**ERIC Number:**ED391689

**Record Type:**RIE

**Publication Date:**1996

**Pages:**473

**Abstractor:**N/A

**Reference Count:**N/A

**ISBN:**ISBN-0-8039-6362-9

**ISSN:**N/A

The Art of Problem Solving: A Resource for the Mathematics Teacher.

Posamentier, Alfred S.; Schulz, Wolfgang

This book is designed to give mathematics teachers a host of interesting and useful ideas thereby raising their consciousness level and enabling an enrichment of the mathematics instruction program. The chapters in this book capture a broad spectrum of ideas in the area of mathematics problem solving. Chapters are: (1) "Strategies for Problem Exploration" (Ewen, Ira); (2) "Unconventional Problem-Solving Strategies in Mathematics Instruction" (Posamentier, Alfred); (3) "Interest Grabbers: Exciting Motivational Problems with Punch and Personality" (Conrad, Steven); (4) "Check the Answer, Please!" (Salvadori, Mario); (5) "The Logic of Error" (Akin, Ethan); (6) "Trial and Success" (Paul, Fred); (7) "Reduce, Expand, and Look for a Pattern" (Krulik, Stephen; and Rudnick, Jesse); (8)"The Pigeonhole Principle for Problem Solving" (Posamentier, Alfred; and Lee, Wei); (9) "Handling, Seeing, and Thinking Experiences in Mathematics" (Maletsky, Evan); (10) "Problem Solving as a Continuous Principle for Teaching: Suggestions and Examples" (Humenberger, Hans; and Reichel, Hans-Christian); (11) "Another View of Combinatorics (or Counting Without Really Counting)" (Moresh, Stephen); (12) "Problem Solving by the Use of Functions" (Schulz, Wolfgang); (13) "Symmetry Saves the Solution" (Singmaster, David); (14) "An Application of Congruence Transformations in Problem Solving" (Trojak, Jan); (15) "Graph Theory: Tools to Solve Mathematical Problems" (Lee, Wei); (16) "A Different Solution for Problems With Extreme Values: A Didactic Journey Into the World of Jakob Steiner's Ideas" (Kiesswetter, Karl; Stowasser, Roland; and Haapasalo, Lenni); (17) "The Problem of the Duplication of a Cube" (Kaiser, Hans); (18) "Solving Mathematical Problems Using Game Strategies" (Kauke, Marion; and Ziller, Sabine); (19) "Cooperative Learning Approaches to Mathematical Problem Solving" (Hartman, Hope); and (20) "Problem Solving and the Mathematically Gifted Student: A Psychological Perspective" (Rollett, Brigitte). Appendices include sources for problems and readings on problem solving. (JRH)

Descriptors: Cooperative Learning, Educational Resources, Elementary Secondary Education, Mathematical Concepts, Mathematics Teachers, Problem Solving

Corwin Press, Inc., 2455 Teller Road, Thousand Oaks, CA 91320.

**Publication Type:**Books; Collected Works - General; Guides - Classroom - Teacher

**Education Level:**N/A

**Audience:**Teachers; Practitioners

**Language:**English

**Sponsor:**N/A

**Authoring Institution:**N/A