Explores the theories and models of self-actualization and human development. Twelve tables illustrate developmental stages, ways of knowing, moral and ethical development, management style, goals of learning, organizational development, and other dimensions. Availability: M.E.A.D. Subscriptions, C.S.M.L., University of Lancaster, Lancaster LA1…

A short proof of Laplace's expansion theorem is given. The proof is elementary and can be presented at any level of undergraduate studies where determinants are taught. It is derived directly from the definition so that the theorem may be used as a starting point for further investigation of determinants.

The Bernoulli numbers are among the most interesting and important number sequences in mathematics. They first appeared in the posthumous work "Ars Conjectandi" (1713) by Jacob Bernoulli (1654-1705) in connection with sums of powers of consecutive integers (Bernoulli, 1713; or Smith, 1959). Bernoulli numbers are particularly important in number…

In this technical report, we describe the development and piloting of a series of mathematics progress monitoring measures intended for use with students in kindergarten. These measures, available as part of easyCBM[TM], an online progress monitoring assessment system, were developed in 2008 and administered to approximately 2800 students from…

Previous studies have indicated that the reliability of test scores composed of testlets might be overestimated by conventional item-based reliability estimation methods (R. Thorndike, 1953; A. Anastasi, 1988; S. Sireci, D. Thissen, and H. Wainer, 1991; H. Wainer and D. Thissen, 1996). This study used generalizability theory to investigate the…

This study compared various equating models and procedures for a sample of data from the Medical College Admission Test(MCAT), considering how item response theory (IRT) equating results compare with classical equipercentile results and how the results based on use of various IRT models, observed score versus true score, direct versus linked…

Analysis of educational levels and earnings associated with specific occupations supported seemingly conflicting explanations of inequality: (1) the job competition theory that education has no effect on equalization of earnings; and (2) the free market theory suggesting an effect of educational level on earnings and of unequal education on…

The scientific information diffusion theory is used to explain the increased citation frequency of recently published articles in respect to the normal exponential decay of older articles. Appendices illustrate this approach. (Author/FM)

Examines the theory and application of zero base budgeting (ZBB) and presents an example of ZBB in an academic library reference department, illustrating the preparation of a budget proposal and demonstrating the different approaches to staffing for reference services and varying funding levels. (FM)

This study examined the generalizability of systematic direct observation across setting and time. Participants included 14 students from an intact inclusionary fifth grade classroom. On-task/off-task behavior was directly observed using momentary time-sampling recording, twice a day, for 10 school days. Using Generalizability (G) theory, results…

Examines delinquents' friendships and the ways in which they differ from those of more conforming adolescents on a sample of 942 youths between 12 and 19 years of age living in a large north central city. Concludes that current explanations of the relationship between friendship and delinquency are inadequate. (JDH)

In the reporting of individual student results from standardized tests in educational assessments, the percentile rank of the individual student is a major numerical indicator. For example, in the 1998 and 1999 California Standardized Testing and Reporting (STAR) program using the Stanford Achievement Test Series, Ninth Edition, Form T (Stanford…

Multivariate generalizability techniques are used to bridge the gap between psychometric constraints and the tables of specifications needed in test development. Techniques are illustrated with results from the American College Testing Assessment Program. (Author/PN)

Focuses on the relationship between ethnicity and geographic mobility in Canada by examining 1971 census data. Suggests that both ethnic and social demographic characteristics are important sources of migration differentials and provides a theoretical model for further examination of ethnicity and migration. (Author/GC)

This paper gives a broad descriptive account of some activities that the author has designed using Sketchpad to develop teachers' understanding of other functions of proof than just the traditional function of 'verification'. These other functions of proof illustrated here are those of explanation, discovery and systematization (in the context of…