Leaders in Mathematics Education Experience and Vision

This book consists of interviews with the most important mathematics educators of our time. These interviews were originally published in the International Journal for the History of Mathematics Education and are now being offered to a wider readership fo

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Leaders in Mathematics Education: Experience and Vision

Edited by

Alexander Karp Teachers College, Columbia University With contributions by David Lindsay Roberts Prince George’s Community College

A C.I.P. record for this book is available from the Library of Congress.

ISBN: 978-94-6209-717-9 (paperback) ISBN: 978-94-6209-718-6 (hardback) ISBN: 978-94-6209-719-3 (e-book)

Published by: Sense Publishers, P.O. Box 21858, 3001 AW Rotterdam, The Netherlands https://www.sensepublishers.com/

Printed on acid-free paper

All Rights Reserved © 2014 Sense Publishers No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.

TABLE OF CONTENTS

History of Mathematics Education – Personal Perspectives

1

Chapter 1

Interview with Michèle Artigue

11

Chapter 2

Interview with Heinrich Bauersfeld

31

Chapter 3

Interview with Ubiratan D’Ambrosio

57

Chapter 4

Interview with Geoffrey Howson

69

Chapter 5

Interview with Celia Hoyles

87

Chapter 6

Interview with Jeremy Kilpatrick

101

Chapter 7

Interview with Henry Pollak

125

Chapter 8

Interview with Alan Schoenfeld

143

Chapter 9

Interview with Zalman Usiskin

167

Chapter 10

Interview with Alexey Werner

183

Chapter 11

Interview with Izaak Wirszup

197

v

ALEXANDER KARP

HISTORY OF MATHEMATICS EDUCATION – PERSONAL PERSPECTIVES (Instead of an introduction)

This book consists of interviews published in the International Journal for the History of Mathematics Education. When this journal first appeared in 2006, it was the only international scholarly periodical devoted to this field, and it remains so to this day. Interviews with major figures in mathematics education began to be conducted and published in the journal in 2007, becoming one of its regular features. Gradually, a certain stable set of questions developed, which were posed and discussed in the course of virtually every interview, though naturally discussion was usually not restricted to them alone. In this book, thanks to the kind permission of the journal's publisher, the Consortium for Mathematics and Its Applications (COMAP), it has been possible to reproduce virtually without changes all of the interviews published thus far. We expect that they may be of interest to a wide readership, including those readers whose interests are relatively far from the history of mathematics education. The journal plans to continue publishing interviews, and of course the list of people who may be considered leaders in mathematics education is not exhausted by those represented in the interviews in this book. The present volume offers its readers interviews with eleven different individuals— individuals with different lives, different interests, and different