Critical Issues in Mathematics Education Major Contributions of Alan
Critical Issues in Mathematics Education presents the significant contributions of Professor Alan Bishop within the mathematics education research community. Six critical issues, each of which have had paramount importance in the development of mathematic
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Critical Issues in Mathematics Education Major Contributions of Alan Bishop
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Critical Issues in Mathematics Education
Philip Clarkson · Norma Presmeg Editors
Critical Issues in Mathematics Education Major Contributions of Alan Bishop
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Editors Philip Clarkson Faculty of Education Australian Catholic University Fitzroy VIC 3065 Australia [email protected]
ISBN: 978-0-387-09672-8
Norma Presmeg Illinois State University Department of Mathematics 313 Stevenson Hall Normal IL 61790-4520 USA [email protected]
e-ISBN: 978-0-387-09673-5
Library of Congress Control Number: 2008930313 c 2008 Springer Science+Business Media, LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper springer.com
Contents
Section I Introduction 1 Developing a Festschrift with a Difference . . . . . . . . . . . . . . . . . . . . . . . . Philip Clarkson and Norma Presmeg
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2 In Conversation with Alan Bishop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Philip Clarkson Section II Teacher Decision Making 3 Decision-Making, the Intervening Variable . . . . . . . . . . . . . . . . . . . . . . . . 29 Alan J. Bishop 4 Teachers’ Decision Making: from Alan J. Bishop to Today . . . . . . . . . . 37 Hilda Borko, Sarah A. Roberts and Richard Shavelson Section III Spatial Abilities, Visualization, and Geometry 5 Spatial Abilities and Mathematics Education – A Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 Alan J. Bishop 6 Spatial Abilities Research as a Foundation for Visualization in Teaching and Learning Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83 Norma Presmeg 7 Spatial Abilities, Mathematics, Culture, and the Papua New Guinea Experience . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 M.A. (Ken) Clements v
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Contents
Section IV Cultural and Social Aspects 8 Visualising and Mathematics in a Pre-Technological Culture . . . . . . . . . 109 Alan J. Bishop 9 Cultural and Social Aspects of Mathematics Education: Responding to Bishop’s Challenge . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 Bill Barton 10 Chinese Culture, Islamic Culture, and Mathematics Education . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135 Frederick Leung Section V Social and Political Aspect
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