Visualizing Mathematics at University? Examples from Theory and Practice of a Linear Algebra Course

Abstract

With this communication, I will try to promote a discussion on visualization adapted to university level: how I understand it, why may it be important to understand advanced mathematics and, mainly, how it is currently taught. With this aim, five examples-obtained by the observation and my reflective practice in a Linear Algebra course-will be presented. The analysis of these episodes will enable to go deeper into some issues of visualization, relevant in this particular context: characteristics of visualization, some obstacles and opportunities of teaching visualization and some actions needed to improve the teaching of visualization at university level.