Described are a discrete group of isometries that fix a line but do not stabilize a point. Each type is accompanied by an example of their representation in concrete form which served as material on which young children could operate. Pupil responses to each situation are provided. (CW)

Quantifies and confirms subjective impressions of similarity and differences in musical monophonic scores. Adapts concepts from sequence comparison theory and uses algorithms to define distances between any two melodies created by tone and rhythmic structure. Presents and applies a generalized algorithm for identifying locally similar portions in…

A method for helping students to find formulas involving symmetry under various conditions is explained. Necklace symmetries, orbit counting, tetrahedra and cubes, relationship patterns, and finding patterns are discussed. (CW)