Formação e reelaboração de imagens e definições de conceito relacionadas ao ensino de vetores em geometria analítica

Abstract

This research aims to presents the contributions of Analytic Geometric activities on the construction of concept images and elaboration of concept definitions associated to vectors by Mathematics undergraduate students. The research was theoretically supported on the knowledge of Advanced Mathematics thinking based on the notion of concept image and concept definition. The subjacent methodological options to this study classified it on the modality of teaching experiment with qualitative approach. Data were collected using group activities, observation and quizzes. Seven students of the undergraduate curse of Mathematics participated as research subjects. The results suggest that analytic geometric activities contributes to the construction of concept images and reprocessing of concept definitions of the students, through writing texts and talks of the research participants. We considered the way that contents were explained could represent a high potential research to the formation of images and concept definitions by undergraduate Mathematics students. In this way, the activities elaborated through this dissertation could be part of a suggestions set to support the vector operations learning during college education.