Suggested are investigations for junior and senior high school students that may lead to discoveries and at the same time provide a variety of practice in computing with fractions. (JP)

Techniques are suggested for preparing practice exercises in algebra and trigonometry. (JP)

A series of laboratory or discovery activity worksheets lead the student to explore the relationship between a given polygon and a figure constructed by rules generated by properties of the given polygon. (JP)

An activity is described which can be used to introduce students to the general divisibility test for nine. (JP)

An activity is presented that involves an unusual multiplicative operation on natural numbers. Described are interesting properties that students may discover when using the new operation. (JP)

Elucidated is the relationship among three threads of mathematical investigations: Kirkman's schoolgirl problems, finite geometries, and Euler's n-square officer problems. (JP)

A teacher tells how she uses the game of chess to introduce students to formal geometry by drawing analogies between rules of chess and deductive systems. (JP)

The relationship between area and perimeter is presented through a series of laboratory-type activities and demonstrations. (SD)

Several ideas for activities related to statistical concepts and the methods of using probability to analyze situations are presented. (SD)

Observation of patterns constructed on geoboards can lead to discussions of properties of primes, number sequences, and complex numbers. (SD)

Paper folding activities can illustrate transformations that are circular and finite under one set of conditions and become rectangular and infinite when conditions change. (SD)

Vector space concepts are developed by consideration of solutions for linear homogeneous equations. (SD)

A series of problems concerning a geoboard with "holes" is suggested. (SD)