The Future of the Teaching and Learning of Algebra The 12thICMI Study
This book presents a wide-ranging, international perspective on the state of the field of algebra from invited participants to the 12th ICMI Study Conference held in Melbourne, Australia in 2001. The authors are renowned academics from all around the worl
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New ICMI Study Series VOLUME 8 Published under the auspices of the International Commission on Mathematical Instruction under the general editorship of Hyman Bass‚ President
Bernard R. Hodgson‚ Secretary-General
The titles published in this series are listed at the end of this volume.
The Future of the Teaching and Learning of Algebra The 12th ICMI Study
edited by
Kaye Stacey Helen Chick Margaret Kendal The University of Melbourne‚ Australia
KLUWER ACADEMIC PUBLISHERS NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW
eBook ISBN: Print ISBN:
1-4020-8131-6 1-4020-8130-8
©2004 Springer Science + Business Media, Inc. Print ©2004 Kluwer Academic Publishers Boston All rights reserved No part of this eBook may be reproduced or transmitted in any form or by any means, electronic, mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America
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Contents vii
Preface Chapter 1
Solving the Problem with Algebra Kaye Stacey and Helen Chick
Chapter 2
The Core of Algebra: Reflections on its Main Activities 21 Carolyn Kieran
Chapter 3
Responses to ‘The Core of Algebra’ Laurinda Brown and Jean-Philippe Drouhard
35
Chapter 4
Working Group on Early Algebra The Early Development of Algebraic Reasoning: The Current State of the Field Romulo Lins and James Kaput
45
1
47
Chapter 5
Working Group on Approaches to Algebra A Toolkit for Analysing Approaches to Algebra The APPA Group‚ led by Rosamund Sutherland
Chapter 6
Working Group on Technological Environments 97 Research on the Role of Technological Environments in 99 Algebra Learning and Teaching Carolyn Kieran and Michal Yerushalmy
Chapter 7
Working Group on CAS and Algebra 153 Computer Algebra Systems and Algebra: Curriculum‚ 155 Assessment‚ Teaching‚ and Learning Michael O.J. Thomas‚ John Monaghan‚ and Robyn Pierce
Chapter 8
Working Group on Algebra History in Mathematics Education The History of Algebra in Mathematics Education Luis Puig and Teresa Rojano
Chapter 9
Working Group on Symbols and Language Symbols and Language Jean-Philippe Drouhard and Anne R. Teppo
71 73
187 189 225 227
vi
Chapter 10 Working Group on Teachers’ Knowledge and the Teaching of Algebra Teachers’ Knowledge and the Teaching of Algebra Helen M. Doerr
265 267
Chapter 11 Working Group on Teaching and Learning Tertiary Algebra The Teaching and Learning of Tertiary Algebra David Carlson
291 293
Chapter 12 Working Group on Goals and Content of an Algebra Curriculum for the Compulsory Years Goals and Content of an Algebra Curriculum for the Compulsory Years of Schooling Mollie MacGregor
311 313
Chapter 13 Algebra: A World of Difference Margaret Kendal and Kaye Stacey
329
Conference Participants
347
Index of Authors
355
Index
365
Preface
Kaye Stacey‚ Helen Chick‚ and Margaret Kendal The University of Melbourne‚ Australia
Abstract:
This section reports on the organisation‚
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