This study was designed to investigate mathematics performance as a function of anxiety, with examination for a relationship between mathematics and test anxiety and any sex differences on mathematics anxiety. The effects of evaluative stress on high and low mathematically anxious subjects was examined, and preliminary effort was made to…

This paper compliments two recent articles by the author in this journal concerning solving the forced harmonic oscillator equation when the forcing is periodic. The idea is to replace the forcing function by its Fourier series and solve the differential equation term-by-term. Herein the convergence of such series solutions is investigated when…

The purpose of this study was to compare the effectiveness of two teaching strategies, namely, technology-assisted and traditional methods of teaching in undergraduate algebra classes. Fifty-eight second-year mathematics education undergraduate students in an algebra class were randomly divided in equal numbers into two groups. One group was…

The purpose of this study was to explore the use of a cognitive computer tool by undergraduate calculus students as they worked cooperatively on mathematical tasks. Specific attention was given to levels of cognitive demand in which the students were engaged as they completed in-class labs with the assistance of MathCAD. Participants were assigned…

The purpose of this paper is to offer a framework for categorizing and describing the different types of processes that undergraduates use to construct proofs. Based on 176 observations of undergraduates constructing proofs collected over several studies, I describe three qualitatively different ways that undergraduates use to construct proofs. In…

Literature suggests that the type of context wherein a task is placed relates to students' performance and solution strategies. In the particular domain of logical thinking, there is the belief that students have less difficulty reasoning in verbal than in logically equivalent symbolic tasks. Thus far, this belief has remained relatively…

We review the processes of goal identification employed in teacher planning. A new type of graphical organizer (Fact-Action-Schema-Transcript or FAST) is introduced and its applications to teacher planning discussed. We describe a pair of algorithms for (a) creating FASTs for undergraduate mathematics and (b) using FASTs to create sets of student…

This essay paper discusses the decline in the numbers of students studying mathematics at German universities. Sections on mathematics in German secondary schools, reasons for the decline in numbers, and issues related to reversing the trend are included. The article also highlights the German "Diplom" and mathematics departments in…

Discusses the importance of introducing undergraduate students of mathematics to available library materials in mathematics in order to develop a sense of the history, literature, and methods of mathematical research and inquiry. Three library based assignments that could be integrated into intermediate or advanced level mathematics courses are…

The possibility of approximating a function with a linear combination of exponential functions of the form e[superscript x], e[superscript 2x], ... is considered as a parallel development to the notion of Taylor polynomials which approximate a function with a linear combination of power function terms. The sinusoidal functions sin "x" and cos "x"…

Sex differences in spatial visualization ability accounted for sex differences in mathematical ability for a group of college students. With spatial visualization statistically controlled, no significant sex differences in Quantitative Scholastic Aptitude Test scores were found. Males were more predictable than females due to higher spatial…

A study of undergraduate actuarial graduates found that math SAT scores, verbal SAT scores, percentile rank in high school graduating class, and percentage score on a college mathematics placement exam had some relevance to forecasting the students' grade point averages in their major. For both males and females, percentile rank in high school…

This article describes a reading and writing project designed for an undergraduate survey course in mathematics. For the Math Book Club, students in groups of four read and discuss one of six books related to mathematics and the history of mathematics. As part of the assignment, students take turns developing discussion questions and summarizing…

This report is intended to give an indication of the variety of careers available to persons with interest and preparation in the mathematical sciences. Each part focuses on a particular class of professions, with necessary training as well as the character of the work and general conditions of employment described. Parts I through V deal with…

This paper presents analyses of score reliability for a mathematics placement test developed by the Mathematical Association of America in 1984 for use with undergraduate college students. Subjects included all 589 students seeking admission to the college mathematics curricula at a private university in the South during the course of the study.…