Describes and illustrates the structure of different versions of Mobius bands called prismatic rings or twisted prisms. Different forms are mentioned, such as the one bent into circular shapes and the toroidal polyhedrons. (GA)

The author opines that traditional activities related to set theory are repetitive and uninteresting to secondary students. She suggests new activities of several types. (SD)

Reviews some fundamental mathematical ideas on sets and counting. Provides problems based on those ideas and their answers. (ASK)

The use of indicator functions is promoted as a vehicle for providing students with greater appreciation and understanding of the function concept, which might be good preparation for the functional concepts of probability and random variable. The use is seen to provide a reasonably accessible method of verifying set-theoretic statements. (MP)

Set concepts are used in this story about a swimming excursion in France, with "real" applications of mathematics presented. (MNS)

Describes a model for geometrical probability. Presents two examples of basic theories of probability using geometrical probability. Provides three problems using the described theorem. (YP)

Activities involving set union and intersection, graphing solutions of open sentences, and negation are described. These activities afford students with opportunities for computational practice as well as instruction on equations and inequalities. (SD)

Two versions of a page of exercises using set ideas are presented, one in plain language and one in technical language. Some questions and answers about the appropriateness of set terminology and symbols are then given. (MNS)

Described are graphing activities which can be instrumental in introducing the mathematics concepts of counting, sorting, grouping, and comparing on the primary level. On the intermediate level, these activites can be used to introduce collecting and sorting unorganized data, and creating graphs to represent the data. (Author/TG)

By considering colors as sets of wavelengths and using Boolean Algebra of sets, the effects of combining colors can be represented in a formal mathematical system. (SD)

Rubik's Cube is viewed as a tool to generate student interest in applying rather sophisticated mathematics to generate some solution algorithms. Discussion begins with the creation of a notation method for the cube and develops into applications of permutations and set concepts. A special "cycle notation" is employed. (MP)

Described are activities using paper plates with dots drawn on them which place a heavy emphasis on matching and ordering sets, on developing mental images of sets, and on perceiving sets of a certain size as composed of smaller subsets. Also suggested are activities involving numerals. (Author/TG)

Examines infinite sets and cardinality classifications of empty, finite but not empty, and infinite through discussions of numbers that fall into particular categories. Categories discussed include perfect numbers, Mersenne primes, pseudoprimes, and transcendental numbers. Discusses the Null Or Infinite Set Effect (NOISE) and infinitude resulting…

Nineteen gifted students and 11 average students, age 11, completed Einstellung Test problems and were queried about their metacognitive knowledge. A three-way interaction among giftedness, speed, and flexibility was found, with metacognitive knowledge as the criterion. Regardless of speed, inflexible children had less metacognitive knowledge than…