The author has written an unpublished summary of his reactions to an earlier article on number patterns used to provoke mathematical investigations. His work is an additional demonstration of the potential mathematics that can be stimulated from such investigations. (JP)

This article displays the graphs of number patterns obtained by writing each number in the pattern as an ordered pair, plotting the ordered pairs, and joining consecutive points by straight lines. (DT)

The authors define an unusual partitioning or division" operation and explore number patterns and divisibility properties which result. The topic is suggested as enrichment material. (CT)

Topics covered include matrices and the Fibonacci sequence, number patterns, groups, geometric arrangement of objects, games involving moving on a network, equivalent equations, and factoring. (DT)

Describes several activities to provide opportunity for the discovery of number patterns and shows the need for care in the descriptions of such patterns. (Author)

The problem of determining the number of squares on a checkerboard is extended to finding the number of rectangles on an n x n board and finding the total numbers of cubes and rectangular solids in an n x n x n cube. (DT)

A discussion of some number patterns which arose from a consideration of the number of diagonals of a general polygon. (MM)

The Mayan system of numeration, which used 20 as the base, is discussed. The material presented has been used to stir the curiosity of students in different systems of numeration. It has been helpful in promoting a speedier and better understanding of base 10. (MP)

Some patterns in prime numbers and their implications for general theorems are presented. Much of the material is taken from "The Strong Law of Small Numbers," an unpublished paper by Richard Kenneth Guy. (MP)

Presented are a series of conjectures and proofs resulting from an examination of patterns and relationships among natural numbers. (JP)

Topics discussed in this column include patterns of inverse multipliers in modular arithmetic; diagrams for product sets, set intersection, and set union; function notation; patterns in the number of partitions of positive integers; and tessellations. (DT)

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