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The theoretical and methodological model of Mathematical Working Space (MWS) is introduced in this paper. For over 10 years, the model has been the object of collaborative research among various researchers, generally coming from French and Spanish speaking countries. Articulating epistemological and cognitive aspects, the MWS model is aimed at providing a tool for the specific study of mathematical...
In the present study, we try to understand how students at the end of primary school conceive of angle: Is an angle a magnitude for them or a geometric figure, and how do they manage to coordinate the two aspects in their understanding of the concepts of angle and of angle measurement? With the aim of better grasping the way angle is conceptualized, we submitted to a 6th grade class (11–12 years old)...
While documentation work is at the core of teachers’ professional activity and professional development, this article argues for and illustrates the way in which documentation work is also central to the professional activity of design researchers. It has the double aim of contributing both to the documentational approach of didactics as well as to the literature on the teaching and learning of equivalence...
Résumé Le présent article rend compte de l’élaboration d’une grille d’analyse des problèmes de géométrie, et de sa mise à l’épreuve par la classification des problèmes et exercices de géométrie synthétique dans une collection de manuels du secondaire parmi les plus utilisées au Québec. Le cadre conceptuel sur lequel s’appuie cette élaboration s’inspire principalement des travaux de Balacheff (1987),...
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