Matemáticas contemporáneas y prácticas sociales: escenarios para la construcción de currículos

Abstract

There are several scenarios that promote the use of mathematics, from which it is assumed the resolution of social, academic, technical, technological or scientific problems. And we build theoretical tools that allow us to find models and standardized forms to assume similar situations from different fields. In a side parallel to these developments curricula are developed for the training of citizens, whether for children and young people or professionals in different areas; in each of them (for the most part) an emphasis is placed on mathematics education. The dynamics of evolution in both cases are different. While in the development of mathematics and applied mathematics emerge different objects of study that impact the new dynamics of production of knowledge, science and technology, schooling (whether basic, average or professional), changes are slower and there is no evidence of a transformation that mobilizes the proposals focused on the numerical, the variational and sometimes the geometric. It also implies a focus on the ways of thinking, of arguing and solving their own problems. This project explores this dichotomy and draws evidence of this separation. Consequently, it formulates elements that explain the tensions, challenges and perspectives derived from mathematical education courses conceived from the organization of curricula for the development of learning of concepts, theories, and techniques, as opposed to forms that resort to approach to situations, problems and contexts in which mathematics become a means to approach the solution of them and not as an end of learning. This project of academic collaboration between the group Educational Research of the Universidad Santo Tomás and the research group FICB-IPUG, of the Faculty of Engineering and Basic Sciences of the Polytechnic University Grancolombiano, had the participation of researchers from the Department of Basic Sciences of the Grancolombiano Polytechnic University Institution and of the Bachelor's Degree in Basic Education with an emphasis in Mathematics from the University of Santo Tomás, in a work that brought together perspectives on applied and contemporary mathematics and perspectives and approaches in training and teaching practice in the area.