Discusses the language-inquiry approach to learning geometry and describes the use of geometry stations to promote this inquiry. (Author)

Explains how middle school mathematics topics are often taught as separate, discrete topics without a unifying thread. Discusses the importance of proportionality as a concept with the potential to untie, relate, and clarify many important, complex middle grades ideas into a cohesive theme. (YDS)

Uses concrete models to teach conventional algebraic topics with emphasis on connections to other mathematical concepts such as notion of variable, number properties, and geometry. (Contains 10 references.) (YDS)

Describes a method for teaching Euler's line, the co-linearity of the circumcenter, centroid, and orthocenter of a triangle. Discusses teaching results. (KHR)

The advent of powerful, affordable output devices offers the potential for a vastly expanded landscape of computationally-enriched mathematical craft activities in education. Craft activities have both intellectual and emotional affordances that are relatively lacking in "traditional" computer-based education. Describes three software applications…

Investigates what the role of arguments from physics within mathematical proof is, and how this role should be reflected in the classroom. Presents examples showing the fruitfulness of center of gravity arguments in terms of geometrical configuration and the laws of the lever. Discusses educational advantages of the use of arguments from physics…

Presented is an example of a typical geometry theorem which can be used to create geometry test questions and geometry contest questions. Thirteen problems are suggested. (CW)

Four algebra problems and their solutions are presented to illustrate the use of a mathematical theorem. (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)

Discusses the need for a geometry course in a two-year college mathematics program. Provided are guidelines for developing the geometry course separately or integrally with current curricular pattern. (25 references) (YP)

A problem concerning circles and points from a comic strip is presented. Its solution, using coordinate geometry, is then presented. The problem demonstrates how much one can learn by looking beyond the simple or partial solutions to a problem. (MNS)

An easier-to-understand alternative to the usual proofs of inequalities in triangles is presented. (MNS)

Presents a model for teaching reasoning using technology in the contexts of algebra and geometry. (MKR)

Includes two activities: (1) a skit to review variations of the trigonometric functions, and (2) a geometry problem about maximizing costs that exposes students to a variety of different solution strategies and makes the material more meaningful. (MKR)

Describes two problem-solving videodisc adventure stories related to geometry and reports reactions of (n=25) teachers and their students who used the adventures. Results found teachers and students had increased knowledge of ways to apply geometry. (12 references) (MKR)