Presented are the mathematical explanation of the algorithm for representing rational numbers in base two, paper-and-pencil methods for producing the representation, some patterns in these representations, and pseudocode for computer programs to explore these patterns. (MNS)

Presents a problem that requires solving a card problem by exploring patterns that will lead to a logical solution. Involves students in developing and analyzing their own algorithms as well as discussing their reasoning with peers. (ASK)

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…