Some patterns resulting from certain operations on numbers are discussed, analyzed, and explained. A method for predicting the outcome of these operations for any number is developed.

Presents activities that emphasize engaging students in proportional reasoning. Introduces students to the rules involved in recognizing proportions and invites students to discover how the numbers in an ordered pair are related. (JRH)

Patterns and relationships found in the multiplication table of the numbers zero through nine are discussed as a means to helping students understand certain concepts. (MP)

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

Presents responses to the pattern problem that appeared in the November 1998 "Problem Solvers" section of this journal. (ASK)

Several math activities designed to teach patterns which can be found in arrays of 16 squares organized into a four-by-four pattern are presented in this issue of "Student Math Notes." The activities include: (1) determining how many squares and rectangles are contained in a four-by-four array; (2) figuring out the least number of lines…

Properties of a given array of numbers are discussed and some sample activity cards involving discovery of number patterns are presented. (MP)

A learning activity relating modular arithmetic to patterns of figures determined by points equally spaced around a circle is described. (SD)

Using the two posters in this article, students are to search for patterns as a way of counting different types of squares and cubes obtained from a larger square or cube that is printed on the outside edge or surface. (MP)

Three activities and patterns involving the addition table are described, each involving pentagons. (MNS)

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)

The observations of a fifth-grade student concerning number patterns are recorded and discussed. (SD)

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

Four worksheets for levels one-eight are included. Practice on addition, multiplication, fractions and decimals, and integers is provided through activities involving puzzling patterns. (MNS)

Beginning with a set of design cards and a rectangular grid, students can generate interesting and colorful designs using rotations, reflections, and translations. (SD)