文档介绍：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
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eBook ISBN: 0-306-47204-X
Print ISBN: 0-7923-2613-X
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Dedicated to Hans- Steiner.
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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 between theory and practice in mathe