Abstract

TROUCHE, Luc. Understanding the work of teachers through their interaction with their teaching resources - a history of trajectories. Educ. mat. [online]. 2018, vol.30, n.3, pp.9-40.  Epub Feb 07, 2022. ISSN 2448-8089.  https://doi.org/10.24844/em3003.01.

This article shows, from a personal testimony, how the technological, conceptual, professional and human histories are intertwined and illustrate this interrelation from the trajectory of a resource. In the first section that testimony is presented. The second one exposes the conceptual framework in which our research is currently located. In the third, the mathematical problem that underlies our reflection is introduced. The fourth section is devoted to the implementation of this problem in a context of teacher training in France in 2002. The fifth section is intended to the analysis of the same problem in the context of a research seminar in Mexico in 2017. In the sixth section the tensions related to teacher training are highlighted, between "giving them tools to support their work in the classroom" and "giving them time so that, together, they can express their creativity". This article takes up, in particular, the terms of a seminar that was held at the Freudenthal Institute of Utrecht, at the invitation of Paul Drijvers (Trouche 2018A).

Keywords : Documentational approach to didactics; mathematical creativity; teacher training; instrumentation; instrumentalization; resource system.