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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 


"Paul Drijvers"   

Journal articles4 documents

  • Paul Drijvers, Sébastian Grauwin, Luc Trouche. When bibliometrics met mathematics education research: the case of instrumental orchestration. ZDM, Springer Verlag, 2020, 1, ⟨10.1007/s11858-020-01169-3⟩. ⟨hal-02711068⟩
  • Luc Trouche, Paul Drijvers. Webbing and orchestration. Two interrelated views on digital tools in mathematics education. Teaching Mathematics and its Applications, Oxford University Press (OUP): Policy A - Oxford Open Option A, 2014, 33 (3), pp.193-209. ⟨10.1093/teamat/hru014⟩. ⟨hal-01054728⟩
  • Paul Drijvers, Juan D. Godino, Vincenç Font, Luc Trouche. One episode, two lenses. A reflective analysis of student learning with computer algebra from instrumental and onto-semiotic perspectives. Educational Studies in Mathematics, Springer Verlag, 2012, 82, pp.23-49. ⟨10.1007/s10649-012-9416-8⟩. ⟨hal-00842844⟩
  • Luc Trouche, Paul Drijvers. Handheld technology for mathematics education: flashback into the future. ZDM Mathematics Education, 2010, 42 (7), pp.667-681. ⟨10.1007/s11858-010-0269-2⟩. ⟨hal-01538694⟩

Book sections2 documents

  • 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⟩
  • Paul Drijvers, Luc Trouche. From artifacts to instruments: a theoretical framework behind the orchestra metaphor. K. Heid & G. Blume Research on Technology and the Teaching and Learning of Mathematics, Information Age, pp.363-392, 2008. ⟨hal-01538695⟩

Conference papers2 documents

  • Bärbel Barzel, Paul Drijvers, Luc Trouche. Technology in mathematics education: A flashback towards the future. Sharing Inspiration, Exchanges between European TI-Nspire Pilot Network Teachers, Mar 2007, Bruxelles, Belgium. ⟨hal-01567267⟩
  • Barzel Bärbel, Paul Drijvers, Michela Maschietto, Luc Trouche. Tools and technologies in mathematical didactics. Congress of the European Society for Research in Mathematics Education, FUNDEMI IQS – Universitat Ramon Llull, Feb 2005, Sant Feliu de Guíxols, Spain. pp.927-938. ⟨hal-01558634⟩

Reports1 document

  • Paul Drijvers, John Monaghan, Mike Thomas, Luc Trouche. Use of Technology in Secondary Mathematics : Final Report for the International Baccalaureate. [Research Report] International Baccalaureate. 2014. ⟨hal-01546747⟩