Discusses the energy flux-density of two beams of light of equal energy that are intersected at a given angle. Examines an apparent contradiction to the physics law of conservation of energy known as Vavilov's paradox. (MDH)

Formulae for estimating individual rater reliabilities from analysis of treatment effects are presented and evaluated. Monte Carlo methods illustrate the formulae. Results indicate that large sample sizes, large true treatment effects, and large differences in the actual reliabilities of raters are required for the approach to be useful. (SLD)

Introduces and develops mathematical notation to assist undergraduate students in overcoming conceptual difficulties involving the underlying mathematics of state functions, which tend to be different from functions encountered by students in previous mathematical courses, because of the need to manipulate special types of partial derivatives and…

General physics students have difficulties interpreting experimental data and finding mathematical functions that produce curves resembling typical data. Proposes utilizing computer programs that generate graphs to develop function-recognition and curve-fitting skills. Discusses advantages of computerized curve fitting. (MDH)

Argues that the derivation of the area of a circle using integral calculus is invalid. Describes the derivation of the area of a circle when the formula is not known by inscribing and circumscribing the circle with regular polygons whose areas converge to the same number. (MDH)

Discusses the use of computerized adaptive testing (CAT) in the classroom. Highlights include item response theory; sequential probability ratio test (SPRT); combining SPRT with expert system reasoning, resulting in EXSPRT; and a study of college students that examined the efficiency and accuracy of the various CAT methods discussed. (Contains 16…

A major barrier to the exploitation of college faculty renewal programs has been a lack of tangible measurements of achievement in academic functions. Functional productivity indices can be used as tools to motivate both individuals and institutions to take advantage of renewal opportunities and assess their renewal experiences. (Author/MSE)

Discusses a misconception about the cycloid that asserts the final point on the path of shortest time in the "Brachistochrone" problem is at the lowest point on the cycloid. Uses a BASIC program for Newton's method to determine the correct least-time cycloid. (MDH)

Describes the Geometer's Sketchpad, a geometric construction kit composed of three manipulatable, dynamic, linked, multiple representation environments: the coordinate system, formulas, and graphs. Examines the use of the environments for studying parameter effects of linear and quadratic functions and for solving linear equations. (MDH)

Studies the performance of probabilistic information retrieval systems using differing statistical dependence assumptions when estimating the probabilities inherent in the retrieval model. Experimental results using the Bahadur Lazarsfeld expansion on the Cystic Fibrosis database are discussed that suggest that incorporating term dependence…

Examines variations on the classic problem that asks for the fewest number of people so that the probability of two people having the same birthday is at least one-half. Extends the problem to consider the probability of a bridge player having the same hand in a lifetime. (MDH)

Presents a comparison of collocation-based similarity measures for the proper selection of additional search terms in query expansion. Highlights include evaluating retrieval effectiveness in a vector space model, thesauri, document ranking, and experiments on two Korean test collections. (Author/LRW)

Suggests a few alternative approaches to teaching algebra that allow students to construct and reflect upon meanings for expressions and equations. The three lessons, which require extended discussion and reflection, are "Representing Algebraic Expressions,""Evaluating Algebraic Statements," and "Generating Equations." (WRM)

Discussion of the use of Latent Semantic Indexing to determine relevancy in information retrieval focuses on statistical regression and Bayesian methods. Topics include keyword searching; a multiple regression model; how the regression model can aid search methods; and limitations of this approach, including complexity, linearity, and…

"Learning by doing" in pursuit of real-world goals has received much attention from education researchers but has been unevenly supported by mathematics education software at the elementary level, particularly as it involves arithmetic word problems. In this article, we give examples of doing-oriented tools that might promote children's ability to…