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Framing a Conceptual Problem

At-home/in-class exercise.

This handout (inspired by the Little Red Schoolhouse  approach ) explains how to frame a conceptual problem in a paper’s introduction. Students may use this handout to consider the discrete rhetorical moves an introduction involves, especially when creating research problems of their own in WR 15x. 

To help students reflect on the key elements of framing a problem engagingly in order to motivate readers to care about what they’re arguing; to review together an example (in this case, drawn loosely from conversations about the purpose and identity of higher education) and prompt students to reflect on how this example might connect to their own projects.

introduction; problem; question

Example/Analysis

Step 1: Begin by establishing an element of common ground for your readers.

  • Example:  Contemporary high schools emphasize college attendance as the goal for most students. They demonstrate this emphasis through the development of an increasing number of college prep programs and through the consideration of statistics on how many graduates go on to college as a metric for a high school’s “success.”
  • Analysis: This statement serves as common ground because it is likely that very few people would disagree with this statement, especially not the parents, students, or educators who might make up our audience.

Step 2: Continue by offering a problem or complication of which readers may may not already be aware. This problem serves as a destabilizing moment, making readers no longer certain about the common ground.

  • Example:  But, in 2006, the Wall Street Journal   published an article that suggested that “skilled [manual] labor is becoming one of the sure paths to a good living.”
  • Analysis:  This new piece of information complicates what our audience understands about the contemporary experience of education leading to work.

Step 3: To continue to convince our readers that our conceptual problem is important, we must present the potential consequences if this problem is not resolved, or the rationale for why this problem matters.

  • Example: If we don’t further examine this conflict, our nation’s educational system could be preparing a generation of students for jobs that will  be extremely scarce when these students enter the workforce.
  • Analysis:  This explanation of the potential consequences gives our audience a chance to see why it is vital that we explore the problem, and how the problem might relate to themselves or students they know.

Step 4: Lastly, we need to propose a solution that demonstrates that there is still something that can be done to forestall the potential consequences–a potential claim, in other words.

  • Example : In addition to rigorous college prep, high schools must   reinvigorate trade studies to better prepare students for a wider variety of employment possibilities.
  • Analysis:  Proposing a possible solution completes our problem by offering one way to solve it. The argument now has a direction from our perspective, but it still has room for others to propose their own solutions.

How to master the seven-step problem-solving process

In this episode of the McKinsey Podcast , Simon London speaks with Charles Conn, CEO of venture-capital firm Oxford Sciences Innovation, and McKinsey senior partner Hugo Sarrazin about the complexities of different problem-solving strategies.

Podcast transcript

Simon London: Hello, and welcome to this episode of the McKinsey Podcast , with me, Simon London. What’s the number-one skill you need to succeed professionally? Salesmanship, perhaps? Or a facility with statistics? Or maybe the ability to communicate crisply and clearly? Many would argue that at the very top of the list comes problem solving: that is, the ability to think through and come up with an optimal course of action to address any complex challenge—in business, in public policy, or indeed in life.

Looked at this way, it’s no surprise that McKinsey takes problem solving very seriously, testing for it during the recruiting process and then honing it, in McKinsey consultants, through immersion in a structured seven-step method. To discuss the art of problem solving, I sat down in California with McKinsey senior partner Hugo Sarrazin and also with Charles Conn. Charles is a former McKinsey partner, entrepreneur, executive, and coauthor of the book Bulletproof Problem Solving: The One Skill That Changes Everything [John Wiley & Sons, 2018].

Charles and Hugo, welcome to the podcast. Thank you for being here.

Hugo Sarrazin: Our pleasure.

Charles Conn: It’s terrific to be here.

Simon London: Problem solving is a really interesting piece of terminology. It could mean so many different things. I have a son who’s a teenage climber. They talk about solving problems. Climbing is problem solving. Charles, when you talk about problem solving, what are you talking about?

Charles Conn: For me, problem solving is the answer to the question “What should I do?” It’s interesting when there’s uncertainty and complexity, and when it’s meaningful because there are consequences. Your son’s climbing is a perfect example. There are consequences, and it’s complicated, and there’s uncertainty—can he make that grab? I think we can apply that same frame almost at any level. You can think about questions like “What town would I like to live in?” or “Should I put solar panels on my roof?”

You might think that’s a funny thing to apply problem solving to, but in my mind it’s not fundamentally different from business problem solving, which answers the question “What should my strategy be?” Or problem solving at the policy level: “How do we combat climate change?” “Should I support the local school bond?” I think these are all part and parcel of the same type of question, “What should I do?”

I’m a big fan of structured problem solving. By following steps, we can more clearly understand what problem it is we’re solving, what are the components of the problem that we’re solving, which components are the most important ones for us to pay attention to, which analytic techniques we should apply to those, and how we can synthesize what we’ve learned back into a compelling story. That’s all it is, at its heart.

I think sometimes when people think about seven steps, they assume that there’s a rigidity to this. That’s not it at all. It’s actually to give you the scope for creativity, which often doesn’t exist when your problem solving is muddled.

Simon London: You were just talking about the seven-step process. That’s what’s written down in the book, but it’s a very McKinsey process as well. Without getting too deep into the weeds, let’s go through the steps, one by one. You were just talking about problem definition as being a particularly important thing to get right first. That’s the first step. Hugo, tell us about that.

Hugo Sarrazin: It is surprising how often people jump past this step and make a bunch of assumptions. The most powerful thing is to step back and ask the basic questions—“What are we trying to solve? What are the constraints that exist? What are the dependencies?” Let’s make those explicit and really push the thinking and defining. At McKinsey, we spend an enormous amount of time in writing that little statement, and the statement, if you’re a logic purist, is great. You debate. “Is it an ‘or’? Is it an ‘and’? What’s the action verb?” Because all these specific words help you get to the heart of what matters.

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Simon London: So this is a concise problem statement.

Hugo Sarrazin: Yeah. It’s not like “Can we grow in Japan?” That’s interesting, but it is “What, specifically, are we trying to uncover in the growth of a product in Japan? Or a segment in Japan? Or a channel in Japan?” When you spend an enormous amount of time, in the first meeting of the different stakeholders, debating this and having different people put forward what they think the problem definition is, you realize that people have completely different views of why they’re here. That, to me, is the most important step.

Charles Conn: I would agree with that. For me, the problem context is critical. When we understand “What are the forces acting upon your decision maker? How quickly is the answer needed? With what precision is the answer needed? Are there areas that are off limits or areas where we would particularly like to find our solution? Is the decision maker open to exploring other areas?” then you not only become more efficient, and move toward what we call the critical path in problem solving, but you also make it so much more likely that you’re not going to waste your time or your decision maker’s time.

How often do especially bright young people run off with half of the idea about what the problem is and start collecting data and start building models—only to discover that they’ve really gone off half-cocked.

Hugo Sarrazin: Yeah.

Charles Conn: And in the wrong direction.

Simon London: OK. So step one—and there is a real art and a structure to it—is define the problem. Step two, Charles?

Charles Conn: My favorite step is step two, which is to use logic trees to disaggregate the problem. Every problem we’re solving has some complexity and some uncertainty in it. The only way that we can really get our team working on the problem is to take the problem apart into logical pieces.

What we find, of course, is that the way to disaggregate the problem often gives you an insight into the answer to the problem quite quickly. I love to do two or three different cuts at it, each one giving a bit of a different insight into what might be going wrong. By doing sensible disaggregations, using logic trees, we can figure out which parts of the problem we should be looking at, and we can assign those different parts to team members.

Simon London: What’s a good example of a logic tree on a sort of ratable problem?

Charles Conn: Maybe the easiest one is the classic profit tree. Almost in every business that I would take a look at, I would start with a profit or return-on-assets tree. In its simplest form, you have the components of revenue, which are price and quantity, and the components of cost, which are cost and quantity. Each of those can be broken out. Cost can be broken into variable cost and fixed cost. The components of price can be broken into what your pricing scheme is. That simple tree often provides insight into what’s going on in a business or what the difference is between that business and the competitors.

If we add the leg, which is “What’s the asset base or investment element?”—so profit divided by assets—then we can ask the question “Is the business using its investments sensibly?” whether that’s in stores or in manufacturing or in transportation assets. I hope we can see just how simple this is, even though we’re describing it in words.

When I went to work with Gordon Moore at the Moore Foundation, the problem that he asked us to look at was “How can we save Pacific salmon?” Now, that sounds like an impossible question, but it was amenable to precisely the same type of disaggregation and allowed us to organize what became a 15-year effort to improve the likelihood of good outcomes for Pacific salmon.

Simon London: Now, is there a danger that your logic tree can be impossibly large? This, I think, brings us onto the third step in the process, which is that you have to prioritize.

Charles Conn: Absolutely. The third step, which we also emphasize, along with good problem definition, is rigorous prioritization—we ask the questions “How important is this lever or this branch of the tree in the overall outcome that we seek to achieve? How much can I move that lever?” Obviously, we try and focus our efforts on ones that have a big impact on the problem and the ones that we have the ability to change. With salmon, ocean conditions turned out to be a big lever, but not one that we could adjust. We focused our attention on fish habitats and fish-harvesting practices, which were big levers that we could affect.

People spend a lot of time arguing about branches that are either not important or that none of us can change. We see it in the public square. When we deal with questions at the policy level—“Should you support the death penalty?” “How do we affect climate change?” “How can we uncover the causes and address homelessness?”—it’s even more important that we’re focusing on levers that are big and movable.

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Simon London: Let’s move swiftly on to step four. You’ve defined your problem, you disaggregate it, you prioritize where you want to analyze—what you want to really look at hard. Then you got to the work plan. Now, what does that mean in practice?

Hugo Sarrazin: Depending on what you’ve prioritized, there are many things you could do. It could be breaking the work among the team members so that people have a clear piece of the work to do. It could be defining the specific analyses that need to get done and executed, and being clear on time lines. There’s always a level-one answer, there’s a level-two answer, there’s a level-three answer. Without being too flippant, I can solve any problem during a good dinner with wine. It won’t have a whole lot of backing.

Simon London: Not going to have a lot of depth to it.

Hugo Sarrazin: No, but it may be useful as a starting point. If the stakes are not that high, that could be OK. If it’s really high stakes, you may need level three and have the whole model validated in three different ways. You need to find a work plan that reflects the level of precision, the time frame you have, and the stakeholders you need to bring along in the exercise.

Charles Conn: I love the way you’ve described that, because, again, some people think of problem solving as a linear thing, but of course what’s critical is that it’s iterative. As you say, you can solve the problem in one day or even one hour.

Charles Conn: We encourage our teams everywhere to do that. We call it the one-day answer or the one-hour answer. In work planning, we’re always iterating. Every time you see a 50-page work plan that stretches out to three months, you know it’s wrong. It will be outmoded very quickly by that learning process that you described. Iterative problem solving is a critical part of this. Sometimes, people think work planning sounds dull, but it isn’t. It’s how we know what’s expected of us and when we need to deliver it and how we’re progressing toward the answer. It’s also the place where we can deal with biases. Bias is a feature of every human decision-making process. If we design our team interactions intelligently, we can avoid the worst sort of biases.

Simon London: Here we’re talking about cognitive biases primarily, right? It’s not that I’m biased against you because of your accent or something. These are the cognitive biases that behavioral sciences have shown we all carry around, things like anchoring, overoptimism—these kinds of things.

Both: Yeah.

Charles Conn: Availability bias is the one that I’m always alert to. You think you’ve seen the problem before, and therefore what’s available is your previous conception of it—and we have to be most careful about that. In any human setting, we also have to be careful about biases that are based on hierarchies, sometimes called sunflower bias. I’m sure, Hugo, with your teams, you make sure that the youngest team members speak first. Not the oldest team members, because it’s easy for people to look at who’s senior and alter their own creative approaches.

Hugo Sarrazin: It’s helpful, at that moment—if someone is asserting a point of view—to ask the question “This was true in what context?” You’re trying to apply something that worked in one context to a different one. That can be deadly if the context has changed, and that’s why organizations struggle to change. You promote all these people because they did something that worked well in the past, and then there’s a disruption in the industry, and they keep doing what got them promoted even though the context has changed.

Simon London: Right. Right.

Hugo Sarrazin: So it’s the same thing in problem solving.

Charles Conn: And it’s why diversity in our teams is so important. It’s one of the best things about the world that we’re in now. We’re likely to have people from different socioeconomic, ethnic, and national backgrounds, each of whom sees problems from a slightly different perspective. It is therefore much more likely that the team will uncover a truly creative and clever approach to problem solving.

Simon London: Let’s move on to step five. You’ve done your work plan. Now you’ve actually got to do the analysis. The thing that strikes me here is that the range of tools that we have at our disposal now, of course, is just huge, particularly with advances in computation, advanced analytics. There’s so many things that you can apply here. Just talk about the analysis stage. How do you pick the right tools?

Charles Conn: For me, the most important thing is that we start with simple heuristics and explanatory statistics before we go off and use the big-gun tools. We need to understand the shape and scope of our problem before we start applying these massive and complex analytical approaches.

Simon London: Would you agree with that?

Hugo Sarrazin: I agree. I think there are so many wonderful heuristics. You need to start there before you go deep into the modeling exercise. There’s an interesting dynamic that’s happening, though. In some cases, for some types of problems, it is even better to set yourself up to maximize your learning. Your problem-solving methodology is test and learn, test and learn, test and learn, and iterate. That is a heuristic in itself, the A/B testing that is used in many parts of the world. So that’s a problem-solving methodology. It’s nothing different. It just uses technology and feedback loops in a fast way. The other one is exploratory data analysis. When you’re dealing with a large-scale problem, and there’s so much data, I can get to the heuristics that Charles was talking about through very clever visualization of data.

You test with your data. You need to set up an environment to do so, but don’t get caught up in neural-network modeling immediately. You’re testing, you’re checking—“Is the data right? Is it sound? Does it make sense?”—before you launch too far.

Simon London: You do hear these ideas—that if you have a big enough data set and enough algorithms, they’re going to find things that you just wouldn’t have spotted, find solutions that maybe you wouldn’t have thought of. Does machine learning sort of revolutionize the problem-solving process? Or are these actually just other tools in the toolbox for structured problem solving?

Charles Conn: It can be revolutionary. There are some areas in which the pattern recognition of large data sets and good algorithms can help us see things that we otherwise couldn’t see. But I do think it’s terribly important we don’t think that this particular technique is a substitute for superb problem solving, starting with good problem definition. Many people use machine learning without understanding algorithms that themselves can have biases built into them. Just as 20 years ago, when we were doing statistical analysis, we knew that we needed good model definition, we still need a good understanding of our algorithms and really good problem definition before we launch off into big data sets and unknown algorithms.

Simon London: Step six. You’ve done your analysis.

Charles Conn: I take six and seven together, and this is the place where young problem solvers often make a mistake. They’ve got their analysis, and they assume that’s the answer, and of course it isn’t the answer. The ability to synthesize the pieces that came out of the analysis and begin to weave those into a story that helps people answer the question “What should I do?” This is back to where we started. If we can’t synthesize, and we can’t tell a story, then our decision maker can’t find the answer to “What should I do?”

Simon London: But, again, these final steps are about motivating people to action, right?

Charles Conn: Yeah.

Simon London: I am slightly torn about the nomenclature of problem solving because it’s on paper, right? Until you motivate people to action, you actually haven’t solved anything.

Charles Conn: I love this question because I think decision-making theory, without a bias to action, is a waste of time. Everything in how I approach this is to help people take action that makes the world better.

Simon London: Hence, these are absolutely critical steps. If you don’t do this well, you’ve just got a bunch of analysis.

Charles Conn: We end up in exactly the same place where we started, which is people speaking across each other, past each other in the public square, rather than actually working together, shoulder to shoulder, to crack these important problems.

Simon London: In the real world, we have a lot of uncertainty—arguably, increasing uncertainty. How do good problem solvers deal with that?

Hugo Sarrazin: At every step of the process. In the problem definition, when you’re defining the context, you need to understand those sources of uncertainty and whether they’re important or not important. It becomes important in the definition of the tree.

You need to think carefully about the branches of the tree that are more certain and less certain as you define them. They don’t have equal weight just because they’ve got equal space on the page. Then, when you’re prioritizing, your prioritization approach may put more emphasis on things that have low probability but huge impact—or, vice versa, may put a lot of priority on things that are very likely and, hopefully, have a reasonable impact. You can introduce that along the way. When you come back to the synthesis, you just need to be nuanced about what you’re understanding, the likelihood.

Often, people lack humility in the way they make their recommendations: “This is the answer.” They’re very precise, and I think we would all be well-served to say, “This is a likely answer under the following sets of conditions” and then make the level of uncertainty clearer, if that is appropriate. It doesn’t mean you’re always in the gray zone; it doesn’t mean you don’t have a point of view. It just means that you can be explicit about the certainty of your answer when you make that recommendation.

Simon London: So it sounds like there is an underlying principle: “Acknowledge and embrace the uncertainty. Don’t pretend that it isn’t there. Be very clear about what the uncertainties are up front, and then build that into every step of the process.”

Hugo Sarrazin: Every step of the process.

Simon London: Yeah. We have just walked through a particular structured methodology for problem solving. But, of course, this is not the only structured methodology for problem solving. One that is also very well-known is design thinking, which comes at things very differently. So, Hugo, I know you have worked with a lot of designers. Just give us a very quick summary. Design thinking—what is it, and how does it relate?

Hugo Sarrazin: It starts with an incredible amount of empathy for the user and uses that to define the problem. It does pause and go out in the wild and spend an enormous amount of time seeing how people interact with objects, seeing the experience they’re getting, seeing the pain points or joy—and uses that to infer and define the problem.

Simon London: Problem definition, but out in the world.

Hugo Sarrazin: With an enormous amount of empathy. There’s a huge emphasis on empathy. Traditional, more classic problem solving is you define the problem based on an understanding of the situation. This one almost presupposes that we don’t know the problem until we go see it. The second thing is you need to come up with multiple scenarios or answers or ideas or concepts, and there’s a lot of divergent thinking initially. That’s slightly different, versus the prioritization, but not for long. Eventually, you need to kind of say, “OK, I’m going to converge again.” Then you go and you bring things back to the customer and get feedback and iterate. Then you rinse and repeat, rinse and repeat. There’s a lot of tactile building, along the way, of prototypes and things like that. It’s very iterative.

Simon London: So, Charles, are these complements or are these alternatives?

Charles Conn: I think they’re entirely complementary, and I think Hugo’s description is perfect. When we do problem definition well in classic problem solving, we are demonstrating the kind of empathy, at the very beginning of our problem, that design thinking asks us to approach. When we ideate—and that’s very similar to the disaggregation, prioritization, and work-planning steps—we do precisely the same thing, and often we use contrasting teams, so that we do have divergent thinking. The best teams allow divergent thinking to bump them off whatever their initial biases in problem solving are. For me, design thinking gives us a constant reminder of creativity, empathy, and the tactile nature of problem solving, but it’s absolutely complementary, not alternative.

Simon London: I think, in a world of cross-functional teams, an interesting question is do people with design-thinking backgrounds really work well together with classical problem solvers? How do you make that chemistry happen?

Hugo Sarrazin: Yeah, it is not easy when people have spent an enormous amount of time seeped in design thinking or user-centric design, whichever word you want to use. If the person who’s applying classic problem-solving methodology is very rigid and mechanical in the way they’re doing it, there could be an enormous amount of tension. If there’s not clarity in the role and not clarity in the process, I think having the two together can be, sometimes, problematic.

The second thing that happens often is that the artifacts the two methodologies try to gravitate toward can be different. Classic problem solving often gravitates toward a model; design thinking migrates toward a prototype. Rather than writing a big deck with all my supporting evidence, they’ll bring an example, a thing, and that feels different. Then you spend your time differently to achieve those two end products, so that’s another source of friction.

Now, I still think it can be an incredibly powerful thing to have the two—if there are the right people with the right mind-set, if there is a team that is explicit about the roles, if we’re clear about the kind of outcomes we are attempting to bring forward. There’s an enormous amount of collaborativeness and respect.

Simon London: But they have to respect each other’s methodology and be prepared to flex, maybe, a little bit, in how this process is going to work.

Hugo Sarrazin: Absolutely.

Simon London: The other area where, it strikes me, there could be a little bit of a different sort of friction is this whole concept of the day-one answer, which is what we were just talking about in classical problem solving. Now, you know that this is probably not going to be your final answer, but that’s how you begin to structure the problem. Whereas I would imagine your design thinkers—no, they’re going off to do their ethnographic research and get out into the field, potentially for a long time, before they come back with at least an initial hypothesis.

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Hugo Sarrazin: That is a great callout, and that’s another difference. Designers typically will like to soak into the situation and avoid converging too quickly. There’s optionality and exploring different options. There’s a strong belief that keeps the solution space wide enough that you can come up with more radical ideas. If there’s a large design team or many designers on the team, and you come on Friday and say, “What’s our week-one answer?” they’re going to struggle. They’re not going to be comfortable, naturally, to give that answer. It doesn’t mean they don’t have an answer; it’s just not where they are in their thinking process.

Simon London: I think we are, sadly, out of time for today. But Charles and Hugo, thank you so much.

Charles Conn: It was a pleasure to be here, Simon.

Hugo Sarrazin: It was a pleasure. Thank you.

Simon London: And thanks, as always, to you, our listeners, for tuning into this episode of the McKinsey Podcast . If you want to learn more about problem solving, you can find the book, Bulletproof Problem Solving: The One Skill That Changes Everything , online or order it through your local bookstore. To learn more about McKinsey, you can of course find us at McKinsey.com.

Charles Conn is CEO of Oxford Sciences Innovation and an alumnus of McKinsey’s Sydney office. Hugo Sarrazin is a senior partner in the Silicon Valley office, where Simon London, a member of McKinsey Publishing, is also based.

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What Are Conceptual Skills?

Definition and Examples of Conceptual Skills

conceptual problem solving definition

Types of Conceptual Skills

  • Communication

Creative Thinking

Problem solving.

Luis Alvarez / Getty Images 

Conceptual skills help employees avoid the pitfall of not “seeing the forest for the trees,” as the saying goes. If you possess conceptual skills, you can both envision problems and brainstorm solutions. Having these skills likely means that you're a creative type, and can work through abstract concepts and ideas. 

Employers value conceptual skills, and in some roles, having them is essential. 

Find out more about the various varieties of conceptual skills, and why they're important. 

Conceptual skills allow someone to see how all the parts of an organization work together to achieve the organization’s goals. 

They're essential for leadership positions, particularly upper-management and middle-management jobs. Managers need to make sure everyone working for them is helping to achieve the company’s larger goals. Rather than just getting bogged down in the details of day-to-day operations, upper and middle managers also need to keep the company’s “big picture” aims in mind.

However, conceptual skills are useful in almost every position. 

Even when you have a particular list of duties, it is always helpful to know how your part fits into the broader goals of your organization. Plus, if you have conceptual skills, you can tackle big challenges that come up for your team and devise creative and thoughtful solutions that go beyond fulfilling rote tasks. 

Take a look at this list of the most important conceptual skills sought by most employers. It also includes sublists of related skills that employers tend to seek in job applicants.

Develop and emphasize these abilities in job applications, resumes, cover letters, and interviews. 

You can use these skills lists throughout your job search process. Insert the soft skills you’ve developed into your  resume  when you detail your work history, and highlight your conceptual abilities during interviews. 

A very important conceptual skill is the ability to  analyze  and evaluate whether a company is achieving its goals and sticking to its business plan. Managers have to look at how all the departments are working together, spot particular issues, and then decide what steps need to be taken.

  • Analytical abilities
  • Analysis and diagnosis of complex situations
  • Cognitive abilities
  • Defining strategies for reaching goals
  • Diagnosing problems within the company
  • Forecasting for the business or department
  • Questioning the connection between new initiatives and the strategic plan
  • Recognizing opportunities for improvement
  • Seeing the key elements in any situation
  • Selecting important information from large data sets
  • Understanding relationships between departments
  • Understanding relationships between ideas, concepts, and patterns
  • Understanding the organization’s business model

Without strong  communication skills , an employee won’t be able to share their solutions with the right people. Someone with conceptual skills can explain a problem and offer solutions. They can speak effectively to people at all levels in the organization, from upper management to employees within a specific department. 

People with conceptual skills are also good  listeners . They have to listen to the needs of the employers before devising a plan of action.

  • Active listening
  • Contextualizing problems
  • Effectively communicating strategy
  • Implementing thinking
  • Interpersonal
  • Interrelational
  • Presentational
  • Verbal communication

People with conceptual skills must be very creative. They must be able to devise creative solutions to abstract problems, which involves thinking outside of the box. They must consider how all the departments within an organization work together, and how they can work to solve a particular problem.

  • Abstract thinking
  • Being open-minded 
  • Creative thinking
  • Examining complex issues
  • Formulating ideas
  • Formulating processes
  • Intuitive thinking
  • Organization

Someone with conceptual skills also has strong leadership skills. They need to convince employees and employers to follow their vision for the company. They need to inspire others to trust and follow them, and that takes strong leadership.

  • Commitment to achieving company goals
  • Persuasiveness
  • Strategic planning
  • Task direction
  • Task implementation
  • Team building
  • Visualizing the company as a whole

Once an employee analyzes a situation and identifies a problem, they then have to decide how to solve that problem. People with conceptual skills are good at solving problems and making strong, swift decisions that will yield results.

  • Able to ignore extraneous information
  • Broad thinking
  • Critical thinking
  • Breaking down a project into manageable pieces
  • Decision making
  • Executing solutions
  • Formulating effective courses of action
  • Logical thinking
  • Multitasking
  • Prioritization
  • Resolving industry problems

Key Takeaways

  • Conceptual skills allow you to foresee issues, brainstorm solutions, and understand the strategic big picture behind a company's day-to-day operations. 
  • Possessing conceptual skills is particularly important for people in managerial roles, but they're helpful if you're in any role. 
  • Include relevant types of conceptual skills in your resume and cover letter. Plus, use skills keywords during your job interviews. Be prepared to give examples of how you've used each one.

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Definition of Conceptual Reasoning

What is the definition of conceptual reasoning, general definition, conceptual reasoning in science, conceptual reasoning in the humanities, conceptual reasoning in psychology.

Conceptual reasoning, also known as conceptual thinking, refers to a specific type of thought that involves abstraction and reflection, as well as creative thinking and problem solving. It is a term that encompasses many types of thought, which all relate to thinking in abstract concepts and intuitive ways. Conceptual reasoning has many applications and is referred to in many different fields. Scientists, academics and psychologists are a few of the professionals who deal routinely with different kinds of conceptual reasoning. Conceptual thinkers also use this type of reasoning in their thought processes and in their ideas.

Conceptual reasoning means ways of critical thinking that include problem solving, analyzing, developing new ideas and reflecting on past and present experiences. People sometimes define this kind of reasoning as thinking outside the box. When we use conceptual reasoning, we are willing to see things in a different way and accept that there is not one sole objective truth to how things work. We put aside common beliefs and approach a problem with a fresh mind.

One area where conceptual reasoning is particularly relevant is science. Depending on the kind of science, conceptual reasoning solves many problems and creates new ideas and ways of thinking. Scientists have to acknowledge current theories, but often must put them aside to allow their own ideas to emerge. Fields such as medicine, environmental engineering and technology rely heavily on conceptual reasoning for the development of new ways of looking at the world. For example, much of today's scientific thought around environmentally sound energy sources involves conceptual thinking. Biodiesel gas, wind harnessing and solar power all require conceptual reasoning for problem solving.

In addition to its concrete uses in the sciences, conceptual reasoning is a major part of studying and working within a vast array of humanities. Artists constantly see reality in new ways and have to be open to creativity and reinvention. When studying literature or history, scholars reflect upon events and think outside conventional frameworks to develop new ideas. New forms of music also spring from the idea of conceptual reasoning and the way it works within abstraction. Using conceptual reasoning allows us to see the big picture in some settings and situations, so day-to-day actions and happenings can be analyzed within decision-making for more abstract thinking and abstract ideas.

Finally, the ability to use conceptual reasoning plays a role in our psychology. Psychologists use it as a measure of IQ and mental capability. When a person has difficulty with conceptual reasoning, he may have trouble with social interactions, problem solving and learning from mistakes. Competencies are also studied in these conceptual thinking skills when implementing new concepts and using problem-solving skills in reasoning needs.

Soft skills, cognition, communication skills, creative thinking skills, lateral thinking, management skills, mental health, open-mindedness, and strong leadership skills are all able to be analyzed by conceptual reasoning for fellow team members or people in our society. Higher levels of reasoning can show examples of conceptual skills in some people, and these skills can be used as templates for teaching others and for stakeholders in some situations. Cover letters can also prove these needs as a real world example of its application.

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Abbey Baker is a writer and teacher at an alternative school in Burlington, Vt., where she specializes in working with students who have learning disabilities. Baker has a Master of Fine Arts in fiction writing and writes short stories. She recently had a short story published in "Eleven Eleven" journal.

A Structural Model Related to the Understanding of the Concept of Function: Definition and Problem Solving

  • Published: 13 February 2016
  • Volume 15 , pages 723–740, ( 2017 )

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conceptual problem solving definition

  • Areti Panaoura 1 ,
  • Paraskevi Michael-Chrysanthou 2 ,
  • Athanasios Gagatsis 2 ,
  • Iliada Elia 2 &
  • Andreas Philippou 2  

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This article focuses on exploring students’ understanding of the concept of function concerning three main aspects: secondary students’ ability to (1) define the concept of function and present examples of functions, (2) solve tasks which asked them to recognize and interpret the concept of function presented in different forms of representation, and (3) solve function problems. Confirmatory factor analysis verified 4 dimensions comprising the conceptual understanding of functions: definition, recognition, interpretation, and problem solving. Furthermore, the important role of the ability to define the concept on the rest abilities was revealed, leading to important didactic implications.

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The development of a function concept inventory, the function concept at the transition to upper secondary school level: tasks for a situation of change, comparison of students’ understanding of functions in classes following english and israeli national curricula.

Bentler, P. (1995). EQS structural equations program manual . Encico, CA: Multivariate Software, Inc.

Brown, J. (2009). Concept maps: Implications for the teaching of function for secondary school students. In R. Hunter, B. Bicknell, & T. Burgess (Eds.), Grossing divides: Proceedings of the 32 nd Annual Conferences of the Mathematics Education Research Group of Australia , (pp 65–72) Palmerston North, NZ: MERGA.

Cho, P. & Moore-Russo, D. (2014). How students come to understand the domain and range for the graphs of functions. In C. Nicol, P. Liljedahl, S. Oesterle & D. Allan (Eds.), Proceedings of the Joint Meeting of the International Group for the Psychology of Mathematics Education and the North American Chapter of the Psychology of Mathematics Education (Vol. 2, pp. 281–288). Vancouver, Canada: PME.

Cottrill, J., Dubinsky, E., Nichols, D., Schwingedorf, K., Thomas, K. & Vidakovic, D. (1996). Understanding the limit concept: Beginning with a coordinated process scheme. Journal of Mathematical Behavior, 15 , 167–192.

Deliyianni, E., Gagatsis, A., Elia, I. & Panaoura, A. (2015). Representational flexibility and problem-solving ability in fraction and decimal number addition: A structural model.  International Journal of Science and Mathematics Education . doi: 10.1007/s10763-015-9625-6

Doorman, M., Drijvers, P., Gravemeljer, K., Boon, P. & Reed, H. (2012). Tools use and the development of the function concept: From repeated calculations to functional thinking. International Journal of Science and Mathematics Education, 10 (6), 1243–1267.

Dufour - Janvier, B., Bednarz, N. & Belanger, M. (1987). Pedagogical considerations concerning the problem of representation. In C. Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 109–122). Hillsdale, NJ: Lawrence Erlbaum Associates Publishers.

Duval, R. (2002). The cognitive analysis of problems of comprehension in the learning of mathematics. Mediterranean Journal for Research in Mathematics Education, 1 (2), 1–16.

Edwards, B. & Ward, M. (2008). The role of mathematical definitions in mathematics and in undergraduate mathematics courses. In M. Carlson & C. Rasmussen (Eds.), Making the connection: Research and teaching in undergraduate mathematics education (pp. 223–232). Washington, DC: Mathematics Association of America.

Chapter   Google Scholar  

Elia, I. & Spyrou, P. (2006). How students conceive function: A triarchic conceptual-semiotic model of the understanding of a complex concept. The Montana Mathematics Enthusiast, 3 (2), 256–272.

Fischbein, E. (1978). Intuition and mathematical education. In E. Cohors-Fresenborg & I. Wachsmuth (Eds.), Proceedings of the 2 nd Annual Conference of the International Group for the Psychology of Mathematics Education (pp. 148-176). Osnabrück, Germany: PME.

Freudenthal, H. (1973). Mathematics as an educational task . Dordrecht, Netherlands: Kluwer Academic Press.

Gagatsis, A. & Shiakalli, M. (2004). Ability to translate from one representation of the concept of function to another and mathematical problem solving.  Educational Psychology, 24 (5), 645–657.

Janvier, C. (1987). Representation and understanding: The notion of function as an example. In C. Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 67–72). Hillsdale, NJ: Lawrence Erlbaum Associates.

Jayakody, G. & Sedaghatjou, M. (2014). How the shape of graph evokes different discourses: case of continuous functions. In Nicol, C., Liljedahl, P., Oesterle, S., & Allan, D. (Eds.),  Proceedings of the Joint Meeting of the International Group for the Psychology of Mathematics Education and the North American Chapter of the Psychology of Mathematics Education  (Vol. 2, pp. 323). Vancouver, Canada: PME.

Kieran, C. (1992). The learning and teaching of school algebra. In A. Grouws (Ed.), Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics (pp. 390–419). New York, NY: Macmillan Publishing Co.

Kilpartrick, J., Swafford, S. & Findell, B. (2001). Adding it up: Helping children learn mathematics . Washington, DC: National Academy Press.

Google Scholar  

Ko, C.A., Lu, F.L. & Tso, T.Y. (2013). Analysis of Taiwanese students’ conceptual structure of quadratic functions. In Lindmeier, A. M. & Heinze, A. (Eds.). Proceedings of the 37th conference of the international group for the psychology of mathematics education , Vol. 5, p. 86. Kiel, Germany: PME.

Lamon, S. (2001). Presenting and representing: From fractions to rational numbers. In A. Cuoco & F. Curcion (Eds.), The roles of representation in school mathematics (pp. 146–165). Reston, VA: NCTM.

Larsson, C. (2013). Experiencing molecular processes. The role of representations for students’ conceptual understanding. Studies in Science and Technology Education, 66 , 1–137.

Llinares, S. (2000). Secondary school mathematics teacher’s professional knowledge: a case from the teaching of the concept of function. Teachers and Teaching: Theory and Practice, 6 (1), 41–62.

Makonye, J. (2014). Teaching functions using a realistic mathematics education approach: a theoretical perspective. International Journal Educational Science, 7 (3), 653–662.

Mesa, V. (2004). Characterizing practices associated with functions in middle school textbooks: An empirical approach.  Educational Studies in Mathematics, 56 , 255–286.

Morgan, C. (2005). What is a definition in school mathematics? In M. Bosch (Ed.),  European Research in Mathematics Education IV: Proceedings of the 4 th   Congress of the European Society for Research in Mathematics Education (pp. 861-871). Saint Feliu de Guizols, Spain: CERME.

Morgan, C. (2013). Word, definitions and concepts in discourses of mathematics, teaching and learning. Language and Education, 19 (2), 102–116.

Mosvold, R. & Fauskanger, J. (2013). Teachers’ beliefs about mathematical knowledge for teaching definitions. International Electronic Journal of Mathematics Education, 8 (23), 43–59.

Okur, M. (2013). Learning difficulties experienced by students and their misconceptions of the inverse function concept. Educational Research and Reviews, 8 (12), 901–910.

Ouvrier-Buffet, C. (2010). An introduction to defining processes. Working group 12: Proceedings of 6 th Congress of the European Society for Research in Mathematics Education  (pp. 2346–2355). Lyon, France: CERME.

Rasslan, S. & Vinner, S. (1998). Images and definitions for the concept of increasing/decreasing function. In Proceedings of the 22nd Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 33-40). Stellenbosch, South Africa: PME.

Sajka, M. (2003). A secondary school students’ understanding of the concept of function—a case study. Educational Studies in Mathematics, 53 , 229-254.

Sanchez, V. & Llinares, S. (2003). Four student teachers’ pedagogical reasoning on functions. Journal of Mathematics Teacher Education, 6 , 5-25.

Sfard, A. (1992). Operational origins of mathematical objects and the quandary of reification. The case of function. In E. Dubinsky & G. Harel (Eds.), The concept of function. Aspects of epistemology and pedagogy (pp. 59–84). Washington: The Mathematical Association of America.

Sierpinska, A. (1992). On understanding the notion of function. In E. Dubinsky & G. Harel (Eds.), The concept of function. Aspects of epistemology and pedagogy (pp. 25–28). Washington, DC: The Mathematical Association of America.

Steele, M., Hillen, A. & Smith, M. (2013). Developing mathematical knowledge for teaching in a methods course: the case of function. Journal of Mathematics Teacher Education, 16 , 451–482.

Tall, D. (1988). Concept image and concept definition. In J. de Lange & M. Doorman (Eds.), Senior secondary mathematics education (pp. 37–41). Utrecht, Netherlands: OW & OC.

Tall, D. (1991). Advanced mathematical thinking . Dordrecht, Netherlands: Kluwer Academic Press.

Tall, S. & Vinner, S. (1981). Concept image and concept definition in mathematics with particular performance to limits and continuity. Educational Studies in Mathematics, 12 (2), 151–169.

Thomas, M. O. J. (2008). Developing versatility in mathematical thinking. Mediterranean Journal for Research in Mathematics Education, 7 (2), 67–87.

Thompson, A. G. (1992). Teachers’ beliefs and conceptions: A synthesis of the research. In D. A. Grouws (Ed.), Handbook of research on mathematics leaching and learning (pp. 127–146). New York, NY: Macmillan.

Tirosh, D. (1999). Finite and infinite sets: definitions and intuitions. International Journal Mathematics Education Science Technology, 30 (3), 341–349.

vanStreun, A., Harskamp, E. G. & Suhre, C. J. M. (2000). The effect of the graphic calculator on students’ solution approaches: a secondary analysis. Hiroshima Journal of Mathematics Education, 8 , 27–39.

Vergnaud, G. (1994). Multiplicative conceptual field: What and why? In G. Harel & J. Confrey (Eds.), The development of multiplicative reasoning in the learning of mathematics (pp. 41–59). Albany, NY: State University of New York Press.

Vinner, S. (1983). Concept definition, concept image and the notion of function. International Journal of Mathematical Education in Science and Technology, 14 , 293–305.

Vinner, S., & Dreyfus, T. (1989). Images and definitions for the concept of function.  Journal for Research in Mathematics Education, 20 (4), 356–366.

Vinner, S. & Hershkowitz, R. (1980). Concept images and some common cognitive paths in the development of some simple geometric concepts. In R. Karplus (Ed.), Proceedings of the 4 th International Conference of Psychology of Mathematics Education (pp. 177–184). Berkeley, CA: PME.

Yerushalmy, M. (1997). Designing representations: Reasoning about functions of two variables. Journal for Research in Mathematics Education, 27 (4), 431–466.

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Paraskevi Michael-Chrysanthou, Athanasios Gagatsis, Iliada Elia & Andreas Philippou

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Panaoura, A., Michael-Chrysanthou, P., Gagatsis, A. et al. A Structural Model Related to the Understanding of the Concept of Function: Definition and Problem Solving. Int J of Sci and Math Educ 15 , 723–740 (2017). https://doi.org/10.1007/s10763-016-9714-1

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Received : 15 July 2015

Accepted : 24 January 2016

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Issue Date : April 2017

DOI : https://doi.org/10.1007/s10763-016-9714-1

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What Is Creative Problem-Solving & Why Is It Important?

Business team using creative problem-solving

  • 01 Feb 2022

One of the biggest hindrances to innovation is complacency—it can be more comfortable to do what you know than venture into the unknown. Business leaders can overcome this barrier by mobilizing creative team members and providing space to innovate.

There are several tools you can use to encourage creativity in the workplace. Creative problem-solving is one of them, which facilitates the development of innovative solutions to difficult problems.

Here’s an overview of creative problem-solving and why it’s important in business.

Access your free e-book today.

What Is Creative Problem-Solving?

Research is necessary when solving a problem. But there are situations where a problem’s specific cause is difficult to pinpoint. This can occur when there’s not enough time to narrow down the problem’s source or there are differing opinions about its root cause.

In such cases, you can use creative problem-solving , which allows you to explore potential solutions regardless of whether a problem has been defined.

Creative problem-solving is less structured than other innovation processes and encourages exploring open-ended solutions. It also focuses on developing new perspectives and fostering creativity in the workplace . Its benefits include:

  • Finding creative solutions to complex problems : User research can insufficiently illustrate a situation’s complexity. While other innovation processes rely on this information, creative problem-solving can yield solutions without it.
  • Adapting to change : Business is constantly changing, and business leaders need to adapt. Creative problem-solving helps overcome unforeseen challenges and find solutions to unconventional problems.
  • Fueling innovation and growth : In addition to solutions, creative problem-solving can spark innovative ideas that drive company growth. These ideas can lead to new product lines, services, or a modified operations structure that improves efficiency.

Design Thinking and Innovation | Uncover creative solutions to your business problems | Learn More

Creative problem-solving is traditionally based on the following key principles :

1. Balance Divergent and Convergent Thinking

Creative problem-solving uses two primary tools to find solutions: divergence and convergence. Divergence generates ideas in response to a problem, while convergence narrows them down to a shortlist. It balances these two practices and turns ideas into concrete solutions.

2. Reframe Problems as Questions

By framing problems as questions, you shift from focusing on obstacles to solutions. This provides the freedom to brainstorm potential ideas.

3. Defer Judgment of Ideas

When brainstorming, it can be natural to reject or accept ideas right away. Yet, immediate judgments interfere with the idea generation process. Even ideas that seem implausible can turn into outstanding innovations upon further exploration and development.

4. Focus on "Yes, And" Instead of "No, But"

Using negative words like "no" discourages creative thinking. Instead, use positive language to build and maintain an environment that fosters the development of creative and innovative ideas.

Creative Problem-Solving and Design Thinking

Whereas creative problem-solving facilitates developing innovative ideas through a less structured workflow, design thinking takes a far more organized approach.

Design thinking is a human-centered, solutions-based process that fosters the ideation and development of solutions. In the online course Design Thinking and Innovation , Harvard Business School Dean Srikant Datar leverages a four-phase framework to explain design thinking.

The four stages are:

The four stages of design thinking: clarify, ideate, develop, and implement

  • Clarify: The clarification stage allows you to empathize with the user and identify problems. Observations and insights are informed by thorough research. Findings are then reframed as problem statements or questions.
  • Ideate: Ideation is the process of coming up with innovative ideas. The divergence of ideas involved with creative problem-solving is a major focus.
  • Develop: In the development stage, ideas evolve into experiments and tests. Ideas converge and are explored through prototyping and open critique.
  • Implement: Implementation involves continuing to test and experiment to refine the solution and encourage its adoption.

Creative problem-solving primarily operates in the ideate phase of design thinking but can be applied to others. This is because design thinking is an iterative process that moves between the stages as ideas are generated and pursued. This is normal and encouraged, as innovation requires exploring multiple ideas.

Creative Problem-Solving Tools

While there are many useful tools in the creative problem-solving process, here are three you should know:

Creating a Problem Story

One way to innovate is by creating a story about a problem to understand how it affects users and what solutions best fit their needs. Here are the steps you need to take to use this tool properly.

1. Identify a UDP

Create a problem story to identify the undesired phenomena (UDP). For example, consider a company that produces printers that overheat. In this case, the UDP is "our printers overheat."

2. Move Forward in Time

To move forward in time, ask: “Why is this a problem?” For example, minor damage could be one result of the machines overheating. In more extreme cases, printers may catch fire. Don't be afraid to create multiple problem stories if you think of more than one UDP.

3. Move Backward in Time

To move backward in time, ask: “What caused this UDP?” If you can't identify the root problem, think about what typically causes the UDP to occur. For the overheating printers, overuse could be a cause.

Following the three-step framework above helps illustrate a clear problem story:

  • The printer is overused.
  • The printer overheats.
  • The printer breaks down.

You can extend the problem story in either direction if you think of additional cause-and-effect relationships.

4. Break the Chains

By this point, you’ll have multiple UDP storylines. Take two that are similar and focus on breaking the chains connecting them. This can be accomplished through inversion or neutralization.

  • Inversion: Inversion changes the relationship between two UDPs so the cause is the same but the effect is the opposite. For example, if the UDP is "the more X happens, the more likely Y is to happen," inversion changes the equation to "the more X happens, the less likely Y is to happen." Using the printer example, inversion would consider: "What if the more a printer is used, the less likely it’s going to overheat?" Innovation requires an open mind. Just because a solution initially seems unlikely doesn't mean it can't be pursued further or spark additional ideas.
  • Neutralization: Neutralization completely eliminates the cause-and-effect relationship between X and Y. This changes the above equation to "the more or less X happens has no effect on Y." In the case of the printers, neutralization would rephrase the relationship to "the more or less a printer is used has no effect on whether it overheats."

Even if creating a problem story doesn't provide a solution, it can offer useful context to users’ problems and additional ideas to be explored. Given that divergence is one of the fundamental practices of creative problem-solving, it’s a good idea to incorporate it into each tool you use.

Brainstorming

Brainstorming is a tool that can be highly effective when guided by the iterative qualities of the design thinking process. It involves openly discussing and debating ideas and topics in a group setting. This facilitates idea generation and exploration as different team members consider the same concept from multiple perspectives.

Hosting brainstorming sessions can result in problems, such as groupthink or social loafing. To combat this, leverage a three-step brainstorming method involving divergence and convergence :

  • Have each group member come up with as many ideas as possible and write them down to ensure the brainstorming session is productive.
  • Continue the divergence of ideas by collectively sharing and exploring each idea as a group. The goal is to create a setting where new ideas are inspired by open discussion.
  • Begin the convergence of ideas by narrowing them down to a few explorable options. There’s no "right number of ideas." Don't be afraid to consider exploring all of them, as long as you have the resources to do so.

Alternate Worlds

The alternate worlds tool is an empathetic approach to creative problem-solving. It encourages you to consider how someone in another world would approach your situation.

For example, if you’re concerned that the printers you produce overheat and catch fire, consider how a different industry would approach the problem. How would an automotive expert solve it? How would a firefighter?

Be creative as you consider and research alternate worlds. The purpose is not to nail down a solution right away but to continue the ideation process through diverging and exploring ideas.

Which HBS Online Entrepreneurship and Innovation Course is Right for You? | Download Your Free Flowchart

Continue Developing Your Skills

Whether you’re an entrepreneur, marketer, or business leader, learning the ropes of design thinking can be an effective way to build your skills and foster creativity and innovation in any setting.

If you're ready to develop your design thinking and creative problem-solving skills, explore Design Thinking and Innovation , one of our online entrepreneurship and innovation courses. If you aren't sure which course is the right fit, download our free course flowchart to determine which best aligns with your goals.

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  1. (PDF) Theory of Problem Solving

    inconsistency" of the situation; the problem solving consists of the removal of the conflict and the finding. of the desired object. b) a disorder in the objective situation or in the structure of ...

  2. What Is Conceptual Thinking? (With Importance and Tips)

    Conceptual thinking is a skill that enables you to understand complex concepts and come up with solutions to problems. This skill is important to all employees in an organization as it can apply to improve their productivity. Conceptual thinking makes employees understand their work and appreciate their role in an organization.

  3. PDF Conceptual Understanding, Procedural Knowledge and Problem- Solving

    The National Assessment of Educational Progress‟s definition for mathematical abilities is conceptual understanding, procedural knowledge, and problem solving. Therefore, in this research, each participant will be ... it is apparent that some do not possess conceptual understanding or problem solving skills in the five content domains: number ...

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

    Quality Glossary Definition: Problem solving. Problem solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution. ... (Quality Management Journal) This paper contributes a conceptual framework for the generic process of ...

  5. What is Conceptual thinking? Unleashing Your Creative Potential

    The content emphasizes the importance of practicing problem-solving to enhance conceptual thinking skills. It likens problem-solving to a training ground where one can apply conceptual thinking techniques. Starting with simple puzzles and gradually moving to more complex challenges is compared to climbing a mountain, and each problem solved is ...

  6. PDF A Problem With Problem Solving: Teaching Thinking Without Teaching ...

    (1) the definition of a problem, (2) the definition of problem solving, (3) algorithms, (4) heuristics, (5) the relationship between theory and practice, (6) teaching creativity, (7) a knowledge base, and (8) the transfer or the application of conceptual knowledge. The Definition of a Problem The first element of the theory of problem solving

  7. A problem-solving conceptual framework and its implications in

    The links between the mathematical and cognitive models that interact during problem solving are explored with the purpose of developing a reference framework for designing problem-posing tasks. When the process of solving is a successful one, a solver successively changes his/her cognitive stances related to the problem via transformations that allow different levels of description of the ...

  8. Framing a Conceptual Problem

    Step 3: To continue to convince our readers that our conceptual problem is important, we must present the potential consequences if this problem is not resolved, or the rationale for why this problem matters. Example: If we don't further examine this conflict, our nation's educational system could be preparing a generation of students for ...

  9. Defining Conceptual Understanding in General Chemistry

    Definition includes both explanations and predictions as indicators of conceptual understanding. Problem Solving: Definition does not mention problem solving or using critical thinking to solve problems. Definition mentions that students solve problems but does not include a critical thinking component to the definition.

  10. Conceptual Problem Solving in Physics

    Operational Definition of Conceptual Problem Solving. We have broadly defined CPS above as a general approach for physics problem solving by which solvers integrate the selection of a principle/concept, its justification, and generate procedures for applying the principle/concept. The central thesis of the chapter is that teaching learners to ...

  11. How to master the seven-step problem-solving process

    When we do problem definition well in classic problem solving, we are demonstrating the kind of empathy, at the very beginning of our problem, that design thinking asks us to approach. When we ideate—and that's very similar to the disaggregation, prioritization, and work-planning steps—we do precisely the same thing, and often we use ...

  12. conceptual understanding of problem solving

    Conceptual Understanding of Problem Solving. Research Findings. Research at the secondary and even post-secondary level on understanding of basic concepts that are involved in solving biology, chemistry, and physics problems (many of which require the application of algebraic or other mathematical concepts) indicates that students do not ...

  13. Conceptual Knowledge, Procedural Knowledge, and Metacognition in

    When, how, and why students use conceptual knowledge during math problem solving is not well understood. We propose that when solving routine problems, students are more likely to recruit conceptual knowledge if their procedural knowledge is weak than if it is strong, and that in this context, metacognitive processes, specifically feelings of doubt, mediate interactions between procedural and ...

  14. Conceptual Model-Based Problem Solving

    The representation that models the underlying mathematical relations in the problem, that is, the conceptual model, facilitates solution planning and accurate problem solving. The conceptual model drives the development of a solution plan that involves selecting and applying appropriate arithmetic operations.

  15. Problem solving

    Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields. ... to our conceptual knowledge. Forensic engineering is an important technique of ...

  16. What Are Conceptual Skills?

    Problem Solving . Once an employee analyzes a situation and identifies a problem, they then have to decide how to solve that problem. People with conceptual skills are good at solving problems and making strong, swift decisions that will yield results.

  17. Conceptual & Procedural Math: What's the Difference?

    "Conceptual math" is shorthand for mathematics instruction that clearly explains the reasons why operations work as they do. It is often contrasted with "procedural math," which teaches students to solve problems by giving them a series of steps to do. Procedural math approaches an elementary problem such as two-digit subtraction (72 ...

  18. 21 st Century Skill "Problem Solving": Defining the Concept

    know the way to complete a task, the problem occurs. Problem-solving is a process, which. involves systematic observation and critical thinking to find an appropriate solution or way to. reach the ...

  19. Definition of Conceptual Reasoning

    General Definition. Conceptual reasoning means ways of critical thinking that include problem solving, analyzing, developing new ideas and reflecting on past and present experiences. People sometimes define this kind of reasoning as thinking outside the box. When we use conceptual reasoning, we are willing to see things in a different way and ...

  20. Conceptual thinking vs technical thinking on a project

    Conceptual thinking is important. It can help people to frame, understand and appreciate the big picture. It can communicate the current strategy or overarching philosophy of a project. It can provide a rough idea of what the solution might need to do or be. Does this type of thinking provide the technical blueprint for;-> solving a problem?

  21. A Structural Model Related to the Understanding of the ...

    Confirmatory factor analysis verified 4 dimensions comprising the conceptual understanding of functions: definition, recognition, interpretation, and problem solving. Furthermore, the important role of the ability to define the concept on the rest abilities was revealed, leading to important didactic implications.

  22. What Is Creative Problem-Solving & Why Is It Important?

    Creative problem-solving primarily operates in the ideate phase of design thinking but can be applied to others. This is because design thinking is an iterative process that moves between the stages as ideas are generated and pursued. This is normal and encouraged, as innovation requires exploring multiple ideas.

  23. PDF Conceptual Blocks in Management Theresa Strauch Siena Heights

    CONCEPTUAL BLOCKS 3 for problem solving. When kids encounter a new problem and they are able to find a way to solve it without being told what to do, they show maturity and development. Problems are not only a part of the job; they are a part of life. Within every organization there are problems.