Técnica de demonstração matemática aplicada em análise da reta

Abstract

This work aims to study the demonstration process carried out in the discipline of Mathematical Analysis of the Line. The theme was chosen based on the bibliographic analysis carried out in the Mathematical Analysis discipline present in the undergraduate course. From the analysis of the basic bibliography of the discipline, problems of understanding were found in the model of proof of theorems and resolution of the exercises. It discusses the construction of logical mathematical thinking, epistemological conceptions and the historicity of Logic and Mathematical Analysis, seeking to understand ways to create a model that would fill gaps in the understanding of the demonstrative process. We present a vertical model, via form, called Group of Demonstration Forms which, through a breakable structure, proposes a mode of demonstration aimed at Higher Education, aiming to establish a logical construction for solving demonstration problems while preserving the rigor of mathematical language. And finally, we present examples of application of the form and compare it with the methodology applied in university textbooks related to the subject.