This module, designed for use at the high school level as a four- to eight-hour topic, includes: the geometry of a sphere, the coordinate system used to describe points on the earth's surface, parallel and meridian sailing, and the solution of right spherical triangles. (Author/MK)

Aspects of the source of power of mathematics and the ways in which mathematics works are discussed. The author discusses various philosophies about mathematics, presents several unusual "real world" problems, and reviews the social consequences of the "imposition of mathematics" on humanity. (MP)

Worksheets designed to help students explore factoring integers are presented. (MP)

The use of computer-enhanced resources throughout a second-year algebra course had no significant effect on algebra achievement or attitudes, but some ability differences were noted. (MP)

A college course designed to teach students about the mathematics of symmetry using pieces of wallpaper and cloth designs is presented. Mathematical structures and the symmetry of graphic designs provide the starting point for instruction. (MP)

Two supplementary calculus classes for high school students are described. Both classes were projects sponsored by the Study of Mathematically Precocious Youth (SMPY) of Johns Hopkins University. (MP)

A journal called the Ladies' Diary published from 1704 to 1841, presented mathematical problems, and solutions to the problems. The purposes of the journal are compared to those of Scientific American today. (SD)

Describes the use of math journals in one kindergarten classroom. Asserts that use of the journals, in which children record their problem-solving processes, makes them think about and use various symbols to represent their thoughts; keeps them actively involved in reasoning, comparing, counting, and other mathematical concepts; and encourages…

Discusses the planning, organizing, and implementing of a week of mathematics activities at an elementary school. Describes five activity stations, including activities for mental mathematics, calculator mathematics, estimation, geoboards and tengrams, and graphing and estimation exercises. (YP)

This article explores an application of combinations, geometric series, and elementary probability that arises in a Biblical setting. Describes examples of the applications such as the use of "urim and thummin." (YP)

Presents an example from the combinatorial theory of partially ordered sets. Discusses algorithms of on-line antichain partitioning problems, a topic in discrete optimization. (YP)

Describes investigations of quick cancellation problems in two-digital integers. Generalizes the results to n-digital integer problems. (YP)

Young children benefit from activities that involve various partitions of numbers, especially the number 10. Presented are two activities that require students partition and recombine numbers to solve problems in a gamelike situations. Examples and worksheets are provided. (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)

Proposes the utilization of graph theory to solve optimization problems. Defines the notion of spanning trees and presents two algorithms to determine optimization of a spanning tree. Discusses an example to connect towns by power transmission lines at minimum cost. (MDH)