Una aproximación al estudio del teorema de Pitágoras con estudiantes de secundaria

A qualitative case study is described, with a group of fifteen high school students from the state of San Luis Potosi, Mexico, about a classroom experience where an approach to the study of the Pythagorean theorem was addressed, in which the relationship between the sides of a right triangle was analyzed. Supported in Socioepistemology, variational situations were designed by adapting to the classroom the elaboration and use of the hoppers that are built in the Paileria industry. The variational strategies of comparison, seriation, prediction and estimation carried out by the students, on the data obtained when measuring the sides of a right triangle visualized inside the hoppers, allowed them to resignify, in terms of the storage and emptying of granulated material of the hoppers, the mathematical relation indicated by the theorem.