Affine function and the construction of the animated scenario Air Ballon: artifact-instrument and instrumentation-instrumentalization dialectics

Bueno A.C.; Basniak M.I.; García-Cuéllar D.J. · Revista Latinoamericana de Investigacion en Matematica Educativa (2025) · DOI: 10.12802/relime.2025.28.e435

Resumen

This qualitative research aims to investigate the characteristics of the affine function manifested by an Elementary School student in the construction of an animated scenario in GeoGebra, from the artefact-instrument and instrumentation-instrumentalization dialectics. In this way, the construction is presented and analyzed through the Instrumental Approach of the animated scenario Balloon, developed by an 8th-grade elementary school student (13 years old). Through the operative invariants, manifestations of mathematical elements related to increasing, decreasing, and constant affine functions were identified during the construction of the scenario. Additionally, it was noted that for the student, the artifact GeoGebra transformed into different instruments, as he utilized the software to build, limit, and unite functions that comprise the parts of the balloon path, and then animate the construction. Copyright 2025 Latin American Journal of Research in Educational Mathematics. This work is under an international license Creative Commons Attribution-NonCommercial 4.0 https://creativecommons.org/licenses/by/4.0/

Instituciones: Pontificia Universidad Católica del Perú