Números primos e a constituição do MMC e MDC

Abstract

In this research we aim to elaborate a Didactic Sequence based on Rickenmann and always resorting to previous knowledge that favors the understanding of the notions of Minimum Common Multiple (CMM) and Maximum Common Divisor (MDC) inspired by the Sieve of Eratosthenes. In order to reach the objective, we will assume as theoretical support the Theory of Didactic Situations making use of Didactic Engineering aspects as research methodology. For the elaboration of the Sequence we carry out a historical study with epistemological bias covering the mathematical definitions in the light of Number Theory, as well as the extension of the same ones, the knowledge of the origins and how the objects have been researched and presented in didactic books.