Learning the practice of teaching: some contributions

The question of what should know and be able to find a math teacher, and what are the training processes that enable these purposes, has become a subject of discussion, differentiation, and research in national and international context. Since 2002, Universidad Distrital Francisco Jose de Caldas pro posed a teacher training curriculum for Basic Education with Emphasis in Mathematics, which while it has established itself as an innovation is under investigation. This paper presents an experience of some applications of conceptual tools produced in the conduct of investigations, focusing on the theme of the transition from arithmetic to algebra and in training students to become math teachers, all within in the framework of the paradigm of learning to teach. Escuchar.