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  • Problem Solving in STEM

Solving problems is a key component of many science, math, and engineering classes.  If a goal of a class is for students to emerge with the ability to solve new kinds of problems or to use new problem-solving techniques, then students need numerous opportunities to develop the skills necessary to approach and answer different types of problems.  Problem solving during section or class allows students to develop their confidence in these skills under your guidance, better preparing them to succeed on their homework and exams. This page offers advice about strategies for facilitating problem solving during class.

How do I decide which problems to cover in section or class?

In-class problem solving should reinforce the major concepts from the class and provide the opportunity for theoretical concepts to become more concrete. If students have a problem set for homework, then in-class problem solving should prepare students for the types of problems that they will see on their homework. You may wish to include some simpler problems both in the interest of time and to help students gain confidence, but it is ideal if the complexity of at least some of the in-class problems mirrors the level of difficulty of the homework. You may also want to ask your students ahead of time which skills or concepts they find confusing, and include some problems that are directly targeted to their concerns.

You have given your students a problem to solve in class. What are some strategies to work through it?

  • Try to give your students a chance to grapple with the problems as much as possible.  Offering them the chance to do the problem themselves allows them to learn from their mistakes in the presence of your expertise as their teacher. (If time is limited, they may not be able to get all the way through multi-step problems, in which case it can help to prioritize giving them a chance to tackle the most challenging steps.)
  • When you do want to teach by solving the problem yourself at the board, talk through the logic of how you choose to apply certain approaches to solve certain problems.  This way you can externalize the type of thinking you hope your students internalize when they solve similar problems themselves.
  • Start by setting up the problem on the board (e.g you might write down key variables and equations; draw a figure illustrating the question).  Ask students to start solving the problem, either independently or in small groups.  As they are working on the problem, walk around to hear what they are saying and see what they are writing down. If several students seem stuck, it might be a good to collect the whole class again to clarify any confusion.  After students have made progress, bring the everyone back together and have students guide you as to what to write on the board.
  • It can help to first ask students to work on the problem by themselves for a minute, and then get into small groups to work on the problem collaboratively.
  • If you have ample board space, have students work in small groups at the board while solving the problem.  That way you can monitor their progress by standing back and watching what they put up on the board.
  • If you have several problems you would like to have the students practice, but not enough time for everyone to do all of them, you can assign different groups of students to work on different – but related - problems.

When do you want students to work in groups to solve problems?

  • Don’t ask students to work in groups for straightforward problems that most students could solve independently in a short amount of time.
  • Do have students work in groups for thought-provoking problems, where students will benefit from meaningful collaboration.
  • Even in cases where you plan to have students work in groups, it can be useful to give students some time to work on their own before collaborating with others.  This ensures that every student engages with the problem and is ready to contribute to a discussion.

What are some benefits of having students work in groups?

  • Students bring different strengths, different knowledge, and different ideas for how to solve a problem; collaboration can help students work through problems that are more challenging than they might be able to tackle on their own.
  • In working in a group, students might consider multiple ways to approach a problem, thus enriching their repertoire of strategies.
  • Students who think they understand the material will gain a deeper understanding by explaining concepts to their peers.

What are some strategies for helping students to form groups?  

  • Instruct students to work with the person (or people) sitting next to them.
  • Count off.  (e.g. 1, 2, 3, 4; all the 1’s find each other and form a group, etc)
  • Hand out playing cards; students need to find the person with the same number card. (There are many variants to this.  For example, you can print pictures of images that go together [rain and umbrella]; each person gets a card and needs to find their partner[s].)
  • Based on what you know about the students, assign groups in advance. List the groups on the board.
  • Note: Always have students take the time to introduce themselves to each other in a new group.

What should you do while your students are working on problems?

  • Walk around and talk to students. Observing their work gives you a sense of what people understand and what they are struggling with. Answer students’ questions, and ask them questions that lead in a productive direction if they are stuck.
  • If you discover that many people have the same question—or that someone has a misunderstanding that others might have—you might stop everyone and discuss a key idea with the entire class.

After students work on a problem during class, what are strategies to have them share their answers and their thinking?

  • Ask for volunteers to share answers. Depending on the nature of the problem, student might provide answers verbally or by writing on the board. As a variant, for questions where a variety of answers are relevant, ask for at least three volunteers before anyone shares their ideas.
  • Use online polling software for students to respond to a multiple-choice question anonymously.
  • If students are working in groups, assign reporters ahead of time. For example, the person with the next birthday could be responsible for sharing their group’s work with the class.
  • Cold call. To reduce student anxiety about cold calling, it can help to identify students who seem to have the correct answer as you were walking around the class and checking in on their progress solving the assigned problem. You may even want to warn the student ahead of time: "This is a great answer! Do you mind if I call on you when we come back together as a class?"
  • Have students write an answer on a notecard that they turn in to you.  If your goal is to understand whether students in general solved a problem correctly, the notecards could be submitted anonymously; if you wish to assess individual students’ work, you would want to ask students to put their names on their notecard.  
  • Use a jigsaw strategy, where you rearrange groups such that each new group is comprised of people who came from different initial groups and had solved different problems.  Students now are responsible for teaching the other students in their new group how to solve their problem.
  • Have a representative from each group explain their problem to the class.
  • Have a representative from each group draw or write the answer on the board.

What happens if a student gives a wrong answer?

  • Ask for their reasoning so that you can understand where they went wrong.
  • Ask if anyone else has other ideas. You can also ask this sometimes when an answer is right.
  • Cultivate an environment where it’s okay to be wrong. Emphasize that you are all learning together, and that you learn through making mistakes.
  • Do make sure that you clarify what the correct answer is before moving on.
  • Once the correct answer is given, go through some answer-checking techniques that can distinguish between correct and incorrect answers. This can help prepare students to verify their future work.

How can you make your classroom inclusive?

  • The goal is that everyone is thinking, talking, and sharing their ideas, and that everyone feels valued and respected. Use a variety of teaching strategies (independent work and group work; allow students to talk to each other before they talk to the class). Create an environment where it is normal to struggle and make mistakes.
  • See Kimberly Tanner’s article on strategies to promoste student engagement and cultivate classroom equity. 

A few final notes…

  • Make sure that you have worked all of the problems and also thought about alternative approaches to solving them.
  • Board work matters. You should have a plan beforehand of what you will write on the board, where, when, what needs to be added, and what can be erased when. If students are going to write their answers on the board, you need to also have a plan for making sure that everyone gets to the correct answer. Students will copy what is on the board and use it as their notes for later study, so correct and logical information must be written there.

For more information...

Tipsheet: Problem Solving in STEM Sections

Tanner, K. D. (2013). Structure matters: twenty-one teaching strategies to promote student engagement and cultivate classroom equity . CBE-Life Sciences Education, 12(3), 322-331.

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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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Creativity & problem-solving.

The Laboratory for Innovation Science at Harvard (LISH) is conducting research and creating evidence-based approaches to problem-solving. Researchers at LISH are identifying the best way to approach a problem, starting with problem formulation, and experimenting with solvers on the best way to find solutions.

Key Questions

Question

How does the nature of the problem to be solved impact the most optimal problem-solving approaches to be used?

How can problems be best formulated so that outsiders can help solve them, how does diversity in knowledge and skills impact problem-solving, can creativity be enhanced through teams and/or exposure to peers, these four research questions frame projects in this track, pushing the boundaries of medical imaging and computational biology through artificial intelligence and algorithm development, extensive crowdsourcing work with nasa and other federal agencies, and using data science to help create a history of the partition of british india. see below for more information on each of the individual projects in this research track., nasa tournament lab.

The NASA Tournament Lab was originally established in 2010 as a joint initiative between NASA’s Center of Excellence for Collaborative Innovation (CoECI), Harvard Business School, and the Institute for Quantitative Social Science, to design and field challenges and contests... Read more about NASA Tournament Lab

Computational Biology Algorithms

Drivers of medical imaging diagnoses, integrating crowds into academic labs, advanced analytics challenges.

With the digital transformation in business and academia, the demand for advanced data analytics is increasing. LISH partners with foundations, government agencies, and research labs to access data analytics solutions through the crowd.... Read more about Advanced Analytics Challenges

Crowdsourcing for Social Good

Crowdsourcing memories from the 1947 partition of british india.

Working with the Lakshmi Mittal and Family South Asia Institute at Harvard University, this project aims to collect and analyze oral histories and memories of the 1947 Partition of British India with a focus on minority voices. Aspects of this project include gathering discrete historical data such as locations and descriptions of refugee camps; mapping geographical locations... Read more about Crowdsourcing Memories from the 1947 Partition of British India

Developing a Process to Foster Co-creation by Patients and Caretakers and our Research Communities

A joint project with Harvard Catalyst — Reactor , this initiative aims to pair patient- and caregiver-derived solutions with research labs at Boston-area medical schools to develop innovative tools to benefit the patients, their disease communities, and others with similar needs.... Read more about Developing a Process to Foster Co-creation by Patients and Caretakers and our Research Communities

City Challenges

LISH researchers are designing experiments wrapped around NYU GovLab’s City Challenges. The City Challenges program aims to use competitions and coaching to solve urban problems. See here for information on a prior challenge.

Related Publications

Free and Open Source Software (FOSS) has become a critical part of the modern economy. There are tens of millions of FOSS projects, many of which are built into software and products we use every day. However, it is difficult to fully understand the health, economic value, and security of FOSS because it is produced in a decentralized and distributed manner. This distributed development approach makes it unclear how much FOSS, and precisely what FOSS projects, are most widely used. This lack of understanding is a critical problem faced by those who want to help enhance the security of FOSS (e.g., companies, governments, individuals), yet do not know what projects to start with. This problem has garnered widespread attention with the Heartbleed and log4shell vulnerabilities that resulted in the susceptibility of hundreds of millions of devices to exploitation.

This report, Census II, is the second investigation into the widespread use of FOSS and aggregates data from over half a million observations of FOSS libraries used in production applications at thousands of companies, which aims to shed light on the most commonly used FOSS packages at the application library level. This effort builds on the Census I report that focused on the lower level critical operating system libraries and utilities, improving our understanding of the FOSS packages that software applications rely on. Such insights will help to identify critical FOSS packages to allow for resource prioritization to address security issues in this widely used software.

The Census II effort utilizes data from partner Software Composition Analysis (SCA) companies including Snyk, the Synopsys Cybersecurity Research Center (CyRC), and FOSSA, which partnered with Harvard to advance the state of open source research. Our goal is to not only identify the most widely used FOSS, but to also provide an example of how the distributed nature of FOSS requires a multi-party effort to fully understand the value and security of the FOSS ecosystem. Only through data-sharing, coordination, and investment will the value of this critical component of the digital economy be preserved for generations to come.

In addition to the detailed results on FOSS usage provided in the report, we identified five high-level findings: 1) the need for a standardized naming schema for software components, 2) the complexities associated with package versions, 3) much of the most widely used FOSS is developed by only a handful of contributors, 4) the increasing importance of individual developer account security, and 5) the persistence of legacy software in the open source space.

Karim R. Lakhani, Anne-Laure Fayard, Manos Gkeredakis, and Jin Hyun Paik . 10/5/2020. “ OpenIDEO (B) ”. Publisher's Version Abstract In the midst of 2020, as the coronavirus pandemic was unfolding, OpenIDEO - an online open innovation platform focused on design-driven solutions to social issues - rapidly launched a new challenge to improve access to health information, empower communities to stay safe during the COVID-19 crisis, and inspire global leaders to communicate effectively. OpenIDEO was particularly suited to challenges which required cross-system or sector-wide collaboration due to its focus on social impact and ecosystem design, but its leadership pondered how they could continue to improve virtual collaboration and to share their insights from nearly a decade of running online challenges. Conceived as an exercise of disruptive digital innovation, OpenIDEO successfully created a strong open innovation community, but how could they sustain - or even improve - their support to community members and increase the social impact of their online challenges in the coming years?

This paper presents NASA’s experience using a Center of Excellence (CoE) to scale and sustain an open innovation program as an effective problem-solving tool and includes strategic management recommendations for other organizations based on lessons learned.

This paper defines four phases of implementing an open innovation program: Learn, Pilot, Scale and Sustain. It provides guidance on the time required for each phase and recommendations for how to utilize a CoE to succeed. Recommendations are based upon the experience of NASA’s Human Health and Performance Directorate, and experience at the Laboratory for Innovation Science at Harvard running hundreds of challenges with research and development organizations.

Lessons learned include the importance of grounding innovation initiatives in the business strategy, assessing the portfolio of work to select problems most amenable to solving via crowdsourcing methodology, framing problems that external parties can solve, thinking strategically about early wins, selecting the right platforms, developing criteria for evaluation, and advancing a culture of innovation. Establishing a CoE provides an effective infrastructure to address both technical and cultural issues.

The NASA experience spanned more than seven years from initial learnings about open innovation concepts to the successful scaling and sustaining of an open innovation program; this paper provides recommendations on how to decrease this timeline to three years.

Tomohiro Ishibashi (Bashi), chief executive officer for B to S, and Julia Foote LeStage, chief innovation officer of Weathernews Inc., were addressing a panel at the HBS Digital Summit on creative uses of big data. They told the summit attendees about how the Sakura (cherry blossoms) Project, where the company asked users in Japan to report about how cherry blossoms were blooming near them day by day, had opened up opportunities for the company's consumer business in Japan. The project ultimately garnered positive publicity and became a foothold to building the company's crowdsourcing weather-forecasting service in Japan. It changed the face of weather forecasting in Japan. Bashi and LeStage wondered whether the experience could be applied to the U.S. market.

BACKGROUND: The association of differing genotypes with disease-related phenotypic traits offers great potential to both help identify new therapeutic targets and support stratification of patients who would gain the greatest benefit from specific drug classes. Development of low-cost genotyping and sequencing has made collecting large-scale genotyping data routine in population and therapeutic intervention studies. In addition, a range of new technologies is being used to capture numerous new and complex phenotypic descriptors. As a result, genotype and phenotype datasets have grown exponentially. Genome-wide association studies associate genotypes and phenotypes using methods such as logistic regression. As existing tools for association analysis limit the efficiency by which value can be extracted from increasing volumes of data, there is a pressing need for new software tools that can accelerate association analyses on large genotype-phenotype datasets.

RESULTS: Using open innovation (OI) and contest-based crowdsourcing, the logistic regression analysis in a leading, community-standard genetics software package (PLINK 1.07) was substantially accelerated. OI allowed us to do this in <6 months by providing rapid access to highly skilled programmers with specialized, difficult-to-find skill sets. Through a crowd-based contest a combination of computational, numeric, and algorithmic approaches was identified that accelerated the logistic regression in PLINK 1.07 by 18- to 45-fold. Combining contest-derived logistic regression code with coarse-grained parallelization, multithreading, and associated changes to data initialization code further developed through distributed innovation, we achieved an end-to-end speedup of 591-fold for a data set size of 6678 subjects by 645 863 variants, compared to PLINK 1.07's logistic regression. This represents a reduction in run time from 4.8 hours to 29 seconds. Accelerated logistic regression code developed in this project has been incorporated into the PLINK2 project.

CONCLUSIONS: Using iterative competition-based OI, we have developed a new, faster implementation of logistic regression for genome-wide association studies analysis. We present lessons learned and recommendations on running a successful OI process for bioinformatics.

Most United States Patent and Trademark Office (USPTO) patent documents contain drawing pages which describe inventions graphically. By convention and by rule, these drawings contain figures and parts that are annotated with numbered labels but not with text. As a result, readers must scan the document to find the description of a given part label. To make progress toward automatic creation of ‘tool-tips’ and hyperlinks from part labels to their associated descriptions, the USPTO hosted a monthlong online competition in which participants developed algorithms to detect figures and diagram part labels. The challenge drew 232 teams of two, of which 70 teams (30 %) submitted solutions. An unusual feature was that each patent was represented by a 300-dpi page scan along with an HTML file containing patent text, allowing integration of text processing and graphics recognition in participant algorithms. The design and performance of the top-5 systems are presented along with a system developed after the competition, illustrating that the winning teams produced near state-of-the-art results under strict time and computation constraints. The first place system used the provided HTML text, obtaining a harmonic mean of recall and precision (F-measure) of 88.57 % for figure region detection, 78.81 % for figure regions with correctly recognized figure titles, and 70.98 % for part label detection and recognition. Data and source code for the top-5 systems are available through the online UCI Machine Learning Repository to support follow-on work by others in the document recognition community.

Design Thinking and Innovation

Design Thinking and Innovation from Harvard Business School (HBS) Online will teach you how to leverage fundamental design thinking principles and innovative problem-solving tools to address business challenges.

Clarify, Ideate, Develop, and Implement

Associated Schools

Harvard Business School

Harvard Business School

What you'll learn.

Break cognitive fixedness and approach problems with a new mindset that integrates creative problem-solving and management

Develop an innovation toolkit, and determine when to apply design thinking frameworks, tools, and exercises to your own strategic initiatives

Practice empathy and apply human-centered design through techniques such as ideation, prototyping, user journey mapping, and analyzing mental models

Assess group dynamics and maximize your team’s potential for developing and iterating prototypes and managing the implementation of new designs

Understand how leaders can create the optimal environment and team dynamics to guide innovation and collaboration

Put design thinking into action by collaborating with peers from a wide range of professional experiences and backgrounds

Course description

Design Thinking and Innovation, through Harvard Business School (HBS) Online, equips current and aspiring innovation managers with the design thinking principles and innovative problem-solving tools to solve business challenges and guide their organization’s strategy. The course features five weeks of course content and two weeks of cohort project work, enabling the opportunity to put learning into practice. Leaders interviewed include Moderna CEO Stéphane Bancel, Royal Philips CEO Frans van Houten, and T-Mobile CEO Mike Sievert, among others. Participants will walk away with an innovation toolkit of frameworks and exercises for identifying business opportunities and generating possible solutions for their organization’s initiatives.

Instructors

Srikant Datar

Srikant Datar

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To Improve Critical Thinking, Don’t Fall into the Urgency Trap

problem solving techniques harvard

Too often at work, people rely on expertise and past experiences to jump to a conclusion. Yet research consistently shows that when we rush decisions, we often regret them—even if they end up being correct. [i]

Why we hasten decision making is quite clear. We’re inundated with incessant distractions that compete for our attention, and, at the same time, we’re facing profound pressure to go faster and drive our businesses forward, even when the path ahead is unclear.

In the aftermath of information overwhelm, evolving technology, and rapidly changing business environments, people often unconsciously fall into a pernicious paradox called the “urgency trap.”

The Urgency Trap

The urgency trap, which can be defined as the habitual, unbridled, and counterproductive tendencies to rush through decision making when under the pressure of too many demands, is a paradox because it limits the very thing that could help us be more innovative, efficient, and effective: Our critical thinking.

The ability to analyze and effectively break down an issue to make a decision or solve a problem in novel ways is sorely lacking in today’s workforce, with most employers reporting that their employees’ critical thinking skills are average at best. [ii]

The good news? Critical thinking is a teachable skill, and one that any person can learn to make time for when making decisions. To improve and devote time for critical thinking at work, consider the following best practices.

1. Question assumptions and biases

Consider this common scenario: A team is discussing a decision that they must make quickly. The team’s options—and the arguments for and against them—have been assembled, but no clear evidence supports a particular course of action. Under pressure to move fast, the team relies on their expertise and past experiences to rapidly provide a solution. Yet, in the months following their decision, the issues that prompted the original discussion persist, and the team wonders why.

The issue here may be that the team failed to question their own assumptions and biases. Indeed, when we view situations solely based on our own personal experiences and beliefs, we limit our options and provide solutions that are often short-sighted or superficial. [iii] To improve critical thinking skills, we must step back and ask ourselves,

  • “Am I seeking out information that confirms my pre-conceived idea?”
  • “Am I perceiving a past experience as more predictable than it actually was?”
  • “Am I overemphasizing information that comes to mind quickly, instead of calculating other probabilities?”

2. Reason through logic

When presented with an argument, it is important to analyze it logically in order to determine whether or not it is valid. This means looking at the evidence that is being used to support the argument and determining whether or not it actually does support the conclusion that is being drawn.

Additionally, consider the source of the information. Is it credible? Trustworthy? Finally, be aware of common logical fallacies people tend to use when trying to speed up decision making, such as false dilemma (erroneously limiting available options) and hasty generalizations (making a claim based on a few examples rather than substantial proof).

3. Listen actively and openly

When we’re in a rush to make a decision, we often focus more on how we want to respond rather than what the speaker is saying. Active listening, on the other hand, is a critical thinking skill that involves paying close attention to what someone else is saying with the intent to learn, and then asking questions to clarify and deepen understanding.

When engaging in active listening, it’s important to avoid interrupting and instead allow the other person to fully express their thoughts. Additionally, resist the urge to judge or criticize what the other person is saying. Rather, focus on truly understanding their perspective. This may mean practicing open-mindedness by considering new ideas, even if they challenge existing beliefs. By keeping an open mind, this ensures that all sides of an issue are considered before coming to a conclusion.

4. Ask better questions

In an article for Harvard Business Review, John Coleman, author of the HBR Guide to Crafting Your Purpose , writes, “At the heart of critical thinking is the ability to formulate deep, different, and effective questions.” [iv]

To ask better questions, first consider the audience for the question (who is hearing the question and who might respond?) and the purpose (what is the goal of asking this question?). Then, approach queries with rigor and curiosity by asking questions that:

  • Are open-ended yet short and direct (e.g., “How might you help me think about this differently?”)
  • Challenge a group’s conventional thinking (e.g., “What if we tried a new approach?”)
  • Help others reconsider their first principles or hypotheses (e.g., “As we look at the data, how might we reconsider our initial proposed solution?”)
  • Encourage further discussion and analysis (e.g., “How can we deepen our understanding of this issue?”)
  • Thoughtfully follow up on the solution (e.g., “How do we feel about the progress so far?”)

5. Create space for deliberation

The recommendations outlined thus far are behaviors and capabilities people can use in the moment, but sometimes, the best solutions are formulated after consideration. In fact, research shows that a deliberate process often leads to better conclusions. [v] And sleep has even been proven to help the brain assimilate a problem and see it more clearly. [vi]

When issues are complex, it’s important to find ways to resist unnecessary urgency. Start by mapping out a process that allows several days or longer to sit with a problem. Then, create space in the day to formulate in quiet reflection, whether that’s replacing your first thirty minutes in the morning with thinking instead of checking email, or going on a walk midday, or simply journaling for a few moments before bed.

Critical Thinking Cannot Be Overlooked

In the face of rapidly-evolving business environments, the ability to make smart decisions quickly is one of a company’s greatest assets—but to move fast, people must first slow down to reason through pressing issues, ask thoughtful questions, and evaluate a topic from multiple angles.

To learn more about how organizations can enhance their critical thinking and decision-making skills, download the full paper: Who Is Really Making the Decisions in Your Organization — and How?

[i] Grant Halvorson, Heidi, “Quick Decisions Create Regret, Even When They Are Good Decisions,” Fast Company. https://www.fastcompany.com/1758386/quick-decisions-create-regret-even-when-they-are-good-decisions .

[ii] Plummer, Matt, “A Short Guide to Building Your Team’s Critical Thinking Skills,” Harvard Business Review, October 2019. https://hbr.org/2019/10/a-short-guide-to-building-your-teams-critical-thinking-skills .

[iii] Benjamin Enke, Uri Gneezy, Brian Hall, David Martin, Vadim Nelidov, Theo Offerman, and Jeroen van de Ve, “Cognitive Biases: Mistakes or Missing Stakes?” Harvard Business School, 2021. https://www.hbs.edu/ris/Publication%20Files/21-102_1ed838f2-8ef3-4eec-b543-d00eb1efbe10.pdf

[iv] Coleman, John, “Critical Thinking Is About Asking Better Questions,” Harvard Business Review, April 2022. https://hbr.org/2022/04/critical-thinking-is-about-asking-better-questions .

[v] Markovitz, Daniel, “How to Avoid Rushing to Solutions When Problem-Solving,” Harvard Business Review, November 2020. https://hbr.org/2020/11/how-to-avoid-rushing-to-solutions-when-problem-solving .

[vi] Miller, Jared, “Does ‘Sleeping On It’ Really Work?” WebMD. https://www.webmd.com/sleep-disorders/features/does-sleeping-on-it-really-work .

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Creative Thinking: Innovative Solutions to Complex Challenges

Learn how to grow a culture of creativity to innovate competitive solutions.

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October 8, 2024

Overview: Creative Thinking Skills Course

The tech breakthrough that makes smartphones irrelevant, a new viral ad campaign, your company’s next big revenue generator — ideas like these could be sitting in your brain; all you need are the creative thinking skills and strategies to pull them out.

This interactive program focuses explicitly on the creative thinking skills you need to solve complex problems and design innovative solutions. Learn how to transform your thinking from the standard “why can’t we” to the powerful “how might we.” Crack the code on how to consistently leverage your team’s creative potential in order to drive innovation within your organization. Explore how to build a climate for innovation, remove barriers to creativity, cultivate courage, and create more agile, proactive, and inspired teams.

You will leave this program with new ideas about how to think more productively and how to introduce creative thinking skills into your organization. You can apply key takeaways immediately to implement a new leadership vision, inspire renewed enthusiasm, and enjoy the skills and tools to tackle challenges and seize opportunities.

Innovation experts Anne Manning and Susan Robertson bring to this highly-interactive and powerful program their decades of experience promoting corporate innovation, teaching the art of creative problem solving, and applying the principles of brain science to solve complex challenges.

Who Should Take Creative Thinking Skills Training?

This program is ideal for leaders with at least 3 years of management experience. It is designed for leaders who want to develop new strategies, frameworks, and tools for creative problem solving. Whether you are a team lead, project manager, sales director, or executive, you’ll learn powerful tools to lead your team and your organization to create innovative solutions to complex challenges.

All participants will earn a Certificate of Participation from the Harvard Division of Continuing Education.

Benefits of Creative Thinking Skills Training

The goal of this creative thinking program is to help you develop the strategic concepts and tactical skills to lead creative problem solving for your team and your organization. You will learn to:

  • Retrain your brain to avoid negative cognitive biases and long-held beliefs and myths that sabotage creative problem solving and innovation
  • Become a more nimble, proactive, and inspired thinker and leader
  • Create the type of organizational culture that supports collaboration and nurtures rather than kills ideas
  • Gain a practical toolkit for solving the “unsolvable” by incorporating creative thinking into day-to-day processes
  • Understand cognitive preferences (yours and others’) to adapt the creative thinking process and drive your team’s success
  • Develop techniques that promote effective brainstorming and enable you to reframe problems in a way that inspires innovative solutions

The curriculum in this highly interactive program utilizes research-based methodologies and techniques to build creative thinking skills and stimulate creative problem solving.

Through intensive group discussions and small-group exercises, you will focus on topics such as:

  • The Creative Problem Solving process: a researched, learnable, repeatable process for uncovering new and useful ideas. This process includes a “how to” on clarifying, ideating, developing, and implementing new solutions to intractable problems
  • The cognitive preferences that drive how we approach problems, and how to leverage those cognitive preferences for individual and team success
  • How to develop—and implement— a methodology that overcomes barriers to innovative thinking and fosters the generation of new ideas, strategies, and techniques
  • The role of language, including asking the right questions, in reframing problems, challenging assumptions, and driving successful creative problem solving
  • Fostering a culture that values, nurtures, and rewards creative solutions

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For best solutions, intermittent collaboration provides the right formula

More than a decade after the introduction of the first smartphone, we are awash in always-on technologies — email, instant messaging, social media, Slack, Yammer, and so on. All that connectivity means we are constantly sharing ideas, knowledge, thinking, and answers. Surely that “wisdom of the crowd” is good for problem-solving at work, right?

Not so fast. New research by Harvard Business School (HBS) Associate Professor Ethan Bernstein and colleagues, published in Proceedings of the National Academy of Sciences (PNAS) on Aug. 13, suggests that “always on” may not always be effective. Instead, “intermittently on” might be better for complex problem-solving.

Bernstein, Assistant Professor Jesse Shore of the Questrom School of Business at Boston University, and Professor David Lazer of Northeastern University put together and studied a number of three-person groups performing a complex problem-solving task. The members of one set of groups never interacted with each other, solving the problem in complete isolation; members of another set constantly interacted, as we do when equipped with always-on technologies; and members of the third set of groups interacted only intermittently.

From prior research, the researchers anticipated that the groups whose members never interacted would be the most creative, coming up with the largest number of unique solutions — including some of the best and some of the worst — and a high level of variation that sprang from their working alone. In short, they expected the isolated individuals to produce a few fantastic solutions but, as a group, a low average quality of solution due to the variation. That proved to be the case.

The researchers also anticipated that the groups whose members constantly interacted would produce a higher average quality of solution, but fail to find the very best solutions as often. In other words, they expected the constantly interacting groups’ solutions to be less variable but at the cost of being more mediocre. That proved to be the case as well.

But here’s where the researchers found something completely new: Groups whose members interacted only intermittently preserved the best of both worlds, rather than succumbing to the worst. These groups had an average quality of solution that was nearly identical to those groups that interacted constantly, yet they preserved enough variation to find some of the best solutions, too.

Perhaps the most interesting result was that when their interactions were intermittent, the higher performers were able to get even better by learning from the low performers. When high and low performers interacted constantly, the low performers tended to simply copy high performers’ solutions and were in turn generally ignored by the high performers. But when their interactions were intermittent, the low performers’ ideas helped the high performers achieve even better solutions.

Bernstein and his co-authors see a number of workplace implications for these findings, including the advantages of alternating independent efforts with group work over a period of time. In some ways, that’s how work traditionally has been done in organizations — with individuals working alone, then coming together in a meeting, then returning to work alone. But advancing technology has changed those cycles.

“As we replace those sorts of intermittent cycles with always-on technologies, we might be diminishing our capacity to solve problems well,” Bernstein notes.

The researchers see parallels in a number of trends in organizations today. Agile approaches to teamwork have some of this intermittent characteristic, given that they are organized into “sprints,” gatherings of people that focus on a particular problem and last only a short time. Similarly, hackathons are increasingly designed to provide some intermittency of interaction.

Organizations known for their excellence in creativity and brainstorming ideas, such as IDEO, often use a process that has intermittency built in. Even open offices, a concept about which Bernstein has recently completed research, often have both group spaces (booths, meeting rooms) and individual spaces (phone booths, pods) in which interaction can be paused for a period of time.

Given the study’s findings, the researchers conclude that these design-based tools for intermittent rather than constant interaction may be even more important for organizational productivity and performance than previously thought. They warn that the march toward always-on technology — and more and more digital collaboration tools — should not disturb intermittent isolation, lest it keep groups from achieving their best collective solutions to complex problems.

This research was supported by Office of Naval Research Grant G00005072 and funding from the Harvard Business School Division of Research and Faculty Development.

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Principals and Problem-Solving

  • Posted November 13, 2014
  • By Bari Walsh

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If you’re a school principal, how does context matter when you’re facing a difficult problem? Where do you find your source of support, and do the people you turn to actually help you to reach effective solutions? Ebony Bridwell-Mitchell explores these questions in a paper published in Organization Science with co-author Theresa Lant, finding that the type of people principals surround themselves with, and to whom they turn for counsel, has a lot to do with how they think about their role and their challenges in the first place. This “cognitive context,” she found, helps determine their social context and is predictive of how they’ll go about solving problems or advancing their agenda.

Bridwell-Mitchell studies educational leadership, management, and organizations, often exploring the tension between structure and agency — “how we make choices within constraints,” as she describes it. “A lot of education policy is focused on what we can do to get people to make better choices — how we can spur them to be more gritty, or how we can incentivize them. But all the choices people make — even if they’re properly incentivized, even if they’re extra gritty — are constrained in some way by context. It turns out that when you look at differences across individuals, what best explains the variation is context. People in one context tend to think and do things a certain way, and very differently than people in another context.”

How Context Matters

In the recent paper, she set out to explore just how context matters when school principals are faced with decisions. She wanted to understand not only how principals’ social networks mattered, but also how cognitive context mattered — how they thought about or framed their problems.

She investigated two different ways in which principals might frame a pressing problem: as political, having to do with influence or power, or as strategic, having to do with performance and resources. She wanted to see whether that framing had an effect on the kinds of people they chose to go to for help.

She found that when people frame their problems politically, they are more likely to turn to advisors they think are trustworthy and have influence. But when they frame problems as being strategic, they are more likely to turn to people they think are accessible and have resources.

The Takeaway

What does all this mean in terms of helping principals solve problems? “If people have persistent patterns in how they see problems, then they have a tendency to choose certain kinds of people, irrespective of whether that’s what the problem actually is or those are the people they actually need,” says Bridwell-Mitchell. “You can imagine that people might be thinking about the problem in the wrong way and choosing the wrong people and not ending up with the solutions they need.”

“It really gives us an incentive to invest in what people often call shared decision making or shared leadership,” she continues. “What this is saying is, you need people to help you think carefully about these problems, so you can make sure you’re conceptualizing them in ways that will get you to the right people for help.”

Bridwell-Mitchell is doing a follow-up study to assess which cognitive contexts and social contexts may be more effective at solving which types of problems. She’s asking groups of principals to work through the issues involved in two randomly assigned scenarios, one about bullying and one about increasing achievement in middle-performing students, and then to come up with a solution. A set of experts — other principals and field experts — will assess and rate the solutions. The goal is to shed light on which factors were more helpful in arriving at effective solutions — cognitive framing, social context, or a combination of the two.

The bottom line is that context matters — perhaps more than any other factor — in effective leadership, says Bridwell-Mitchell. “If we’re not thinking about how much context matters, and how to change context, we’re losing most of the leverage that we have to actually get people to behave differently.”

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Harvard Business Review Digital Article

The Art of Asking Smarter Questions

By: Arnaud Chevallier, Frédéric Dalsace, Jean-Louis Barsoux

With organizations of all sorts facing increased urgency and unpredictability, being able to ask smart questions has become key. But unlike lawyers, doctors, and psychologists, business professionals…

  • Length: 3528 word count
  • Publication Date: May 1, 2024
  • Discipline: Organizational Behavior
  • Product #: R2403C-PDF-ENG

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These five techniques can drive great strategic decision-making.

May 1, 2024

Discipline:

Organizational Behavior

Harvard Business Review Digital Article

R2403C-PDF-ENG

3528 word count

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problem solving techniques harvard

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Better Brainstorming

  • Hal Gregersen

problem solving techniques harvard

Great innovators have long known that the secret to unlocking a better answer is to ask a better question. Applying that insight to brainstorming exercises can vastly improve the search for new ideas—especially when a team is feeling stuck. Brainstorming for questions, rather than answers, helps you avoid group dynamics that often stifle voices, and it lets you reframe problems in ways that spur breakthrough thinking.

After testing this approach with hundreds of organizations, MIT’s Hal Gregersen has developed it into a methodology: Start by selecting a problem that matters. Invite a small group to help you consider it, and in just two minutes describe it at a high level so that you don’t constrain the group’s thinking. Make it clear that people can contribute only questions and that no preambles or justifications are allowed. Then, set the clock for four minutes, and generate as many questions as you can in that time, aiming to produce at least 15. Afterward, study the questions generated, looking for those that challenge your assumptions and provide new angles on your problem. If you commit to actively pursuing at least one of these, chances are, you’ll break open a new pathway to unexpected solutions.

Focus on questions, not answers, for breakthrough insights.

The Problem

Great innovators have always known that the key to unlocking a better answer is to ask a better question—one that challenges deeply held assumptions. Yet most people don’t do that, even when brainstorming, because it doesn’t come naturally. As a result, they tend to feel stuck in their search for fresh ideas.

The Solution

By brainstorming for questions instead of answers, you can create a safe space for deeper exploration and more-powerful problem solving. This brief exercise in reframing—which helps you avoid destructive group dynamics and biases that can thwart breakthrough thinking—often reveals promising new angles and unexpected insights.

About 20 years ago I was leading a brainstorming session in one of my MBA classes, and it was like wading through oatmeal. We were talking about something that many organizations struggle with: how to build a culture of equality in a male-dominated environment. Though it was an issue the students cared about, they clearly felt uninspired by the ideas they were generating. After a lot of discussion, the energy level in the room was approaching nil. Glancing at the clock, I resolved to at least give us a starting point for the next session.

  • Hal Gregersen is a Senior Lecturer in Leadership and Innovation at the MIT Sloan School of Management , a globally recognized expert in navigating rapid change, and a Thinkers50 ranked management thinker. He is the author of Questions Are the Answer: A Breakthrough Approach to Your Most Vexing Problems at Work and in Life and the coauthor of The Innovator’s DNA: Mastering the Five Skills of Disruptive Innovators .

problem solving techniques harvard

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  19. Subject

    Teaching Unit: Introduction to Problem Solving; Teaching Unit: Representing the Public; Teaching Unit: Transactions and Conflict Resolution; Teaching Unit: Working for a Client; Teaching Unit: Decision Making and Leadership in the Public Sector; Teaching Units: Skills; Teaching Units: Professional Development for In-House Counsel

  20. Solving Workplace Problems

    You can learn more about these services on the office's website. Harvard University Disability Resources. Richard A. and Susan F. Smith Campus Center, Suite 900. | 617-495-1859 | TTY: 617-496-0466 | Fax: 617-495-8520 |. [email protected].

  21. The Art of Asking Smarter Questions

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