O Crivo de Eratóstenes no contexto da aprendizagem dos números primos no ensino fundamental

Abstract

This work analyzes the importance of the Sieve of Eratosthenes as a pedagogical method in the teaching and learning of prime numbers in elementary education. The objectives include evaluating the feasibility of this method and its influence on the development of students' logical reasoning. The theoretical framework is based on the National Curriculum Parameters and the Common National Curriculum Base, which highlight mathematics as an essential tool for communication and the formation of critical and proactive citizens. The methodology involves a bibliographic investigation into the effectiveness of the Sieve of Eratosthenes and its practical applications in teaching prime numbers, considering the need for concrete and meaningful approaches to facilitate learning. Expected results include improvement in the understanding of the concepts of prime and composite numbers, as well as in the handling of basic mathematical operations. The final considerations suggest that the use of the Sieve of Eratosthenes can optimize the teaching of mathematics, contributing to the formation of solid and integrated knowledge, and stimulating future research in the field. Keywords: Sieve of Eratosthenes; Prime numbers; Mathematics.