A method of summing finite sequences by use of formal power series techniques is described. (SD)

The author shows how a rapid computational "trick" can lead to an investigation of Fibonacci-type sequences. (SD)

A method for solving certain types of problems is illustrated by problems related to Fibonacci's triangle. The method involves pattern recognition, generalizing, algebraic manipulation, and mathematical induction. (MP)

An activity sequence is described. Several aspects of a population problem are developed using isoperimetric graph paper and symmetry principles to derive general rules. (SD)

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

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

A computer program is presented for the billiard ball problem. It can be integrated into a lesson on inductive reasoning and suggests several ways to do so. (MNS)

The Inductive Reasoning and Analytical Reasoning tests of the Johnson O'Connor Research Foundation have been analyzed in a factorial study including marker tests for two commonly recognized reasoning factors, induction (three tests) and logical reasoning (two tests). The primary purpose of the study was to determine the extent to which the Johnson…