This article aims at analyzing the present didactic and pedagogical trends for geometry teaching in elementary education, focusing on the work being developed by a study and research group on this knowledge field, at Universidade de São Francisco, a university in Itatiba, São Paulo. For this analysis, an exploring and investigatory task was selected. It involves the concepts of area and perimeter in a square. The task was developed cooperatively by the group and applied by some of its members, in their classrooms. We took a closer look at one of these experiences, carried out in a class of 7th graders from elementary school, under the responsibility of mathematics teacher Luci Mara, a member of the group and one of the authors of this article. The shared analysis of this experience in the group has highlighted the importance of considering the students' different ways of recording and discussing about their strategies, hypotheses and conclusions.
Geometry teaching; Exploratory and investigatory tasks; Discussion and proofs
