Learning to define in Mathematics: a study from a sociocultural perspective

The process of building mathematical knowledge, as defined, are key activity of «doing mathematics». The characterization of their learning is an important topic in the field of research in mathematics education. In this paper we adopt a sociocultural perspective, through an inductive analysis identified different situations of learning. Such situations are characterized by the theoretical tools from the sociocultural perspective when groups of students solve tasks in a geometric context. The results show that certain routines play an important role in the processes of change in mathematical discourse.