Provided is an analysis, using concepts from geometry, algebra, and trigonometry, to explain the apparent loss of area in the rug-cutting puzzle. (MNS)

Examples are given of computer activities in analytic geometry. (MK)

After students learn that it is impossible to trisect an angle using compass and straight-edge, students are introduced to the trisectrix curve which accomplishes the trisection. (SD)

Presents lessons with activities that integrate a science unit about seasons, energy from sunshine, and radiation from the sun, with a mathematics unit about angles and trigonometric functions. (ASK)

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)

Presented are five short articles which describe innovations in mathematics teaching. Included are "Polar Summation,""The Age of the Solar System,""Forward Homework--A Motivational Tool,""Trigonometric Identities through Calculus," and "Algorithms for Evaluation of Polynomials." (CW)

Geometric interpretations and derivations of the six trigonometric relationships are demonstrated. Selected for discussion are limiting values, geometric verification of trigonometric identities, a one-dimensional illustration of the Pythagorean relationships, and the geometric derivation of infinite-series relationships. (DE)

Presents an extension of a Japanese mathematics lesson involving the area of a triangle and introduces concepts from trigonometry. (ASK)

Presents students' successful writing assessments which alleviate students' fears by assigning interesting trigonometry problems and places students in a setting in which they use critical thinking skills, express their ideas verbally with other students, express their mathematics in writing, and have fun. (ASK)

This document lists mathematics objectives for Boston high school students. All objectives are presented in two columns. The left-hand column states each objective in general terms and gives an idea of its scope. The right-hand column gives a specific example of what students should be able to do when the objective is achieved. Objectives are…

The subject of parallax can motivate learning related to measurement of lengths and angles as well as provide an introduction to trigonometric concepts. (SD)

Provides computer programs (for Apple microcomputers) for drawing (in high resolution graphics) a three-leaved rose, concentric circles, circumscribed and inscribed astroids. Sample output and discussions of the mathematics involved in the programs are included. (JN)

Details are given of a simple computer program written in BASIC which calculates the sine of an angle through an application of DeMoivre's Theorem. The program is included in the material, and the program's success is discussed in terms of why the approximation works. (MP)

Describes an instructional strategy to convey the elements of trigonometry to introductory physics students. (SK)

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)