The Pendulum Scientific, Historical, Philosophical and Educational P
The pendulum is a universal topic in primary and secondary schools, but its full potential for learning about physics, the nature of science, and the relationships between science, mathematics, technology, society and culture is seldom realised. Contribut
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The Pendulum Scientific, Historical, Philosophical and Educational Perspectives
Edited by
MICHAEL R. MATTHEWS University of New South Wales, Sydney, Australia
COLIN F. GAULD University of New South Wales, Sydney, Australia and
ARTHUR STINNER University of Manitoba, Winnipeg, Canada
Partly reprinted from Science & Education, Vol. 13, Nos. 4-5; and Vol. 13, Nos. 7-8.
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN-10 ISBN-13 ISBN-10 ISBN-13
1-4020-3525-X ( HB) 978-1-4020-3525-8 ( HB) 1-4020-3526-8 ( e-book) 978-1-4020-3526-5 (e-book)
Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands. www.springeronline.com
Printed on acid-free paper
All Rights Reserved © 2005 Springer 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. Printed in the Netherlands.
Table of Contents
Introduction MICHAEL R. MATTHEWS, COLIN GAULD and ARTHUR STINNER / The Pendulum: Its Place in Science, Culture and Pedagogy
1
Scientific Perspectives RANDALL D. PETERS / The Pendulum in the 21st Century-Relic or Trendsetter
19
RONALD NEWBURGH / The Pendulum: A Paradigm for the Linear Oscillator
37
KLAUS WELTNER, ANTONIO SERGIO C. ESPERIDIÃO, ROBERTO FERNANDES SILVA ANDRADE and PAULO MIRANDA / Introduction to the Treatment of Non-Linear Effects Using a Gravitational Pendulum
49
CÉSAR MEDINA, SANDRA VELAZCO and JULIA SALINAS / Experimental Control of a Simple Pendulum Model
67
RANDALL D. PETERS / Soup-can Pendulum
77
NORMAN PHILLIPS / What Makes the Foucault Pendulum Move Among the Stars?
89
Historical Perspectives PETER MACHAMER and BRIAN HEPBURN / Galileo and the Pendulum: Latching on to Time
99
COLIN GAULD / The Treatment of Cycloidal Pendulum Motion in Newton’s Principia
115
ZVI BIENER and CHRIS SMEENK / Pendulums, Pedagogy, and Matter: Lessons from the Editing of Newton’s Principia
127
COLIN GAULD / The Treatment of the Motion of a Simple Pendulum in Some Early 18th Century Newtonian Textbooks
139
v
vi
TABLE OF CONTENTS
PIERRE J. BOULOS / Newton’s Path to Universal Gravitation: The Role of the Pendulum
151
AMIR D. ACZEL / Léon Foucault: His Life, Times and Achievements
171
FABIO BEVILACQUA, LIDIA FALOMO, LUCIO FREGONESE, ENRICO GIANNETTO, FRANCO GIUDICE and PAOLO MASCHERETTI / The Pendulum: From Constrained Fall to the Concept of Potential Energy
185
Philosophical Perspectives MICHAEL R. MATTHEWS / Idealisation and Galileo’s Pendulum Discoveries: Historical, Philosophical and Pedagogical Considerations
209
ROBERT NOLA / Pendula, Models, Constructivism and Reality
237
LOUIS B. ROSENBLATT / The Poet and the Pendulum
267
AGUSTÍN ADÚRIZ-BRAVO A / Methodology and Politics: A Proposal to Teach the
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