The art of problem solving : a resource for the mathematics teacher
著者
書誌事項
The art of problem solving : a resource for the mathematics teacher
Corwin Press, c1996
- : pbk. : acid-free paper
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注記
Includes bibliographical references (p. 445-456)
内容説明・目次
内容説明
As a mathematics teacher, you know how hard it can be for your students to understand and solve math problems. The old ways of problem solving don't always work. Even the most innovative teachers need some fresh ideas to make mathematics something students comprehend and enjoy. Problem solving is the main theme of this new, idea-filled handbook. The chapter authors look at the subject in a completely new light, and the result is an enticing, entertaining, and useful resource. The editors of this guidebook present a host of interesting ideas that range from practical to theoretical, from common to glitzy, that you can adapt for use in your classroom. With margin notes identifying subject matter and strategy type, this book is as easy to read as it is valuable. Full of important ideas on: * Interest grabbers * The pigeonhole approach * Combinatorics, or counting without really counting * Symmetry * Graph theory * Using game strategies Mathematics professionals from all over the world bring you their personal favorite strategies for problem solving. The chapters are independent of each other, and the editors encourage you to use the chapters in whatever order suits your needs. If you have ever despaired of making mathematics into a favorite subject for yourself and your class, this is the book you need. These passionate professionals give you new insight into the art of problem solving.
目次
Strategies for Problem Exploration - Ira Ewen
Unconventional Problem-Solving Strategies in Mathematics Instruction - Alfred S Posamentier
Interest Grabbers - Steven R Conrad
Exciting Motivational Problems with Punch and Personality
Check the Answer, Please! - Mario Salvadori
The Logic of Error - Ethan Akin
Trial and Success - Fred Paul
Reduce, Expand, and Look for a Pattern - Stephen Krulik and Jesse A Rudnick
A Pigeonhole Principle for Problem Solving - Alfred S Posamentier and Wei Lee
Handling, Seeing, and Thinking Experiences in Mathematics - Evan M Maletsky
Problem Solving as a Continuous Principle for Teaching - Hans Humenberger and Hans-Christian Reichel
Suggestions and Examples
Another View of Combinatorics (or Counting without Really Counting) - Stephen E Moresh
Problem Solving by the Use of Functions - Wolfgang Schulz
Symmetry Saves the Solution - David Singmaster
An Application of Congruence Transformations in Problem Solving - Jan Trojak
Graph Theory - Wei Lee
Tools to Solve Mathematical Problems
A Different Solution for Problems with Extreme Values - Karl Kiesswetter, Roland J K Stowasser, and Lenni I Haapasalo
A Didactic Journey into the World of Jakob Steiner's Ideas
The Problem of the Duplication of a Cube - Hans K Kaiser
Solving Mathematical Problems Using Game Strategies - Marion Kauke and Sabine Ziller
Cooperative Learning Approaches to Mathematical Problem Solving - Hope J Hartman
Problem Solving and the Mathematically Gifted Student - Brigitte A Rollett
A Psychological Perspective
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