Description
Book SynopsisProblem 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.
Table of ContentsStrategies 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
