A proposal for joints between vector algebra and GeoGebra

Abstract

In this work, we present some productions from a mini-course carried out in an event directed to graduates and teachers of mathematics in Basic Education. However, only students enrolled in this activity. The short course proposal was based on a study of the transit between the different vector representations in the numerical, algebraic and geometric domains, subsidized by the GeoGebra software, in order to point out ways for the establishment of assumptions of the emerging Paradigm of Questioning the World, whose pillars are based on the awakening of a prospective vision that opposes the Paradigm of Visiting Works. In this perspective, we take as theoretical support the Anthropological Theory of Didactics - ATD, which has one of the foundations centered on the analysis of mathematical didactic activities around a specific praxeological modeling, through the interaction between the practical and theoretical blocks. The activities were planned and developed considering tasks that are usually dealt with in classes or assessments of vector theory in the plan, aiming to point out directions for integrating the software into classes that address vector algebra. In terms of results, we identified that the participants abandoned the static and supporting position imposed by the traditional teaching model and assumed a leading role in the activities developed, both in the “pencil paper” environment and in the virtual environment, thus contributing to the formation of future mathematics teachers who question and not just visit works.