The Didactics of Mathematics: Approaches and Issues

1. Front Matter

   Pages i-x

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2. Introduction: Perspectives on Didactics of Mathematics through Michèle Artigue’s Contributions

   • Bernard R. Hodgson, Alain Kuzniak, Jean-Baptiste Lagrange

   Pages 1-13

3. Didactique Goes Travelling: Its Actual and Potential Articulations with Other Traditions of Research on the Learning and Teaching of Mathematics

   • Abraham Arcavi, Paolo Boero, Jeremy Kilpatrick, Luis Radford, Tommy Dreyfus, Kenneth Ruthven

   Pages 15-41

4. Networking Different Theoretical Perspectives

   • Ivy Kidron, Angelika Bikner-Ahsbahs

   Pages 43-55

5. Three Perspectives on the Issue of Theoretical Diversity

   • Brigitte Grugeon-Allys, Juan D. Godino, Corine Castela

   Pages 57-86

6. Conversion, Change, Transition… in Research About Analysis

   • Asuman Oktaç, Laurent Vivier

   Pages 87-121

7. Digital Technology and Mathematics Education: Core Ideas and Key Dimensions of Michèle Artigue’s Theoretical Work on Digital Tools and Its Impact on Mathematics Education Research

   • Carolyn Kieran, Paul Drijvers

   Pages 123-142

8. Digital Technology and Mathematics Education: The Teacher Perspective in Mathematics Education Research—A Long and Slow Journey Still Unfinished

   • Maha Abboud-Blanchard

   Pages 143-153

9. History of Science, Epistemology and Mathematics Education Research

   • Renaud Chorlay, Cécile de Hosson

   Pages 155-189

10. Inquiry-Based Education (IBE): Towards an Analysing Tool to Characterise and Analyse Inquiry Processes in Mathematics and Natural Sciences

    • Cécile Ouvrier-Buffet, Robin Bosdeveix, Cécile de Hosson

    Pages 191-217

11. The Researcher in the Wider Community

    • Jill Adler, Celia Hoyles, Jean-Pierre Kahane, Jean-Baptiste Lagrange

    Pages 219-237

12. Preparing Young Researchers in Mathematics Education: Beyond Simple Supervising

    • Mariam Haspekian, Rudolf Straesser, Ferdinando Arzarello

    Pages 239-252

13. Epilogue. A Didactic Adventure

    • Michèle Artigue

    Pages 253-269

This book, the outcome of a conference organised in 2012 in Paris as a homage to Michèle Artigue, is based on the main component of this event. However, it offers more than a mere reflection of the conference in itself, as various well-known researchers from the field have been invited to summarize the main topics where the importance of Artigue’s contribution is unquestionable. Her multiple interest areas, as a researcher involved in a wider community, give to this volume its unique flavour of diversity.



Michèle Artigue (ICMI 2013 Felix Klein Award, CIAEM 2015 Luis Santaló Award) is without doubt one of the most influential researchers nowadays in the field of didactics of mathematics. This influence rests both on the quality of her research and on her constant contribution, since the early 1970s, to the development of the teaching and learning of mathematics. Observing her exemplary professional history, one can witness the emergence, the development, and the main issues of didactics of mathematics as a specific research field.

• Michèle Artigue
• Research in the didactics of mathematics
• Didactical engineering
• Michèle Artigue's impact on mathematics education
• Digital tools and mathematics education
• Theoretical diversity in mathematics education
• Learning and teaching of mathematics
• Historical development of mathematics education

• Département de mathématiques et de statistique, Université Laval, Québec, Canada

  Bernard R Hodgson

• Laboratoire de Didactique André Revuz (EA 4434), Université Paris Diderot, Paris, France

  Alain Kuzniak

• Laboratoire de Didactique André Revuz (EA 4434), Université Champagne-Ardennes, Reims, France

  Jean-Baptiste Lagrange

Policies and ethics