Modeling students' conceptions: The case of function

Nicolas Balacheff (1, 2) , Nathalie Gaudin (2)

1 LIG - Laboratoire d'Informatique de Grenoble
2 Leibniz - IMAG - Laboratoire Leibniz

We investigate the epistemological complexity of modeling stu-dents' knowing of mathematics with the goal of achieving models that acknowledge both the possible lack of coherency and the local efficiency of such knowing. We propose a model of " conception " as a possible tool to address the epistemological complexity we identify. We then provide an illustration of the usefulness of this model by exploring conceptions of " function " as a case in point.

Mots clés: cK¢; Student model; Calculus learning; Mathematics education

Domaines: Histoire et perspectives sur les mathématiques [math.HO]; Education

Nicolas Balacheff, Nathalie Gaudin. Modeling students' conceptions: The case of function. CBMS Issues in Mathematics Education, 2009, 16, pp.207 - 234. ⟨10.1090/cbmath/016/08⟩. ⟨hal-01557264⟩