Algunos Apuntes Sobre la Noción de Infinito en los Referentes Curriculares para el Área de Matemáticas de Colombia en el Ciclo Décimo-Undécimo

Abstract

In the teaching-learning of the concepts of calculation there are multiple research results that have addressed the difficulties, epistemological obstacles, didactic obstacles, etc. This is how one of those objects that causes difficulties is the mathematical infinite, however, in terms of the process of didactic transposition, it is necessary to have a transit between the knowledge to teach and the didactic knowledge that prioritize a treatment to the epistemological obstacle horror to Infinite, this implies that educational policies and specifically the mathematics curriculum for basic and secondary education must present explicit elements in their proposals for the teacher to construct their planning, it is for this reason that this work is proposed and developed so that With this will be provided references that account for the presence of the infinite mathematical object in the Basic Standards of competences for the area of ​​mathematics Basic rights of learning for the area of ​​mathematics in Colombia.