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9780521867375

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

by
  • ISBN13:

    9780521867375

  • ISBN10:

    0521867371

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2008-01-21
  • Publisher: Cambridge University Press

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Summary

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.

Table of Contents

Introduction
Discourse on Thinking
Puzzling about mathematical thinking
Objectification
Commognition: thinking as communicating
Thinking in language
Mathematics as Discourse
Mathematics as a form of communication
Objects of mathematical discourse: what mathematizing is all about
Routines: how we mathematize
Explorations, deeds, and rituals: what we mathematize for
Looking back and ahead: solving old quandaries and facing new ones
Table of Contents provided by Publisher. All Rights Reserved.

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