Um estudo sobre a formulação de hipóteses na Modelagem Matemática na Educação Matemática à luz dos pressupostos de Poincaré

Abstract

This study aims to present an interpretation about process of formulating hypotheses in Mathematical Modeling, within the mathematics education context - bu means of the theoretical assumptions of de role played the French philosopher and mathematician Jules Henri Poincaré (1854-1912), about the role played by the hypothesis in scientific knowledge. From descriptions of the proceedings for modeling, focusing on the stage of abstraction put in relief the formulation of hypotheses while bounding the moldable reality mathematically. discorrmos on the role of mathematical models in science education, emphasizing that these are commonly understood as arguments that promote the spread of the idea that scientific knowledge is ready and finished. Interpret formulção hypotheses under three mathematical modeling problems in the context of mathematics education, drawing upon the design and poincareriana classification of hypotheses. Finally, we relate our interpretation with the principles of Science Education and present understandings that support the demystification of unquestionable character of mathematical models in science education from a vision that takes into account the holistic nature, flexible and non-deterministic process of constitution of of scientific knowledge.