Estudio de la coherencia entre los lineamientos curriculares y el tratamiento que se da a la modelización matemática en los libros de texto del bachillerato ecuatoriano

Abstract

Mathematical modeling in the educational field has proven to be very useful in getting students to answer the question: What is the purpose of mathematics? In this way, a connection is established between mathematics and real-life situations. Its importance is such that it is even present in various parts of the Ecuadorian mathematics curriculum, as well as in some skills of the subject. For this reason, throughout this work, its importance, concepts, characteristics, perspectives, cycles, and everything essential about mathematical modeling will be presented. In addition, a quantitative analysis was carried out on the various activities proposed by the texts provided by the Ministry of Education (MinEduc) for high school, in order to understand the presence of mathematical modeling in these documents. The study focused on the blocks of Geometry and Measurement, and Statistics and Probability. Based on the above, this research aims to analyze the coherence between the guidelines issued by MinEduc in the curriculum documents and the presence of mathematical modeling in the textbooks of the Unified General Baccalaureate (BGU). The results were alarming, as the presence of mathematical modeling activities is minimal in MinEduc's textbooks, leading to the conclusion of a low concordance with what is proposed in the Ecuadorian curriculum and in the textbooks corresponding to BGU.