Doubling the side, doubling the area: Managing representation with a Geoboard tool

In this paper we analysed the ability of high school students to handle the representation of the squares and to construct new figures in Geoboard software. We proposed two questions to the students, in which they were asked to construct squares under certain conditions. We analysed the difficulties encountered and the strategies implemented framing them within Duval’s theoretical framework. Moreover, we focused the attention on the presence of an intuitive rule that guided the resolution process compromising the solution of the tasks and which processes are involved in the handling of the representation of geometric figures.