Looks at the solution to the mathematical-modeling problem asking students to find the smallest percent of the popular vote needed to elect a President. Provides assumptions from which to work the problem. (MDH)

Explores the subject of fractal geometry focusing on the occurrence of fractal-like shapes in the natural world. Topics include iterated functions, chaos theory, the Lorenz attractor, logistic maps, the Mandelbrot set, and mini-Mandelbrot sets. Provides appropriate computer algorithms, as well as further sources of information. (JJK)

Focuses on the fascinating topic of soap films to allow students to use practical methods during their investigations into the underlying mathematics of soap film geometry. Provides directions and illustrations for the investigative mechanisms, as well as describing the mathematical equations involved. (JJK)

Outlines various methods for constructing cardboard polyhedra that can be helpful in the learning of geometric concepts and relationships and can also provide the student with a rewarding, inspiring, and colorful output for display. Includes selected illustrations of suitable construction techniques, as well as finished products. (seven…

Considered is the open-ended question of the various means of marking an n-inch ruler so that the distance of any integral number of inches from 1 to n can be ascertained with a single measurement. The relationship between a sparsely marked ruler, which is one gracefully marked with the fewest number of marks, and specific discrete graphs is…

Discusses the process of generalization. Illustrates the process by generalizing the classic problem of how a farmer can get a fox, a goose, and a bag of corn across a river in a boat that is large enough only for him and one of the three items. (MDH)

Fractal geometry is introduced through examples of computational exploration of coastlines, self-similar curves, random walks, and population growth. These explorations, which include the construction of algorithms and the subsequent development and application of simple computer programs, lend themselves to self-directed study and advanced…

Presents remarks from the Presidential Address at the 75th Annual Meeting of the National Council of Teachers of Mathematics held in Minneapolis in April, 1997. Two major challenges addressed were the need to change classroom practice and the need to rethink the definition of "basic". (AIM)

In this article, the author introduces a series of practical strategies to support the development of an innovative and technology-rich curriculum. The author begins with the importance of understanding what possibilities for innovation exist given the relationship between curriculum, equity issues, and education reform. The author then discusses…

An annual mathematics contest which includes oral presentations by participants is described. (SD)

The author reviews the history of the Fibonacci sequence and its relation to Pascal's triangle. (SD)

A mathematics contest, held to acquaint able high-school students with their area community college, is described. (SD)

This booklet contains 11 modules (290 multiple-choice items) designed for use in the first course of a three-course calculus sequence using the textbook "Calculus with Analytic Geometry" (Dennis G. Zill). In each module, relevant sections of the textbook are identified for users. It can, however, be used in conjunction with any calculus textbook.…

This is an activity-oriented guide for general mathematics classes, grades 8-12. Mathematics used includes measurement, estimation, time, computation, ratio, and money. Students assume the role of an industrial engineering technician determining the amount of time allowed and operator pay for completing an operation on a production line. A deck of…