Number patterns obtained by squaring numbers in a sequence are discussed. A BASIC program for use with TRS-80 is given. (MP)

Ways of finding the sums of some interesting sequences of numbers are discussed. Finding the patterns creates a challenge, but the patterns are not too difficult for average pupils to discover. Mathematical induction can then be used to prove the formulas. (LS)

Patterns that appear in the repeating digits of a decimal are used to help convince students that any infinite repeating decimal can be written in the form of a rational number. (JT)

Argues that mathematics is, to a large extent, the study of patterns. Presents an activity in which students search for patterns in the Fibonacci sequence and Pascal's Triangle. (ASK)

Some mathematical patterns are explored by visualizing and counting line segments, squares, cubes, and relationships between them. (JT)

Number sequence patterns for counting boundaries of familiar figures are extended to higher dimensions. (JP)

Reviews an alternative patterning approach and highlights the difficulties it can present when students lack the requisite skills and knowledge of processes. Describes how this approach can be used to introduce elementary algebraic ideas and offers recommendations for establishing these important understandings. (ASK)

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

Details of an investigation into polygonal numbers are given. From a study of the tabled series, patterns are discovered both within and between the various polygonal series. From a study of these results and the corresponding figures, formulas are developed. (LS)

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)

Students examined patterns emerging when numbers placed at vertices in a braided pattern were summed. (SD)

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

Presents an extension of the hog game that satisfies the mathematical process activities of observing patterns; forming, testing and proving hypotheses; and applying and extending proved results. Discusses use of technology in the investigation of problems and in the process of devising and validating general rules. (ASK)