Construcción del concepto de dependencia lineal en un contexto de geometría dinámicaun estudio de casos

  1. Aranda López, Carmen
  2. Callejo de la Vega, María Luz
Journal:
RELIME. Revista latinoamericana de investigación en matemática educativa

ISSN: 1665-2436

Year of publication: 2010

Volume: 13

Issue: 2

Pages: 129-158

Type: Article

More publications in: RELIME. Revista latinoamericana de investigación en matemática educativa

Abstract

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.