Um estudo histórico do ensino de geometria analítica no curso de matemática da UFJF nas décadas de 1960 e 1970

Abstract

This research presents a historical study of analytical geometry on a curricular component of teaching degree in Mathematics at Federal University of Juiz de Fora, in the 1960s and 1970s decades. The historical study on the subject was based on the analysis of supplementary material used and indicated as bibliographic reference during decades, in interviews with the author’s professors and ex-students as well as in a research of analytical geometry work. Among the questions we tried to answer in this research we highlight: How was the analytical geometry course structured in UFJF? As the research developed, it was observed that the supplementary material produced by the ex-teacher of UFJF, Helio Siqueira Silveira, had an important role in the stabilization of analytical geometry subject. The conclusion was evidenced thanks to the fact that this material has been mentioned by other geometry professors in bibliographical references and also because the material is borrowed from the library even today. Besides this, we could see that there is not enough analytical geometry work published in Portuguese at the present moment. In order to understand this subject in another context outside UFJF, we compiled the bibliographic collection of Institute Mathematics and Statistics , USP, as well as interviews with professors and ex-students of analytical geometry in that institution. The similarity between these two contexts happened around the stabilization of the subject from a reference text. Among the various observations resulting from the researches, we could notice that the supplementary material presents contents that will be stabilized in the University teaching, as the study of vector, specially from the representation in coordinates and others that do not stabilize themselves such as vectorial and plane geometry.