A brief review on my studies: managing the complexity on using Linking Visual Active Representations (LVAR)

Investigating, managing, reflecting on, reading, reorganizing, conceiving, activating and implementing new ideas, notions and terms in the context of an extended research study lie at the core of creativity and innovation. The most important step after you have coined a new idea is to investigate the idea’s potential to be transformed into a successful implementation in class and in education more generally. In this paper, I present a brief review on the studies I have conducted since 2005 into the notion of linking visual active representations. In this context, I will also present a table which lists the new terms I have coined in association with the DGS environments, and listing the publications in which they were reported. In conclusion, I present my views on the contribution Dynamic Geometry systems have made to the construction of knowledge and to the learning and teaching of mathematics.