Modelagem matemática articulada à Teoria Ator- Rede em uma casa de farinha em Breves-Pa

Abstract

The general objective of this thesis was to configure an approach to develop mathematical modeling activities which was articulated to the Actor-Network Theory. It is expected to present the Mathematical Modeling as a field of studies that deals with the construction of mathematical models from sociotechnical networks, that is, symmetrics and hybrids relationships between human and nonhuman actors constituents of a particular culture. And answer the question of the non-transferability of meaning of realities from one culture to another. The specific objectives were to articulate elements of Actor-Network Theory to elements of the Mathematical Modeling to delineate the said configuration and to construct mathematical models from the practice of flour production in a flour house in the city of Breves articulated to the Actor-Network Theory as a proposal for that configuration. As a result, a approach was obtained that enables teachers and students to investigate problems based on sociocultural practices in order to build a mathematical model, not necessarily governed by school or academic content, that represents that practice. The description in the chosen flour house focusing on relationships between humans and non-humans, in a hybrid and symmetrical way, is characterized as one of the initial steps for mathematical modeling activities. In the following steps, mathematical practices are identified on which questions must be identified to be resolved through the configuration of mathematical diplomodels. The process to arrive at mathematical diplomodels from sociocultural practices must be guided by the following steps: performed practice, sociotechnical description, mathematical figurations, problem identification, mathematical configuration and socialization of immutable mobile.