Personal Geometrical Working Space: a Didactic and Statistical Approach

In this paper, we study answers that pre-service teachers gave in an exercise of Geometry. Our purpose is to gain a better understanding of what we call the geometrical working space (espace de travail géAoméAtrique). We first conduct a didactical study based on the notion of geometrical paradigms that leads to a classification of student's answers. Then, we use statistical tools to precise the previous analysis and explain students' evolution during their training.