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)

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…

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

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)

Experiences with tessellations used with a group of preservice elementary teachers are described. Specific illustrations of patterns are included, with details on how these are analyzed. (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 construction of tables of numbers is discussed as a learning activity that involves work in such things as reciprocals, calculators, formulas, patterns, discovery, prime numbers, and other types of numbers. (MP)

Students use a series of isosceles right triangles constructed on a geoboard to discover patterns and form generalizations. (MP)

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

This discussion of cyclic patterns that appear in repeating decimals includes the use of the calculator in discovering the patterns. (MP)

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

Describes an activity in which students, grades 7-12, explore patterns and properties of repunits, an integer written as a string of ones. Includes extensions for exploring algebraic justifications. (MKR)