The present study aimed to investigate in what way and to what extent Taiwanese college students' epistemological views of mathematics had evolved during a history-based liberal arts mathematics course titled: "When Liu Hui Meets Archimedes--Development of Eastern and Western Mathematics." The course was designed to help college students…

This article discusses the creation of a student project about linear difference equations using primary sources. Early 18th-century developments in the area are outlined, focusing on efforts by Abraham De Moivre (1667-1754) and Daniel Bernoulli (1700-1782). It is explained how primary sources from these authors can be used to cover material…

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…

The purpose of this article is to describe the actuarial science program at our university and the development of a course to enhance students' problem solving skills while preparing them for Exam P/1 of the Society of Actuaries (SOA) and the Casualty Actuary Society (CAS). The Exam P/1 prep course, formally titled Mathematical Foundations of…

We derive the additive property of Poisson random variables directly from the probability mass function. An important application of the additive property to quality testing of computer chips is presented.

This article presents a problem-based approach that prepares students for future learning in the classroom. In this approach, students complete problem-based activities before coming to class to familiarize themselves with the topics to be covered. After the discussion on how the use of these activities relate to the learning and transfer…

This article discusses how teachers can create cartoons for undergraduate math classes, such as college algebra and basic calculus. The practice of cartooning for teaching can be helpful for communication with students and for students' conceptual understanding.

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…

We describe several service-learning initiatives implemented by the mathematics and education departments. College students with majors and minors in math and math education have helped to design and implement math events for elementary and middle school students. Formal and informal reflections on these service-related experiences have…

The use of open-book tests, closed-book tests, and notecards on tests in an introductory statistics course is described in this article. A review of the literature shows that open-book assessments are universally recognized to reduce anxiety. The literature is mixed however on whether deeper learning or better preparation occurs with open-book…

Instructors are constantly struggling to help students understand mathematical concepts as well as the relevance of mathematics to the real world. In calculus, students possess misconceptions of the limit concept. "Pushing the Limit" refers to a semester-long calculus class project that required students to read about, interview calculus…

In this article, we report on a semester-long study of the incorporation into our general chemistry course, of advanced algebraic and computer algebra techniques for solving chemical equilibrium problems. The method presented here is an alternative to the commonly used concentration table method for describing chemical equilibria in general…

Research has shown that a significant majority of students in remedial mathematics do not remediate successfully. Such widespread failure raises the question of motivation. Some would argue that the instructor should directly compel students to commit themselves to the course and its work. This can be done by mandating attendance and/or by…

With the help of the National Science Foundation, the Department of Mathematics at the University of Puerto Rico in Mayaguez has developed a set of manipulatives to help students of science and engineering visualize concepts relating to points, surfaces, curves, contours, and vectors in three dimensions. This article will present the manipulatives…

This article is the story of a very non-standard, absolutely student-centered multivariable calculus course. The course advocates the so-called problem method in which the problems used are a bridge between what the learners know and what they are about to know. The main feature of the course is a unique conceptual story that runs through the…