The challenges of learning polynomial and linear algebra in mathematics majors

Abstract

Polynomial and linear algebra are fundamental components in the education of mathematics students. These branches of algebra provide the necessary basis for the development of analytical, abstract skills, and are essential for understanding the approach to more complex mathematical problems, in which logical-scientific reasoning is required. However, learning polynomial and linear algebra poses a number of challenges that students must face, ranging from understanding in conjunction with problem solving to analytical demonstrations. The purpose of this essay is to describe some of the most common obstacles that arise during the learning process and discuss the importance of addressing them effectively, taking as reference the groups of II and IV year of Mathematics, during the first semester 2023 at the Regional University Center of Estelí (CUR-Estelí) of the UNAN-Managua.