Didactics of Mathematics as a Scientific Discipline - R. Biehler, et al., (Kluwer, 2002) WW.pdf

DIDACTICS OF MATHEMATICS AS A SCIENTIFIC DISCIPLINE
Mathematics Education Library
VOLUME 13
Managing Editor
. Bishop, Monash University, Melbourne, Australia
Editorial Board
H. Bauersfeld, Bielefeld, Germany
J. Kilpatrick, Athens, .
G. Leder, Melbourne, Australia
S. Turnau, Krakow, Poland
G. Vergnaud, Paris, France
The titles published in this series are listed at the end of this volume.
DIDACTICS OF MATHEMATICS
AS A SCIENTIFIC DISCIPLINE
Edited by
ROLF BIEHLER
ROLAND W. SCHOLZ
RUDOLF STRÄSSER
BERNARD WINKELMANN
Institute for Didactics of Mathematics,
University of Bielefeld, Germany
KLUWER ACADEMIC PUBLISHERS
NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW
eBook ISBN: 0-306-47204-X
Print ISBN: 0-7923-2613-X
©2002 Kluwer Academic Publishers
New York, Boston, Dordrecht, London, Moscow
Print ©1994 Kluwer Academic Publishers
Dordrecht
All rights reserved
No part of this eBook may be reproduced or transmitted in any form or by any means, electronic,
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Created in the United States of America
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Dedicated to Hans- Steiner.
R. B., R. W. S., R. S., B. W.
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TABLE OF CONTENTS
Preface
1
1. PREPARING MATHEMATICS FOR STUDENTS
Introduction
Bernard Winkelmann 9
Eclectic approaches to elementarization: Cases of curriculum
construction in the United States
James T. Fey 15
Didactical engineering as a framework for the conception
of teaching products
Michèle Artigue 27
Mathematical curricula and the underlying goals
Uwe-Peter Tietze 41
2. TEACHER EDUCATION AND RESEARCH ON TEACHING
Introduction
Rolf Biehler 55
Reflections on mathematical concepts as starting points
for didactical thinking
Hans-Joachim Vollrath 61
Beyond subject matter: A psychological topology of teachers'
professional knowledge
Rainer Bromme 73
Dialogue