Calculus Renewal Issues for Undergraduate Mathematics Education in t
Calculus Reform. Or, as many would prefer, calculus renewal. These are terms that, for better or worse, have become a part of the vocabulary in mathematics departments across the country. The movement to change the nature of the calculus course at the und
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Calculus Renewal Issues for Undergraduate Mathematics Education in the Next Decade
Edited by
Susan L. Ganter Clemson University Clemson, South Carolina
Springer Science+Business Media, LLC
Library of Congress Cataloging-in-Publication Data Ganter, Susan L. Calculus renewal: issues for the second decade 1 Susan L. Ganter. p.cm. Includes bibliographical references and index. ISBN 978-1-4419-3334-8 ISBN 978-1-4757-4698-3 (eBook) DOI 10.1007/978-1-4757-4698-3 I. Calculus--Study and teaching (Higher)--United States. I. Title. QA303.3 .G36 2000 515'.071 '1--dc21
99-055674
The diagram on the cover is based on a classroom demonstration given by Barbara Shipman while a graduate teaching assistant at the University of Arizona.
ISBN 978-1-4419-3334-8 ©2000 Springer Science+Business Media New York Originally published by Kluwer Academic I Plenum Publishers, New York in 2000 http://www.wkap.nl 10
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A c.I.P. record for this book is available from the Library of Congress. All rights reserved No part of this book 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
Contri butors
Jack Bookman 27708
Department of Mathematics, Duke University, Durham, NC
Alphonse Buccino Department of Mathematics (Emeritus), University of Georgia, Athens, GA 30602 Paul Davis Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, MA 01609 Wade Ellis 95070
Department of Mathematics, West Valley College, Saratoga, CA
Susan Ganter Department of Mathematical Sciences, Clemson University, Clemson, SC 29634 Melvin George Department of Mathematics (Emeritus), University of Missouri, Columbia, MO 65211 Sheldon Gordon Department of Mathematics, State University of New York at Farmingdale, Farmingdale, NY 11735 Harvey Keynes IT Center for Educational Programs, University of Minnesota, Minneapolis, MN 55455 James Lightbourne Division of Undergraduate Education, National Science Foundation, Arlington, VA 22230 William McCallum AZ 85721
Department of Mathematics, University of Arizona, Tucson,
Dan 0 'Loughlin IT Center for Educational Programs, University of Minnesota, Minneapolis, MN 55455
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Contributors
Andrea Olson IT Center for Educational Programs, University of Minnesota, Minneapolis, MN 55455 Douglas Shaw IT Center for Educational Programs, University of Minnesota, Minneapolis, MN 55455 David Smith
Department of Mathematics, Duke University, Durham, NC 27708
Preface
Calculus Reform. Or, as many would prefer, calculus renewal. These are terms that, for better or worse, have become a part of the vocabulary in mathematics departments across the country. The movement to change the nature of the calculus course at the undergraduate and secondary levels has sparked discussion and controversy in ways as diverse as the actual changes. Such interactions range from "coffee pot conversations" to university curriculum committee age
