What follows is a description of a theoretical model designed to calculate the playing frequencies of the musical pitches produced by a trombone. The model is based on quantitative treatments that demonstrate the effects of the flaring bell and cup-shaped mouthpiece sections on these frequencies and can be used to calculate frequencies that…

The authors argue that insufficient attention has been given to foundational concepts in special education. Two classes of foundational concepts are discussed: human constructions and logico-mathematical facts. Four human constructions are examined: (1) making teaching most important, (2) discriminating among ideas, (3) choosing conceptual models,…

Assessing a high school's effectiveness is not straightforward. Comparing a school's standardized test scores to those of other schools is one approach to measuring effectiveness, but a major objection to this method is that students' test scores tend to be related to students' "socioeconomic" status--family household income, for…

Explains Type/Token-Taken informetrics as a new part of informetrics that studies the use of items rather than the items themselves. Highlights include the frequency distribution of Type/Token-Taken informetrics; the Lotka frequency law; linguistics; a comparison of Type/Token with Type/Token-Taken informetrics; and proofs of theorems. (Author/LRW)

In recent years, semiotics has become an innovative theoretical framework in mathematics education. The purpose of this article is to show that semiotics can be used to explain learning as a process of experimenting with and communicating about one's own representations (in particular "diagrams") of mathematical problems. As a paradigmatic…

This manual is a first effort to begin to identify, describe, and develop procedures for assessing various aspects of digital reference service. Its overall purpose is to improve the quality of digital reference services and assist librarians to design and implement better digital reference services. More specifically, its aim is to: assist…

Wisconsin's guaranteed tax base equalization formula has no direct adjustment for the additional costs of educating poverty level pupils. This paper establishes the need for an adjustment and examines three measures (based on varying poverty definitions) to determine which provides the most equitable funding formula for educating poor children. (9…

This paper examines how various equating methods are affected by: (1) sampling error; (2) sample characteristics; and (3) characteristics of anchor test items. It reviews empirical studies that investigated the invariance of equating transformations, and it discusses empirical and simulation studies that focus on how the properties of anchor tests…