Overview

This book confronts the issue of how young people can find a way into the world of algebra. The contributions represent multiple perspectives which include an analysis of situations in which algebra is an efficient problem-solving tool, the use of computer-based technologies, and a consideration of the historical evolution of algebra. The book emphasises the situated nature of algebraic activity as opposed to being concerned with identifying students' conceptions in isolation from problem-solving activity. The chapters emerged from a working group of the International Group for the Psychology of Mathematics Education. The authors are drawn from an international community and the work highlights the differences in school algebra around the world. The group invited Nicolas Balacheff to write a provocative postscript and he suggests that `there is no possible entrance to the world of algebra without a strong push or guidance from the teacher, because there is no natural passage from the problématique accessible from the child's world to the mathematical problématique'.

Full Product Details

Author:   Rosamund Sutherland ,  Teresa Rojano ,  Alan Bell ,  Romulo Lins
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 2001
Volume:   22
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9789048155224

ISBN 10:   9048155223
Pages:   278
Publication Date:   05 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Approaches to Algebra.- The Historical Origins of Algebraic Thinking.- The Production of Meaning for Algebra: A Perspective Based on a Theoretical Model of Semantic Fields.- A Model for Analysing Algebraic Processes of Thinking.- The Structural Algebra Option Revisited.- Transformation and Anticipation as Key Processes in Algebraic Problem Solving.- Historical-Epistemological Analysis in Mathematics Education: Two Works in Didactics of Algebra.- Curriculum Reform and Approaches to Algebra.- Propositions Concerning the Resolution of Arithmetical-Algebraic Problems.- Beyond Unknowns and Variables - Parameters and Dummy Variables in High School Algebra.- From Arithmetic to Algebraic Thinking by Using a Spreadsheet.- General Methods: A Way of Entering the World of Algebra.- Reflections on the Role of the Computer in the Development of Algebraic Thinking.- Symbolic Arithmetic vs Algebra the Core of a Didactical Dilemma.

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