Undergraduate research has become the centerpiece of many institutions of higher education's efforts to attract and recruit high school graduates. Since 1987, throughout my tenure at Bloomsburg University, I have involved over 20 students in my research. In my experience, there is clear evidence that students of mathematics substantially benefit…

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…

This article examines the use of the computer algebra system SAGE for undergraduate student research projects. After reading this article, the reader should understand the benefits of using SAGE as a source of research projects and how to commence working with SAGE. The author proposes a tiered working group model to allow maximum benefit to the…

As part of Middle Tennessee State University's (MTSU's) initiative to improve retention of at-risk STEM majors, they recruit first-time, full-time freshman STEM majors with mathematics ACT scores of 19 to 23 to participate in MTSU's "Mathematics as a FirstSTEP to Success in STEM" project (FirstSTEP). This article overviews MTSU's…

In this paper, we discuss the challenges of organizing a large REU program amalgamated from multiple funding sources, including diverse participants, mentors, and research projects. We detail the program's structure, activities, and recruitment, and we hope to demonstrate that the organization of this REU is not only beneficial to its…

This article offers some insights into successfully engaging students in research. While most schools encourage undergraduate research, there is little guidance specific to mathematics on how to make it a rewarding experience for both the student and the advisor. With a small support group and a goal-oriented time line, students will be able to…

The notion that undergraduates are capable of making profound and original contributions to mathematical research is rapidly gaining acceptance. Undergraduates bring their enthusiasm, creativity, curiosity, and perseverance to bona fide research problems. This article discusses some of the key issues concerning undergraduate mathematical research:…

The US National Science Foundation's (NSF's) Undergraduate Biology and Mathematics (UBM) program significantly increased undergraduate research in the biomathematical sciences. We discuss three UBM-funded student research projects at Clarkson University that lie at the intersection of not just mathematics and biology, but also other fields. The…

As an extension to various sponsored summer undergraduate research programs, academic year research for undergraduate students is becoming popular. Mathematics faculty around the country are getting involved with this type of research and administrators are encouraging this effort. Since 2007, we have been conducting academic year research at…

We share an example of how we organize our undergraduate research projects.

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…