Atividades históricas investigativas como agente motivador na aprendizagem de cálculo diferencial e integral de uma variável

Abstract

The main objective of this research is to propose activities for the teaching the concepts of Integral, Derivative and Limit using the history of mathematics as a pedagogical resource. We believe that the historical knowledge of those concepts to a student of mathematics can facilitate the learning of the Calculus Integral and Differential of one variable. Thus, based on the bibliographic research and exploratory, we did a study about the historical development of the calculus and of some problems currently faced in teaching and learning of the Differential and Integral Calculus of one variable. The three proposed activities were submitted to some teachers that teach or taught Differential and Integral Calculus of one variable in the course of Degree in Mathematics at UFPB – Campus IV / North Coast to be evaluated. The collects of opinions of teachers happened through two questionnaires. With the Diagnostic Questionnaire, we seek know if have had contact with the history of mathematics during their formation and their analysis about the teaching of Calculus of one variable through this pedagogical resource. With the Evaluative Questionnaire, we checked the teachers’ opinions about the viability of application of the activities in the classroom. The results obtained in this work show us that the activities that we propose are promising, moreover, we identified that there are some limitations and distorted ideas about the use of history in the teaching of Calculus of one variable.