Archimedes viewed the method of centroids as a valuable tool for intuitive discoveries. This article presents several uses of this technique and discusses how the method of centroids could be used in secondary schools. (Author/MK)

Suggests specific topics in inferential logic which might be incorporated into the geometry course and illustrates how the use of inference schemes may help justify the effectiveness of proof techniques. (MNS)

The curriculum guide correlates concepts in geometry with career-oriented concepts and activities. The curriculum outline format gives the concepts to be taught, matched with related career-oriented performance objectives, concepts, and suggested instructional activities in facing page layouts. The suggested curriculum outline is compatible with…

Worksheets for duplication concerned with classification and measure of various geometric shapes are given. (MK)

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)

Algebra is used to expand the historic construction of the arithmetic, geometric, and harmonic means to include the quadratic mean and a fifth mean. (MK)

A didactic principle of operative concept formation is described and explained. It is argued that this principle meets current demands for practical geometric activities with concrete forms and for the exploration of the primordial relation between geometry and reality. (MK)

How geometry can play an important role in the teaching and learning of mathematics is discussed. The past roles of geometry in the Australian curriculum, possible approaches to teaching geometry, and the role of geometry today are each discussed, with some suggestions for teaching brighter students. (MNS)

The curriculum guide for secondary level, career-oriented General Mathematics Part 1, correlates performance objectives in basic mathematics with career-oriented concepts and activities. The material is designed to lead the student in a systematic development that provides for continuous progress. The guide is in outline format, providing a…

Mnemonic devices to aid in the teaching of perimeter and circumference are suggested. (MK)

Study of circular transformation and its associated properties is proposed as review and reinforcement of familiar concepts and for developing broader understanding of transformations. Inversion on a circle is discussed in some detail. (MNS)

The curriculum guide for secondary level, career-oriented General Mathematics Part 2, correlates performance objectives in basic mathematics with career-oriented concepts and activities. The material is designed to lead the student in a systematic development that provides for continuous progress. The guide is in outline format, providing a…

Guidelines that were prepared for use in curriculum development efforts by schools and districts throughout the state of Washington are presented in this document. The philosophy of mathematics education reflected in these guidelines is presented, as are a discussion of areas to be addressed if needed improvements in the K-8 mathematics program…