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)

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

The author has written an unpublished summary of his reactions to an earlier article on number patterns used to provoke mathematical investigations.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

Described are patterns in Pascal's triangle which are obtained when the entries are reduced modulo a prime number. (MM)

Playing with number patterns can lead students to discover some divisibility tests. (JT)

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)

This series of booklets is designed for use by students of ninth grade general mathematics. The units are the result of experimental work done by the General Mathematics Writing Project of the National Council of Teachers of Mathematics. The series treats a variety of topics which are suitable for use with general mathematics students. Each unit…

Patterns emerging when two-digit numbers in various bases are operated on by squaring and summing the digits. (SD)

What should constitute a preschool mathematics program for children ages 3 and a half to 5 years? What mathematical ideas could youngsters explore? This paper discusses six broad mathematical concepts for investigation by preschoolers: number, space and location, shape, patterns, measurement, and permutations. For each big idea, activities are…

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 resulting from polygonal numbers are explored, with examples of triangular, square, pentagonal, rectangular, and other numbers. Tables and formulas to be developed are included. (MNS)