Games and activities, which are fun, practical, and related to the child's world, are presented. Suggestions are given for building skills in estimating lengths, guessing how many, recognizing patterns in counting, multiplying with "waffles," classifying by attributes, and adding and subtracting with special cards, relays, and play…

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

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

Using arrays of dots and grids many numerical concepts can be illustrated for students. (SD)

A game involving operations on whole numbers, observing patterns in the relationships between operands and results, and seeking problems yielding various numerical solutions is 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)

The number concepts of greatest common divisor and least common multiple are related to star patterns created through line designs. (JT)

While repairing a sleeping bag, the author observed that the quilt stitching was unicursal. This led to development of a classroom activity relating the stitching patterns of quilts to the highest common factor of the numbers of "bumps" in each direction. (SD)