
On the basis of various experiences in this area, the authors present in this article some re-flections on the training of teachers of mathematics. After taking certain general positions on some "controversial" issues in the current international debate, the authors focus their attention on the study of language, seen from various perspectives, and on the difference between the positions of Piaget and Vygotski with regard to this topic, proposing that arguments of this type should be part of the expertise of future lecturers, given that didactics makes up a part of the larger field of communication.