Modeling of relationships between geometric quantities in an environment enriched with ICTs: activities for secondary school, designed in a collaborative group

Abstract

We present some of our research progress that address the didactical problem of integrating digital technologies in mathematics classes at the secondary level. We will refer to the instance of collaborative design for classroom activities around the study of geometrical magnitudes variation in a dynamical geometry environment. Among other issues, we set up: conditions to enable the distinction between a geometrical situation and its dynamical model in mathematical classroom, the emergence of a relationship between the logic of the software performance and the mathematical work that students can develop and, the workspace configuration of a dynamical geometry environment as a didactical variable.