2005

Activity and Sign

Grounding Mathematics Education

Editors:

ISBN: 978-0-387-24269-9 (Print) 978-0-387-24270-5 (Online)

Table of contents (31 chapters)

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  1. Front Matter

    Pages I-VII

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    Book Chapter

    Pages 1-7

    Grounding Mathematics Education

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    Book Chapter

    Pages 9-22

    Mathematics, Sign and Activity

  4. Sign Processes

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      Book Chapter

      Pages 23-34

      Agency and Creativity in the Semiotics of Learning Mathematics

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      Book Chapter

      Pages 35-43

      The Semiotic Approach to Mathematical Evidence and Generalization

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      Book Chapter

      Pages 45-56

      Signs as Means for Discoveries

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      Book Chapter

      Pages 57-66

      Diagrammatic Thinking

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      Book Chapter

      Pages 67-76

      Notes on a Semiotically Inspired Theory of Teaching and Learning

  5. Sign Processes in the Mathematics Classroom

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      Book Chapter

      Pages 77-90

      Semiotic Mediation in the Primary School

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      Book Chapter

      Pages 91-104

      Do Mathematical Symbols Serve to Describe or Construct “Reality”?

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      Book Chapter

      Pages 105-115

      Metaphor and Metonymy in Processes of Semiosis in Mathematics Education

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      Book Chapter

      Pages 117-135

      On Practical and Theoretical Thinking and Other False Dichotomies in Mathematics Education

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      Book Chapter

      Pages 137-152

      The Semiotics of the Schema

  6. Mathematics Education as a Science

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      Book Chapter

      Pages 153-158

      Towards a Normal Science of Mathematics Education?

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      Book Chapter

      Pages 159-168

      The Study of the Didactical Conditions of School Learning in Mathematics

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      Book Chapter

      Pages 169-178

      The Formal, The Social and the Subjective

  7. Crossing Boundaries

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      Book Chapter

      Pages 179-190

      Reflective Learning

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      Book Chapter

      Pages 191-201

      Thinking and Knowing About Knowledge

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      Book Chapter

      Pages 203-214

      The Cognitive Unconscious

  8. History of Mathematics and Mathematics Education

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      Book Chapter

      Pages 215-228

      Hilbert, Weyl, and the Philosophy of Mathematics

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      Book Chapter

      Pages 229-239

      Mathematical Metaphors in Natorp’s Neo-Kantian Epistemology and Philosophy of Science

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