This article describes the author's experience designing and implementing an inquiry-based learning (IBL) pedagogical approach to an upper-division undergraduate cryptology course. The author shares the course goals and how the IBL style supports their achievement. The article concludes with sample activities -- in-class exercises that touch on…

Though posters have been used as a pedagogical tool in a variety of fields, the literature suggests that the use of posters as an educational assessment tool by the mathematics community has been limited. This is unfortunate given the numerous potential benefits of a poster, including the development of oral communication skills and the ability to…

Gateway testing is an important pedagogic tool employed by many university mathematics departments in calculus and precalculus courses. With a goal of ensuring that students attain needed basic skills in courses with a conceptual "reform" orientation, these tests provide an efficient means of assessing a large volume of student work,…

Quantum Information Science (QIS) is an interdisciplinary field involving mathematics, computer science, and physics. Appealing aspects include an abundance of accessible open problems, active interest and support from government and industry, and an energetic, open, and collaborative international research culture. We describe our student-faculty…

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…

This article describes our modeling approach to teaching the one-dimensional heat (diffusion) equation in a one-semester undergraduate partial differential equations course. We constructed the apparatus for a demonstration of heat diffusion through a long, thin metal rod with prescribed temperatures at each end. The students observed the physical…

Many institutions wish to offer a path for students pursuing actuarial careers but lack the student demand to offer new courses or hire additional faculty. Fortunately, a program training students to enter the profession can often be constructed using existing courses and well-informed advising.

In 2007, the B.S. in Applied Mathematics program consisting of five concentrations, including Actuarial Science, began at West Chester University of Pennsylvania, and we graduated our first class (of one) that December. We describe our program, some ideas to consider when planning your own program, and share some of the successes of our program…

This paper provides suggestions for preparing students to take the actuarial examination on financial mathematics, SOA/CAS Exam FM/2. It is based on current practices employed at Slippery Rock University, a small public liberal arts university. Detailed descriptions of our Theory of Interest course and subsequent Exam FM/2 prep course are provided…

This article will describe a writing assignment designed for use in a liberal arts college whose mission stresses effective written communication both within and across disciplines. In this assignment, students write three separate solutions to the same mathematics problem: one for a mathematical peer, a second for a contemporary that does not…

This article will describe a project designed for use in a liberal arts mathematics course that satisfies an institutional quantitative reasoning requirement. Students, working in groups of four, are responsible for introducing and explaining new material to the rest of their class. Their "reporting" of mathematical information is…

Saint Joseph's University, a small comprehensive university, implemented a one-credit capstone project for the mathematics major beginning in 2002. After expansion to three credits in 2007, the capstone, although successful, had unintended consequences. In 2010, for both programmatic and practical reasons, the department decided to remove the…

A capstone course is often synthetic, bringing together many components of a student's educational background. For this reason, a project-based course in mathematical modeling makes a great capstone, as modeling problems often require a broad collection of mathematical tools for their solution. The addition of a service-learning component can…

We describe a college math course and summer research project in which students used their math skills to analyze sustainability issues on campus and in the wider community and how these projects contributed to bringing about change in the community. Staff members at the college played an important role in developing and supervising the student…

The combination of classroom voting system (clicker) questions and peer instruction has been shown to increase student learning. While implementations in large lectures have been around for a while, mathematics has been increasingly using clickers in classes of a smaller size. In Fall 2008, I conducted an experiment to measure the effect of…