La complejidad de los objetos matemáticos en la formación inicial de docentes

Abstract

The objective is the development of competence in the analysis of didactic suitability, corresponding to the representative sample component of the complexity of the mathematical object, in training programs for mathematics teachers in Ecuador. It is a qualitative research that describes the competent use of said component and, on the other hand, it has a development component when developing didactic resources to achieve it. Tasks were designed and the productions of the participants were analyzed from a priori categories (the different meanings of the mathematical object involved) through a content analysis to infer the partial meaning used. The main result is that participants assume the importance of considering the multiple meaning of mathematical objects in the instructional process; nevertheless, they have difficulty designing tasks that involve the use of a variety of meanings.