge —beliefs about one’s mathematical problem-solving ability, such as thinking, “I am good at this”

People generally possess adequate procedural knowledge but may have difficulty in solving mathematics problems because they lack factual, schematic, strategic, or attitudinal knowledge (Mayer, 2008 ). Research is needed to pinpoint the role of domain knowledge in mathematical problem solving.

Research on scientific problem solving shows that people harbor misconceptions, such as believing that a force is needed to keep an object in motion (McCloskey, 1983 ). Learning to solve science problems involves conceptual change, in which the problem solver comes to recognize that previous conceptions are wrong (Mayer, 2008 ). Students can be taught to engage in scientific reasoning such as hypothesis testing through direct instruction in how to control for variables (Chen & Klahr, 1999 ). A central theme of research on scientific problem solving concerns the role of domain knowledge.

Everyday Thinking

Everyday thinking refers to problem solving in the context of one’s life outside of school. For example, children who are street vendors tend to use different procedures for solving arithmetic problems when they are working on the streets than when they are in school (Nunes, Schlieman, & Carraher, 1993 ). This line of research highlights the role of situated cognition —the idea that thinking always is shaped by the physical and social context in which it occurs (Robbins & Aydede, 2009 ). Research is needed to determine how people solve problems in authentic contexts.

Cognitive Neuroscience of Problem Solving

The cognitive neuroscience of problem solving is concerned with the brain activity that occurs during problem solving. For example, using fMRI brain imaging methodology, Goel ( 2005 ) found that people used the language areas of the brain to solve logical reasoning problems presented in sentences (e.g., “All dogs are pets…”) and used the spatial areas of the brain to solve logical reasoning problems presented in abstract letters (e.g., “All D are P…”). Cognitive neuroscience holds the potential to make unique contributions to the study of problem solving.

Problem solving has always been a topic at the fringe of cognitive psychology—too complicated to study intensively but too important to completely ignore. Problem solving—especially in realistic environments—is messy in comparison to studying elementary processes in cognition. The field remains fragmented in the sense that topics such as decision making, reasoning, intelligence, expertise, mathematical problem solving, everyday thinking, and the like are considered to be separate topics, each with its own separate literature. Yet some recurring themes are the role of domain-specific knowledge in problem solving and the advantages of studying problem solving in authentic contexts.

Future Directions

Some important issues for future research include the three classic issues examined in this chapter—the nature of problem-solving transfer (i.e., How are people able to use what they know about previous problem solving to help them in new problem solving?), the nature of insight (e.g., What is the mechanism by which a creative solution is constructed?), and heuristics (e.g., What are some teachable strategies for problem solving?). In addition, future research in problem solving should continue to pinpoint the role of domain-specific knowledge in problem solving, the nature of cognitive ability in problem solving, how to help people develop proficiency in solving problems, and how to provide aids for problem solving.

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Further Reading

Baron, J. ( 2008 ). Thinking and deciding (4th ed). New York: Cambridge University Press.

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Sternberg, R. J. , & Ben-Zeev, T. ( 2001 ). Complex cognition: The psychology of human thought . New York: Oxford University Press.

Weisberg, R. W. ( 2006 ). Creativity . New York: Wiley.

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Analytical Thinking vs Problem Solving: A Comprehensive Comparison

Analytical thinking and problem solving are crucial skills in various aspects of life, including personal and professional situations. While they may seem interchangeable, there are distinct differences between the two. Analytical thinking focuses on breaking down complex information into smaller, manageable components to understand a situation and evaluate alternatives effectively. On the other hand, problem solving involves devising practical solutions to overcome challenges or resolve issues that arise in daily life or the workplace.

Both analytical thinking and problem-solving skills contribute to making well-informed decisions, managing risks, and achieving success in various areas of life. By understanding these skills’ distinctions and applying them effectively, individuals can enhance their performance in the workplace, handle complex situations with ease, and make better choices in their personal lives.

Key Takeaways

• Analytical thinking is about understanding complex situations, while problem-solving focuses on finding practical solutions.
• Mastery of both skills leads to informed decision-making and improved risk management.
• These abilities are essential for workplace success and overall personal growth.

Understanding Analytical Thinking

Nature of Analytical Thinking

Analytical thinking refers to a mental process in which a person systematically breaks down complex problems or situations into smaller, manageable components. This enables the identification of essential elements and their relationships, leading to an effective solution. Analytical thinkers excel in identifying patterns, interpreting data, and drawing conclusions based on factual information. Unlike reactive problem-solving, which focuses on finding immediate remedies, analytical thinking is strategic in nature, seeking long-term solutions by addressing the root causes of a problem.

Key components of analytical thinking include reasoning, fact-checking, and questioning assumptions. This skill set allows individuals to approach problems with an open mind, meticulously gather and analyze data, and make well-informed decisions. Ultimately, analytical thinking leads to more informed and strategic decision-making, increasing the likelihood of success in professional and personal endeavors.

How Analytical Thinking Works

The process of analytical thinking unfolds in several stages:

• Identify the problem or situation : Determine the issue that needs addressing and clearly define its scope.
• Gather relevant data : Collect information related to the problem from various sources, ensuring its accuracy and reliability.
• Break down the problem : Dissect the problem into smaller, manageable parts to gain a better understanding of its intricacies.
• Analyze and interpret data : Examine the data to identify patterns, trends, and relationships, and derive insights using logical reasoning.
• Question assumptions : Challenge any preconceived notions or biases that may skew the analysis and arrive at the most objective conclusions possible.
• Generate solutions : Propose potential solutions based on the analysis, weighing their pros and cons.

It is important to note that analytical thinking is not solely reserved for mathematicians or scientists but is a valuable skill applicable to a wide range of disciplines and professions. From business analysts, who require analytical thinking and problem-solving skills to identify and implement changes, to daily decision-making in personal lives, analytical reasoning plays a vital role in successfully navigating through various complexities.

Significance of Problem Solving

Features of problem solving.

Problem solving is an essential skill that helps individuals and organizations tackle challenges effectively. Problem-solving skills enable individuals to identify problems or obstacles, analyze the situation, and find appropriate solutions. These skills include critical thinking, analytical reasoning, decision-making, and learning from the process. People with strong problem-solving abilities can better cope with stress, handle risk, and adapt to change in a fast-paced environment.

In the context of decision-making, problem solving requires individuals to evaluate multiple options and select the one with the highest probability of success. A well-developed thinking process is crucial to identifying and analyzing creative solutions, as it helps individuals see beyond the apparent issues and delve deeper into the underlying causes.

Process of Problem Solving

The process of problem-solving typically involves several stages:

• Identify the problem : Recognizing the issue at hand and understanding its impact on the situation.
• Gather information : Collecting relevant data and facts that will help in understanding the problem.
• Analyze the problem : Examining the situation, breaking it into smaller parts, and identifying the root causes.
• Generate solutions : Brainstorming various possible solutions and evaluating their feasibility.
• Choose the best solution : Using decision-making skills to select the most suitable solution based on available information.
• Implement the solution : Putting the chosen solution into action and monitoring its effectiveness.
• Evaluate and learn : Reflecting on the outcomes and learning from the experience for future problem-solving situations.

By sharpening problem-solving skills and employing an organized thinking process, individuals can enhance their abilities to overcome challenges and make informed decisions, leading to personal and professional growth.

Comparing Analytical Thinking and Problem Solving

Similarities.

Both analytical thinking and problem solving involve the process of breaking down complex situations into smaller, manageable components. In both approaches, individuals need to evaluate the information at hand, identify patterns, and derive conclusions based on the evidence. This often involves receiving feedback, adapting to new information, and adjusting one’s approach.

Moreover, practicing both analytical thinking and problem-solving techniques can lead to improved decision-making abilities. This development, in turn, translates into greater efficiency and effectiveness in personal and professional contexts.

Differences

While analytical thinking and problem solving share some similarities, they also have notable differences. Analytical thinking typically follows a linear and sequential process, whereas problem solving might involve iterative processes and creative solutions.

Analytical thinking often focuses on dissecting a situation or a problem, looking for underlying patterns, and finding ways to logically deduce solutions. On the other hand, problem solving might require a combination of analytical and creative thinking, especially when faced with novel or ambiguous challenges. Problem solvers often need to develop unique strategies and evaluate alternative solutions before settling on the most effective approach.

In conclusion, analytical thinking and problem-solving, while both essential skills, have distinct applications and methods, and their effective use can be instrumental in achieving success in various aspects of life.

Ways to Improve Both Techniques

Developing analytical thinking.

Developing analytical thinking is vital for individuals seeking to improve their problem-solving abilities. One effective strategy is to practice creative activities, such as brainstorming or solving puzzles, to challenge the brain and foster development. Engaging in these tasks allows for the creation of new connections and enhances cognitive flexibility.

Another useful approach is to focus on communication and the art of listening. Active listening enables a better understanding of various perspectives and leads to well-informed decisions. Moreover, discussing complex topics can strengthen one’s ability to analyze and evaluate information effectively.

Collaborating with others can also help individuals enhance their analytical thinking skills. By working together, people can build on each other’s strengths and overcome challenges. Additionally, they can exchange ideas and learn from different viewpoints, which may lead to innovative solutions.

Enhancing Problem Solving Skills

To enhance problem-solving skills, one must be willing to take action and embrace challenges. Tackling problems head-on allows for growth and the development of practical strategies. Regular practice is essential for refining these skills and building confidence in decision-making.

Integrating soft skills, such as empathy and adaptability, play an essential role in problem-solving. Employing these abilities can improve interpersonal communication and contribute to the formation of more effective solutions.

Utilizing a methodical approach to problem-solving can also yield positive results. Techniques like breaking down complex issues into manageable steps or generating multiple possible solutions can enable a more comprehensive analysis, increasing the likelihood of success in overcoming challenges.

Finally, don’t shy away from seeking feedback from peers and mentors. Constructive criticism can highlight areas for improvement and further facilitate the development of both analytical thinking and problem-solving skills. Remember, the key to growth lies in continuous learning and adapting to new situations with confidence and clarity.

Importance in Workplace and Career Success

Relevance in the workplace.

Analytical thinking and problem solving play crucial roles in the workplace. These skills enable employees to efficiently tackle a variety of tasks and challenges. Analytical thinking refers to gathering, organizing, and evaluating information to detect patterns and identify problems. Effective problem solving involves devising creative solutions based on these findings 1 . In the modern workplace, individuals with strong analytical thinking skills can identify issues and make well thought-out decisions that contribute to overall company success 2 .

Effective communication is an important aspect of analytical thinking and problem solving. In a professional setting, employees must often convey their findings and ideas to stakeholders, ensuring that solutions are implemented appropriately and any concerns are addressed. This communication can lead to improved collaboration, clearer goals, and faster resolution of issues 3 .

Implication for Career Success

In addition to benefitting the workplace as a whole, strong analytical thinking and problem-solving skills are critical for individual career success. These skills can help professionals stand out among their peers and demonstrate their value to their organization. Professionals who can apply analytical thinking and problem-solving techniques are viewed as being able to think critically, make decisions, and take initiative, which are all highly valued by employers 4 .

Individuals who possess these skills are often able to make more informed judgments and sound decisions. This can lead to career advancement and job stability, as they are viewed as capable and dependable. Developing analytical thinking and problem-solving abilities can also open doors to new opportunities and industries, making individuals more versatile and efficient in their careers 5 .

Role in Decision Making and Risk Management

Influence on decision making.

Analytical thinking plays a crucial role in decision making, as it involves breaking things down into their component parts and using deductive reasoning to draw conclusions from given evidence and assumptions source . This allows individuals and organizations to carefully consider the pros and cons of each option, determine the feasibility of implementing potential solutions, and weigh the costs and benefits associated with each decision.

Problem-solving, on the other hand, is an analytical method that focuses on identifying potential solutions to specific situations source , sometimes requiring personal decision-making that may involve judgments or decisions on the way to find the best outcome. Both analytical thinking and problem-solving contribute to effective decision-making processes, as they provide tools and techniques for examining different courses of action and limiting uncertainties.

Contribution to Risk Management

Risk management is a critical aspect of decision-making, as it helps organizations and individuals identify, assess, and mitigate potential risks associated with various decisions. Analytical thinking contributes to risk management by enabling decision-makers to collect and analyze data, evaluate risks and their potential consequences, and make informed decisions based on the results source .

Similarly, problem-solving assists in risk management by addressing potential challenges that may arise during the implementation of solutions, such as examining potential obstacles, resource constraints, and other factors that may impact the success of an initiative source . By combining the strengths of both analytical thinking and problem-solving, decision-makers can enhance their risk management strategies and ensure a higher probability of success in their respective decisions.

In summary, analytical thinking and problem-solving are essential tools in decision-making and risk management, as they provide the necessary framework for evaluating options, weighing potential outcomes, and identifying potential challenges. By utilizing these methods, decision-makers can make more informed choices and mitigate potential risks associated with their decisions.

Utilization in Business Analysis

Application in business analysis.

Analytical thinking and problem solving are essential skills for business analysts in their day-to-day work. They are responsible for identifying, researching, and understanding complex business problems, as well as finding effective solutions to address them. By using their analytical thinking skills, business analysts can gather, assess, and interpret data from various sources to develop a comprehensive understanding of the situation at hand [1] .

When approaching a problem, business analysts consider several key factors, such as people, processes, and technology. They employ systems thinking to understand the enterprise holistically and how all these elements interact. This mindset helps them to not only identify the root cause of a problem, but also to develop solutions that address the underlying issues effectively [2] .

Understanding Financial Data

One key area where business analysts apply their analytical and problem-solving skills is in the realm of financial data. Here, they are tasked with interpreting complex financial information to derive valuable insights and make informed decisions for the organization.

In this context, their analytical thinking skills enable business analysts to:

• Gather relevant financial data from multiple sources
• Identify patterns, trends, and potential issues
• Assess the quality and accuracy of the data
• Develop conclusions and recommendations based on the analyzed data

By employing problem-solving skills, business analysts can:

• Understand the impact of financial data on business processes and performance
• Identify potential areas for improvement or optimization
• Propose and evaluate relevant solutions for financial issues [3]

Overall, business analysis relies heavily on the combination of analytical thinking and problem-solving skills to address various challenges faced by organizations. The ability to understand and interpret financial data significantly contributes to the success and growth of any enterprise.

Real Life Examples

Analytical thinking and problem solving are essential skills in both personal and professional life. They allow individuals to tackle complex issues, identify the root causes, and develop effective solutions. Let’s examine some real-life examples that emphasize the differences between these two thought processes.

In the workplace, an employee might face a challenge in increasing sales. Applying analytical thinking , the individual would gather data, identify patterns, and evaluate market trends to understand the factors impacting sales performance. With this information, they can determine which areas need improvement and develop targeted strategies to address the issue. For example, they may discover that customers are dissatisfied with the available products in a particular category, prompting changes in the company’s product offering.

On the other hand, problem-solving involves addressing specific situations, such as dealing with a dissatisfied customer. In this instance, the employee would need to rely on their experience and emotional intelligence to find a solution. They would listen to the customer’s concerns, empathize with their feelings, and proactively offer options to resolve the problem. This process may include correcting mistakes made during a transaction or offering compensation for a negative experience.

Another example can be found in the realm of personal finance. Analytical thinking would be employed to evaluate one’s financial situation and understand patterns in spending habits. This analysis could reveal areas where money may be saved or better utilized. For instance, it may uncover excessive spending on dining out or ineffective monthly budgeting practices.

Conversely, problem-solving can come into play when an unexpected financial emergency occurs. In such cases, one would need to quickly evaluate the situation and devise creative solutions to address the crisis. This might involve temporarily reducing non-essential expenses, seeking additional sources of income, or negotiating payment plans with creditors.

In both of these real-life scenarios, analytical thinking and problem-solving work in tandem, complementing each other to achieve effective outcomes. While individuals may favor one approach over the other, it is crucial to recognize and develop both skillsets to navigate the complexities of modern life successfully.

• https://www.glassdoor.com/blog/guide/analytical-thinking/ ↩
• https://www.indeed.com/career-advice/career-development/problem-solving-and-decision-making ↩
• https://www.radford.edu/content/cobe/innovation-analytics/analytics/career-prep/report-e.html ↩
• https://www.indeed.com/career-advice/career-development/critical-thinking-vs-problem-solving ↩
• https://www.amanet.org/analytical-thinking-problem-solving-and-decision-making/ ↩

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What is analytical problem solving.

There are some very common misconceptions and myths about analytical problem solving. Most candidates simply skim over this phrase on consulting profiles without thinking about the meaning. This post will tell you what management consulting firms like McKinsey , Bain and BCG mean by analytical problem solving.

You would be surprised at how many people believe that analytical thinking is something that comes instinctively, letting you do data analysis and pinpoint relevant information to get the key takeaways from complex problems. The truth is, these analytical skills are, more often than not, hard skills that you acquire through years of problem solving and critical thinking. They’re problem-solving skills that help you go from coming up with easy solutions to coming up with creative solutions that go the extra mile.

This is important advice so it is worth reading carefully – we’ll also go over some analytical and problem solving skills examples to help you understand better.

What is analytical problem solving

To be an analytical thinker does not mean you must have a degree in science, engineering, finance, economics or any other quantitative subject. While some subjects, like those listed, imply you could be analytical in your thinking, not having quantitative background does not mean you cannot think analytically. Thousands of candidates with quantitative backgrounds fail to get offers from McKinsey, Bain and BCG every year. Therefore, having a quantitative background can be an advantage, but it does not guarantee analytical problem solving ability.

Being analytical refers to the way you think and not to the problem you solve. This is a very important statement. Lawyers, social scientists, linguists and historians can all be extremely analytical in their thinking. Yet, they are not solving quantitative problems. So the problem is not what determines if you are analytical, it is the way you solve the problem.

Good analyses are grounded in hypotheses. Can you develop hypotheses? It always surprises us how many people do not know what is a hypothesis. A hypothesis is not the problem. It is not a fact. It is not an opinion. It is a statement which captures the observed phenomenon as well as the likely cause of the phenomenon. Both must be present for it to be a hypothesis. A surprising number of candidates do not understand this.

Are you able to reason using only the facts provided? Analytical thinkers are not unemotional. No one is unemotional. However, analytical thinkers are able to separate their emotion from the situation and use the data provided to arrive at a conclusion. Analytical problem solving means reasoning using facts and logic. Past experience or opinions which cannot be substantiated are ignored.

Can you assemble data and facts to develop an argument or line of reasoning? Analytical thinkers can take pieces of information, compare them and decide what the information is saying. They can assemble the information to produce new insight into the problem rather than simply restating the information.

Analytical thinkers do not blurt out answers. Assuming your answer is even correct, the fact that you knew the answer means you did not need to analyse the facts. Therefore, your analytical problem solving skill could not be tested.

Logic has nothing to do with numbers. There is a misconception that if your reasoning lacks numbers then it must be incorrect. That is ridiculous. In many consulting case interviews, you will need to reason based on logical arguments and with very little numbers. Your line of reasoning is more important than your final answer.

Analytical thinkers can show you how they arrived at the answer. This should be obvious, right? After all, it is the foundation of the case interview method. If you followed a path of reasoning to arrive at an answer, you should be able to explain that path to someone. That is why the method is used. The interviewer is more interested in how you arrived at the answer than the answer you developed. How you arrived at the answer shows the strength of your analytical problem solving skill.

Logical thinkers apply MECE , even if they do not know it. I have some impressive friends in the legal profession. Watching them reason and debate is worth doing so. When you ask them how they arrived at an answer or why they eliminated an option, you realize they are applying the rules of MECE perfectly. Yet, they never heard of MECE. Reason and logic is not exclusive to management consulting but is it essential to management consulting.

You do not need to know anything about an income statement, balance sheet or cash-flow statement to develop analytical skills. I should not need to say this but I will say it anyway. The thought process is more important than the topic. You can learn accounting and financial concepts when you need them. It is not very difficult to do so.

Analytical and problem solving skills examples

Below we share with you some examples of analytical and problem solving skills and how analytical skills are being tested during consulting case interviews.

McKinsey case interview examples 

• Complex McKinsey Interviewer led profitability case in Pharma (by FIRMSconsulting.com) 
• Comprehensive McKinsey hypotheses based case interview example (by FIRMSconsulting.com)
• McKinsey cost-benefit approach complex profit case interview example (by FIRMSconsulting.com)

BCG case interview examples

• Comprehensive BCG interviewer led market entry case interview example (by FIRMSconsulting.com) 

General case interview examples

• A comprehensive approach to brainstorming in case interviews (by FIRMSconsulting.com)
• Framework for a Bain, McKinsey, BCG acquisition case (by FIRMSconsulting.com)

Structured case interview analytical and problem solving skills development is needed

If you would like to get help with developing your analytical and problem solving skills, and fast track your case interview preparation, we welcome you to enroll into Premium membership .

There is nowhere else in the world where you can see real candidates trained by former partners from major consulting firms to help them develop analytical and problem solving skills. You will see the candidate’s progression through each step of the case interview preparation process, and how their analytical and problem solving skills are being developed. And you will see candidates receiving real offers from major firms such as Deloitte, McKinsey, or BCG.

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What are analytical skills? Examples and how to level up

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What are analytical skills?

Why are analytical skills important, 9 analytical skills examples, how to improve analytical skills, how to show analytical skills in a job application, the benefits of an analytical mind.

With market forecasts, performance metrics, and KPIs, work throws a lot of information at you. 

If you want to stay ahead of the curve, not only do you have to make sense of the data that comes your way — you need to put it to good use. And that requires analytical skills.

You likely use analytical thinking skills every day without realizing it, like when you solve complex problems or prioritize tasks . But understanding the meaning of analysis skills in a job description, why you should include them in your professional development plan, and what makes them vital to every position can help advance your career.

Analytical skills, or analysis skills, are the ones you use to research and interpret information. Although you might associate them with data analysis, they help you think critically about an issue, make decisions , and solve problems in any context. That means anytime you’re brainstorming for a solution or reviewing a project that didn’t go smoothly, you’re analyzing information to find a conclusion. With so many applications, they’re relevant for nearly every job, making them a must-have on your resume.

Analytical skills help you think objectively about information and come to informed conclusions. Positions that consider these skills the most essential qualification grew by 92% between 1980 and 2018 , which shows just how in-demand they are. And according to Statista, global data creation will grow to more than 180 zettabytes by 2025 — a number with 21 zeros. That data informs every industry, from tech to marketing.

Even if you don’t interact with statistics and data on the job, you still need analytical skills to be successful. They’re incredibly valuable because:

• They’re transferable: You can use analysis skills in a variety of professional contexts and in different areas of your life, like making major decisions as a family or setting better long-term personal goals.
• They build agility: Whether you’re starting a new position or experiencing a workplace shift, analysis helps you understand and adapt quickly to changing conditions. 
• They foster innovation: Analytical skills can help you troubleshoot processes or operational improvements that increase productivity and profitability.
• They make you an attractive candidate: Companies are always looking for future leaders who can build company value. Developing a strong analytical skill set shows potential employers that you’re an intelligent, growth-oriented candidate.

If the thought of evaluating data feels unintuitive, or if math and statistics aren’t your strong suits, don’t stress. Many examples of analytical thinking skills don’t involve numbers. You can build your logic and analysis abilities through a variety of capacities, such as:

1. Brainstorming

Using the information in front of you to generate new ideas is a valuable transferable skill that helps you innovate at work . Developing your brainstorming techniques leads to better collaboration and organizational growth, whether you’re thinking of team bonding activities or troubleshooting a project roadblock. Related skills include benchmarking, diagnosis, and judgment to adequately assess situations and find solutions.

2. Communication

Becoming proficient at analysis is one thing, but you should also know how to communicate your findings to your audience — especially if they don’t have the same context or experience as you. Strong communication skills like public speaking , active listening , and storytelling can help you strategize the best ways to get the message out and collaborate with your team . And thinking critically about how to approach difficult conversations or persuade someone to see your point relies on these skills. 

3. Creativity

You might not associate analysis with your creativity skills, but if you want to find an innovative approach to an age-old problem, you’ll need to combine data with creative thinking . This can help you establish effective metrics, spot trends others miss, and see why the most obvious answer to a problem isn’t always the best. Skills that can help you to think outside the box include strategic planning, collaboration, and integration.

4. Critical thinking

Processing information and determining what’s valuable requires critical thinking skills . They help you avoid the cognitive biases that prevent innovation and growth, allowing you to see things as they really are and understand their relevance. Essential skills to turn yourself into a critical thinker are comparative analysis, business intelligence, and inference.

5. Data analytics

When it comes to large volumes of information, a skilled analytical thinker can sort the beneficial from the irrelevant. Data skills give you the tools to identify trends and patterns and visualize outcomes before they impact an organization or project’s performance. Some of the most common skills you can develop are prescriptive analysis and return on investment (ROI) analysis.

6. Forecasting

Predicting future business, market, and cultural trends better positions your organization to take advantage of new opportunities or prepare for downturns. Business forecasting requires a mix of research skills and predictive abilities, like statistical analysis and data visualization, and the ability to present your findings clearly.

7. Logical reasoning

Becoming a logical thinker means learning to observe and analyze situations to draw rational and objective conclusions. With logic, you can evaluate available facts, identify patterns or correlations, and use them to improve decision-making outcomes. If you’re looking to improve in this area, consider developing inductive and deductive reasoning skills.

8. Problem-solving

Problem-solving appears in all facets of your life — not just work. Effectively finding solutions to any issue takes analysis and logic, and you also need to take initiative with clear action plans . To improve your problem-solving skills , invest in developing visualization , collaboration, and goal-setting skills.

9. Research

Knowing how to locate information is just as valuable as understanding what to do with it. With research skills, you’ll recognize and collect data relevant to the problem you’re trying to solve or the initiative you’re trying to start. You can improve these skills by learning about data collection techniques, accuracy evaluation, and metrics.

You don’t need to earn a degree in data science to develop these skills. All it takes is time, practice, and commitment. Everything from work experience to hobbies can help you learn new things and make progress. Try a few of these ideas and stick with the ones you enjoy:

1. Document your skill set

The next time you encounter a problem and need to find solutions, take time to assess your process. Ask yourself:

• What facts are you considering?
• Do you ask for help or research on your own? What are your sources of advice?
• What does your brainstorming process look like?
• How do you make and execute a final decision?
• Do you reflect on the outcomes of your choices to identify lessons and opportunities for improvement?
• Are there any mistakes you find yourself making repeatedly?
• What problems do you constantly solve easily? 

These questions can give insight into your analytical strengths and weaknesses and point you toward opportunities for growth.

2. Take courses

Many online and in-person courses can expand your logical thinking and analysis skills. They don’t necessarily have to involve information sciences. Just choose something that trains your brain and fills in your skills gaps . 

Consider studying philosophy to learn how to develop your arguments or public speaking to better communicate the results of your research. You could also work on your hard skills with tools like Microsoft Excel and learn how to crunch numbers effectively. Whatever you choose, you can explore different online courses or certification programs to upskill. 

3. Analyze everything

Spend time consciously and critically evaluating everything — your surroundings, work processes, and even the way you interact with others. Integrating analysis into your day-to-day helps you practice. The analytical part of your brain is like a muscle, and the more you use it, the stronger it’ll become. 

After reading a book, listening to a podcast, or watching a movie, take some time to analyze what you watched. What were the messages? What did you learn? How was it delivered? Taking this approach to media will help you apply it to other scenarios in your life. 

If you’re giving a presentation at work or helping your team upskill , use the opportunity to flex the analytical side of your brain. For effective teaching, you’ll need to process and analyze the topic thoroughly, which requires skills like logic and communication. You also have to analyze others’ learning styles and adjust your teachings to match them. 

5. Play games

Spend your commute or weekends working on your skills in a way you enjoy. Try doing logic games like Sudoku and crossword puzzles during work breaks to foster critical thinking. And you can also integrate analytical skills into your existing hobbies. According to researcher Rakesh Ghildiyal, even team sports like soccer or hockey will stretch your capacity for analysis and strategic thinking . 

6. Ask questions

According to a study in Tr ends in Cognitive Sciences, being curious improves cognitive function , helping you develop problem-solving skills, retention, and memory. Start speaking up in meetings and questioning the why and how of different decisions around you. You’ll think more critically and even help your team find breakthrough solutions they otherwise wouldn’t.

7.Seek advice

If you’re unsure what analytical skills you need to develop, try asking your manager or colleagues for feedback . Their outside perspective offers insight you might not find within, like patterns in. And if you’re looking for more consistent guidance, talking to a coach can help you spot weaknesses and set goals for the long term.

8. Pursue opportunities

Speak to your manager about participating in special projects that could help you develop and flex your skills. If you’d like to learn about SEO or market research, ask to shadow someone in the ecommerce or marketing departments. If you’re interested in business forecasting, talk to the data analysis team. Taking initiative demonstrates a desire to learn and shows leadership that you’re eager to grow. 

Shining a spotlight on your analytical skills can help you at any stage of your job search. But since they take many forms, it’s best to be specific and show potential employers exactly why and how they make you a better candidate. Here are a few ways you can showcase them to the fullest:

1. In your cover letter

Your cover letter crafts a narrative around your skills and work experience. Use it to tell a story about how you put your analytical skills to use to solve a problem or improve workflow. Make sure to include concrete details to explain your thought process and solution — just keep it concise. Relate it back to the job description to show the hiring manager or recruiter you have the qualifications necessary to succeed.

2. On your resume

Depending on the type of resume you’re writing, there are many opportunities to convey your analytical skills to a potential employer. You could include them in sections like: 

• Professional summary: If you decide to include a summary, describe yourself as an analytical person or a problem-solver, whichever relates best to the job posting. 
• Work experience: Describe all the ways your skill for analysis has helped you perform or go above and beyond your responsibilities. Be sure to include specific details about challenges and outcomes related to the role you’re applying for to show how you use those skills. 
• Skills section: If your resume has a skill-specific section, itemize the analytical abilities you’ve developed over your career. These can include hard analytical skills like predictive modeling as well as interpersonal skills like communication.

3. During a job interview

As part of your interview preparation , list your professional accomplishments and the skills that helped along the way, such as problem-solving, data literacy, or strategic thinking. Then, pull them together into confident answers to common interview questions using the STAR method to give the interviewer a holistic picture of your skill set.

Developing analytical skills isn’t only helpful in the workplace. It’s essential to life. You’ll use them daily whenever you read the news, make a major purchase, or interact with others. Learning to critically evaluate information can benefit your relationships and help you feel more confident in your decisions, whether you’re weighing your personal budget or making a big career change .

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Problem Solving, Critical Thinking, and Analytical Reasoning Skills Sought by Employers

In this section:

Problem Solving

• Critical Thinking

Analytical Reasoning

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Critical thinking, analytical reasoning, and problem-solving skills are required to perform well on tasks expected by employers. 1 Having good problem-solving and critical thinking skills can make a major difference in a person’s career. 2

Every day, from an entry-level employee to the Chairman of the Board, problems need to be resolved. Whether solving a problem for a client (internal or external), supporting those who are solving problems, or discovering new problems to solve, the challenges faced may be simple/complex or easy/difficult.

A fundamental component of every manager's role is solving problems. So, helping students become a confident problem solver is critical to their success; and confidence comes from possessing an efficient and practiced problem-solving process.

Employers want employees with well-founded skills in these areas, so they ask four questions when assessing a job candidate 3 :

• Evaluation of information: How well does the applicant assess the quality and relevance of information?
• Analysis and Synthesis of information: How well does the applicant analyze and synthesize data and information?
• Drawing conclusions: How well does the applicant form a conclusion from their analysis?
• Acknowledging alternative explanations/viewpoints: How well does the applicant consider other options and acknowledge that their answer is not the only perspective?

When an employer says they want employees who are good at solving complex problems, they are saying they want employees possessing the following skills:

• Analytical Thinking — A person who can use logic and critical thinking to analyze a situation.
• Critical Thinking – A person who makes reasoned judgments that are logical and well thought out.
• Initiative — A person who will step up and take action without being asked. A person who looks for opportunities to make a difference.
• Creativity — A person who is an original thinker and have the ability to go beyond traditional approaches.
• Resourcefulness — A person who will adapt to new/difficult situations and devise ways to overcome obstacles.
• Determination — A person who is persistent and does not give up easily.
• Results-Oriented — A person whose focus is on getting the problem solved.

Two of the major components of problem-solving skills are critical thinking and analytical reasoning.  These two skills are at the top of skills required of applicants by employers.

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Critical Thinking 4

“Mentions of critical thinking in job postings have doubled since 2009, according to an analysis by career-search site Indeed.com.” 5 Making logical and reasoned judgments that are well thought out is at the core of critical thinking. Using critical thinking an individual will not automatically accept information or conclusions drawn from to be factual, valid, true, applicable or correct. “When students are taught how to use critical thinking to tap into their creativity to solve problems, they are more successful than other students when they enter management-training programs in large corporations.” 6

A strong applicant should question and want to make evidence-based decisions. Employers want employees who say things such as: “Is that a fact or just an opinion? Is this conclusion based on data or gut feel?” and “If you had additional data could there be alternative possibilities?” Employers seek employees who possess the skills and abilities to conceptualize, apply, analyze, synthesize, and evaluate information to reach an answer or conclusion.

Employers require critical thinking in employees because it increases the probability of a positive business outcome. Employers want employees whose thinking is intentional, purposeful, reasoned, and goal directed.

Recruiters say they want applicants with problem-solving and critical thinking skills. They “encourage applicants to prepare stories to illustrate their critical-thinking prowess, detailing, for example, the steps a club president took to improve attendance at weekly meetings.” 7

Employers want students to possess analytical reasoning/thinking skills — meaning they want to hire someone who is good at breaking down problems into smaller parts to find solutions. “The adjective, analytical, and the related verb analyze can both be traced back to the Greek verb, analyein — ‘to break up, to loosen.’ If a student is analytical, you are good at taking a problem or task and breaking it down into smaller elements in order to solve the problem or complete the task.” 9

Analytical reasoning connotes a person's general aptitude to arrive at a logical conclusion or solution to given problems. Just as with critical thinking, analytical thinking critically examines the different parts or details of something to fully understand or explain it. Analytical thinking often requires the person to use “cause and effect, similarities and differences, trends, associations between things, inter-relationships between the parts, the sequence of events, ways to solve complex problems, steps within a process, diagraming what is happening.” 10

Analytical reasoning is the ability to look at information and discern patterns within it. “The pattern could be the structure the author of the information uses to structure an argument, or trends in a large data set. By learning methods of recognizing these patterns, individuals can pull more information out of a text or data set than someone who is not using analytical reasoning to identify deeper patterns.” 11

Employers want employees to have the aptitude to apply analytical reasoning to problems faced by the business. For instance, “a quantitative analyst can break down data into patterns to discern information, such as if a decrease in sales is part of a seasonal pattern of ups and downs or part of a greater downward trend that a business should be worried about. By learning to recognize these patterns in both numbers and written arguments, an individual gains insights into the information that someone who simply takes the information at face value will miss.” 12

Managers with excellent analytical reasoning abilities are considered good at, “evaluating problems, analyzing them from more than one angle and finding a solution that works best in the given circumstances”. 13 Businesses want managers who can apply analytical reasoning skills to meet challenges and keep a business functioning smoothly

A person with good analytical reasoning and pattern recognition skills can see trends in a problem much easier than anyone else.

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6 Approaches to Problem Solving- How Does Your Mind Work?

By Lisa Woods (1630 words) Posted in Professional Development on August 17, 2017 There are ( 4 ) comments permalink

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Your ability to solve problems impacts personal success in life, success as a team, and ultimately, the success of your business. That’s why it is so important to understand your strengths and weaknesses as you approach problems. This awareness can help you gage whether or not the situation requires your skill, the skill of another team member or a combination of the two. Effective problem solving offers an opportunity to move forward, rather than mitigate a setback. If you approach a problem in that light, your solution changes, your process changes and so does your team dynamic. As a leader or manager, consider identifying the strengths and weaknesses of your team as they relate to problem solving. Once you do, you will be able to tackle problems as a powerful team and create a competitive advantage for your organization.

Here are Six Common Approaches to Problem Solving:  

How does your mind work, 1:  analytical problem solving.

An analytical thinker has the ability to get into the detail of a problem, evaluate all components & perspectives to understand it and determine what’s missing. Analytical thinkers ask questions to fill in any gaps they see in order to foresee next steps. They have confidence in their ability and make assumptions & decisions because of their constructive fact finding process. Although their assumptions are credible & decisions well supported, they may not move quickly enough to a solution if they do not have all the facts. Because their fact-finding process takes time, they may not offer any opinions unless specifically asked.

2:  Logical Problem Solving

A logical thinker has the ability to continuously collect detail and put it into sequence, allowing them to see the big picture & evaluate where the problem exists and why. Then using historical data, they infer solutions based on similar situations. If this worked before in a similar situation, it will work again in this one. The problem with inferring solutions based on past situations occurs when past situations do not exist. When the search for past situations has been exhausted or a new solution is required, the logical problem solver may be at a loss.

3: Rational Problem Solving

A rational problem solver has the ability to take information that is available & make assumptions based on that information, deducting the most optimal solution given their personal perspective. A rational person may use the words “From my perspective here is the problem and the best approach to solve it is xyz in order to achieve what I believe to be the best solution.” The problem is that although the approach may be rational for that individual, the starting point of that reasoning may be completely unjust to another. Rational problem solvers often do not see the world from perspectives other than their own.

4: Absolute Problem Solving

An absolute problem solver has the ability to see a problem as black or white and a solution as right orwrong. Absolute thinkers believe there is a right way of doing something and if there is a problem it is because those involved were unaware of the solution that exists. They try to find that solution by seeking an authoritative source that can confirm the answer. These individuals often have difficulty moving past a problem, they do not like making decisions without affirmation that they are moving forward with an accepted approach. Absolute thinkers also tend to group their thoughts based on information that they have confidence in; inferring a solution that worked elsewhere must work in a parallel situation.

5: Creative Problem Solving

A creative problem solver has the ability to envision several outcomes, make assumptions as to what needs to be done to achieve an outcome & is willing to take risks because they have confidence in their own judgment. Creative thinkers start from scratch and are not limited by steps or processes; instead they create unique paths and new solutions. The limitation of creative problem solving is often that there is no limit to the creative process. If a problem has a deadline or budget constraint, creative thinkers may struggle because they have difficulty focusing and can lose sight of more obvious solutions.

6: Positive Problem Solving

A positive problem solver has the ability to compartmentalize a problem as an individual event and seek solutions with an open mind. Positive thinkers are not restricted by fears or past results, instead they predict improvement and are more open to finding ways of achieving it. Thus they listen for opportunities to improve and collaborate. The limitation of positive thinkers is that they may not hold situations or individuals accountable when they are required to do so. This makes it possible that problems reoccur several times before solutions are put in place because they are not pragmatic enough to solve the issues.

So which approach to problem solving do you usually take? Do you find that it works for you all the time?  Some of the time?  Never ? 

Most people are skilled at one approach vs. another because that’s where their mindset naturally takes them. But when you understand the different paths, you can open the door to the best problem solving technique for a given situation.

Now that you have taken the first step of “self” evaluation, what about the people on your team? Chances are you have more than one type of problem solver among you. I challenge you to cultivate these talents and make them into a competitive advantage. Your team’s ability to solve problems quickly, creatively and successfully can be a competitive advantage for your organization. It is one thing to say your problem has been solved, it is another to say that you were able to use it as a means of improving and strengthening your business; catapulting you forward. That should be your goal, leave the short-term problem solving bandages for your competition! 

4 Steps to Making Your Team’s Problem Solving Strategy a Competitive Advantage

First, align yourself, and each of your team members with one of the 6 problem solving strengths :.

Ability to get into the detail of a problem and evaluate all components & perspectives to understand it and determine what’s missing. 

Ability to continuously collect detail and put it into sequence, see the big picture, evaluate where the problem exists and why.

Ability to take information that is available and make assumptions based on that information, deducting the most optimal solution based on personal perspective.

Ability to see a problem as black or white and a solution as right or wrong by seeking authoritative approval & consensus.

Ability to envision several outcomes, make assumptions as to what needs to be done to achieve an outcome & is willing to take risks because they have confidence in their own judgment. 

Ability to compartmentalize a problem as an individual event and seek solutions with an open mind. 

Second, take the same approach to align yourself and your team with one or more of the 6 problem solving WEAKNESSES :

Difficulty moving quickly enough to a solution without all the facts.

Difficulty developing a unique solution when comparative situations from the past do not exist.

Difficulty seeing things from perspectives other than their own.

Difficulty making decisions to move past a problem, without affirmation that they are moving forward with an accepted approach.

Difficulty focusing when faced with a deadline or budget constraint, losing sight of more obvious solutions.

Difficulty being pragmatic enough to solve the issues, allowing problems to reoccur several times before a solution is put in place.

Third, discuss the Problem Solving Evaluation Process, Strengths & Weaknesses with your team as a whole, as well as the Individual Evaluation with each team member one-on-one.

Train your team on each of the problem solving mindsets, making it an open discussion amongst them.  This will help you tackle problems more strategically when they do indeed occur. 

Work with each individual to overcome their weaknesses by leaning on other team members who can use their strengths to assist. 

Once you meet with everyone individually, it is up to you whether or not to share the conclusions with the entire team. Personally, I believe this is an important step, but it really depends on your team and if you think they are ready to share the information. You may choose to wait until positive steps have been taken to improve weaknesses, then share. Team members may also decide to share the information on their own.

Fourth and finally, you are now ready to tackle your next business problem!

Once a problem is identified-

Assign the problem to one team member to lead the solution process based on their strengths. 

Assign other team members as support based on leader’s weaknesses. 

This team approach will get you to the best, most competitive solution faster.

It all starts with the ability to self reflect and develop your own skills. Here is a really useful tool to get you and your team started, 4 Essential Skills for Leaders, Managers & High Potentials .

Lisa, a thought leader in Business Management and Leadership, founded ManagingAmericans.com in 2011 after 20+ years successfully leading and driving growth in the corporate world. Her objective is to help mentor and develop professionals to be better leaders, managers, team players and individual contributors in a “do-it-yourself” learning environment using unique & practical tools to support the process. Lisa’s career spans from Global Sales & Marketing to General Management of Multinational Conglomerates. Today she continues to consult small business owners through her private practice, as well as teach leaders and mangers as an Adjunct MBA Instructor for Southern New Hampshire University. Lisa's publications include: • 4 Essential Skills for Leaders, Managers & High Potentials © 2013 • The Cross Functional Business: Beyond Teams © 2015 • Action Item List: Drive Your Team With One Simple Tool © 2016 • Small Business Planning Made Simple: What To Consider Before You Invest © 2017

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Comments (4)

I find it to be a mix of everyone you mentioned :) although I recognized myself the most in Positive and Logical problem solver.

Thank you so much for the information about Problem Solving.

I was very happy to discover this great site. I need to thank you for your time just for this fantastic read!

Outstanding post, I believe people should larn a lot from this website, its really user pleasant.

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Interview Questions

Comprehensive Interview Guide: 60+ Professions Explored in Detail

26 Good Examples of Problem Solving (Interview Answers)

By Biron Clark

Published: November 15, 2023

Employers like to hire people who can solve problems and work well under pressure. A job rarely goes 100% according to plan, so hiring managers will be more likely to hire you if you seem like you can handle unexpected challenges while staying calm and logical in your approach.

But how do they measure this?

They’re going to ask you interview questions about these problem solving skills, and they might also look for examples of problem solving on your resume and cover letter. So coming up, I’m going to share a list of examples of problem solving, whether you’re an experienced job seeker or recent graduate.

Then I’ll share sample interview answers to, “Give an example of a time you used logic to solve a problem?”

Problem-Solving Defined

It is the ability to identify the problem, prioritize based on gravity and urgency, analyze the root cause, gather relevant information, develop and evaluate viable solutions, decide on the most effective and logical solution, and plan and execute implementation. 

Problem-solving also involves critical thinking, communication, listening, creativity, research, data gathering, risk assessment, continuous learning, decision-making, and other soft and technical skills.

Solving problems not only prevent losses or damages but also boosts self-confidence and reputation when you successfully execute it. The spotlight shines on you when people see you handle issues with ease and savvy despite the challenges. Your ability and potential to be a future leader that can take on more significant roles and tackle bigger setbacks shine through. Problem-solving is a skill you can master by learning from others and acquiring wisdom from their and your own experiences. 

It takes a village to come up with solutions, but a good problem solver can steer the team towards the best choice and implement it to achieve the desired result.

Watch: 26 Good Examples of Problem Solving

Examples of problem solving scenarios in the workplace.

• Correcting a mistake at work, whether it was made by you or someone else
• Overcoming a delay at work through problem solving and communication
• Resolving an issue with a difficult or upset customer
• Overcoming issues related to a limited budget, and still delivering good work through the use of creative problem solving
• Overcoming a scheduling/staffing shortage in the department to still deliver excellent work
• Troubleshooting and resolving technical issues
• Handling and resolving a conflict with a coworker
• Solving any problems related to money, customer billing, accounting and bookkeeping, etc.
• Taking initiative when another team member overlooked or missed something important
• Taking initiative to meet with your superior to discuss a problem before it became potentially worse
• Solving a safety issue at work or reporting the issue to those who could solve it
• Using problem solving abilities to reduce/eliminate a company expense
• Finding a way to make the company more profitable through new service or product offerings, new pricing ideas, promotion and sale ideas, etc.
• Changing how a process, team, or task is organized to make it more efficient
• Using creative thinking to come up with a solution that the company hasn’t used before
• Performing research to collect data and information to find a new solution to a problem
• Boosting a company or team’s performance by improving some aspect of communication among employees
• Finding a new piece of data that can guide a company’s decisions or strategy better in a certain area

Problem Solving Examples for Recent Grads/Entry Level Job Seekers

• Coordinating work between team members in a class project
• Reassigning a missing team member’s work to other group members in a class project
• Adjusting your workflow on a project to accommodate a tight deadline
• Speaking to your professor to get help when you were struggling or unsure about a project
• Asking classmates, peers, or professors for help in an area of struggle
• Talking to your academic advisor to brainstorm solutions to a problem you were facing
• Researching solutions to an academic problem online, via Google or other methods
• Using problem solving and creative thinking to obtain an internship or other work opportunity during school after struggling at first

You can share all of the examples above when you’re asked questions about problem solving in your interview. As you can see, even if you have no professional work experience, it’s possible to think back to problems and unexpected challenges that you faced in your studies and discuss how you solved them.

Interview Answers to “Give an Example of an Occasion When You Used Logic to Solve a Problem”

Now, let’s look at some sample interview answers to, “Give me an example of a time you used logic to solve a problem,” since you’re likely to hear this interview question in all sorts of industries.

Example Answer 1:

At my current job, I recently solved a problem where a client was upset about our software pricing. They had misunderstood the sales representative who explained pricing originally, and when their package renewed for its second month, they called to complain about the invoice. I apologized for the confusion and then spoke to our billing team to see what type of solution we could come up with. We decided that the best course of action was to offer a long-term pricing package that would provide a discount. This not only solved the problem but got the customer to agree to a longer-term contract, which means we’ll keep their business for at least one year now, and they’re happy with the pricing. I feel I got the best possible outcome and the way I chose to solve the problem was effective.

Example Answer 2:

In my last job, I had to do quite a bit of problem solving related to our shift scheduling. We had four people quit within a week and the department was severely understaffed. I coordinated a ramp-up of our hiring efforts, I got approval from the department head to offer bonuses for overtime work, and then I found eight employees who were willing to do overtime this month. I think the key problem solving skills here were taking initiative, communicating clearly, and reacting quickly to solve this problem before it became an even bigger issue.

Example Answer 3:

In my current marketing role, my manager asked me to come up with a solution to our declining social media engagement. I assessed our current strategy and recent results, analyzed what some of our top competitors were doing, and then came up with an exact blueprint we could follow this year to emulate our best competitors but also stand out and develop a unique voice as a brand. I feel this is a good example of using logic to solve a problem because it was based on analysis and observation of competitors, rather than guessing or quickly reacting to the situation without reliable data. I always use logic and data to solve problems when possible. The project turned out to be a success and we increased our social media engagement by an average of 82% by the end of the year.

Answering Questions About Problem Solving with the STAR Method

When you answer interview questions about problem solving scenarios, or if you decide to demonstrate your problem solving skills in a cover letter (which is a good idea any time the job description mention problem solving as a necessary skill), I recommend using the STAR method to tell your story.

STAR stands for:

It’s a simple way of walking the listener or reader through the story in a way that will make sense to them. So before jumping in and talking about the problem that needed solving, make sure to describe the general situation. What job/company were you working at? When was this? Then, you can describe the task at hand and the problem that needed solving. After this, describe the course of action you chose and why. Ideally, show that you evaluated all the information you could given the time you had, and made a decision based on logic and fact.

Finally, describe a positive result you got.

Whether you’re answering interview questions about problem solving or writing a cover letter, you should only choose examples where you got a positive result and successfully solved the issue.

Example answer:

Situation : We had an irate client who was a social media influencer and had impossible delivery time demands we could not meet. She spoke negatively about us in her vlog and asked her followers to boycott our products. (Task : To develop an official statement to explain our company’s side, clarify the issue, and prevent it from getting out of hand). Action : I drafted a statement that balanced empathy, understanding, and utmost customer service with facts, logic, and fairness. It was direct, simple, succinct, and phrased to highlight our brand values while addressing the issue in a logical yet sensitive way.   We also tapped our influencer partners to subtly and indirectly share their positive experiences with our brand so we could counter the negative content being shared online.  Result : We got the results we worked for through proper communication and a positive and strategic campaign. The irate client agreed to have a dialogue with us. She apologized to us, and we reaffirmed our commitment to delivering quality service to all. We assured her that she can reach out to us anytime regarding her purchases and that we’d gladly accommodate her requests whenever possible. She also retracted her negative statements in her vlog and urged her followers to keep supporting our brand.

What Are Good Outcomes of Problem Solving?

Whenever you answer interview questions about problem solving or share examples of problem solving in a cover letter, you want to be sure you’re sharing a positive outcome.

Below are good outcomes of problem solving:

• Saving the company time or money
• Making the company money
• Pleasing/keeping a customer
• Obtaining new customers
• Solving a safety issue
• Solving a staffing/scheduling issue
• Solving a logistical issue
• Solving a company hiring issue
• Solving a technical/software issue
• Making a process more efficient and faster for the company
• Creating a new business process to make the company more profitable
• Improving the company’s brand/image/reputation
• Getting the company positive reviews from customers/clients

Every employer wants to make more money, save money, and save time. If you can assess your problem solving experience and think about how you’ve helped past employers in those three areas, then that’s a great start. That’s where I recommend you begin looking for stories of times you had to solve problems.

Tips to Improve Your Problem Solving Skills

Throughout your career, you’re going to get hired for better jobs and earn more money if you can show employers that you’re a problem solver. So to improve your problem solving skills, I recommend always analyzing a problem and situation before acting. When discussing problem solving with employers, you never want to sound like you rush or make impulsive decisions. They want to see fact-based or data-based decisions when you solve problems.

Next, to get better at solving problems, analyze the outcomes of past solutions you came up with. You can recognize what works and what doesn’t. Think about how you can get better at researching and analyzing a situation, but also how you can get better at communicating, deciding the right people in the organization to talk to and “pull in” to help you if needed, etc.

Finally, practice staying calm even in stressful situations. Take a few minutes to walk outside if needed. Step away from your phone and computer to clear your head. A work problem is rarely so urgent that you cannot take five minutes to think (with the possible exception of safety problems), and you’ll get better outcomes if you solve problems by acting logically instead of rushing to react in a panic.

You can use all of the ideas above to describe your problem solving skills when asked interview questions about the topic. If you say that you do the things above, employers will be impressed when they assess your problem solving ability.

If you practice the tips above, you’ll be ready to share detailed, impressive stories and problem solving examples that will make hiring managers want to offer you the job. Every employer appreciates a problem solver, whether solving problems is a requirement listed on the job description or not. And you never know which hiring manager or interviewer will ask you about a time you solved a problem, so you should always be ready to discuss this when applying for a job.

Related interview questions & answers:

• How do you handle stress?
• How do you handle conflict?
• Tell me about a time when you failed

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