A Teaching Proposal for the Calculation of Limits in a First Calculus Course

Abstract

The approach to calculating limits is a common topic in calculus programs for engineering and architecture students, and very challenging for teachers, given how comprehensive it is for students. The following work has been organized in relation to the applied teaching of four fundamental theorems. These theorems allow limits to be solved in rational, polynomial, power, square root, and cube root functions, as well as addressing behavior at infinity with a clear and progressive approach. In the practical sessions, students work collaboratively, promoting conceptual comprehension through the use of a digital whiteboard and examples provided by preservice teachers. In addition, peer learning is encouraged as an essential part of the learning process. This experience has strengthened mathematical reasoning from an applied perspective, facilitating the meaningful appropriation of key concepts in analyzing the calculation of limits.