This thesis presents the results achieved by a qualitative research developed with ethnographical emphasis, which the objective is analyzing as formative practices, mobilized in continued training processes of teachers who teaches mathematics may make viable a teaching that considers, besides science, the context, the experience, the produced knowledge and the present forms of teaching and learning in river side dwellers communities as inherent elements in formation of a local subject and simultaneously global. The research employees are 8 (eight) teachers who teach mathematics in initial grades of Elementary School, in river side dweller schools of the Amazon State and Pará. The data are built with the information obtained by the teacher life stories and their training, and listening moments and MED-dialogues, circle of dialogues, elaboration of drawings and formative practices realized in the context where the teachers work. The theoretical foundation permeates all the text and it presents from the ideas and theories of thinkers such as Edgar Morin, Pascal Galvani, Marie-Christine Josso, Nóvoa, D’Ambrosio, among others. The results of my insertion into the reality experienced professionally by research collaborators based on theoretical contributions of Complexity, the Transdisciplinary and mathematics education allow me to make the case that when the continuing education takes place in a reflective and dialogic manner, situated in the context where teacher action takes place, extends the possibilities of strengthening relations with the mathematical knowledge enabling its embodiment in educational actions, it enables the development of transdisciplinary practices and provides a self-training the trainer teacher.
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