A Journey in Mathematics Education Research: Insights from the Work of Paul Cobb

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This book presents ideas developed by Paul Cobb and his colleagues that have significantly influenced the field of mathematics education over the past three decades. In this volume, they are brought together for readers to present a clear view of how the field has changed during that time. During his career Cobb moved from looking at a single child's mathematical reasoning, to a class learning a particular mathematical topic, to a group of school teachers, and to a school district with all its teachers, teachers' teachers and principals. It was his wish to make a real difference and his constantly revised understanding of what it takes to do so that dictated this gradual broadening of the unit of analysis. This development is presented in this book with the help of chronologically organized previously published papers, each of which represents a distinct stage in this intellectual journey and is preceded by a new commentary that sheds additional light on the processes of reconceptualization and thus helps the reader to understand the reasons, mechanisms, and outcomes of researchers’ constant pursuit of new insights. This book thus demonstrates how research develops and evolves when theory and practice are taken as mutually informing aspects of the researcher’s work. In this sense, the volume is relevant to audiences primarily interested in practical aspects of mathematics education as well as to those whose primary interests lie in theoretical developments.

Author(s): Erna Yackel, Koeno Gravemeijer (auth.), Anna Sfard, Koeno Gravemeijer, Erna Yackel (eds.)
Series: Mathematics Education Library 48
Edition: 1
Publisher: Springer Netherlands
Year: 2011

Language: English
Pages: 248
Tags: Mathematics Education

Front Matter....Pages i-xxiv
Introduction....Pages 1-5
Front Matter....Pages 7-7
Introduction....Pages 9-17
The Constructivist Researcher as Teacher and Model Builder....Pages 19-30
Front Matter....Pages 31-31
Introduction....Pages 33-40
Young Children’s Emotional Acts While Engaged in Mathematical Problem Solving....Pages 41-71
Front Matter....Pages 73-73
Introduction....Pages 75-84
Learning from Distributed Theories of Intelligence....Pages 85-105
Front Matter....Pages 107-107
Introduction....Pages 109-115
Participating in Classroom Mathematical Practices....Pages 117-163
Front Matter....Pages 165-165
Introduction....Pages 167-177
Culture, Identity, and Equity in the Mathematics Classroom....Pages 179-195
Front Matter....Pages 197-197
Introduction....Pages 199-206
The Collective Mediation of a High-Stakes Accountability Program: Communities and Networks of Practice....Pages 207-230
Epilogue: On the Importance of Looking Back....Pages 231-239
Back Matter....Pages 241-246