História do ensino de cálculo diferencial e integral: a existência de uma cultura

Abstract

The present work aims to study the teaching of history on Differential and Integral Calculus course at the Federal University of Juiz de Fora (UFJF) during the 1970s and 1980s with the intention of identifying traces, vestiges of the culture of teaching. Thus, the question was: how to characterize the culture of teaching of differential and integral calculus in the 1970s and 1980s? The study proposed here, by taking the history of teaching and learning of mathematics, of course fits into the search field of the history of mathematics education with a theoretical-methodological support from the History of Education understood as specificity of history. The sources were the lecture notes of a professor of the Department of Mathematics Calculus UFJF of the last century, the contract of a Calculus student of that teacher, the departmental proceedings, textbooks Calculation of the period in question, in addition to interview with the faculty author of the notes. The findings outlined point to identify elements of culture as Calculation education: rigor, the prerequisites, the disapproval, the applications of mathematics, the emphasis on training and the sequence teaching function-limit-derivative-integral.