Un logiciel pour apprendre à résoudre des exercices de dénombrement

Combien? a Software to Teach Students How to Solve Combinatorics Exercises Françoise LE CALVEZ*, Hélène GIROIRE**, Jacques DUMA***, Gérard TISSEAU**, Marie URTASUN* *CRIP5, Université René DESCARTES, UFR de Mathématique et Informatique, 45 rue des Saints Pères, 75270 Paris Cedex 06, ** Equipe SysDeF - LIP6,Université Paris6, Boîte 169, Tour 46-0 2° étage 4 Place Jussieu, 75252 Paris Cedex 05, France *** Lycée technique Jacquard,2 rue Bouret, 75019 Paris, France Abstract : In the Combien? (How Many?) project, we built pedagogical interfaces to help students to learn combinatorics. In this paper, we situate combinatorics teaching in the French curriculum and define a pedagogical objective. Then, we present the solving method on which the interfaces are based. Combinatorics problems are classified according to their solving schemata. Each interface corresponds to a class of problems. It allows the student to build a solution and detects the errors incrementally. Then, we show the pedagogical progression inherent to the use of these interfaces. Finally we describe the experiments in different contexts (learners, teachers). Keywords : Learning environment, pedagogical interface, modelling, problem solving, error detection, experiment, combinatorics. Introduction The objective of the “Combien?” group is to define methodology for use in designing the various components of an ITS. This project involves building a pedagogical system to help ...