Abstract

ARANDA, Carmen  and  CALLEJO, M. Luz. Construction of the Concept of Linear Dependence in a Context of Dynamic Geometry: A Case Study. Relime [online]. 2010, vol.13, n.2, pp.129-158. ISSN 2007-6819.

This article presents a teaching experiment in the domain of linear algebra in a context of dynamic geometry. It describes a hypothetical learning trajectory in order to construct the concept of linear dependence in terms of the mechanism of reflection on the effect-activity relationship. The results demonstrate that the simultaneous use of analytical and geometrical language, as well as the dynamic interaction with representation systems in a technological context, can encourage the generalizations required in order to develop reflexive abstraction processes that have a bearing on the creation of the concept of linear dependence.

Keywords : Linear dependence; dynamic geometry; teaching experiment; generalization process.