THE IMPORTANCE OF USING THE HISTORY OF MATHEMATICS IN EDUCATIONAL PROCESSES IN LINEAR ALGEBRA

• Main Author: Dias, Renan Marcelo da Costa
• Publication Date: 2023
• Other Authors: Brandemberg, João Cláudio
• Format: Article
• Language: por
• Source: Revista Exitus
• Download full: https://portaldeperiodicos.ufopa.edu.br/index.php/revistaexitus/article/view/2135
• topic: História da Matemática; Álgebra Linear; Dependência e Independência Linear

This article contains elements of a master's research and aims to answer the following question: What aspects intrinsic to the teaching and learning processes of the concepts of Dependence and Linear Independence indicate the importance of a didactic approach to these concepts based on the History of Mathematics? To this end, bibliographic research was carried out on authors who discuss the difficulties encountered by students when they deal with the concepts of Linear Dependence and Independence and also on scholars who deal with the role of formalism and axiomatization in educational processes in Linear Algebra. Although formal and axiomatic languages ​​are pointed out by Brazilian literature as complicating factors in understanding the concepts in focus, in fact they are key elements of the discipline, since they enable the understanding of the unifying and generalizing character of Linear Algebra, which emerges of its own historical-epistemological constitution. In this way, the teacher's challenge is to lend functionality to this formalism and this axiomatization, and, in this way, the History of Mathematics emerges as an important provider of didactic resources for this doing.