Problem-Solving Strategies

Problem-Solving Strategies
Author: Arthur Engel
Publisher: Springer Science & Business Media
Total Pages: 404
Release: 2008-01-19
Genre: Mathematics
ISBN: 0387226419

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.

Problem-Solving Through Problems

Problem-Solving Through Problems
Author: Loren C. Larson
Publisher: Springer Science & Business Media
Total Pages: 322
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461254981

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.

Mathematics Problem-solving Challenges For Secondary School Students And Beyond

Mathematics Problem-solving Challenges For Secondary School Students And Beyond
Author: Alan Sultan
Publisher: World Scientific
Total Pages: 196
Release: 2016-02-25
Genre: Mathematics
ISBN: 981473005X

This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world. It is an excellent training resource for high school students who plan to participate in mathematics contests, and a wonderful collection of problems that can be used by teachers who wish to offer their advanced students some challenging nontraditional problems to work on to build their problem solving skills. It is also an excellent source of problems for the mathematical hobbyist who enjoys solving problems on various levels.Problems are organized by topic and level of difficulty and are cross-referenced by type, making finding many problems of a similar genre easy. An appendix with the mathematical formulas needed to solve the problems has been included for the reader's convenience. We expect that this book will expand the mathematical knowledge and help sharpen the skills of students in high schools, universities and beyond.

First Steps for Math Olympians

First Steps for Math Olympians
Author: J. Douglas Faires
Publisher: MAA
Total Pages: 344
Release: 2006-12-21
Genre: Mathematics
ISBN: 9780883858240

A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability.

Powerful Problem Solving

Powerful Problem Solving
Author: Max Ray
Publisher: Heinemann Educational Books
Total Pages: 0
Release: 2013
Genre: Education
ISBN: 9780325050904

How can we break the cycle of frustrated students who "drop out of math" because the procedures just don't make sense to them? Or who memorize the procedures for the test but don't really understand the mathematics? Max Ray-Riek and his colleagues at the Math Forum @ Drexel University say "problem solved," by offering their collective wisdom about how students become proficient problem solvers, through the lens of the CCSS for Mathematical Practices. They unpack the process of problem solving in fresh new ways and turn the Practices into activities that teachers can use to foster habits of mind required by the Common Core: communicating ideas and listening to the reflections of others estimating and reasoning to see the "big picture" of a problem organizing information to promote problem solving using modeling and representations to visualize abstract concepts reflecting on, revising, justifying, and extending the work. Powerful Problem Solving shows what's possible when students become active doers rather than passive consumers of mathematics. Max argues that the process of sense-making truly begins when we create questioning, curious classrooms full of students' own thoughts and ideas. By asking "What do you notice? What do you wonder?" we give students opportunities to see problems in big-picture ways, and discover multiple strategies for tackling a problem. Self-confidence, reflective skills, and engagement soar, and students discover that the goal is not to be "over and done," but to realize the many different ways to approach problems. Read a sample chapter.

The Art and Craft of Problem Solving

The Art and Craft of Problem Solving
Author: Paul Zeitz
Publisher: John Wiley & Sons
Total Pages: 389
Release: 2017
Genre: Problem solving
ISBN: 1119239907

This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.

Maths Problem Solving Ages 7-11

Maths Problem Solving Ages 7-11
Author: John Dabell
Publisher:
Total Pages: 96
Release: 2006
Genre: Mathematics
ISBN: 9780439965705

Teach children problem-solving strategies with these imaginative and creative maths problems. This book shows how once children have learned the different approaches they can become independent creative thinkers and systematically apply their skills. * Problems are set in creative contexts to engage and motivate children. * Plenty of visual and hands-on resources used to cater for different learning styles. * Support for more and less able provided. * Plenty of follow-up suggestions for further work for children to apply their knowledge. * Full colour examples of pupil work included.