Four of the author's favorite calculus word problems are presented. These aid students in recognizing and applying concepts in contexts unlike those in typical textbook problems. (MNS)

By developing a sequence of mathematical models of harmonic motion, shows that mathematical models are not right or wrong, but instead are better or poorer representations of the problem situation. (MKR)

A preservice teacher education course involving the applications for a computer within the mathematics classroom is described in terms of its evolution from a workshop to a regular curricular offering. Included are samples of computer experiments which suggest computer teaching activities for the prospective teacher lacking in field experience.…

Presents a qualitative and global method of graphing functions that involves transformations of the graph of a known function in the cartesian coordinate system referred to as graphic operators. Explains how the method has been taught to students and some comments about the results obtained. (MDH)

Describes how the computer algebra system Mathematica can be used to enhance the teaching of the topics of sequences and series. Examines its capabilities to find exact, approximate, and graphically generated approximate solutions to problems from these topics and to understand proofs about sequences. (MDH)

Introduces a proof of Sarkovskii's Theorem based on the intermediate value theorem, making it accessible to readers with knowledge of calculus. The theorem deals with k-period continuous functions, functions for which fk(x)=x, where fk(x) is the composition of the f function k times. (MDH)

A model of the inelastic collision between two spheres rolling along a horizontal track is presented, taking into account the effects of frictional forces at impact. This experiment makes possible direct estimates of the coefficients of restitution and friction. (Author)

Discussed is the physics that underpins Schuster's technique for obtaining a parallel light beam for use in various prism and grating experiments. Basic physics concepts using geometrical optics of prism, together with elementary differential calculus are explained as well as the mechanics of Schuster's technique. (KR)

Discussed is the method of substitution of variables within the framework of precalculus level extremum problems, both maximum and minimum. Many examples with graphical representations are provided. (JJK)

Discusses ways in which a mathematical pedagogy seminar can be an enlightening, engaging, and sometimes entertaining experience through which to bring together departmental colleagues and their students. Suggests logistics for such a seminar, 25 topics, and readings. Contains 64 references. (Author/ASK)

Discusses some of the differences between the ways mathematicians and physicists view vector calculus and the gap between the way this material is traditionally taught by mathematicians and the way physicists use it. Suggests some ways to narrow the gap. (Author/ASK)

Calculus students have great trouble visualizing solids of revolution and their cross sections. Illustrates the use of props in order to help students understand the solid revolution. (ASK)

Alternative forms of evaluation can provide deep and powerful learning experiences for students. Explains how to implement portfolios as an evaluation tool and describes a problem that was successfully implemented in a second semester reform calculus class. (Author/ASK)

Surveys a group of students who enrolled in a first year university mathematics course to study the impacts of graphing calculators on the Western Australian Tertiary Entrance Examination (TEE). Considers the perceptions of students on their use of and preparation to use graphing calculators. (ASK)

Outlines the discovery of an advanced calculus class based on the generalization of the relationship between the volume of a right circular cone and the volume of a right cylinder with same height and base radius while studying solids of revolution. Relates the course of discovery and concludes with plans to use it to try to generate the same…