This work presents a description of the phases to be developed in Phase I of the research project " development practices LEBEM in the period 2005-2012 " CRISALIDA research group , affiliated to the University District ; this time to those raised for research are described and activities already carried out in each one of them, about the documentary analysis being conducted in the didactic units built in this period , focusing on evidence that understandings and evolutions have been filed against the constituent elements of practice III " classroom management " and its role as a tool to support the teaching- learning of school mathematics .