This article shows how set covering with item sampling (SCIS) methods can be used in the analysis and preanalysis of linear programming models for test assembly (LPTA). LPTA models can construct tests, fulfilling a set of constraints set by the test assembler. Sometimes, no solution to the LPTA model exists. The model is then said to be…

The logarithmic transformation is a commonly applied procedure in regression analysis when two or more variables have a nonlinear relationship. When the response variable is logarithmically transformed, confidence intervals for conditional means and predictions may actually be wider than their counterparts obtained from the model with the original…

The issue of structural and semantic interoperability among learning objects and other resources on the Internet is increasingly pointing towards Semantic Web technologies in general and ontology in particular as a solution provider. Ontology defines an explicit formal specification of domains to learning objects. However, the effectiveness to…

A new trigonometric identity derived from factorizations and partial fractions is given. This identity is used to evaluate the Poisson integral via Riemann sum and to establish some trigonometric summation identities.

Children of 10-11 years of age were interviewed while undertaking a range of mathematic problems, most of which embedded mathematical operations in textually represented realistic settings. One problem, concerning a lift moving people in the morning rush, comprised a division-with-remainder problem in which children are required, conventionally,…

This resource book contains mathematical games, tricks, and quick activities for the classroom. Categories include place value, number lines, basic facts and computation, computation and calculator practice, puzzles for tricky thinkers, and geometry. Ten classroom games and activities are found in the place value and number line sections, 27…

An inconsistency between American and British accounting methods led the author to this problem whose solution involves linear equations and geometric series. (SD)

Geometric series are developed from accounting problems involving percent interest. (SD)

The author addresses the methods of teaching mathematics, discussing the use of intuition and of rigorous development of concepts. The approaches taken by economists and physical scientists to the use of mathematics are examined. (SD)

Explains the terms "naturalistic" and "formalistic" as they apply to mathematics. Outlines the problems involved in deciding what kind of mathematics is appropriate for the average sixth former. Identifies new ideas in the applicability of mathematics and presents a case for teaching mathematics from a naturalistic point of view. (GS)

Arguing that operations research is not as difficult and forbidding as its reputation implies, and that many problems lend themselves to analysis using common sense, the author provides examples which might be used in a secondary school classroom. (SD)

A review lesson based on a sports car rally is described and illustrated. It teaches detailed map reading as well as providing drill on any subject desired. Pairing students is beneficial for several stated reasons. Some students may design their own rally for presentation to the class. (Author/KM)