Didactics of Mathematics as a Scientific Discipline

1. Front Matter

   Pages i-ix

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2. Preface

   Pages 1-8

3. Preparing Mathematics for Students

   • Bernard Winkelmann

   Pages 9-53

4. Teacher Education and Research on Teaching

   • Rolf Biehler

   Pages 55-116

5. Interaction in the Classroom

   • Rudolf Sträßer

   Pages 117-169

6. Technology and Mathematics Teaching

   • Bernard Winkelmann

   Pages 171-223

7. Psychology of Mathematical Thinking

   • Roland W. Scholz

   Pages 225-286

8. Differential Didactics

   • Roland W. Scholz

   Pages 287-326

9. History and Epistemology of Mathematics and Mathematics Education

   • Rolf Biehler

   Pages 327-397

10. Cultural Framing of Teaching and Learning Mathematics

    • Rudolf Sträßer

    Pages 399-455

11. Back Matter

    Pages 457-469

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Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field.
The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics.
Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.

• Mathematica
• didactics of mathematics
• education
• mathematics
• topology

• Institute for Didactics of Mathematics, University of Bielefeld, Germany

  Rolf Biehler, Roland W. Scholz, Rudolf Strässer, Bernard Winkelmann

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