Discussed are two approaches to determining which regular polygons, either inscribed within or circumscribed about the unit circle, exhibit rational area or rational perimeter. One approach involves applications of abstract theory from a typical modern algebra course, whereas the other approach employs material from a traditional…

Investigates the impact of faculty and student characteristics on the performance of students in their last developmental mathematics course and in college algebra. Reveals that faculty gender and employment status, and student age, ethnicity, and enrollment status were significantly related to student performance in both developmental mathematics…

This study examined differences between men and women in intermediate and college algebra courses in an urban university's mathematics lab. Variables examined included grade, hours worked, semester course load, grade point average, time spent in mathematics lab, and age. Women had better course grades than men in intermediate and similar grades in…

Six specific instances in which supplemental instruction (SI) leaders guide student inquiry in college algebra and calculus are described. The active learning strategies used in the situations are analyzed, focusing on the role of the leader and the support provided by SI leader training and supervision. (MSE)

Examples of subroutines that generate both symbolic and graphic solutions to differential equations are presented for the two computer algebra systems, MAPLE and Mathematica. Included are the listings for the Mathematica procedures developed for use in this article. (JJK)

Presents a theoretical framework based on interviews with undergraduate students and written questionnaires to study how undergraduate students cope with abstract algebra concepts. Indicates that students' responses can be interpreted as a result of reducing the level of abstraction. Examines the theme of reducing abstraction based on three…

Describes teacher and student experiences in a college algebra course at a high school when assessment practices changed. (ASK)

Research has often found little or no significant differences in overall performance for math students using graphing calculators compared to traditional (non-calculator) classes. However, when performance is divided into procedural and conceptual levels, significant differences appear at the conceptual level. This study investigates the relation…

Described is a decomposition theory from which the Cayley-Hamilton theorem, the diagonalizability of complex square matrices, and functional calculus can be developed. The theory and its applications are based on elementary polynomial algebra. (KR)

Miami-Dade community colleges and middle schools participated in a three-year project designed to improve female students' mathematics skills and prepare them for technical jobs. Faculty encouraged the application of transactional writing in college and middle school algebra, to determine whether combining communication skills with mathematical…

Mathematics software can be a great aid in understanding difficult mathematics concepts at all levels. This paper presents nine exercises on calculus concepts by using different software used in mathematics education. Each exercise includes instruction on how to use software in order to highlight a specific concept in mathematics. This paper also…

The purpose of this study was to determine if there were differences in math achievement of students taught in an interactive television (ITV) class setting with the instructor present (host site), students receiving instruction via television at an off-campus location (remote site), and students taught in a traditional classroom setting. The…

Developed by the major committees of the Minnesota Mathematical Association of Two-Year Colleges (MinnMATYC) and approved by its Executive Board, these four position statements are intended to guide discussion and influence decisions affecting mathematics in Minnesota's two-year colleges. The first position statement suggests that the prerequisite…

Presenting 12 data tables, this report documents fall 1996 success rates for 11 developmental and developmental-type advanced and professional courses at Florida's Pensacola Junior College. Following an introductory table showing success rates for each course and defining success rate as the percentage of enrolled students who earned a grade of C…

Four algebra problems and their solutions are presented to illustrate the use of a mathematical theorem. (CW)