The aim of this study is to give visibility to the construction of a conceptual cartography, in which it is possible to analyse the movement of the supervised training program as a teachers' formation politics, as well as to make evident the contributions of the intervention-research and cartography for the teachers' formation area. For this purpose, a conceptual and methodological construction are presented in the discussion by means of the cartography and the intervention-research; the analysis of the log books, both from the teacher as the students, and the notes created during the school semester. Within this context of analysis, the inventive formation is discussed by means of existence aesthetics constitution and the political problem of supervised training during teacher's formation, taking this problem under a micropolitical dimension. It can be concluded that these are tools for facing the complexity of the school, taking it as the constitution of a territory in movement, that struggles to be a factory and user of a living knowledge.
intervention-research; cartography; supervised trainee program; inventive teacher's formation; cognitive politics