Developing Active Learning of Linear Algebra in Engineering by Incorporating MATLAB and Autograder

Abstract

The purpose of this paper is to redesign a traditional linear algebra course that focuses mainly on theoretical concepts without any numerical application, in order to enhance the learning experience for students. This was achieved by conducting a comprehensive study of the students' needs, contents covered, pedagogical approaches used at peer institutions, and existing literature published by experts in the field. The redesigned course incorporates the following changes to make it more dynamic, computational, and applied: • Significant integration of active learning through in-class group worksheets that embed MATLAB practice problems. • Devlopement of MATLAB live scripts prior to class to visualize abstract concepts when teaching and compute more complex problems. • Inclusion of coding core linear algebra concepts as a class task. • Addition of application projects to the curriculum. • Adoption of the MATLAB Autograder to grade student work. As a result of these changes, the course is now more interactive and application-focused, leading to a more positive impact on students' learning experience, as reported by the majority of students.