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COSTA, Wanderleya N. G. The etnomathematics of the A’uwe-xavante soul in its relations with myths, 2007, 270p. Tese (Doutorado – Programa de Pós-Graduação em Educação. Área de Concentração: Ensino de Ciências e Matemática) Faculdade de Educação, Universidade de São Paulo, São Paulo, 2008. This research was developed on the basis of a question about the relationship involving etnomathematics, myths and rites of A'uwe-xavante indigenous people. Subjacent to it, was the aim of contributing to the teachers formation that will actuate in an environment where different people and cultures are involved daily and where it becomes important/necessary denaturalize discursive practices that contribute to the maintenance of marginal situation where many Brazilian indigenous people are immersed. To approach to the problem I made the choice of using some guiding principles suggested by Ferreira Santos (2004): the return to boundaries and limits, complexity, recurrence, autopoiesis, sensible reason, multidisciplinarity and human neotenia. I think that all these principles allow to question our thinking habits, to make problematic our habits, argue the intimate relationship between mythic thinking and logical-mathematical thinking, in opposition to the Cartesian separation between history and myth , as well as questioning mathematical rationalization as a model of thinking and of valuating human affectivity and diversity. On its turn, theoretical foundations are located on the study of Lévy-Bruhl, Piaget, and Vygotsky about the relationship among mind, body and environment. The discussion went on to debate the exposition and counterpoint of ideas about symbols, derived from Semiotics, from Psychology and Anthropology. Further, as a complementation to the historical studies of Spengler, some Greek cosmological myths, as also occidental/Christian and A'uwe-xavante ones. This analysis is developed around some categories appearing from myths themselves, from the works of Spengler and writings of Foucault. Some of the categories are: time, numbers, space, primal symbols, theogony and religion, power, true discourse and values, as others. It constitutes a conception of analysis able to consider many diverse categories, connected to the method and to the form of the report (that explores the metaphor of Labyrinth), that allows having in mind sociological, anthropological and narrative aspects, among others, from which emerged etnomathematics, identities, ways of submitting, disciplinary methods, discursive and non-discursive practices, sacred and profane referees , as well mythical and historical ones. I have concluded then that the etnomathematics of A'uwe-xavante – which has been called by myself as Etnomathematics Parinai’a is inextricably related to the myths and rites of the people that produces it. This acknowledge , as well the fact that the teaching that Mathematics brings, beyond knowledge, values, beliefs, myths, symbols and representations, that conform and assign us, dilacerate or strengthen, conducted me to suggest that a wider knowledge of Etnomathematics implies the study of the grounding myths. I suggest besides that the teacher or consultant acting by respect to the perspective and valuation of the different etnomathematics must highlight the subjacent miths. KEY-WORDS: 1. Indigenous Education 2. Xavante Indigenous/People 3. Etnomathematics 4. Mathematics – Study and teaching 4. Teacher Education 5. Myths

A etnomatemática da alma A' uwe-xavante em suas relações com os mitos.