THE INTER-RELATIONS BETWEEN PHYSICS AND MATHEMATICS: EVIDENCES IN EXTEMPORARY DIALOGUES OF GALILEO, NEWTON AND THE FRENCH SCHOOL IN THE CONSOLIDATION OF AN APPROACH TO PHYSICS EDUCATION IN BRAZI
Teaching, History, Physics, Mathematics, interrelations
We discuss issues that are relevant to the field of Teacher Education, focusing on the History of Physics Teaching and take into account the influences on how we use Mathematics in Physics Teaching. The research is justified by the existence of the need to understand why Mathematics has specific functionality of methodological performance, within the scope of Physics Teaching, and may cause permanent pedagogical obstacles. In the research, we investigate and classify a set of historical-epistemological dimensions, arising from specific historical-philosophical moments, which relate to the constant relationship between Physics and Mathematics where the extemporaneous dialogues, proposed by the specific works of Galileo, Newton and mediation of the French School. We try to analyze how the transformation of the thinking style present in the Galilean and Newtonian epistemologies occurred in the physics teaching of the French School in the 19th and 20th centuries and its consequent reception in Brazil. The paths taken to reach this objective were permeated by a theoretical study of documentary evaluation of historical sources in the light of the analysis of the Fleckian categories in order to understand what might have led to this consolidation present in the teaching of physics , nowadays in Brazil. We have brought results that may refer us to the more coherent ways of using Mathematics in Physics Teaching, thus evidencing a naive conception of this relationship on the part of the involved peers. For all this, we broaden the critical view about these historical-epistemological dimensions, used in the training courses of physics teachers in Brazil.