Types of strategies used by (n=36) fourth-, sixth-, and eighth-grade students solving comparison of area tasks were identified and classified. Most students used a direct comparison strategy to compare areas. Use of a part-whole strategy increased with the introduction of fractional terms and symbols. (23 references) (MKR)

Presents activities that use visual-geometric models to help students develop their understanding of exponents and division of powers with the same base. Presents opportunities for students to discover patterns for themselves and communicate these findings to others. (MDH)

Uses the general linear model to develop an adjusted cumulative grade point average (GPA) that systematically models grading effects among courses. A validation study using 778 courses of 1,564 Stanford (California) University students shows an increase in predictability of the adjusted least-squares GPA over the unadjusted GPA. (SLD)

Presents activities that utilize representations of the side, front, and top views of three-dimensional configurations of blocks to develop spatial-visualization skills and aspects of the concept of function. Provides worksheets of these open-ended investigations. (MDH)

In samples of 1,005 adolescents and adults in Hong Kong and 281 adolescents and adults in London (England), Moral Development Test patterns conform to that predicted by L. Kohlberg's stage theory of moral development (1969), but the degree of association between the stages differed between cultures. (SLD)

The validity of the assumptions under which the ordinal true score test theory was derived was examined using (1) simulation based on classical test theory; (2) a long empirical test with data from 321 sixth graders; and (3) an extensive simulation with 480 datasets based on the 3-parameter model. (SLD)

Some unresolved methodological and philosophical issues in the assessment of performance trends are discussed as they relate to the National Assessment of Educational Progress (NAEP). How to measure performance change while remaining responsive to advances in curriculum and the technology of assessment is a central dilemma. (SLD)

The difference between item bias and item impact and the way they relate to item validity are discussed from a multidimensional item response theory perspective. The Mantel-Haenszel procedure and the Simultaneous Item Bias strategy are used in a Monte Carlo study to illustrate detection of item bias. (SLD)

A procedure is presented for examining the influence of instruction on responses to test items by extending item response theory to incorporate variables illustrating different amounts of opportunity to learn. Data from the Second International Mathematics Study (grade 8 scores for about 7,000 students) illustrate the discussion. (SLD)

Examines how informetric characteristics of information retrieval (IR) system databases can be used to help system designers decide what type of file structures would provide the best performance. The development of appropriate models describing database contents is highlighted in this first part of a two-part study. (30 references) (LRW)

The use of restricted item response models to test hypotheses regarding item difficulty ordering and slope uniformity was demonstrated in a study in which 597 algebra students were asked to solve word problems reflecting various types of cognitive processing. Benefits and limitations of the procedures are discussed. (SLD)

Two approaches--Harnisch/Linn and Rasch-based--to comparing district-level student performance to system-level student performance were examined, using results for 3,607 students on a curriculum-referenced mathematics test. Both approaches addressed relative mean performance on categories of common items. A modification of one approach and an…

The usefulness of latent class modeling in addressing several measurement issues is demonstrated via a study of 74 good and 74 poor readers in grades 5 and 6. Procedures were particularly useful for assessing the hierarchical relation among skills and for exploring issues related to item domains. (SLD)

Investigates the dimensions underlying performance on the diagrams, tables, and maps subset of the Swedish Scholastic Aptitude Test. Analyzes data from two test versions by using a structural-equation modeling technique on 14,463 and 19,636 examinees respectively. Concludes that gender difference in performance is due, to a great extent, to the…

In this article we explore young children's development of mathematical knowledge and reasoning processes as they worked two modelling problems (the "Butter Beans Problem" and the "Airplane Problem"). The problems involve authentic situations that need to be interpreted and described in mathematical ways. Both problems include tables of data,…