DEPENDENCIA E INDEPENDENCIA LINEAL: UNA PROPUESTA DE ACTIVIDADES

In this paper we will show some experiences that we have in a class of Linear Algebra, where we propose activities that make the students to do representations of geometrical characters playing concepts of linear dependence and independence. These experiences have an exploratory character in the frame of qualitativeinvestigation and have been oriented to acquire different elements to the conventional that we can see when we give a conventional treatment to the study of these concepts. The design of the activities is based in the context of the geometrical representations, that will give us the elements to answer the problem of the acquisition of the concept of linear combination in a first moment and as a result in the second stage of this, theconcept of linear dependence and independence, recognizing in this, a special complexity do to its abstract character and this way, leading the students to geometrical scenarios, we can, from this explorations compile sings of comprehension or not of the concepts, and from this structure more precise questions about the feasibility of the acquisition of the concepts that we have recounted before in the visual representations as an alternative offer that can be used in the classroom