Una de las relaciones entre la matemática y la biología: ¡El canto de las aves y su matematización!

Abstract

This work addresses the mathematization of bird songs in Bogotá using the Freudenthal model, which consists of vertical and horizontal aspects to transform everyday problems into mathematical ones through intuition and empirical work, among others. A methodology structured in four levels: situational, referential, general, and formal, is followed, which facilitates the formalization of the mathematical components of the problem. The document details the procedures by levels and presents the mathematical model adjusted to the problem. It was found that the songs of the birds of Bogotá can be related to aspects of various disciplines such as the environment, biology, and music, demonstrating the interdisciplinarity of mathematics and its presence in everyday and unconventional contexts.