Grafos no ensino básico: da compreensão de tecnologias contemporâneas ao desenvolvimento socioemocional.

Abstract

The present work aims to present an introductory, but signiĄcantly consistent, part of graph theory to Basic Education teachers with the purpose of being an suggestion for the mathematics classroom, trying to accomplish some of the dynamism imposed by current technological transformations. To this end, we have performed a bibliographical research (books, articles and internet) resulting in a collection of introductory concepts to graph theory, which we consider suicient to support the development of the didactic sequence proposed. Furthermore, we have explored the modeling, in a simpliĄed way, of some applications and social networking sites, through the use of graphs, implementing the idea of recommendation algorithms, in order to promote an alert to students, given that such algorithms inĆuence, more and more, the way we interact when browsing. The idea of such algorithms is introduced from the study of other types of algorithms, for example, the Dijkstra Algorithm. We Ąnished with a proposal for a didactic sequence, in which some basic concepts about graphs are addressed and there is a direction for a dialogue about recommendation algorithms and browsing in social network applications, which we consider an attempt to contribute to the socio-emotional development of students, dueto the possibility of developing critical awareness about themselves and others in their social group.