Limite: uma conexão entre o ensino básico e o ensino superior

Abstract

The Limit concept is one of the fundamental tools in teaching differential and integral calculus in higher education although it is not usually taught at basic education level, although this theme has been part of high school books for a long time. This work aims to show the importance to deal with Limit at this level, so it can work as a link between high school and higher education, once the content taught at elementary and high school are not really efficient for the study of more advanced mathematics. This work consists of several lesson plans that deal from the initial concept of limit, go through derivative, and end in Riemann’s sums and integral notions, as well as offer an overview of such issues. Topics such as maximum and minimum of the functions and also areas and volume make the introduction of the topic less impactful and pave the way to the solution of more advanced problems.