Digital technologies and a modeling approach to learn mathematics and develop problem solving competencies

Abstract

This study is framed within a conceptual approach that integrates modeling, problem solving, and the use of digital technologies perspectives in mathematical learning. It focuses on the use of a Dynamic Geometry System (GeoGebra) to construct mathematical models as a means to represent and explore mathematical relationships. In particular, we analyze and document what ways of reasoning high school students exhibit as a result of working on a mathematical task in problem solving sessions. Results show that the students rely on a set of technology affordances to dynamically visualize, represent and explore mathematical relations. In this process, the students’ discussions became relevant not only to explain their approaches; but also to contrast, and eventually refine, their initial models and ways of reasoning.