Uma proposta de atividades para o ensino dos estudos iniciais da função afim

Abstract

The present study aims to submit proposals for interventions in the classroom regarding the study of functions through mathematical modeling, which is a knowledge area that combines reality with our students with mathematical concepts. In this meaning, the cryptography inclusion was motivated by the desire to awaken students' interest in a current topic that is part of their daily lives. For the proposal construction, cryptography studies were carried out and its historical and logical movement, as well as its relations with the mathematical concepts of related function. The research was qualitative and exploratory hallmark in nature, with a design and data production technique based on participant observation. The proposal was adapted for ninth-grade students of elementary school, beginning on the concepts of relationship and function discussion, as well as their existence in natural situations of the teacher's daily life; going through an understanding dynamic of the relationship between two quantities in which for each value of the first there is a single value of the second; ending with activities that approach the main theme — cryptography and study of the related function. It is expected that this final work can contribute to the future planning of teachers engaged in providing classes with new learning and constant search for improvement and new pedagogical practices. It is important to note that among the results, there was a very positive acceptance by the students for the research tasks, which bring a differentiated intervention proposal, and that they provide a significant proximity of the study of the affine function contextualized with the students' learning