Traditional mathematics curriculum is unsuitable for gifted children. Computing, statistics, operations research, and logic are suggested as suitable new topics. (MP)

Solves the problem of the reproduction of rabbit pairs utilizing the Fibonacci sequence. Examines modified versions of the problem, and presents a vignette of one modification based on the author's experience in using the approach with preservice middle school teachers. Extends the approach to other related problems. (MDH)

Discusses how nonparametric statistical procedures can be applied to the scoring of cross-country running races. Asserts that this type of example in statistics is appropriate for the upper-secondary school and lower-division college levels. (MDH)

Highlights combinatorial problems appropriate for students aged 4 to 12 years that utilize manipulatives in a hands-on approach. Examines and identifies students' strategies and self-monitoring techniques that produce effective problem solving. (MDH)

Presents an alternative to traditional story-problem instruction in which students write their own mathematics stories about familiar situations involving problems that can be resolved with the aid of mathematics. Provides excerpts from a typical class discussion to resolve the problem. (16 references) (MDH)

Describes an eight-day graphing unit for grades four through six using data collected from a local cemetery. Provides the activities of each day and excerpts of discussions taking place during the lessons. Concludes that working with real data helps students construct meaningful graphs. (MDH)

This article discusses the analysis of a decision-making process faced by contestants on the television game show "The Price is Right". The included analyses of the original and related problems concern pattern searching, inductive reasoning, quadratic functions, and graphing. Computer simulation programs in BASIC and tables of…

Described is the use of story telling as a context to introduce mathematical concepts by providing a model, offering problem-posing situations, stimulating investigation, and illustrating concepts. Examples of appropriate stories are given for the primary and low secondary levels. (MDH)

Proposes the use of children's literature as a method to connect language and mathematics. Presents examples of children's books by mathematical topic and methods by which they can be employed in mathematics instruction. (31 references) (MDH)

Describes four methods to structure estimation activities that enable students to make connections between their understanding of numbers and extensions of those concepts to estimating. Presents activities that connect estimation with other curricular areas, other mathematical topics, and real-world applications. (MDH)

Discusses the two overgeneralizations "multiplications makes bigger" and "division makes smaller" in the context of solving word problems involving rational numbers less than one. Presents activities to help students make sense of multiplication and division in these situations. (MDH)

Describes "The Adventures of Jasper Woodbury," a series of four problem-solving videodisc adventure stories designed for research purposes that provide students with open-ended problems based on real-world situations. Presents design principles, research results, the teacher's role, and technology issues related to the utilization of the…

Presents activities in which students develop and analyze scatterplots on graphing calculators to model corn growth, decay, a box of maximum volume, and weather prediction. Provides reproducible worksheets. (MDH)

A set of 18 posters, each 28 cm x 43 cm and printed on parchmentlike paper, and an activity book for teachers in middle and secondary schools make up this publication. The posters illustrate the ideas that mathematics spans centuries and cultures, and is both useful and enjoyable. The activity book emphasizes problem solving, with a focus on…

In response to the legislature's mandate to develop statewide curriculum standards for required subjects, this guide was developed by a statewide committee to present the content that should be taught in Business Arithmetic. It was piloted by teachers in representative school systems and subsequently revised. Eight goals for the course are listed,…