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Luc Trouche, emeritus professor in mathematics education

Luc Trouche was, from 1974 to 1999, professor of mathematics in middle school then in high school in Montpellier. He was afterwards lecturer in the mathematics department of the University of Montpellier, then, from 2005, professor at the INRP and after at the French Institute of Education (ENS de Lyon). Since 2019, he has been professor emeritus of the École normale supérieure de Lyon.

He first became interested in the integration of digital technologies in the teaching of mathematics, from his doctorate led by Dominique Guin. In particular, he studied the interactions between the instrumentation process and the conceptualization processes. This study led him to analyze the role of the professor, introducing the notion of instrumental orchestration to model the management, by the professor, of the artefacts available in the environment to implement a given mathematical situation. This concept was further developed with Paul Drijvers.

Since then, he has been interested in the teacher's role as designer, in relation to the development of his knowledge, in a moment of proliferation of digital resources. This perspective led him to develop, with Ghislaine Gueudet and later Birgit Pepin, the documentational approach to didactics. In this context, it analyzes the work of teachers through interactions with the resources of their teaching. From this perspective, the notion of the teacher's resource system appears crucial to understanding the development of teachers' knowledge and the consistency of their activity.

Analyzing the interactions of teachers with resources naturally leads to an interest in their collective work. Indeed, the digitalization of communication and information leads to the emergence of more or less formal work collectives: networks, associations, communities, inside or outside schools. Studying the interactions between individual and collective resource systems provides means for understanding the dynamics of this collective work and for rethinking how to support the professional development of actors in a moment of metamorphosis of learning and teaching environments.

The Re(s)sources conference, in May 2018, was a good opportunity to deepen the questions at stake in this research trajectory. It gave rise to a book, published in 2019 by Springer: The 'Resource' Approach to Mathematics Education. A scientific day was organized in June 2019, on the occasion of his retirement and to start a new period (3 years) as professor emeritus.

Current research project: the Documentational Approach to Didactics Multilingual Project 


Journal articles3 documents

  • Ghislaine Gueudet, Birgit Pepin, Luc Trouche. Collective work with resources: an essential dimension for teacher documentation. ZDM Mathematics Education, 2013, 45 (7), pp.1003-1016. ⟨10.1007/s11858-013-0527-1⟩. ⟨hal-00852388⟩
  • Birgit Pepin, Ghislaine Gueudet, Luc Trouche. Re-sourcing teachers' work and interactions: a collective perspective on resources, their use and transformation. ZDM Mathematics Education, 2013, 45 (7), pp.929-943. ⟨10.1007/s11858-013-0534-2⟩. ⟨hal-00855616⟩
  • Birgit Pepin, Ghislaine Gueudet, Luc Trouche. Investigating textbooks as crucial interfaces between culture, policy and teacher curricular practice: two contrasted case studies in France and Norway. ZDM Mathematics Education, 2013, 45 (5), pp.685-698. ⟨10.1007/s11858-013-0526-2⟩. ⟨hal-00852395⟩

Book sections2 documents

  • Ghislaine Gueudet, Luc Trouche, Hussein Sabra. Des technologies aux ressources numériques, genèses d'usages et genèses documentaires.. J.-B. Lagrange. Les technologies numériques pour l'enseignement - Usage, dispositif et genèses., Toulouse : Octarès, pp.206-224, 2013, 9782366300161. ⟨hal-00911869⟩
  • Luc Trouche, Paul Drijvers, Ghislaine Gueudet, Ana Isabel Sacristan. Technology-Driven Developments and Policy Implications for Mathematics Education. M. A. (Ken) Clements, A. J. Bishop, C. Keitel, J. Kilpatrick, & F. K. S. Leung. Third International Handbook of Mathematics Education, Springer, pp.753‑789, 2013, Springer International Handbooks of Education. ⟨hal-00768217⟩

Conference papers4 documents

  • Ghislaine Gueudet, Birgit Pepin, Luc Trouche. Textbooks design and digital resources. ICMI study 22 - Task design in mathematics education, ICMI, 2013, Oxfors, United Kingdom. pp.327-338. ⟨hal-01145640⟩
  • Luc Trouche, Catherine Loisy. L'IFÉ et les ESPÉ : un partenariat pour l'éducation, la formation et la recherche. Les LéA, comme pierre d'angle de ce partenariat.. Séminaire " Formation au et par le numérique dans les masters MEEF ", Jul 2013, Montpellier, France. ⟨hal-00848220⟩
  • Birgit Pepin, Ghislaine Gueudet, Luc Trouche. Collaborative work with resources and teacher professional development. Re-sourcing mathematics teacher work and knowledge: new perspectives on resource design, use and teacher collaboration, AERA 2013, Apr 2013, San Francisco, United States. ⟨hal-01567270⟩
  • Luc Trouche. Métamorphoses du numérique et métamorphoses de l’apprendre. Journée du numérique 64, Jan 2013, Hendaye, France. ⟨hal-01565606⟩

Reports1 document

  • Sophie Soury-Lavergne, Ghislaine Gueudet, Catherine Loisy, Luc Trouche. Le travail collectif et les pratiques réflexives au coeur des dispositifs hybrides de formation : de Paiform@nce à M@gistère. [Rapport de recherche] IFE - ENS de Lyon. 2013. ⟨hal-00988917⟩