On Systemic Perspective and the Strategies in E-learning: Inquiries in Linear Algebra

There is presented a teaching experience described by means of some theoretic elements of the Ontosemiotic Approach. We propose a series of problem-situations of exploration type which require an integral approach to intra-mathematical inquires, with investigation objectives, which involve applications of theoretical constructions and methods on the junctions in standard courses, in another environment. Our strategy is to design a series of theoretical questions, which lead to research activity, and to carry the students toward systemic perspective of mathematical practices through the practices of unitary perspective. We consider the Ontosemiotic Approach as an adequate theoretical framework which allows us to analyse the learning process in the e-modality of Linear Algebra course in order to arrange the activities so that the students would achieve the deeper comprehension of the most important concepts and their mutual relations.