Solving problems with sum and intersetion of vectorial espace

Abstract

In this article, we approached a qualitative research carried out in the first semester of 2019, with students in continuous action of a discipline involving contents of Analytical Geometry and Linear Algebra. The purpose of this study was to develop the visualization processes of sum and intersection of vector subspaces, exploring geometric aspects through the Problem Solving Methodology - MRP. We intend, therefore to enable the participants who work both in the Basic School and in Higher Education methodological approaches in which they are effectively builders of knowledge. Three activities were proposed to be developed in the classroom, following steps indicated by well-established authors about MRP, as well as a problem on the same subject, to be solved outside the classroom and returned to the researcher. The results showed that, initially, participants did not explore visualization in the resolution steps of the first problem, but that they were used in the following steps. Finally, the evaluation stage, predicted to be the last of each of the problems, indicated that individuals judged the relevant activities in the context of continuing education in which they are inserted, and that the proposed methodology can be used, particularly if teach such content.