A business journal from the Wharton School of the University of Pennsylvania
June 25, 2024 • 7 min read.
In this Nano Tool for Leaders, Penn's David Resnick offers guidance on using helpful constraints to unlock new solutions to old problems.
Nano Tools for Leaders® — a collaboration between Wharton Executive Education and Wharton’s Center for Leadership and Change Management — are fast, effective tools that you can learn and start using in less than 15 minutes, with the potential to significantly impact your success and the engagement and productivity of the people you lead.
Harness constraints and analogies to unlock new solutions to old problems.
Traditional brainstorming, as coined by Alex Osborne in the 1950s, asks participants to consider any and all ideas that might solve a problem. While blue-sky, no-limits thinking has several benefits, the drawback is that leaders often, paradoxically, get stuck. They encounter challenges like the “curse of the blank page,” not knowing where to start because they can start anywhere. They may also face the “ Einstellung effect ,” a phenomenon whereby the easy recollection of familiar solutions can block their ability to think of new ones.
This has led some to (erroneously) believe that generating solutions is best left to people who are naturally creative. The good news is that there are tools that can help one become much better at generating new ideas. The even better news is that using these tools does not involve extensive training or attending workshops. In fact, one tool developed at Penn Medicine’s Center for Health Care Transformation and Innovation is a simple card game , and the “secret sauce” it teaches is how to leverage constraints and analogies. The Accelerators in Innovation game has teams of players use accelerator cards to create new kinds of solutions with questions such as “How would you solve postpartum depression if you operated like IKEA?” and “How might you tackle long emergency room wait times if you were Warren Buffet?” The solutions are then applied to problems presented on challenge cards while trying to avoid monkey wrenches from their opponents. After rapid-fire pitches, the judge determines each round’s winner.
1. make sure you are solving a problem..
Don’t solve for how to implement a solution. A classic example involved a design team brought in to figure out how to increase access to incubators. The issue is that the solution was already baked in (increase access to incubators). The team spent some time reframing the problem to focus on the true issue: ensuring that newborns are kept at a safe temperature, especially when delivery occurs in places with little or no access to electricity. Reframing to focus on the actual problem opened the team to entirely different solutions.
Having to pull ideas out of thin air can be difficult and stressful. Analogies force us to consider other options or perspectives we may never have thought of, or thought of and dismissed. They cause us to ask ourselves “What is good about this other solution and how might it be applied to solving the problem I’m facing?” Examples include:
Think about successful companies and how their strengths could be applied to your problem. For example, IKEA is phenomenal at clearly explaining to people with limited background knowledge and literacy how to do something. So how might IKEA go about explaining post-op care to knee replacement patients?
Similarly, try using personas. Mary Poppins is renowned for making an unpleasant experience a delightful one. Mr. Rogers is known for his commitment to leveraging the kindness of neighbors. Darth Vader’s approach to getting things done is a ruthless level punishment for those who fail. Regardless of whom you choose, you can use the strengths or philosophies of these characters to inspire ideas. How might Mary Poppins improve adherence to physical therapy regimens? How might Darth Vader?
Constraints are, unintuitively, another great way to force new thinking. Some options are:
How might you solve a problem if you were forced to delete a crucial (but perhaps onerous or costly) step of the process? Great examples are “How might tollbooths collect fees without a human there to do it?” (FastPass) or “How might people get their rental car if there was no line to wait in?” (Hertz Gold).
How might you solve the problem if you had to solve for extreme use cases or extreme targets? For example, what would it take to screen 100 percent of eligible patients for colon cancer? How might you reduce civilian traffic fatalities to zero?
Apply real-world constraints that have thrown a monkey wrench in your plans for past ideas. For example, how might you create a new marketing campaign that must be successful for consumers who do not speak English? How might you build a new product to launch on time even if multiple team members take a sabbatical or parental leave?
Focus on solving for how to make your solution delightful to users. This isn’t about making something silly or fun. It’s about surprising your users in a manner that unexpectedly accomplishes something for them.
An additional benefit to Penn Medicine’s Accelerators card game is that it encourages multiple rounds to hear multiple ideas. When thinking of solutions, push for volume in your initial rounds. You’ll soon “use up” the ideas that come to mind easily and be forced to consider more creative or audacious alternatives.
Another key component of generating ideas while playing a game is that it allows for laughter and a sense of play. This mindset can foster creativity and an atmosphere of psychological safety for sharing ideas.
Rebecca Trotta, PhD, director of the Center for Nursing Excellence at Penn, leveraged this tool in developing a new program to support older adults after hospitalization. Her challenge was to build a service that could provide intensive at-home support. Despite an existing evidence-based protocol, there was concern that patient acceptance of this support would be low. Many folks are simply exhausted after being in the hospital and don’t want someone in their home. Using the constraint of solving for “delight,” Trotta and her team came up with the idea of delivering home meals to these patients and their caregivers.
While it might appear as a frivolous and seemingly useless expense, it turned out that after spending days (and sometimes weeks) in the hospital, patients came home to fridges that were empty or full of spoiled food. Providing them with a meal ensured they had adequate nutrition. More importantly, though, the meals showed a sense of caring and thoughtfulness that went well beyond patients’ expectations. It built a strong sense of trust that paid dividends in drastically increasing the acceptance of home services compared to baseline.
David Resnick, MPH, MSEd, Senior Innovation Manager at Penn Medicine’s Center for Health Care Transformation and Innovation. Accelerators in Health Care card game co-created with Michael Begley, MA, Senior Experience Consultant at EPAM Systems, and Visiting Professor and Assistant Program Director of Masters of UX at Thomas Jefferson University.
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Stumped five ways to hone your problem-solving skills.
Respect the worth of other people's insights
Problems continuously arise in organizational life, making problem-solving an essential skill for leaders. Leaders who are good at tackling conundrums are likely to be more effective at overcoming obstacles and guiding their teams to achieve their goals. So, what’s the secret to better problem-solving skills?
“Too often, people fail because they haven’t correctly defined what the problem is,” says David Ross, an international strategist, founder of consultancy Phoenix Strategic Management and author of Confronting the Storm: Regenerating Leadership and Hope in the Age of Uncertainty .
Ross explains that as teams grapple with “wicked” problems – those where there can be several root causes for why a problem exists – there can often be disagreement on the initial assumptions made. As a result, their chances of successfully solving the problem are low.
“Before commencing the process of solving the problem, it is worthwhile identifying who your key stakeholders are and talking to them about the issue,” Ross recommends. “Who could be affected by the issue? What is the problem – and why? How are people affected?”
He argues that if leaders treat people with dignity, respecting the worth of their insights, they are more likely to successfully solve problems.
Best 5% interest savings accounts of 2024, 2. unfocus the mind.
“To solve problems, we need to commit to making time to face a problem in its full complexity, which also requires that we take back control of our thinking,” says Chris Griffiths, an expert on creativity and innovative thinking skills, founder and CEO of software provider OpenGenius, and co-author of The Focus Fix: Finding Clarity, Creativity and Resilience in an Overwhelming World .
To do this, it’s necessary to harness the power of the unfocused mind, according to Griffiths. “It might sound oxymoronic, but just like our devices, our brain needs time to recharge,” he says. “ A plethora of research has shown that daydreaming allows us to make creative connections and see abstract solutions that are not obvious when we’re engaged in direct work.”
To make use of the unfocused mind in problem solving, you must begin by getting to know the problem from all angles. “At this stage, don’t worry about actually solving the problem,” says Griffiths. “You’re simply giving your subconscious mind the information it needs to get creative with when you zone out. From here, pick a monotonous or rhythmic activity that will help you to activate the daydreaming state – that might be a walk, some doodling, or even some chores.”
Do this regularly, argues Griffiths, and you’ll soon find that flashes of inspiration and novel solutions naturally present themselves while you’re ostensibly thinking of other things. He says: “By allowing you to access the fullest creative potential of your own brain, daydreaming acts as a skeleton key for a wide range of problems.”
“Admitting to not knowing the future takes courage,” says Professor Stephen Wyatt, founder and lead consultant at consultancy Corporate Rebirth and author of Antidote to the Crisis of Leadership: Opportunity in Complexity . “Leaders are worried our teams won’t respect us and our boards will lose faith in us, but what doesn’t work is drawing up plans and forecasts and holding yourself or others rigidly to them.”
Wyatt advises leaders to heighten their situational awareness – to look broadly, integrate more perspectives and be able to connect the dots. “We need to be comfortable in making judgment calls as the future is unknown,” he says. “There is no data on it. But equally, very few initiatives cannot be adjusted, refined or reviewed while in motion.”
Leaders need to stay vigilant, according to Wyatt, create the capacity of the enterprise to adapt and maintain the support of stakeholders. “The concept of the infallible leader needs to be updated,” he concludes.
“Organisations, and arguably society more widely, are obsessed with problems and the notion of problems,” says Steve Hearsum, founder of organizational change consultancy Edge + Stretch and author of No Silver Bullet: Bursting the Bubble of the Organisational Quick Fix .
Hearsum argues that this tendency is complicated by the myth of fixability, namely the idea that all problems, however complex, have a solution. “Our need for certainty, to minimize and dampen the anxiety of ‘not knowing,’ leads us to oversimplify and ignore or filter out anything that challenges the idea that there is a solution,” he says.
Leaders need to shift their mindset to cultivate their comfort with not knowing and couple that with being OK with being wrong, sometimes, notes Hearsum. He adds: “That means developing reflexivity to understand your own beliefs and judgments, and what influences these, asking questions and experimenting.”
Leaders must be able to communicate problems in order to find solutions to them. But they should avoid bombarding their teams with complex, technical details since these can overwhelm their people’s cognitive load, says Dr Jessica Barker MBE , author of Hacked: The Secrets Behind Cyber Attacks .
Instead, she recommends that leaders frame their messages in ways that cut through jargon and ensure that their advice is relevant, accessible and actionable. “An essential leadership skill for this is empathy,” Barker explains. “When you’re trying to build a positive culture, it is crucial to understand why people are not practicing the behaviors you want rather than trying to force that behavioral change with fear, uncertainty and doubt.”
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Welcome to the daily solving of our PROBLEM OF THE DAY with Yash Dwivedi. We will discuss the entire problem step-by-step and work towards developing an optimized solution. This will not only help you brush up on your concepts of Tree but also build up problem-solving skills. Given a binary tree, your task is to find all duplicate subtrees from the given binary tree.
Duplicate Subtree : Two trees are duplicates if they have the same structure with the same node values.
Note: Return the root of each tree in the form of a list array & the driver code will print the tree in pre-order tree traversal in lexicographically increasing order.
Examples: Input : 1 / \ 2 3 / / \ 4 2 4 / 4 Output: 2 4 4 Explanation: The above tree have two duplicate subtrees.i.e 2 / 4 and 4. Therefore, you need to return the above tree root in the form of a list.
Give the problem a try before going through the video. All the best!!! Problem Link: https://practice.geeksforgeeks.org/problems/duplicate-subtrees/1
EIP-7732 would enforce Proposer-Builder Separation on Ethereum validators. Photo by Thorsten Konersmann on Unsplash.
Key Takeaways
Although the Ethereum community recently celebrated gas fees falling to their lowest level in 4 years , the prevalence of Maximum Extractable Value (MEV) bots that drive up costs for everyday users remains a problem.
An Ethereum Improvement Proposal (EIP) submitted on Wednesday, July 6, could help solve the network’s bot problem through a mechanism known as Proposer-Builder Separation (PBS).
As outlined in EIP-7732 , Proposer-Builder Separation decouples the process of building and proposing blocks on the Ethereum blockchain.
📢 Announcing EIP-7732: Enshrined Proposer-Builder Separation! This proposal revolutionizes Ethereum block validation by separating execution validation from consensus validation, both logically and temporally. It introduces a new role, the builder, and a new responsibility for… pic.twitter.com/o6Iicyed9u — Collin Brown (@CollinBrownXRP) July 4, 2024
Whereas the current scheme sees validators perform both tasks, PBS separates each Ethereum block into consensus and execution parts. Builders orders and bundles transactions while proposers add them to the blockchain.
In a recent blog post exploring ways to make Ethereum more permissionless and decentralized, Vitalik Buterin argued that PBS could help implement what he called “MEV quarantining.”
As he explained, the current MEV problem stems from the way validators currently order transactions in a block to profit from DeFi arbitrage opportunities.
By outsourcing the task of choosing and ordering the content of a block to specialized builders, individual stakers no longer need to worry about optimizing DeFi arbitrage themselves. Instead, an auction mechanism lets consensus proposers choose the builder that offers the most profitable block.
Of course, under the PBS scheme proposed by EIP-7732, builders can still participate in MEV extraction. However, opportunities for front-running are significantly diminished and inefficient block proposals will naturally be rejected.
Frequently referred to as bots, MEV extraction algorithms have become an unavoidable part of the Ethereum ecosystem.
In a sense, EIP-7732 simply enshrines the PBS scheme already created by the widespread use of MEV-Boost , a validator optimization software developed by Flashbots.
Brothers Anton and James Peraire-Bueno arrested for a sophisticated $25M MEV-boost hack on April 2, 2023. https://t.co/O084AoeKrO Two MIT graduates now facing up to 20 years in prison. Caught laundering stolen crypto and googling how to do it. https://t.co/PTXxN0K1Fp pic.twitter.com/Ad0rACtJkh — Peter Kacherginsky (@_iphelix) May 15, 2024
While it somewhat mitigates the negative effects of maximum extractable value, the popularity of MEV-Boost has opened the software to exploitation. In May, two brothers were arrested on fraud charges for their role in a $25 million hack that lured MEV bots into posting illiquid trades to a validator they controlled and swapping them with tampered transactions.
By universalizing the PBS scheme, the latest Ethereum proposal allows for more trustless interactions, “guaranteeing that an honest [block proposer] will receive payment from the builder regardless of the latter’s actions.”
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Bibliometrics & citations, view options, recommendations, preconditioners for generalized saddle-point problems.
\noindent We propose and examine block-diagonal preconditioners and variants of indefinite preconditioners for block two-by-two generalized saddle-point problems. That is, we consider the nonsymmetric, nonsingular case where the (2,2) block is small in ...
In this paper, based on the SOR and SSOR splittings of the (1,1) part of saddle-point coefficient matrix, some variants of the accelerated parameterized inexact Uzawa (VAPIU) method are proposed for solving nonsingular and singular saddle-point ...
In this paper, we consider a class of Uzawa-SOR methods for saddle point problems, and prove the convergence of the proposed methods. We solve a lower triangular system per iteration in the proposed methods, instead of solving a linear equation Az=b. ...
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Here are the steps to follow for how to create a four blocker: 1. Prepare the document. Prepare the document you'll use for the four blocker. Consider creating the document on a shared platform that allows others to view and update the chart easily, encouraging collaboration among your team. Divide the document into four equal quadrants using ...
4-Blockers help visualize performance & rank problems, and engage teams to collaborate to prioritize issues and drive corrective action & accountability.... leading to improved performance and less daily stress. A 4-Blocker is a highly adaptable and effective 1-page collaboration tool that shows multiple views of a process over a given period ...
4 Block Math Problem Solving. D. Russell. Print the 4 Block Math Template in PDF. In this article I explain how to use this graphic organizer in math which is sometimes referred to as: 4 corners, 4 block or 4 square.. This template works well for solving problems in math that require more than one step or with problems that could be solved by using different strategies.
The 4 Blocker is a one-page document that gives a stakeholder critical information at a glance. Not only does this give them a high-level understanding of the project, but it's also helpful to ensure that the project management team shares information with clients uniformly, no matter who's sending it. While the 4 Blocker may have initially ...
Block #4 (right hand side, on the bottom): People are interested in the past, more into the future. Do not underestimate the content of the fourth area as it will support you when you are speaking about the future and the path forward. Carefully summarize the next steps and highlight the deadlines.
The A3 technique is a structured way to solve problems. It's part of the Lean methodology, developed by Toyota back in the mid-'40s. This doesn't mean you need to implement a Lean way of working to take advantage of this process — it can work as a standalone exercise. Granted, A3 isn't an inspiring name, but the story of its origins ...
From my notes to the PMP course I took, with an ATP ( the GreyCampus PMP course, which I recommend ), the PMI defines: Impediments: something that slows down or hinders progress. Obstacles: something you need to move, go around, avoid, or overcome, using a strategy. Blockers: something that causes work to stop.
However, it can also be used to solve problems like a typical 4 block problem. See the Handshake Problem example next. 4 of 04. 4 Block using Handshake Problem Here is an example of the handshake problem being solve by a 10 year old. The problem was: If 25 people shake hands, how many handshakes will there be?
How to create a 4 blocker. The steps to create a four blocker are as follows: 1. Prepare the document. Prepare the document youll use for the four blocker. Think about putting the document on a shared platform so that others can easily view and update the chart and promote teamwork. Using line tools, divide the document into four equal ...
👉 Make sure your presentations are professional. See the PowerPoint tutorial course at https://hourtolearn.com/powerpoint★★★★★ Overwhelmed by your ...
Initial Setup. Layout the initial state of the board. You can create blocks by dragging the left mouse button over empty space. Click on a block to get a popup menu. Blocks can be marked "Locked In Place" so the solver knows it may not move them. << Previous.
4. Implement the Solution. At this stage of problem solving, be prepared for feedback, and plan for this. When you roll out the solution, request feedback on the success of the change made. 5. Review, Iterate, and Improve. Making a change shouldn't be a one time action.
The 4-Step Problem-Solving Process. This document is the third in a series intended to help school and district leaders maximize the effectiveness and fluidity of their multi-tiered system of supports (MTSS) across different learning environments. Specifically, the document is designed to support the use of problem solving to improve outcomes ...
This ONE PAGE 4 blocker template [aka Four Blocker Template] is perfect for presenting a status update - especially to senior management. It helps reduce the amount of time needed, communicates the status succinctly and clearly, and is respectful of everyone's time. Watch the video below for instructions and advice when presenting a status ...
Problem Solving the Thinking Blocks® Way! We updated our Thinking Blocks suite of learning tools with all new features. read aloud word problems - visual prompts - better models - engaging themes - mobile friendly.
9-Square (Prioritization Tool) The 9-square is a prioritization tool in Lean problem solving that helps you organize your improvement ideas. After completing a brainstorming session in which you compile a large number of viable options, you have to decide which ones to implement. To use the 9-square, rank each problem in two categories: impact ...
Common obstacles to solving problems. The example also illustrates two common problems that sometimes happen during problem solving. One of these is functional fixedness: a tendency to regard the functions of objects and ideas as fixed (German & Barrett, 2005).Over time, we get so used to one particular purpose for an object that we overlook other uses.
Example 3: Well-meaning former Toyota team members, now working for a different large company wanted to "train everyone in problem solving.". They put together a "class" that presented the purpose of each block on their A3 form with the expectation that people would adopt the process. All of these efforts had something in common.
Ease measures how easy or difficult it is to resolve the blocker. Multiply these three criteria to get an ICE score for each blocker. Prioritize the blockers with the highest ICE scores first. By ...
Overcoming Obstacles with 4-Blocker Templates Overcome obstacles and challenges with our 4-blocker templates, designed for problem-solving, decision-making, and action planning in business contexts. These templates offer structured layouts, block frameworks, and visual aids for analyzing issues, generating solutions, and making informed ...
Creative 4 Blocker PowerPoint Presentation Slides. Empower your strategic planning with our comprehensive range of 4 Blocker PowerPoint templates, designed to streamline your presentations and enhance decision-making. Elevate your project management discussions and status updates using visually compelling layouts that segment information into ...
task; 2) highlight different problem solving strategies; 3) recognize milestone snapshots, i.e. those that strongly correlate with correct solutions, or early warning signs; 4) summarize problem solving processes; 5) present individual processes and strategies in detail. The paper then proceeds to showcase BlockLens and to present
Block-4 Problem Solving-2017: Unit-1 Nature of Problem Solving-2017: Unit-2 Stages of Problem Solving-2017: Unit-3 Theoretical Approaches to Problem Solving-2017: Unit-4 Impediments to Problem Solving-Collection's Items (Sorted by Submit Date in Descending order): 1 to 5 of 5 Discover. Date issued. 4 2017;
Traditional brainstorming, as coined by Alex Osborne in the 1950s, asks participants to consider any and all ideas that might solve a problem. While blue-sky, no-limits thinking has several ...
Respect the worth of other people's insights. getty. Problems continuously arise in organizational life, making problem-solving an essential skill for leaders.
Welcome to the daily solving of our PROBLEM OF THE DAY with Yash Dwivedi. We will discuss the entire problem step-by-step and work towards developing an optimized solution. This will not only help you brush up on your concepts of Tree but also build up problem-solving skills. Given a binary tree, your task is to find all duplicate subtrees from the given binary tree.
The rise of Buffalo Bills edge rusher Gregory Rousseau in the last three seasons has made everyone take notice of his superb talent as a member of Sean McDermott's defense.. In his 46 games ...
Under EIP-7732, the task of validation would be split between block builders and block proposers. The new Proposer-Builder Separation could help mitigate the negative impact of MEV bots. Although the Ethereum community recently celebrated gas fees falling to their lowest level in 4 years , the prevalence of Maximum Extractable Value (MEV) bots ...
Ramos H., Abdulganiy R., Olowe R., Jator S., A family of functionally-fitted third derivative block Falkner methods for solving second-order initial-value problems with oscillating solutions, Mathematics 9 (7) (2021) 713.
In this paper, a simple preconditioner with two parameters (SPTP) is introduced for solving a class of saddle-point problems. The SPTP preconditioner is block upper triangular and does not contain the approximate matrix of the Schur complement matrix.