Problem Solving Strategies

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.

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.

This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics. In doing so, first the common approach is shown, and then a more elegant strategy is provided. Elementary mathematics is used so that the reader can focus on the strategy and not be distracted by some more sophisticated mathematics.

This updated edition presents ten strategies for solving a wide range of mathematics problems, plus new sample problems.

This book provides a framework to hone and polish any person's creative problem-solving skills.

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.

Life is a series of coping with a variety of problems. Major or minor problems arise for us all the time, and our life is filled with them. Thus, we need to engage in constant problem-solving in our daily lives. This book reviews strategies, challenges and outcomes of problem-solving. Chapter One discusses computational thinking and fuzzy logic in problem solving. Chapter Two reviews digital technologies and mathematical problem solving. Chapter Three deals with the concept of Einstellung effect - a psychological phenomenon evinced by problem solvers through a tendency (mind set) to use previously learned workable strategy in situations that either can be resolved more efficiently or to which the strategy is not applicable at all. Chapter Four gives an overview of the research on the use of narrative Context Rich Problems (CRP) in physics education at the upper secondary and higher education levels. Chapter Five examines teaching and assessing story problems. Chapter Six assesses the interpersonal problem-solving process. Chapter Seven discusses validations and outcomes of a multi-dimensional scale to measure strategies for solving personal problems. In Chapter Eight, the ability for solving problems in our day-to-day lives, called social problem-solving is addressed. Chapter Nine examines the relationship between social problem solving and some mediator and moderator variables among 12- and 16-year-old Hungarian students. Chapter Ten investigates the effect of improving young students' self-regulatory strategies on their persistence to face and overcome cognitive obstacles and their problem-solving ability. Chapter Eleven discusses improving undergraduate student generic problem solving skills by using problem-based learning in large classroom settings. Chapter Twelve presents problem-solving therapy (PST) as an effective intervention to prevent or reduce psychopathology and to enhance positive well-being by helping individuals cope more effectively with stressful life problems. Chapter Thirteen investigates the status of Problem Solving in our modern society, and explores perspectives in the forthcoming Third Industrial Revolution.