Teaching Mathematics in the Digital Era: Applied Mathematical Analysis

Abstract

In Mexico, various assessments point to an educational gap in understanding mathematics. Although part of this is explained by the COVID-19 pandemic, recent research points to the need to update teaching-learning processes, as these have focused on developing calculus skills, which are perceived as useless. Consequently, the development of other skills that contribute to linking abstraction with everyday problem-solving is neglected. Therefore, this article conceptualizes Applied Mathematical Analysis as a framework for developing different skills associated with, and not just with, calculus processes. The notion of Applied Mathematical Analysis seeks to relate variables, that describe common problems, with formal mathematical concepts; that is, to serve as a guide for creating activities that allow students to communicate, interpret, identify assumptions, perform calculations, represent, and analyze problems through an understanding of mathematical objects. Seeking to implement mathematical concepts with their applications also allows us to identify digital tools that can facilitate understanding, either through their graphical or computational capabilities.