O estudo das cônicas a partir da excentricidade: formando conceitos com o auxilio do geogebra e a geometria dinâmica

Abstract

It is known at present in the school context that the teaching of conics is done in an isolated and analytical way, affecting negatively the learning of this subject matter. This way, from the geometrical point of view, our investigation proposes the contextualized teaching of the conics in the classroom in order to take full advantage of the mathematical knowledge from high school and college students. Having that in mind, in general terms, we go over the theoretical studies of Boyer (1996) and Cajori (1991) that deal with the divisions of cones investigated initially by Menaechmus and improved by Dandelin. Besides that, we deal with the eccentricity in the dynamic geometry environment, through computer resources presented by Giraldo, Caetano and Mattos (2012). In this work, we present, besides the scientific character, an invitation for reflection when we elaborate activities for our own classes and , besides that, because these tasks help the students develop their mastery of content and overcome their difficulties. This way, by the end of the research we suggest some activities to Mathematics teachers with the aim to collaborate with the contextualized teaching of conics. We believe that, this way, we fight against the passive participation of students in face of any challenge in their teaching/learning process, and , from this context, we promote a more meaningful interaction in the classroom