Analyzes the use of weights to denote a query representation and/or the indexing of a document as a generalization of a Boolean retrieval system. Criteria are given for the functions used to evaluate the relevance of the records to a specific query and a new evaluation approach is suggested. (CWM)

Presents a new method of document retrieval based on the fundamental operations of fuzzy set theory. Basic notions are introduced. Then the syntax and semantics of the proposed language for document retrieval is given, and an algorithm allocating documents to particular queries is described and its properties are discussed. (Author/CWM)

Instructional problems springing from teachers' incorrect use of mathematical models during the initial development of ideas and processes are analyzed. Examples of models for subtraction and division are given, and their appropriate use discussed. (DT)

Discusses the benefits of dynamic geometry software in helping students learn to write proofs. The software allows students to create simple geometric figures, explore relationships, make conjectures about their properties, and test those conjectures. (AIM)

Explains an approach to teaching dimensional analysis that differs slightly from the traditional approach. The difference lies in the novelty of exposition in the presentation and interpretation of dimensional analysis as a speculative process. (DDR)

Argues for more adequate preparation of future engineers and researchers in the effective use of statistical methods in the areas of product development and improvement as well as in scientific research. Supports the view that educators must respond to the needs of industry. (DDR)

Outlines a course at the University of Glamorgan in the United Kingdom in which a computer algebra system (CAS) teaches mathematical modeling. The format is based on continual assessment of group and individual work stating the problem, a feature list, and formulation of the models. No additional mathematical word processing package is necessary.…

The usefulness of the confirmatory factor analysis model of D. Sorbom (1974) to estimate invariant difficulty and discrimination item parameters on a personality scale was supported in a study using responses of 834 undergraduates to the Social Worry Scale of the Anxious Thoughts Inventory (A. Wells, 1994). (SLD)

Presents student solutions to real-world problems that allow students to develop and defend their mathematical models of the situations. Elicits proofs and offers recommendations for the potential of real-world problems as contexts for proof. (KHR)

Considers educational aspects of the development of ratio and proportion focusing on the arithmetization undergone by these concepts in light of the relationship between mathematics and music. Investigates the instructional aspects of compounding ratios. Points out features of the differences between identity and proportion which can be…

Focuses on the concept of compound functions and an application of this concept using the tax rate schedules from 1999. Presents an activity designed to help students learn how much income goes to pay federal income tax. (KHR)

Proposes a word problem concerning placing students around triangular tables. Students must determine how to place the touching tables so that everyone can be seated. (KHR)

Guides students through the process of designing a window. Allows them to use technology and a variety of representations while maximizing and minimizing the dimensions based on cost and light. Includes activity sheets. (Author/NB)

Analyzes a simple boom structure and assesses its reliability using elementary engineering mechanics. Demonstrates the power and utility of Monte-Carlo simulation by showing that such a simulation can be implemented more readily with results that compare favorably to the theoretical calculations. (Author/MM)

To demonstrate that some methods used to assess item fit can be applied to assess person fit and vice versa, performance of a chi-squared item-fit statistic was compared with that of a likelihood-based person-fit statistic for examinees and items under Monte Carlo conditions. (SLD)