In this article, we look at the exploratory aspects of student projects. We discuss a specific project from a course on quaternions and see how incorrect theorems, student omissions, etc.,
led to some new mathematical results. In particularly, the fact that H/Zp was not just another division algebra but simply a ring with zero-divisors opened new questions to be explored, such as finding non-trivial idempotents, tripotents, and exploring extensions to larger rings such as O/Zp. This serves as a reminder that student projects occasionally could also have academic benefits for the students or the instructors. These are outcomes that could enhance the students’ or the instructors’ academic and professional development.

Full Article: https://s3.amazonaws.com/files.commons.gc.cuny.edu/wp-content/blogs.dir/34462/files/2026/01/1.-Aristidou-Vol-17-no-6.pdf