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

by Alfred S. Posamentier (Editor), Wolfgang Schulz (Editor)

Overview

Problem solving has always been a fundamental element of mathematics. This innovative book challenges the perception that solving a problem is merely a means to an end. Focusing on problem solving as a subject in its own right, the contributors present a broad range of practical, theoretical, simple, intricate and purely mathematical examples.

Product Details

ISBN-13:	9780803963627
Publisher:	SAGE Publications
Publication date:	12/04/1995
Series:	Teacher Support and Retention Series
Edition description:	New Edition
Pages:	480
Product dimensions:	7.00(w) x 10.00(h) x (d)

About the Author

Alfred S. Posamentier is professor of mathematics education and dean of the School of Education at the City College of the City University of New York. He has authored and co-authored several resource books in mathematics education for Corwin Press.

Table of Contents

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 Troják
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