Completando a reta: números irracionais em sala de aula numa perspectiva investigativa

Abstract

This course conclusion article was conceived with the intention of presenting concepts, ideas and methodological proposals that involve the study of irrational numbers in basic education, more precisely in fundamental education, since the literature dedicated to this, in its most diverse types and levels, is unsatisfactory and even the delicate approach about what rational numbers are may not be so well solidified at this stage of teaching. With this objective, we established a sequence of discussions related to both rational and irrational numbers that we believe is more intuitive and constructive for a formalization of what would be, in the end, the set of real numbers. Still, as an educational product, we present proposals for activities to be carried out in the final years of elementary school, following the process of Mathematical Investigation.