La aritmética matricial como modelo del entorno cotidiano

Abstract

This article is a proposition for the teaching / learning of some matrix calculation elements from mathematical modeling. As a matter of fact, some daily situations are established showing how we can create models to illustrate the matrix concept and also by introducing basic operations of difference and product of matrices. Firstly, a matrix is shown as a mathematical model of an image and then how the matrix difference becomes a model for image comparison is discussed. However, to do this task software such as Octave (or similar software) is necessary. This tool allows the research of a numerical model of a black and white image represented by a matrix. Furthermore, we see how the product of matrices is a model which can be naturally deduced from the grocery shopping routine. The main idea is to underline the matrix calculation epistemology in order to reinforce the students? cognitive character, bringing a contextual view of daily matters in real life at the same time, enriching the heuristic, thus allowing the visualization of the connection among the mathematical symbolism (introduced on the model) and the real situations