Um estudo sobre a equação geral das cônicas

Abstract

The present work has as its theme the general equation of conics and is justified as a text aimed at providing important insights for teachers who will teach about this topic and also for other interested parties, an approach to technologies is taken as combined with the teaching-learning process . The general objective is to discuss all cases of the general equation of conics, such as Ellipse, Hyperbola, Parabola and some particular cases. The specific objectives include a teaching proposal based on Vygostky Historical-Cultural Theory and Davydov Theory of Developmental Teaching, using the GeoGebra software as a technological tool that assists in the teaching-learning process. Methodologically it is an exploratory theoretical research based on bibliographical and qualitative research. The text consists of a historical contextualization, specific chapters to deal with each case with demonstrations and examples, a chapter presenting GeoGebra and some of its features and finally a proposal for teaching conics. The results demonstrate the theoretical and methodological appropriation of the theories covered. It is concluded from this study that specific knowledge must be aligned with didactic and teaching methodologies. The text ends with an indication of the procedures for teaching conics and organization of the teaching plan. .