Una aproximación al conocimiento profesional del profesor de matemáticas en la práctica: La semejanza como objeto de enseñanza-aprendizaje

Abstract

This is part of a research study about the relationship between professional knowledge and teaching practice for secondary school Mathematics teachers, when they teaches specific mathematical topics, in our case, similarity. In particular, here we are going to describe and characterize the structure of a teacher’s presentation segment (introduction of the ratio of volumes for similar figures), how the mathematical content is organized in the actions which shape the structure of this segment, and the relationships between actions/content organization and the justifications given by the teacher. The results show the regularities in the teacher practice, and the diversity of aspects related to the different domains of professional knowledge that are involved in the actions that configure a teaching episode.