This study investigates whether the functions linking number-correct scores to the College-Level Examination Program (CLEP) scaled scores remain invariant over gender groups, using test data on the 16 testlet-based forms of the CLEP College Algebra exam. To be consistent with the operational practice, linking of various test forms to a common…

As part of a three-phase study, 18 items were developed to measure aspects of a student's willingness to seek help from and/or work with peers and teachers when studying college mathematics. In the first phase, 24 items were developed and administered to 165 undergraduate college students. During the second phase, 20 items, modified from the first…

Supplemental Instruction has a long history of effective use in third level education in the United States. However, there are few rigorously controlled studies in which the potentially confounding effects of student aptitude and experience and of "volunteer effects" have been controlled. Analysis of the effects of peer assisted learning…

The Math Forum is an online resource center for pre-algebra, algebra, geometry and pre-calculus. Its Virtual Math Teams (VMT) service provides an integrated web-based environment for small teams of people to discuss math and to work collaboratively on math problems or explore interesting mathematical micro-worlds together. The VMT Project studies…

Consider the family of monic polynomials of degree n having zeros at -1 and +1 and all their other real zeros in between these two values. This article explores the size of these polynomials using the supremum of the absolute value on [-1, 1], showing that scaled Chebyshev and Bernstein polynomials give the extremes.

The focus of the article is on the complex cognitive process involved in learning the concept of "straightness" in Non-Euclidean geometry. Learning new material is viewed through a conflict resolution framework, as a student questions familiar assumptions understood in Euclidean geometry. A case study reveals how mathematization of the straight…

Mathematics Support Centres are to be found in various forms in the majority of UK higher education institutions. They have been established in order to ease widespread and serious difficulties that a significant number of students have with mathematics, particularly at the school-university transition. They usually offer mathematics and/or…

This article presents a case study of a two-year pilot to increase pre-collegiate math course success rates at a large community college. The EnableMath pilot involved the use of computerized software that allowed students to practice math problems in a lab during class time. Additional components of the program included the administration of the…

The use of Computer Algebra Systems (CAS) is becoming increasingly important and widespread in mathematics research and teaching. In this paper, I will report on a questionnaire study enquiring about mathematicians' use of CAS in mathematics teaching in three countries; the United States, the United Kingdom, and Hungary. Based on the responses…

Ongoing action research at the University of Pretoria investigates first-year students' preparedness for a study in calculus. In 2005 first-year engineering students completed a mathematics diagnostic survey at the beginning and end of the year. In this article the results of the 2005 survey are compared with the students' final school marks in…

One prohibitory component to graduation rates in college is the lack of student success in college algebra. The current national passing rate of college students enrolled in college algebra is approximately 40 percent. Lack of success in college algebra creating higher enrollments in remediation courses for students has also been linked to…

As the title says, this article considers the dog-on-the-beach problem from the perspective of the calculus of variations, making connections with the brachistochrone problem and Snell's law.

Many difficulties surrounding mathematical induction have been described by researchers. In this paper, I describe several underlying causes for these difficulties. In particular, the symbolic nature of induction is discussed, along with student cognitive levels, validation abilities, and proof schemes.

It has been reported that the students' level of mathematics when entering university has changed in recent years. A surprising number of students struggle with mathematics or have a mathematics anxiety. Although this was widely reported within the UK, there was some uncertainty if colleagues in other countries were experiencing the same…

There are increasing concerns about the mathematics ability of students entering higher education. This situation appears to be as a result of the perceived lowering standards of A Levels, a reduction in entry requirements on some courses with a strong mathematical component and the wide-ranging educational backgrounds of many of the students.…