An exercise that gives students a chance to use the equations of state for both an ideal gas and for an adiabatic process in determining the points at which heat flow reverses direction and at which the working substance reaches its maximum temperature is demonstrated. (KR)

Discusses, analyzes, and provides anecdotes about the calculus reform movement, in general, and the experimental, undergraduate calculus classes at Duke University, in particular. (JJK)

Project Outreach, operated by the Louisiana School for Math, Science, and the Arts, uses computer telecommunications to offer advanced content courses in math, foreign language, science, and the arts to gifted students in rural areas. Evaluation has shown favorable responses from participants and significant gains on a national calculus exam. (DB)

Compared the performance of (n=710) college students taught precalculus using a graphing calculator approach to the performance of students using the traditional approach. Students in the first group scored significantly higher than the others on a comprehensive final exam. (16 references) (Author/MKR)

Discusses a teaching experiment with (n=19) senior and graduate mathematics students. Analysis suggests that students' difficulties with the Fundamental Theorem of Calculus stem from impoverished concepts of rate of change and from poorly developed and coordinated images of functional covariation and multiplicatively constructed quantities.…

After discussing the role of supercalculators within the business calculus curriculum, several examples are presented which allow the reader to examine the capabilities and codes of calculators specific to different major manufacturers. The topics examined include annuities, Newton's method, fixed point iteration, graphing, solvers, and…

Analysis of Strong Interest Inventory Scores from 205 Mexican and 342 U.S. male engineering students/professionals had the following results: (1) interest structure was similar across cultures; (2) Holland's calculus assumption was supported; and (3) a circular rather than an equilateral hexagonal structure was supported. (SK)

Presented is a simple method which may be used to determine points of intersection in graphs of functions if they do exist. Several examples are given with illustrations of the functions. (CW)

Various methods for solving the problem of finding when the hour and minute hand of a watch have the same direction are explored. The relationship of these problems to the educational environment and the maturity of the student are discussed. (CW)

When a rotating figure skater's fully extended arms are pulled back toward the torso, the angular velocity is noticeably increased and the kinetic energy of the skater can also be shown to increase. Discusses the change of the kinetic energy during such a process, and the work necessary for such an increase is derived using a dynamic equilibrium…

Discusses how different meanings can be given to the proof at different levels and branches of mathematics education. (ASK)

Describes four 50-minute lessons in which complex numbers are introduced to year-12 calculus students using hand-held calculators and laptop computers. (ASK)

Provides an overview of recent changes in calculus education at Chinese colleges and universities. Focuses on the changes parallel to the development of computer-assisted instruction (CAI) technology and software. Discusses how the wide application of mathematical CAI software has greatly facilitated mathematical experimentation and offerings of…

Describes three labs designed to help students in a first course on ordinary differential equations with three of the most common numerical difficulties they might encounter when solving initial value problems with a numerical software package. The goal of these labs is to help students advance to independent work on common numerical anomalies.…

Presents a study to describe and understand the thinking processes of students in a computer environment while undertaking mathematical tasks related to the differentiation of functions defined on real numbers. Describes two different approaches, the visual and the algebraic approach, in the thinking processes of calculus students. (Contains 19…