Design advanced algebra courses with significant learning experiences: Using SageMath to enhance Project-based learning activities

Abstract

In advanced algebra classes, the transition from problem-solving to proof-based writing creates challenges for students. The students are not motivated to excel in these courses because they do not see how the materials can be applied to their real life or other classes. In this proposed project, we aim to create project-based learning activities that provide significant learning experiences for students in these high level classes. In particular, we design mini-projects, including applications of materials from the current classes to topics from some other classes or real life experience. These mini-projects require both the understanding of abstract concepts and the ability to conduct multiple computational steps. To help students complete the mini-projects effectively, we teach students to use SageMath, a free open-source mathematics software system with capabilities of abstract and symbolic computation, as a powerful calculator to complete their mini-projects. This new form of learning also serves as a preparatory step for students in their Senior projects. A pilot study is to implement this project in the Linear Algebra and Discrete Mathematics courses at UNG.