Thinking as Communicating: Human Development, the Growth of Discourses, and Mathematizing

Front Cover
Cambridge University Press, Jan 21, 2008 - Psychology
This book is an attempt to change our thinking about thinking. Anna Sfard undertakes this task convinced that many long-standing, seemingly irresolvable quandaries regarding human development originate in ambiguities of the existing discourses on thinking. Standing on the shoulders of Vygotsky and Wittgenstein, the author defines thinking as a form of communication. The disappearance of the time-honoured thinking-communicating dichotomy is epitomised by Sfard's term, commognition, which combines communication with cognition. The commognitive tenet implies that verbal communication with its distinctive property of recursive self-reference may be the primary source of humans' unique ability to accumulate the complexity of their action from one generation to another. The explanatory power of the commognitive framework and the manner in which it contributes to our understanding of human development is illustrated through commognitive analysis of mathematical discourse accompanied by vignettes from mathematics classrooms.
 

Contents

Section 1
3
Section 2
6
Section 3
34
Section 4
65
Section 5
94
Section 6
127
Section 7
163
Section 8
165
Section 10
175
Section 11
195
Section 12
196
Section 13
198
Section 14
213
Section 15
222
Section 16
261
Section 17
277

Section 9
168

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About the author (2008)

Anna Sfard's research focuses on the development of mathematical discourses in individual lives and in the course of history. In a series of studies in Israel, Canada, and the United States, she has been investigating the development of mathematical thinking in both history and individual learning. Results of these studies, both theoretical and empirical, have been published in more than 100 articles and edited volumes, many of which have been widely cited. The recipient of the 2007 Freudhental Medal for research in mathematics education, she is a Professor of Mathematics Education at the University of Haifa, the first holder of the Lappan-Phillips-Fitzgerald endowed chair in Michigan State University, and a Visiting Professor at the Institute of Education in London.

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