Procesos de generalización y niveles de matematización de estudiantes de grado octavo en la iniciación al álgebra escolar

Abstract

This research seeks to describe and determine the levels of mathematization through which students' productions pass when they perform tasks on generalization processes, this research is applied to students who are in the eighth grade and are starting the school algebra course, also the theoretical bases that allow the support of this research are found, starting from referents that focus the work on a theory of mathematics education which is the Realistic Mathematics Education. In addition, we recognize authors who worked on generalization actions, on the conceptions of generalization that allow outlining the work on pattern generalization tasks, and other authors who researched on the teaching of school algebra making use of generalization and the development of early algebra. This work being immersed in the field of education, the research is aimed at describing in a qualitative way some of the actions developed in a teaching-learning process, specifically the categorization of students' productions in order to recognize the level of mathematization achieved by each one and to describe how these generalization processes are.