Conhecendo a matemática para comunicar o pensamento matemático: uma perspectiva histórico-filosófica

Abstract

The present work aims to carry out an analysis based on the historical and philosophical context of the development of mathematical knowledge, from the perspective of interpretation of concepts. The research methodology is bibliographical in nature, seeking to analyze questions of the epistemology of mathematics about what mathematics is, which indicate that historical evolution is related to the usefulness of mathematics, but specifically the way to interpret mathematics in different historical and philosophical contexts. Constructive moments can be seen in the development of mathematics concepts related to needs and enhanced by available tools, whether they are specific to mathematics or as an artifact of cultures, in different periods of development. It is possible, therefore, to perceive this movement of mathematics that is constructed and reconstructed, in different interpretations, which can be re-signified according to the objective conditions in societies, and this is an aspect that determines conditions for the emergence of ideas and constructions, in a symbolic evolutionary process. In this sense, the analyzes suggest that, in order to do and communicate mathematics, it is necessary to interpret it in the face of objective conditions in different contexts and thus continue to do and communicate mathematical knowledge.