The design and initial implementation of a project-based directed study course in mathematical research and communication is described. The intention of the course is to expose students to the foundation of mathematical research through inquiry-based learning. Students are asked to approach an exercise in topology as though it is an open problem.…

Undergraduate research occurs in a variety of mathematical fields and in diverse settings, but all mentors of undergraduates face a number of common considerations. This article is a brief guide to help faculty with various levels of previous mentoring experience lead students in research projects. In particular, we discuss the issues of picking…

Interdisciplinary undergraduate research experiences often require students to work in teams with other students and researchers from different disciplines, creating a need for development of new skills in interdisciplinary collaboration. In this paper, we describe our unique efforts to mentor participants in developing these skills during our…

In the early 1990s, in an effort to enhance their majors' ability to communicate mathematical ideas, the Mathematics Department at Bellarmine University added a capstone course, "Readings in Mathematics," to the curriculum of each degree program in the department. We provide an overview of the course, noting its unique aspects, with…