The first section promotes use of student notebooks in mathematics instruction as incentives for pupils to do daily work. Part two looks at a geometric interpretation of the Euclidean algorithm. The final section examines an open box problem that is thought to appear in virtually every elementary calculus book. (MP)

An examination of a student question concerning a calculus problem leads to a discussion of some of the symmetric properties of a specific set of polynomials. (MP)

The use of mobiles to illustrate mathematical concepts, some areas for student investigation of the equation for the general form of a line that begins with switching the coefficients, and some examples of indeterminacy of the basic types of limits suitable for beginning students are presented and discussed. (MP)

Ways to incorporate student mistakes in the instruction of mathematics at the undergraduate level are discussed. A sample investigation of a pupil error with a formula from Calculus is featured. (MP)

A brief sketch of the development of integral calculus is given, beginning with ancient Greek thought around 500 BC, and ending with Newton and Leibniz. (MP)

A method is presented for determining cube roots on a calculator with square root facility that has a rapid rate of convergence. (MP)

Gives a sketch of some topics in distribution theory that is technically simple, yet provides techniques for handling the partial differential equations satisfied by the most important Green's functions in physics. (Author/GA)

Investigates the effects of instructional environment on students' conceptual understanding and procedural knowledge of calculus. Uses multiple achievement measures to determine the degree to which students from different instructional environments had mastered the concepts and procedures inherent to first semester calculus. Indicates no…

This article traces some of the events leading up to the call for reform, differing aspects of the suggested reform, steps taken, and possible future directions for the reform of calculus instruction. (CW)

Presents some examples from geometry: area of a circle; centroid of a sector; Buffon's needle problem; and expression for pi. Describes several roles of the trigonometric function in mathematics and applications, including Fourier analysis, spectral theory, approximation theory, and numerical analysis. (YP)

Reviews the underpinnings of synthetic division. Shows how to quickly obtain the coefficients of the Taylor expansion of a polynomial about a point, and a partial fraction decomposition of a polynomial. (MVL)

Investigates the extent to which visual considerations in calculus can be taught and be a natural part of college students' mathematical thinking. Recommends that the legitimacy of the visual approach in proofs and problem solving should be emphasized and that the visual interpretations of algebraic notions should be taught. (YP)

Reports results of a survey of demographics and work and study habits of college freshmen mathematics students. No statistically significant correlation was found between work hours and grade outcome. (Author/MKR)

An interactive, multimedia text for calculus instruction that contains the entire contents of a corresponding textbook is evaluated and found to have features that enhance concepts with dynamic examples of graphs and problems that make good use of animation, audio, and video. Its design accommodates diverse student abilities and educational…