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

Suggests that there is sufficient interest in the changing arrangements of stars in the flag of the United States over the years to introduce a mathematical investigation into the various possible patterns of stars. (Author/JJK)

The author has written an unpublished summary of his reactions to an earlier article on number patterns used to provoke mathematical investigations.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)

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)

Using the notion of the difference between a number and its cube as a starting point, this article presents a wide range of mathematical activities at varying levels of sophistication utilizing numerical, intuitive, and graphical approaches. (JJK)