Developing Thinking in Algebra / Edition 1

by John Mason, Alan Graham, Sue Johnston-Wilder

Overview

By integrating pedagogy and subject knowledge through experiencing a variety of tasks for learners, this book makes it possible for all learners to succeed in thinking algebraically.

Product Details

ISBN-13:	9781412911719
Publisher:	SAGE Publications
Publication date:	04/23/2005
Series:	Published in association with The Open University
Edition description:	New Edition
Pages:	336
Product dimensions:	6.69(w) x 9.53(h) x (d)

Table of Contents

PART ONE
First Encounters with Expressing Generality
Using Mathematical Powers; Meeting Mathematical Themes
Using Symbols
Depicting Relationships
PART TWO
More Experience of Expressing Generality
More on Powers, More on Themes
Symbol Manipulation
Changing Representations
PART THREE
Yet More Expressing Generality
Solving Problems
Reasoning
Graphs and Diagrams
PART FOUR
Themes and Structure
Powers, Constructs and Strategies
Final Reflections

Editorial Reviews

‘Mason, Graham, and Johnston-Wilder have admirably succeeded in casting most of school algebra in terms of generalization activity — not just the typical numerical and geometric pattern-based work, but also solving quadratics and simultaneous equations, graphing equations, and factoring. The authors raise our awareness of the scope of generalisation and of the power of using this as a lens not just for algebra but for all of mathematics!’ - Professor Carolyn Kieran, Département de Mathématiques, Université du Québec à Montréal

'This is an incredibly interesting and thought provoking book. Intended for anyone interested in developing their own mathematical thinking, or of the students they teach, whether at a primary level or right through to FE. The book is a delightful blend of theory and practice - encouraging the reader to participate, to solve problems and to develop their own thinking' - Peter Hall, Imberhorne School, East Grinstead

From the Publisher