From Ashima Shiraishi, one of the world's youngest and most skilled climbers, comes a true story of strength and perseverance--in rock climbing and in life. To a rock climber, a boulder is called a "problem," and you solve it by climbing to the top. There are twists and turns, falls and scrapes, and obstacles that seem insurmountable until you learn to see the possibilities within them. And then there is the moment of triumph, when there's nothing above you but sky and nothing below but a goal achieved. Ashima Shiraishi draws on her experience as a world-class climber in this story that challenges readers to tackle the problems in their own lives and rise to greater heights than they would have ever thought possible.
A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
Problems block and slow down your progress; here’s how to overcome them–simply, efficiently and effectively. This book offers straightforward, empowering science-based solutions to problems, big and small, at work or in life. It takes a never before seen approach to problem solving, powerfully combining lessons from cognitive science, established problem-solving theory and vast practical experience. It includes a radical new approach to analysing problems: The Problem Matrix. This will transform your approach to problems, challenge your thinking and help you develop new, positive, solution-focussed mindsets for the long-term.
Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.
Every person in every function of every organization is involved in solving problems. They show up in your email inbox, in meetings, in your own work. They are strategic and tactical, mundane and breakthrough, easy and difficult. Most organizations want to, and need to, improve their people's problem-solving efforts, and so they offer them tools, templates, and training. Yet this is not where the leverage for impact is found. People Solve Problems: The Power of Every Person, Every Day, Every Problem explores the real leverage to improve your problem solving. In the first section of the book, we explore the problem with problem solving, including both the value and limits of tools and templates. We also explore the marriage of problem solving and standards. Building on that start, People Solve Problems is built on four primary domains. After setting up the challenge, we start by exploring People-Centered Capabilities. These capabilities are tool agnostic, equally applicable to any chosen problem-solving method or no method at all. This includes a wide range of capabilities from creating problem statements to integrating intuition into problem solving. Next, we cover Problem-Solving Culture. These chapters outline the culture needed in the organization or the personal behaviors you must master to be successful in problem solving. The behaviors explored range from deliberately learning through problem solving to building transparency, vulnerability, and trust. In the third section, we dive into Success through Coaching. Problem solving is unlike other practices, training is incredibly insufficient, and coaching is the major driver of success. This section addresses the why, who, when, where, and of course the important how of coaching. Finally, we explore the Role of the Leader, whether the CEO or a team leader, in building an environment where problem solving can thrive. The leader must be the architect of their problem-solving systems, a shaper of culture, and a framer of problems. Problem-solving effectiveness is critical to success for both the problems you already know about and those you have not yet experienced. People Solve Problems will you help you, and those you lead, to be more effective now and in the future.
"The author makes a compelling case that we often start solving a problem before thinking deeply about whether we are solving the right problem. If you want the superpower of solving better problems, read this book." -- Eric Schmidt, former CEO, Google Are you solving the right problems? Have you or your colleagues ever worked hard on something, only to find out you were focusing on the wrong problem entirely? Most people have. In a survey, 85 percent of companies said they often struggle to solve the right problems. The consequences are severe: Leaders fight the wrong strategic battles. Teams spend their energy on low-impact work. Startups build products that nobody wants. Organizations implement "solutions" that somehow make things worse, not better. Everywhere you look, the waste is staggering. As Peter Drucker pointed out, there's nothing more dangerous than the right answer to the wrong question. There is a way to do better. The key is reframing, a crucial, underutilized skill that you can master with the help of this book. Using real-world stories and unforgettable examples like "the slow elevator problem," author Thomas Wedell-Wedellsborg offers a simple, three-step method - Frame, Reframe, Move Forward - that anyone can use to start solving the right problems. Reframing is not difficult to learn. It can be used on everyday challenges and on the biggest, trickiest problems you face. In this visually engaging, deeply researched book, you’ll learn from leaders at large companies, from entrepreneurs, consultants, nonprofit leaders, and many other breakthrough thinkers. It's time for everyone to stop barking up the wrong trees. Teach yourself and your team to reframe, and growth and success will follow.
How to take advantage of technology, data, and the collective wisdom in our communities to design powerful solutions to contemporary problems The challenges societies face today, from inequality to climate change to systemic racism, cannot be solved with yesterday's toolkit. Solving Public Problems shows how readers can take advantage of digital technology, data, and the collective wisdom of our communities to design and deliver powerful solutions to contemporary problems. Offering a radical rethinking of the role of the public servant and the skills of the public workforce, this book is about the vast gap between failing public institutions and the huge number of public entrepreneurs doing extraordinary things--and how to close that gap. Drawing on lessons learned from decades of advising global leaders and from original interviews and surveys of thousands of public problem solvers, Beth Simone Noveck provides a practical guide for public servants, community leaders, students, and activists to become more effective, equitable, and inclusive leaders and repair our troubled, twenty-first-century world.
This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.
Wall Street Journal Bestseller New York Times bestselling author Dan Heath explores how to prevent problems before they happen, drawing on insights from hundreds of interviews with unconventional problem solvers. So often in life, we get stuck in a cycle of response. We put out fires. We deal with emergencies. We stay downstream, handling one problem after another, but we never make our way upstream to fix the systems that caused the problems. Cops chase robbers, doctors treat patients with chronic illnesses, and call-center reps address customer complaints. But many crimes, chronic illnesses, and customer complaints are preventable. So why do our efforts skew so heavily toward reaction rather than prevention? Upstream probes the psychological forces that push us downstream—including “problem blindness,” which can leave us oblivious to serious problems in our midst. And Heath introduces us to the thinkers who have overcome these obstacles and scored massive victories by switching to an upstream mindset. One online travel website prevented twenty million customer service calls every year by making some simple tweaks to its booking system. A major urban school district cut its dropout rate in half after it figured out that it could predict which students would drop out—as early as the ninth grade. A European nation almost eliminated teenage alcohol and drug abuse by deliberately changing the nation’s culture. And one EMS system accelerated the emergency-response time of its ambulances by using data to predict where 911 calls would emerge—and forward-deploying its ambulances to stand by in those areas. Upstream delivers practical solutions for preventing problems rather than reacting to them. How many problems in our lives and in society are we tolerating simply because we’ve forgotten that we can fix them?
Many books have been written on the theory of functional equations, but very few help readers solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. Each chapter includes a list of problems associated with the covered material. These vary in difficulty, with the easiest being accessible to any high school student who has read the chapter carefully. The most difficult will challenge students studying for the International Mathematical Olympiad or the Putnam Competition. An appendix provides a springboard for further investigation of the concepts of limits, infinite series and continuity.
