Presents a problem-solving activity in which students are asked to find the shortest distance from one vertex of a cube to the vertex diagonally opposite by moving along the surface of the cube. Extends the problem for any rectangular solid. (MDH)

Uses LOGO to enhance the applicability of curve stitching in the mathematics curriculum. Presents the formulas and computer programs for the construction of parabolas, concentric circles, and epicycloids. Diagrams of constructed figures are provided. (MDH)

To address concerns that universities are overcharging the federal government for indirect costs of research programs, data from seven major research universities were used to simulate a standardization of costs and policies to eliminate differences widely assumed to contribute to rate variation. Results suggest universities are not overcharging…

Describes animation algorithms for creating smooth functions of time- and space-varying phenomenon. The incidence of the disease mumps from 1968-88 in the United States is used to demonstrate the algorithms. Figures that illustrate the findings are included. (14 references) (KRN)

Summing powers of integers is presented as an example of finite differences and antidifferences in discrete mathematics. The interrelation between these concepts and their analogues in differential calculus, the derivative and integral, is illustrated and can form the groundwork for students' understanding of differential and integral calculus.…

Addresses the problem that students balk at the notion velocities do not add algebraically. Offers a geometric model to verify the algebraic formulas that calculate velocity addition. Representations include Galilean relativity, Einstein's composition of velocities, and the inverse velocity transformation. (MDH)

Ritzville Pyramids are cone-shaped piles of wheat found near the community of Ritzville, Washington. Presents the practical problem of determining the volume and surface area of a Ritzville pyramid to help farmers solve cost-effectiveness questions related to selling the wheat. (MDH)

Illustrated is the use of computer algebra software to assist in both a computational and theoretical way to develop the underlying theory of polynomials and the partial fraction decomposition of a rational function. Background information and a discussion of theoretical considerations are provided. (KR)

Discusses the problem of how the stars on the American flag would be arranged were another state added to the Union. Presents solutions using linear equations based on conditions given in the problem. (MDH)

Discusses the length of library loan periods and the number of books allowed to be borrowed. An integer programming model is formulated whose solution yields the optimum user satisfaction, and a case study conducted at King Fahd University of Petroleum and Minerals (Saudi Arabia) is presented. (Author/LRW)

Third-graders showing negligible mastery of multiplication combinations were randomly assigned to two groups which practiced different subsets of combinations. Retest results were inconsistent with Siegler's (1988) proposal that item-specific computational practice is necessary to change error patterns and promote mastery. Results suggested that…

In Experiments 1A and 1B, students read a concise booklet containing 653 words and 6 illustrations describing the formation, propagation, and dispersion of ocean waves (concise group) or an expanded booklet containing 327 additional words and 5 additional illustrations describing relevant mathematical formulas and computations interspersed…

It is widely attested that university students face considerable difficulties with reasoning in analysis, especially when dealing with statements involving two different quantifiers. We focus in this paper on a specific mistake which appears in proofs where one applies twice or more a statement of the kind "for all X, there exists Y such that R(X,…

A deliberate attempt is made in Business Mathematics oriented text books as well as in some reform calculus oriented text books to interpret the derivative f[prime](a) of a function y = f(x) at the value x = a as the change in the y-value of the function per "unit" of change in the x-value. This note questions the above interpretation and suggests…

Usiskin takes another look at fractions, years after writing the article "The Future of Fractions" for "Arithmetic Teacher".