Theory of semiotic mediation in teaching and learning linear algebra: In search of a viewpoint in the use of ICT

This paper presents a research project on the description of a linear algebra course within the perspective of the Theory of Semiotic Mediation (TSM), in order to construct mathematical meanings prioritizing artefact-sign (i.e., ICT tools) and social context relationships. I will first describe the project and, following a theoretical framework of the TSM, discuss a priori epistemological analysis of GeoGebra's potentiality to be used as an artefact to bring out key linear algebra concepts in future didactic interventions. I also present the results of a pilot study elaborating the potentiality of GeoGebra for students' construction of the mathematical meaning of free variables. Future steps of the project are also outlined.