Abstract
Through the analysis of artificial neural networks and the results of t-tests, we identified some common stumbling points for students who are learning linear algebra, specifically pertaining to linear independence and linear dependence. Aiming to find effective ways of helping students get past these obstacles, we developed a set of mathematics websites covering calculus, linear algebra, and probability statistics. These websites are designed to cater to high school and university students, giving them the opportunity to interactively form concepts regardless of time and place. Along with their own comprehensive content, the websites also provide visitors with relevant links to resources for further reading and study; they are accessible by and useful to students of any learning background. Moreover, educators can easily implement peer instruction in their classes using these online resources. Our suite of mathematics websites provide a useful structure for both students and teachers, aligning with the broader goal of digital transformation in education.
