Presents an example of a proof to the mathematical problem of the sum of the cubes of the digits. Provides a Pascal program to search for these results. (MVL)

Analyzed were 19 preservice teachers' understanding of division in 3 contexts. The teachers' knowledge was generally fragmented, and each case of division was held as a separate bit of knowledge. (Author/YP)

Discusses the use of the mathematics classroom for discovering the relationship among computers, mathematics, and real-world problems. Provides three probability problems and compares the results of three methods, actual trial, computer simulation, and mathematical solution. (YP)

Describes a five-dice game, horse. Discusses the offensive player's strategy using the ideas of probability, such as counting outcomes, mutually exclusive events, conditional probabilities, zero sum games, and the use of computer. (YP)

Reports on mathematics myths held by a group of preservice elementary school teachers. Describes some math myths surveyed. Discusses ways to change beliefs about mathematics and issues related to beliefs. (YP)

Hypermedia provides an easy-to-use option for adding visualization, via the computer, to the classroom. Some examples of this medium are presented, including applications in basic linear algebra and calculus, and a tutorial in electromagnetism. (Author)

Presents one model for a liberal arts mathematics course that combines probability and calculus. Describes activities utilized in the course to heighten students' interest and encourage student involvement. Activities include use of visualization, take-home tests, group problem solving, research papers, and computer usage with DERIVE computer…

Computational environments that provide integrated numeric, symbolic, and graphical capabilities provide new opportunities for laboratories in Numerical Analysis. Hermite interpolation is one topic that can benefit from such an environment. Describes a laboratory session using Mathematica that allows students to actively experience Hermite…

Presents four areas of advanced mathematical research (fuzzy set theory, subjective probability, search theory, and Voronoi diagrams) that are proposed for introduction into teacher education programs from an elementary, survey perspective without the intention of accomplishing formal mathematical research, thereby challenging teachers' beliefs…

Describes the mechanics of group work in the college mathematics classroom specifically group formation, preliminary class work, class and group discourse, individual and group assignments, and impact on test taking. Includes examples from a first-semester calculus course. (JJK)

Discussed is an application of the computer software package, "Mathematica," to solve typical optimization problems from freshman calculus. An example of the use of this method is provided. (CW)

Discusses an activity which models the building of a tunnel by ants using the definitions of derivative and indefinite integral from calculus. Includes a discussion of reasonableness and interpretation of the problem. (MKR)

This article addresses the enhancement of the learning environment by using Java applets in the mathematics classroom. Currently, the first year mathematics program at the United States Military Academy involves one semester of modeling with discrete dynamical systems (DDS). Several faculty members from the Academy have integrated Java applets…

A sequence of number pairs can be used to generate many interesting examples in teaching mathematics subjects at various levels. It is often used in elementary or middle school mathematics classes to illustrate the concept of "patterns." In this paper the authors present a few interesting ways of using this sequence to form examples for high…

This paper presents an application of integration to the field of hydraulics. An integral relation for the time required to drop the fluid contained in a cylindrical tank from one level to another using a hole in the tank wall is derived. Procedures for constructing the experimental equipment and procedures for determining the coefficient of…