La enseñanza de la Matemática aplicada en la Universidad. El caso de Matemática Compositiva en Diseño de Interiores y Mobiliario en la UNRN.

Abstract

This Final Integrative Project aims to design, implement, and evaluate a teaching sequence contextualized within problems of the Interior and Furniture Design professional field at the National University of Río Negro. This is done within the framework of the Compositional Mathematics course, corresponding to the first year of the program. Thus, the aim is to contribute to the identification of mathematical concepts necessary for professional interior design practice, as well as to the recognition of situations for using and communicating these mathematical concepts in the procedures performed. The didactic approach is based on constructivist approaches and educational innovation. The teaching sequence designed, implemented, and analyzed in this Final Project aims to build knowledge about proportional reasoning based on visual phenomena. Therefore, it addresses, among other topics, the similarity of figures, the ratio of similarity, and homothety. It also seeks to deduce properties and teach the procedure for performing this transformation on a plane, using a ruler and compass. The idea is supported that contextualizing mathematics in future professional practice can generate significant learning and motivate students, thus contributing to their design projects. The methodology used in the Final Project is aligned with qualitative approaches, focusing on the design, implementation, and evaluation of teaching proposals.