User Centred Design in a Learning Environment Based on a Computer Algebra System

Abstract

Though they have not been designed for this usage, computer algebra systems are increasingly used in leaming situations. In order to improve their didactic capabilities we study the possibility to graft mathematics interactive leaming environments onto them. We present in this paper our design approach that relies on Human Computer Interaction methods and integrates mathematics leaming knowledge. This approach has been applied to design a leaming environment, caßed Limites, that helps students to study, work out and justi:ty Iimits ofrational functions. We present the main features ofthis environment, focusing on three points: algebraic expressions manipulation, conjectures and proofs.