Deux environnements pour l'apprentissage de l'algèbre : AlNuSet et APLUSIX

In the context of the European Project ReMath, we introduced new representations of algebraic expressions into two software tools Aplusix and AlNuSet. The purpose was to respond to didactical hypotheses concerning the importance of using registers of representation for learning algebra. In particular, we relied on the research of Duval (1993), Peirce (1998), and Sfard (1991) to frame our work. Different choices concerning representations were made in the two software tools that guided their development both internally and in terms of their interface structure. In this paper, we show how those theoretical frameworks shaped the design of both digital artifacts. Furthermore, we analyze how our choices affected the actions and feedback allowed in these tools. Finally, we present new types of tasks that these advanced artifacts allow one to perform.