Estudio de los operadores lineales diagonalizables con base en la teoría APOE.

Abstract

The study of concepts understanding in linear algebra is an interesting topic in mathematics education, mainly due to the abstraction and complexity they present. A goal for the teaching of linear algebra in a mathematics degree course is that of a diagonalizable linear operator concept, therefore, based on APOS theory, a cognitive model that considers its construction as an object is given. In addition, with the same theoretical support, a characterization of the levels of development of the scheme of the diagonalizable linear operators is proposed. A qualitative approach was followed since cognitive attributes were analyzed and interpreted individually.