Pensamiento funcional de estudiantes de 2º de primaria: estructuras y representaciones

Abstract

This work is part of a broader investigation that is being developed in the field of algebraic thinking of elementary school students in Spain. We focus here on identifying the structures (identified regularities) and representations that appear during the generalization process of some students when students work with generalization tasks. For this purpose, we implemented generalization tasks involving linear functions in a case study within a teaching experiment with three students in the 2nd year of primary school (7-8 years old). We emphasize that the number of structures and the way of generalizing the structure depend on the tasks posed in each case. The generalizations of all students have been represented by verbal and/or numerical representations.