Modelagem matemática no estudo das funções afim e quadrática

Abstract

Mathematics is a science that is present in the most diverse situations of our daily, as well as in other areas of knowledge that use it as a means to achieve its ends. Even with this vast employability, their teaching and learning present difficulties. Students sometimes don’t identify it in everyday life because they understand it to be a purely abstract discipline. Therefore, the main objective of this work was the development of a didactic sequence for basic education, which could assist teachers and students in the teaching and learning process in Mathematics, based on Bassanezi's mathematical modeling methodology, reinforced by Durval's theory of record of semiotic representation in teaching. In this work, we propose problem situations, mostly for daily of students, for example, commerce, taxi travel, water distribution, painting of walls and payment of parking lots. In this perspective, to improve the ability of students to make the transition between reality and the mathematical object, and secondly to solve problems of a cyclical nature found in Mathematical Olympiads and in external tests, is sought in the foreground. We also did a brief analysis of what mathematical content these situations encompass and how they are presented in textbooks. Throughout the work, we justify theoretically the reason to propose this methodology based on mathematical modeling for basic education and its importance in improving the quality of this modality of teaching.