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.
The purpose of this book is to teach the basic principles of problem solving, including both mathematical and nonmathematical problems. This book will help students to … translate verbal discussions into analytical data.learn problem-solving methods for attacking collections of analytical questions or data.build a personal arsenal of internalized problem-solving techniques and solutions.become “armed problem solvers”, ready to do battle with a variety of puzzles in different areas of life.Taking a direct and practical approach to the subject matter, Krantz's book stands apart from others like it in that it incorporates exercises throughout the text. After many solved problems are given, a “Challenge Problem” is presented. Additional problems are included for readers to tackle at the end of each chapter. There are more than 350 problems in all. This book won the CHOICE Outstanding Academic Book Award for 1997. A Solutions Manual to most end-of-chapter exercises is available.
The fun and simple problem-solving guide that took Japan by storm Ken Watanabe originally wrote Problem Solving 101 for Japanese schoolchildren. His goal was to help shift the focus in Japanese education from memorization to critical thinking, by adapting some of the techniques he had learned as an elite McKinsey consultant. He was amazed to discover that adults were hungry for his fun and easy guide to problem solving and decision making. The book became a surprise Japanese bestseller, with more than 370,000 in print after six months. Now American businesspeople can also use it to master some powerful skills. Watanabe uses sample scenarios to illustrate his techniques, which include logic trees and matrixes. A rock band figures out how to drive up concert attendance. An aspiring animator budgets for a new computer purchase. Students decide which high school they will attend. Illustrated with diagrams and quirky drawings, the book is simple enough for a middleschooler to understand but sophisticated enough for business leaders to apply to their most challenging problems.
This second edition explains, demonstrates and evaluates 105 tested problem-solving techniques, 35 more than appeared in the first edition. Having more techniques at your disposal enables you to solve a wider range of problems without wasting time looking for the best solutions. In addition, you will find new techniques for classifying problems - to solve them faster - as well as expanded discussion of proven brainstorming and brainwriting methods.
Note to Readers: Publisher does not guarantee quality or access to any included digital components if book is purchased through a third-party seller. Applied Problem-Solving in Healthcare Management is a practical textbook devoted to developing and strengthening problem-solving and decision-making leadership competencies of healthcare administration students and healthcare management professionals. Built upon the University of Minnesota Master of Healthcare Administration Program’s Problem-Solving Method, the text describes the “never assume” mindset and the structured method that drive evidence-based, action-oriented problem-solving. The “never assume” mindset requires healthcare leaders to understand themselves and their stakeholders, and to engage in waves of divergent and convergent thinking. This structured method guides the problem solver through the phases of defining, studying, and acting on complex interrelated organizational problems that involve multiple root causes. The book also describes how the Problem-Solving Method is complementary to quality improvement methods and can be used in healthcare organizations along with Lean, Design Thinking, and Human Centered Design. Providing step-by-step instruction including useful tips, tools, activities, and case studies, this effective resource demonstrates the utility of the method for all types of health organization settings including health systems, hospitals, clinics, population health, and long-term care. For students taking health management, capstone, and experiential learning courses, including internship and residency projects, this book allows them to test and apply their problem-solving and decision-making skills to real-world situations. Beyond the classroom, it is an indispensable resource for organizations seeking to enhance the problem-solving skills of their workforce. The authors of the text have nearly 75 years of combined experience in healthcare management, leadership, and professional consulting, and teaching and advising healthcare administration students in classrooms, on student capstone, internship and residency projects, and case competitions. Synthesizing their expertise, this text serves as a guide for those who wish to strengthen their problem-solving abilities to systematically identify, analyze, study, and solve pressing organizational challenges in healthcare settings. Key Features: Describes a mindset and a structured problem-solving method that builds leadership competencies Encourages a step-by-step problem-solving approach to define, study, and act on problems to drive action-oriented solutions Supports experiential learning and coaching for students and professionals early in their careers, applicable especially to healthcare management, capstone, and student consulting courses, internship and residency projects, case competitions, and professional development in organizations Compares the Problem-Solving Method to other complementary methods used in many healthcare organizations, including Lean, Design Thinking, and Human Centered Design
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.
This best-seller can help anyone whose role is to try to find specific causes for failures. It provides detailed steps for solving problems, focusing more heavily on the analytical process involved in finding the actual causes of problems. It does this using figures, diagrams, and tools useful for helping to make our thinking visible. This increases our ability to see what is truly significant and to better identify errors in our thinking. In the sections on finding root causes, this second edition now includes: more examples on the use of multi-vari charts; how thought experiments can help guide data interpretation; how to enhance the value of the data collection process; cautions for analyzing data; and what to do if one cant find the causes. In its guidance on solution identification, biomimicry and TRIZ have been added as potential solution identification techniques. In addition, the appendices have been revised to include: an expanded breakdown of the 7 Ms, which includes more than 50 specific possible causes; forms for tracking causes and solutions, which can help maintain alignment of actions; techniques for how to enhance the interview process; and example responses to problem situations that the reader can analyze for appropriateness.
Complex problem solving is the core skill for 21st Century Teams Complex problem solving is at the very top of the list of essential skills for career progression in the modern world. But how problem solving is taught in our schools, universities, businesses and organizations comes up short. In Bulletproof Problem Solving: The One Skill That Changes Everything you’ll learn the seven-step systematic approach to creative problem solving developed in top consulting firms that will work in any field or industry, turning you into a highly sought-after bulletproof problem solver who can tackle challenges that others balk at. The problem-solving technique outlined in this book is based on a highly visual, logic-tree method that can be applied to everything from everyday decisions to strategic issues in business to global social challenges. The authors, with decades of experience at McKinsey and Company, provide 30 detailed, real-world examples, so you can see exactly how the technique works in action. With this bulletproof approach to defining, unpacking, understanding, and ultimately solving problems, you’ll have a personal superpower for developing compelling solutions in your workplace. Discover the time-tested 7-step technique to problem solving that top consulting professionals employ Learn how a simple visual system can help you break down and understand the component parts of even the most complex problems Build team brainstorming techniques that fight cognitive bias, streamline workplanning, and speed solutions Know when and how to employ modern analytic tools and techniques from machine learning to game theory Learn how to structure and communicate your findings to convince audiences and compel action The secrets revealed in Bulletproof Problem Solving will transform the way you approach problems and take you to the next level of business and personal success.
