Aplicações da teoria dos números na educação básica com enfoque em divisibilidade e na aritmética dos restos

Abstract

This work presents a proposal in the field of number theory. Initially, we will explore di- visibility criteria from two perspectives: the decimal representation of natural numbers and modular arithmetic. Fundamental concepts of number theory, such as the division algorithm, modular arithmetic, and the decimal representation of natural numbers, will be discussed.Following this, we propose a work plan aimed at students in basic edu- cation, covering both elementary and high school levels. We believe this approach will foster a deep understanding of elementary arithmetic concepts, with appropriate mathematical rigor, significantly contributing to the development of logical reasoning and the understanding of mathematical problems and concepts among students.