Divisibilidade nos números naturais: uma experiência com uma turma do Ensino Médio

Abstract

This master’s thesis had as initial order to evidence, through the link between the mathematical concepts and practical suggestions, the divisibility’s relevance to the continuity of the studies in the High School. However, for compose this work, it has been done a snippet and it as been elected the set of natural numbers as the frame of the research. The theoretic argument had as guide axis the Algorithm of the Euclidean Division of the natural numbers having been understood how occur the procedure of the division between two natural numbers and how to construct some divisibility criteria. Thus, by means of readings, writing and iterative activities suggested on the internet it was possible to understand the structure of the euclidean division’s algorithm and to know its importance for the efficient execution of division calculations in our everyday. The result of the research hasn’t exhausted the subject, but is has demonstrated that the divisibility can be learned also through logical, playful, contextualized and interactive activities.