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Cover image for Meaning in mathematics education
Title:
Meaning in mathematics education
Series:
Mathematics education library ; 37
Publication Information:
New York, NY : Springer, 2005
ISBN:
9780387240398
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30000010118941 QA11.2 M42 2005 Open Access Book Book
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30000010078042 QA11.2 M42 2005 Open Access Book Book
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30000010078041 QA11.2 M42 2005 Open Access Book Book
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Summary

Summary

This book is a product of the BACOMET group, a group of educators-mainly educators of prospective teachers of mathematics-who first came together in 1980 to engage in study, discussion, and mutual reflection on issues in mathematics education. BACOMET is an acronym for BAsic Components of Mathematics Education for Teachers. The group was formed after a series of meetings in 1978-1979 between Geoffrey Howson, Michael Otte, and the late Bent Christiansen. In the ensuing years, BACOMET initiated several projects that resulted in published works. The present book is the main product of the BACOMET project entitled Meaning and Communication in Mathematics Education. This theme was chosen because of the growing recognition internationally that teachers of mathematics must deal with questions of meaning, sense making, and communication if their students are to be proficient learners and users of mathematics. The participants in this project were the following: Nicolas Balacheff (Grenoble, France) Maria Bartolini Bussi (Modena, Italy) Rolf Biehler (Bielefeld, Germany) Robert Davis (New Brunswick, NJ, USA) Willibald Dorfler (Klagenfurt, Austria) Tommy Dreyfus (Holon, Israel) Joel Hillel (Montreal, Canada) Geoffrey Howson (Southampton, England) Celia Hoyles-Director (London, England) Jeremy Kilpatrick-Director (Athens, GA, USA) Christine Keitel (Berlin, Germany) Colette Laborde (Grenoble, France) Michael Otte (Bielefeld, Germany) Kenneth Ruthven (Cambridge, England) Anna Sierpinska (Montreal, Canada) Ole Skovsmose-Director (Aalborg, Denmark) Conversations about directions the project might take began in May 1993 at a NATO Advanced Research Workshop of the previous BACOMET project in VIII PREFACE


Table of Contents

Preface
Introduction
Meanings of Meaning of Mathematics
"Meaning" and School Mathematics
The Meaning of Conics: Historical and Didactical Dimensions
Reconstruction of Meaning as a Didactical Task: The Concept of Function as an Example
Meaning in Mathematics Education
Collective Meaning and Common Sense
Mathematics Education and Common Sense
Communication and Construction of Meaning
Making Mathematics and Sharing Mathematics: Two Paths to Co-Constructing Meaning?
The Hidden Role of Diagrams in Pupils' Construction of Meaning in Geometry
What's a Best Fit? Construction of Meaning in a Linear Algebra Session
Discoursing Mathematics Away
Meaning and Mathematics
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