El conocimiento didáctico del profesor de matemáticas. Una experiencia con la Geometría de Descartes

Abstract

This book presents the development of the research project “The didactic knowledge of the mathematics teacher. An experience with Descartes' Geometry” funded by the Scientific Research and Development Center of the Francisco José de Caldas District University. It makes theoretical considerations on the relationship between the history of mathematics and the training of mathematics teachers. Specifically, a study is carried out of the work Geometry by Rene Descartes, where historians locate the emergence of analytical geometry, the emergence of a new form of problem solving and part of the constitution of the curved object. Some desirable issues in the training of mathematics teachers are located around these aspects. A work proposal is described in the academic spaces of the curricular project Bachelor of Basic Education with emphasis on Mathematics: problems of geometric algebra and didactics of algebra, which allows us to exemplify the way in which activities related to historical practices are manifested in the students' ways of solving problems as teachers, the considerations they make and the reflections they make on the objects and processes that constitute algebra.