A Cognitive Analysis of Geometry Proof Focused on Intelligent Tutoring Systems

The elaboration of an Intelligent Tutoring System in geometry proof requires a model of geometry proof problem solving. Actually, the development of these models is still directed by the system’s processes and not by a study of human behaviour. Here we present elements of a cognitive and didactical analysis of proof in geometry that must be taken in account in such a model. This study was carried out with mathematic teachers (GIA: Artificial Intelligence group, IREM Strasbourg).