The research aimed to describe through the reflection of the teachers in initial formation and the graduates of a program that forms teachers of Mathematics the pedagogical practice of the trainer of trainers as a communicative action in their relationship with Research in Mathematics Education. In order to collect the information, non-participant observations, field diaries, surveys, focus groups and interviews were implemented. Results allow us to conclude that mathematics undergraduate programs require adjustments in research lines, referring to the personnel who lead them with the required profile by Colciencias, as well as providing spaces in the program in which teachers show significant experiences according to curriculum and area in which they work as researchers: projects, articles, books, to stimulate and motivate teachers in initial formation to investigate their own praxis.