A abordagem das derivadas em uma coleção de livros matemáticos: análise documental.

Abstract

This research consists of a qualitative documentary analysis, carried out through an investigation of how the rules of differentiation are addressed by different authors in Differential and Integral Calculus books available in the physical collection of the Federal Institute of Piauí (IFPI), Floriano Campus library. The study aimed to analyze how different authors of textbooks approach the concept of derivatives, identifying the methodologies used, and their applications. The selection of the analyzed books was based on the following criteria works aimed at Higher Education, books adopted in the syllabus of the Mathematics course subjects, and the presence of chapters dedicated to the rules of derivatives. The analysis revealed significant divergences among the selected works: while some works present the content in a more accessible language, with visual resources and progressive exercises, others present a more traditional approach, focused on the mechanization of formulas and the repetition of procedures is important. The results indicate that the way content is organized can influence the learning process, either facilitating or hindering students' understanding. As final considerations, it is emphasized that the choice of a textbook is not a neutral act, since its pedagogical aspects directly influence the development of student autonomy and content comprehension. Finally, it is expected that this research will encourage reflections on the choice of textbooks and the construction of teaching materials that are aligned with students' needs.