Magic circles, number puzzles somewhat more complex than magic squares, are described and discussed. (MK)

The article includes a short history of polygonal numbers, a method for finding the root of a polygonal number, and suggestions for using polygonal numbers in the classroom. (MK)

The mathematics curriculum should be imbedded into the cultural environment of the student. Discussed is the mathematical educational potential of decorative motif. (PK)

Mathematical activities suitable for reproduction as worksheets are suggested. These activities are adaptations of the classic tower puzzle and are intended to help students discover patterns, make generalizations, and use the strategy of solving simpler problems in order to solve a more difficult one. (MK)

Worksheets for duplication are provided for this activity designed for students in grades 6-10. The objective of the activity is to have students discover generalizations about the patterns formed. (MK)

Patterns generated by the set of natural or counting numbers are discussed. Included are quartic, odd, square, and triangular numbers. (MK)

This module uses concepts of fingerprinting to illustrate and apply selected mathematical ideas. Specifically, students participate in activities that require pattern recognition, measuring using mm and cm, and identification of similar patterns. Inking of students' prints is done. Teaching suggestions are provided. (MK)

The author suggests ideas intended to lead to independent study on topics including trigonometry, Pythagoras, algebra, transformational geometry, primes, and countability. The ideas are based on Islamic patterns devised using a square lattice of dots and repeated reflections. (PK)

Explores the following classical problem: given any 30 points on a circle, join them in pairs by segments in all possible ways. What is the greatest number of nonoverlapping regions into which the interior of the circle can be separated? Presents strategies for solving this problem. (PK)

Four activity workshops are suggested which might be used for several different purposes. The reproducible worksheets address clock patterns, patterns with tides, extending Pythagoras, and fractions extended. (PK)

Includes patterns for and a brief discussion of the polyhedra: octahedron, tetrahedron, dodecahedron, cuboid, prism, and star. (PK)

Investigates the arithmetic curiosity that when any integer is raised to the fifth power, the digits unit of the result is always the same as the digits unit of the original number. Explores results in number bases other than 10 via the computer. (PK)

This module, designed to help students find and identify various geometric shapes and solids, contains 26 worksheets. Topics covered by these worksheets include: identification and grouping of objects with particular patterns, work with pentagons, hexagons, spirals, and symmetry. Teaching suggestions are included. (MK)