O estudo da função exponencial e suas aplicações nos livros didáticos do ensino médio

Abstract

The exponential function is widely used in many areas such as natural sciences, economics, engineering and statistics. In the teaching and learning process, this content is explored in schools through practical examples, exercises and graphics, seeking to develop students' understanding of exponential growth, rates of change and applications in real world problems. The main objective of this study was to investigate the exponential function and its applications in high school textbooks, taking into account the crucial role that these textbooks play, both for teachers and for students. They are often the only source of support available for teaching and learning, making their analysis essential. The methodology used in relation to the approach to the problem was of a qualitative nature, as for the objectives, it is classified as exploratory based on a bibliographical research because it is a research developed around books. The theoretical basis is based on Mathematics books for the 1st year of high school, on the National Common Curricular Base (BNCC). To achieve the proposed objective, an analysis was made of textbooks in which they addressed the content of exponential function and its applications, then the treatment of textbooks for the study of exponential function and its applications with other areas of knowledge was described. At the end of the research it was possible to realize that we can use some mathematical concepts to solve, understand and interpret situations connected to other sciences besides mathematics itself. It is also expected that this work will contribute to the improvement of teaching and learning of the exponential function, encouraging the connection of this content with other disciplines and providing students with a more comprehensive and meaningful education.