This paper describes a case study of two pure mathematicians who flipped their lecture to teach matrix determinants in two large mathematics service courses (one at Stage I and the other at Stage II). The purpose of the study was to transform the passive lecture into an active learning opportunity and to introduce valuable mathematical skills,…

Undergraduate education in the STEM fields (science, technology, engineering, and mathematics) needs improvement, a conclusion that multiple national reports over the past two decades have reached. Critiques of STEM education may emphasize different aspects of the STEM undergraduate education problem. Nevertheless, each delivers one clear and…

"Active learning" where students are required to do something in the classroom rather than simply listen to a lecture has been repeatedly shown to be superior to the lecture method in advancing student learning. The use of case studies in the classroom is one of the most successful active learning methods of teaching science, technology,…