Why Teach Mathematics? A Focus on General Education
Seven years after its publication in Germany, this book is now available to English readers. In the German-speaking countries, the publication led to intense controversies on the significance, the goals, and the future development of mathematics instructi
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Mathematics Education Library VOLUME 33
Managing Editor A.J. Bishop, Monash University, Melbourne, Australia
Editorial Board J.P. Becker, Illinois, U.S.A. C. Keitel, Berlin, Germany G. Leder, Melbourne, Australia A. Sfard, Haifa, Israel O. Skovsmose, Aalborg, Denmark S. Turnau, Krakow, Poland
The titles published in this series are listed at the end of this volume.
WHY TEACH MATHEMATICS? A Focus on General Education
by
HANS WERNER HEYMANN Universitat Siegen, Germany
SPRINGER-SCIENCE+BUSINESS MEDIA, B.V.
Library of Congress Cataloging-in-Publication Data
ISBN 978-90-481-6504-9 ISBN 978-94-017-3682-4 (eBook) DOI 10.1007/978-94-017-3682-4
Printed on acid-free paper
All Rights Reserved © 2003 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2003 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.
CONTENTS
Preface to the English Edition………………………………………………... vii 1.
Introduction………………………………………………………………
An Outline of the Concept of General Education as a Frame of Reference………………………………………………… 2.1 Preparation for Later Life………………………………………………..
1
2.
2.2 2.3 2.4 2.5 2.6 2.7 2.8
3. 3.1 3.2 3.3 3.4
3.5
3.6 4.
Promoting Cultural Competence ...............………………………………………
7 9 22 35 44 58 64 70
Developing an Understanding of the World…………………………….. Development of Critical Thinking………………………………………. Developing a Willingness to Assume Responsibility.…………………... Practice in Communication and Cooperation…………………………… Enhancing Students’ Self-Esteem……………………………………….. Concluding Remarks on the Scope and Status of this Concept of General Education…………………………………… 81
Mathematics Instruction From the Perspective of General Education……………………………………………….…… 83 Mathematics Instruction and Preparation for Later life............................ 86 Mathematics Instruction and Cultural Competence……………………... 105 Developing an Understanding of the World in Mathematics Instruction………………………………... 131 Thinking, Understanding, and the Use of Critical Thinking in Mathematics Instruction…………………………… 153 Mathematics Instruction With Socio-ethical and Student-Related Objectives: Responsibility, Communication and Cooperation, Enhancing Students’ Self-Esteem……………………………………….. 195 Elements of a New Culture of Instruction………………………………. 208 A Profile of Mathematics Teaching as Part of a General Education……………………………………………………….. 225
Notes…………………………………………………………………………. 229 References……………………………………………………………………. 241 Index…………………………………………………………………………. 255
v
PREFACE TO THE ENGLISH EDITION
Seven years after its publication in Germany, this book is now available to English readers. In the German-speaking countries, the publication led to intense controvers
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