Problem-Solving Strategies

Problem-Solving Strategies

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  • Author: Arthur Engel
  • Publisher: Springer Science & Business Media
  • ISBN: 0387226419
  • Category : Mathematics
  • Languages : en
  • Pages : 403

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.


Solving Mathematical Problems

Solving Mathematical Problems

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  • Author: Terence Tao
  • Publisher: OUP Oxford
  • ISBN: 0191568694
  • Category : Mathematics
  • Languages : en
  • Pages : 116

Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.


Mathematics Problem-Solving Challenges for Secondary School Students and Beyond

Mathematics Problem-Solving Challenges for Secondary School Students and Beyond

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  • Author: David Linker
  • Publisher: World Scientific
  • ISBN: 981473005X
  • Category : Mathematics
  • Languages : en
  • Pages : 196

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. Contents:Arithmetic and LogicAlgebraGeometryTrigonometryLogarithmsCountingNumber TheoryProbabilityFunctional Equations Readership: High school students, teachers and general public interested in exciting mathematics problems.


Problem Solving Through Recreational Mathematics

Problem Solving Through Recreational Mathematics

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  • Author: Bonnie Averbach
  • Publisher: Courier Corporation
  • ISBN: 0486131742
  • Category : Mathematics
  • Languages : en
  • Pages : 480

Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. Free solutions manual available for download at the Dover website.


Problem-Solving Through Problems

Problem-Solving Through Problems

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  • Author: Loren C. Larson
  • Publisher: Springer Science & Business Media
  • ISBN: 1461254981
  • Category : Mathematics
  • Languages : en
  • Pages : 352

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.


The Art and Craft of Problem Solving

The Art and Craft of Problem Solving

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  • Author: Paul Zeitz
  • Publisher: John Wiley & Sons
  • ISBN: 1119239907
  • Category : Problem solving
  • Languages : en
  • Pages : 389

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.


How to Solve Problems

How to Solve Problems

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  • Author: Wayne A. Wickelgren
  • Publisher: W.H. Freeman
  • ISBN: 9780716708452
  • Category : Mathematics
  • Languages : en
  • Pages : 262

Examples help explain the seven basic mathematical problem-solving methods, including inference, classification of action sequences, working backward, and contradiction


How to Solve Mathematical Problems

How to Solve Mathematical Problems

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  • Author: Wayne A. Wickelgren
  • Publisher: Courier Corporation
  • ISBN: 0486152685
  • Category : Science
  • Languages : en
  • Pages : 288

Seven problem-solving techniques include inference, classification of action sequences, subgoals, contradiction, working backward, relations between problems, and mathematical representation. Also, problems from mathematics, science, and engineering with complete solutions.


The Stanford Mathematics Problem Book

The Stanford Mathematics Problem Book

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  • Author: George Polya
  • Publisher: Courier Corporation
  • ISBN: 048631832X
  • Category : Mathematics
  • Languages : en
  • Pages : 80

Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.


Problem Solving in Mathematics, Grades 3-6

Problem Solving in Mathematics, Grades 3-6

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  • Author: Alfred S. Posamentier
  • Publisher: Corwin Press
  • ISBN: 1412960665
  • Category : Education
  • Languages : en
  • Pages : 305

"Demonstrates problem solving strategies with solutions and teaching notes and allows the teacher to create a collection of problems to fit a particular grade level."-Janice L. Richardson, Associate Professor and Education Coordinator, Department of MathematicsElon UniversityHelp students succeed as problem solvers in and out of the classroom! Problem solving skills are critical to students' success in mathematics, but the techniques can't be caught; they must be taught. Based on the premise that educators must take a deliberate approach to the teaching of problem solving skills, this book helps teachers engage students in the process. Problem Solving in Mathematics, Grades 3-6 stresses the importance of problem solving in mathematics and presents nine strategies that students can use to solve problems, such as working backwards, finding a pattern, making a drawing, or solving a simpler equivalent problem. Each chapter demonstrates how teachers can:Apply the strategies to problems at different grade levels Incorporate these strategies into a mathematics program Understand how each strategy can be applied to real-life situations Make each strategy an integral part of students' thinking processesWith helpful teaching notes, sample problems for students that fit into any mathematics curriculum, and step-by-step solutions to sample problems, this book is perfect for teachers who want their students to succeed in mathematics!