Difficulties in the teaching and learning of the fundamental theorem of calculus: a state of the art

Abstract

The Fundamental Theorem of Calculus (FTC) is an important calculus tool in engineering education courses, such relevance is also given by the relationship it establishes between differential and integral calculus which motivated the present research, which aims to make a State of the art of the research used in our Master's thesis whose focus is the FTC study. The purpose of this work is to learn about the difficulties encountered when approaching the teaching and learning of FTC. The study evidenced that the notions of function, continuity and variation are difficulties that arise in the learning of FTC, for this reason they are important prior knowledge that the teacher must take into account when carrying out this subject.