After stating that almost any topic could be generalized, the author was challenged to generalize the topic of polyominoes. His response is presented in this article. (SD)

The game of "Life" can be easily adapted for play by small groups and can be used in classroom activities. (SD)

Artistic configurations can be built using a rectangular array of points and number concepts or principles. (SD)

Several games, which can be useful in the classroom for teaching problem solving strategies, are described. (SD)

Three worksheets provide exercises involving triangular arrays of numbers. (SD)

The use of paper folding to demonstrate polygons which give plane tessellations, conic sections, and the solutions to several problems is described. (SD)

Multibase arithmetic blocks are used to investigate the minimum number of blocks of each size to make a square of a given size in a given base. Generalizations are made to any size and any base through pattern recognition. The problem is extended to rectangles, cubes, and rectangular solids. (LS)

Experiences with tessellations used with a group of preservice elementary teachers are described. Specific illustrations of patterns are included, with details on how these are analyzed. (MNS)

Activities in which students make models of a variety of geometric solids are described. (SD)

Many concepts can be introduced informally through activities. Among those which can be investigated using easily-made 10-by-10 pegboards are geometric shapes, coordinate systems, grouping and regrouping, and addition of two-place numbers. (SD)

Details of an investigation into polygonal numbers are given. From a study of the tabled series, patterns are discovered both within and between the various polygonal series. From a study of these results and the corresponding figures, formulas are developed. (LS)