Funções convexas com aplicações no ensino médio

Abstract

In the context of high school education, understanding the principles of convex functions not only enriches students' mathematical comprehension but also prepares them to face practical challenges across various fields. However, the study of this topic faces obstacles related to the complexity of the subject and the need for essential didactic resources. This study aimed to identify effective strategies for teaching sets and convex functions, promote the development of students' critical thinking and analytical skills, and evaluate the impact of these strategies on students' preparation for advanced studies and their perception of the relevance of mathematics. To achieve this, a literature review on mathematics education was conducted, analyzing pedagogical practices and implementing a didactic approach based on visualizations, real-world examples, and interactive activities. The study indicated that introducing the concepts of sets and convex functions in a contextualized and practical manner enhances students' understanding and increases their engagement with mathematics. It highlights that a well-structured pedagogical approach, incorporating practical examples and associative activities, transforms abstract mathematical concepts into practical and relevant tools, preparing students for critical thinking development and future perspectives.