Fabulações e modelos ou como políticas cognitivas operam em educação matemática

Abstract

This dissertation is the result of a research that aims to investigate how cognitive policies operate in Mathematics Education. For this, we as intercessors, the notion of cognition inventive proposal by Virginia Kastrup and more closely two models commonly used in the area: the Theory of Conceptual Fields, of Gerard Vergnaud, and the Model of Semantic Fields, of Rômulo Lins. The dissertation unfolds into two books. In one of their fabulations are made from the mathematics’s classroom, operating with models of learning and cognition with which this research dialogues. These fabulations are narrative constructions that operate with the models leading to explicitation of the implications of these models for the classroom math. Operating with the inventive cognition, one will fabulation thus becoming anti-model one, which puts the idea of model in motion forcing its limits. In another book, the objective is by study the Theory of Conceptual Fields and Model of Semantic Fields, discussing the concepts that underlie them, placing them as theories that are in connection with the ideas of Piaget and Vygotsky, respectively.