Modelagem matemática como estratégia de ensino de tópicos de Estatística na formação básica técnica

Abstract

This work proposes an approach to teaching statistical topics in secondary technical education, taking as reference the procedures adopted by mathematical modeling and inserted in a investigation environment, contextualized and interdisciplinary. Previously, to make feasible these relationships, it presents the definitions of the main statistical themes approached by the mathematics curriculum component in secondary education, based on the object of study. Then, in a synthetic way, it describes the ability and competences designated by the National Curricular Parameters (NCP) for the teaching of statistics, complemented by an analysis of the contents of textbooks, which demonstrate to be insufficient in basic technical education. In this, find a research on mathematical modeling, its history, concepts and processes. Also, contributions to the teaching of statistics, being considered a methodological tool in the orientation and direction of teaching, through the stages of interaction of the content approached, mathematization of the situation and evaluation of the results. An application in the caipira broiler has been proposed, which conducted to the analysis of two regression models to represent the relationship between the variables involved, being: linear model and quadratic model. The evaluation of the models allowed the choice of the most adequate regression, opting for the quadratic model because it presented a higher coefficient of explanation (R-squared). The culmination of the work reflects in the use of the “triple”: planning of actions, insertion of the contents to the reality of the students and in the established association between the several disciplines, as a tendency in the promotion of an effective learning.