The philosophy and contents of a single one-year course preparatory to college algebra and trigonometry are presented. (MM)

A Snip of the Scissors" describes the geometry involved in making stars by paper folding, and Checking the Calculated Average Through Subtraction" suggests practice in operations with negative numbers. (MM)

An approach is presented that is based on modifying the standard axiomatic system found in high school geometry books. Such changes start with the introduction of a side-angle-side (SAS) postulate for similar triangles. It is shown how the new system can prove existence and uniqueness of parallel lines. (MP)

A Norman window consists of a semi-circular section mounted surmounting a rectangular section. Modifications to a simple problem are presented that assume parts of the window are made with stained glass. The goal is to maximize the level of light transmission with a fixed perimeter. (MP)

Reviews graphical methods for representing ternary and quaternary systems, focusing on use of triangular composition diagrams. Examines some of the relevant geometry of triangles in general, showing that right isosceles triangles possess some very advantageous features for representing ternary systems. (JN)

Geometry is viewed as the most neglected area of the elementary school mathematics curriculum. Tangram activities provide numerous worthwhile mathematical experiences for children. A method of constructing tangrams through paper folding is followed by suggested spatial visualization, measurement, and additional activities. (MP)

Almost-Regular Polygons (ARPs) are viewed as interesting, but hardly ever noticed. The growing availability of computers means that such figures can be examined. A program written in BASIC which was developed to generate and test large blocks of cases is presented and described. (MP)

The nature of the corner reflector array left on the moon by the July 1969 Apollo astronauts is described. The array was used to reflect earth-originating laser beams back to earth, and yielded a more accurate determination (to within six inches) of distance from the earth to the moon. (MP)

The activities presented here focus on symmetry. The materials aim to provide experience in: (1) observing grid-drawn pictures and coloring in appropriate squares; (2) making symmetric designs about two lines of symmetry; (3) using a ruler and protractor; and (4) using a ruler, protractor, and compass. Worksheet masters are provided. (MP)

An approach to teaching problem solving to preservice and in-service middle school teachers is described. They examined an unsolved question as a class research project. The process of developing the solution is detailed, and difficulties contained within the process are noted. (MP)

The material examines aspects of Fibonacci and Lucas sequences, the generation of the Divine Ratio, and the nature of this ratio in golden rectangles, triangles, and figures made up of golden triangles. It is noted Lucas sequence is formed like Fibonacci but has one and three as the first elements. (Author/MP)

This game uses attribute blocks to encourage the formation of problem-solving strategies, provide drill in the addition of randomly generated numbers, and aid in pupil recognition of pictorial representations of geometric shapes. The material is based on the psychological principles common to other attribute games. (MP)

The first idea discusses the use of Pascal's triangle to discover the total number of gifts presented during the 12 days of Christmas. The second idea looks at an approach to viewing L'Hospital's rule that is geared toward helping beginning calculus students develop a feeling as to why it works. (MP)

The use of microcomputers to aid geometry instruction is emphasized through discussion of a program written in BASIC which provides for experimenting with polynomial curves. The program listing is included. (MP)