The authors describe their approach to teaching a course on finite fields and combinatorial applications, including block designs and error-correcting codes, using a hybrid of lectures and active learning. Under the discussed classroom model, there are two lecture days and two discovery-based discussion days each week. Discussions center around…

This paper reports observations and reflections from a pedagogic intervention intended to enhance mathematics students' learning of course content in a course in multivariable calculus. The intervention design required students to structure, practice, and deliver an oral presentation that was a synthesis of the teacher's weekly lectures, for the…

An interdisciplinary course centered on mathematical ideas (involving infinity and geometry) is described. The course was developed by the authors, both mathematicians, as a vehicle for engaging students in learning about mathematical ideas that are rarely found in the general undergraduate curriculum. The course was offered to honors students…