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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 articles2 documents

  • Ghislaine Gueudet, Ana Isabel Sacristan, Sophie Soury-Lavergne, Luc Trouche. Online paths in mathematics teacher training: new resources and new skills for teacher educators. ZDM Mathematics Education, 2012, 44 (6), pp.717-731. ⟨10.1007/s11858-012-0424-z⟩. ⟨hal-00701713⟩
  • 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⟩

Directions of work or proceedings2 documents

  • Luc Trouche, Hamid Chaachoua, Magali Hersant, Matheron Yves, Giorgos Psycharis. Faire ensemble des mathématiques : une approche dynamique de la qualité des ressourcespourl’enseignement. 2012. ⟨hal-02458077⟩
  • Ghislaine Gueudet, Birgit Pepin, Luc Trouche. From Text to 'Lived' Resources: Mathematics Curriculum Materials and Teacher Development. France. Springer, pp.363, 2012, Mathematics teacher education, 978-94-007-1966-8. ⟨hal-00842980⟩

Book sections2 documents

  • Ghislaine Gueudet, Luc Trouche. Teachers' work with resources: documentational geneses and professional geneses. Gueudet, G.; Pepin, B.; Trouche, L. From text to 'lived resources': curriculum material and mathematics teacher development, Springer, pp.23-41, 2012, Mathematics Teacher Education, ⟨10.1007/978-94-007-1966-8⟩. ⟨hal-00630315⟩
  • Ghislaine Gueudet, Luc Trouche. Communities, documents and professional geneses: interrelated stories. Gueudet, G., Pepin, B. & Trouche, L. From Text to 'Lived' resources: Mathematics Curriculum Material and Teacher Development, Springer, pp.305-322, 2012, Mathematics Teacher Education, ⟨10.1007/978-94-007-1966-8⟩. ⟨hal-00632742⟩

Conference papers4 documents

  • Luc Trouche. Lieux d’éducation associés à l’IFÉ, Nouveaux rôles, nouveaux outils, pour le développement des recherches en éducation et la diffusion de leurs ressources. Séminaire national des Lieux d'éducation associés à l'IFÉ, Institut français de l'éducation, Oct 2012, Lyon, France. ⟨hal-01565607⟩
  • Luc Trouche. Spurring teachers' collective work at a national level. Conférence finale du projet S-TEAM, Feb 2012, St Jacques de Compostelle., Spain. ⟨hal-01567265⟩
  • Luc Trouche. Révolution numérique et transformations de l’apprendre. Rencontres de l'Observatoire des Ressources Multimedia pour l’Education, CRDP Marseille, Mar 2012, Marseille, France. ⟨hal-01565608⟩
  • Ghislaine Gueudet, Luc Trouche. Manuels scolaires et transmission des savoirs : choix de concepteurs, en mathématiques. Transmission(s) entre pertes et profits, ISHS-UBO, Nov 2012, Brest, France. ⟨hal-01567369⟩