The Euclidean algorithm for finding the greatest common divisor is presented. (MNS)

Examines such questions as: (1) Can creativity be fostered by education, and if so, how? (2) What part does language, man's most effective tool, play in this process? and (3) Could the artificial intelligence of computers be enlisted in the quest for greater creativity? (Author/JN)

A student noticed an interesting fact about the base two numerals for perfect numbers. Mathematical explanations for some questions are given. (MNS)

Presented are 44 examples in which students are invited to guess what pattern of numbers is emerging and to decide whether the pattern will persist. Topics of examples include Pascal's triangle, integers, vertices, Fibonacci numbers, power series, partition functions, and Euler's theorem. The answers to all problems are included. (KR)

The brain works by making patterns, and this process can be visualized through a medium called visual tools. The book discusses three types of visual tools: brainstorming webs, task-specific organizers, and thinking-process maps. Sample lessons, assessments, and descriptions of visual tools in action are included. Emphasis is placed on the…

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)

Described are some ways in which individual states code driver's license numbers. The encoding of month, date of birth, year of birth, sex, and others involving elementary mathematics and the use of an elaborate system of hashing functions in describing the first, middle, and last names are discussed. (KR)

Brief articles are included on exploring mathematical patterns, with two computer programs listed for finding happy numbers; a simple periodic function in trigonometry; and comments on humorous student errors. (MNS)

Illustrates where several unexpected patterns of antiderivatives can be realized during calculus instruction via the application of integration by parts to the exploration of particular members of families of functions. (JJK)

Reports unique solutions given to five problems from individual students in mathematics courses for prospective elementary school teachers oriented toward problem solving. Concludes that such courses are feasible, promote problem-solving abilities and strategies, and develop appreciation and confidence in preservice teachers. (MDH)