This article presents a project that is meant to deepen student understanding of what it would mean for one preference voting method to be "better" than another. In the project we show the students how to rigorously compare the methods of plurality and plurality with elimination, and we then allow them to compare two other voting methods…

For the past several years, attention has turned toward reviewing and reframing the curricular pathways in math for students, particularly at the postsecondary level. Focus has shifted not only to math preparedness, but also to redefining the curricular pathways that lead to academic and career success. In higher education, the central principle…

In nineteenth-century America, students buried their mathematics books. This practice consistently celebrated the milestone of passing through collegiate mathematics, yet it changed due to national events. This article considers the case of Bowdoin College, where students buried their books differently before and after the Civil War. Antebellum,…

FOIL is a well-known mnemonic that is used to find the product of two binomials. We conduct a large sample (n = 252) observational study of first-year college students and show that while the FOIL procedure leads to the accurate expansion of the product of two binomials for most students who apply it, only half of these students exhibit conceptual…

Calculus is one of the primary avenues for initial quantitative training of students in all science, technology, engineering, and mathematics fields, but life science students have been found to underperform in the traditional calculus setting. As a result, and because of perceived lack of its contribution to the understanding of biology, calculus…

This paper describes a collaboration between a mathematician and a compositionist who developed a sequence of collaborative writing assignments for calculus. This sequence of developmentally appropriate assignments presents peer review as a collaborative process that promotes reflection, deepens understanding, and improves exposition. First, we…

By analysis of student use of mathematics in responses to conceptual physics questions, as well as analogous math questions stripped of physical meaning, we have previously found evidence that students often enter upper-level physics courses lacking the assumed prerequisite mathematics knowledge and/or the ability to apply it productively in a…

The goal of this study was to examine the pathways to being college ready in mathematics. Students who enter high school already having demonstrated mathematics proficiency on a standardized test in the 8th grade have already taken a significant step towards being college ready. The best scenario is to enter high school proficient in mathematics…

Many undergraduate students admit to having a fear of math courses. To address this issue, the authors created a learning community that teaches math content in the context of science. This paper outlines the positive learning and dispositional results of freshman enrolled in this unique interdisciplinary course. (Contains 5 tables.)

Most undergraduate programs require completion of a mathematics course, but pass rates in these courses are often low. To determine predictors of student success in 100-level mathematics courses at the University of Southern Maine, we used a questionnaire to collect information on possible predictors of grade (student demographics, attitude,…