Message coding: study and research activity using linear algebra praxeologies Codificación de mensajes: Actividad de estudio e investigación utilizando praxeologías de álgebra lineal

Abstract

This article is presented as part of the partial results of the design and implementation of a Study and Research Activity, for the teaching of message coding, as a practical case, with Linear Algebra Mathematical Organizations in engineering courses. At the methodological level, a qualitative, descriptive, and interpretive research was adopted, with ethnographic elements, and participant observation method. It is based on the Anthropological Theory of the Didactic, together with its theoretical and didactic constructs, a Praxeological Reference Model was designed, in which mathematical works related to the study of praxeologies, the generating question Q0 and their respective derived questions Qi present were described. in the development of the Study and Research Activity. The Study and Research Activity was developed with the emergence of various ways to encode and decode messages as it was studied and investigated to find possible answers to the generating questions and their derivatives. With them, a new way of teaching Mathematical Organizations of linear Algebra was evidenced, different from what is usually carried out in higher education in engineering schools. Finally, it is evident that taking this didactic device to the classroom allows to minimize to a great extent the monumentalization of knowledge, as it is conceived within the Anthropological Theory of Didactics