Research has established that children's development of addition and subtraction skills progresses through a hierarchy of strategies that begin with counting-by-one methods through to flexible mental strategies using a combination of knowledge of basic facts and understanding of place value. An important transition point is the shift from the…

Many approaches to standard-setting use item calibration and student score estimation results to structure panelists' tasks. However, this requires collecting standard-setting judgments after the item analysis results are available. The Scoring Guide Alignment approach collects standard-setting judgments during the scoring sessions from teachers…

The authors investigated how 3- and 4-year-old children and adults use relative distance to judge nearbyness. Participants judged whether several blocks were by a landmark. The absolute and relative distance of the blocks from the landmark varied. In Experiment 1, judgments of nearbyness decreased as the distance from the landmark increased, …

Using time series data, this study shows that domestic students' academic performance is generally better than international students' performance, but the gap is significantly narrowing as international students' performance is improving over time. The study also shows that there is no strong correlation between the percentage of international…

This paper examines the estimation of two-stage clustered RCT designs in education research using the Neyman causal inference framework that underlies experiments. The key distinction between the considered causal models is whether potential treatment and control group outcomes are considered to be fixed for the study population (the…

A widely recognized concern in elementary school mathematics education is that teachers' understanding of the mathematical curricular content generally appears quite fragmented, sparsely connected, and procedurally oriented. This pilot study applies methods of educational neuroscience to investigate and improve preservice teachers' learning and…

As a group, children from disadvantaged, low-income families perform substantially worse in mathematics than their counterparts from higher-income families. Minority children are disproportionately represented in low-income populations, resulting in significant racial and social-class disparities in mathematics learning linked to diminished…

Recognizing the need to implement standards-based instructional materials with school-wide coherence led some Philadelphia schools to adopt whole-school reform (WSR) models during the late 1990s. The authors report on the relation between mathematics achievement growth for middle-grade students on the Pennsylvania System of School Assessments and…

Study of the performance of nearly 2,000 students in grades 2 through 9 on a variety of mental computation tasks using visual and oral presentation found a wide variation in performance within the sample of each country at each grade level. (33 references) (MKR)

Magnitude of effect (ME) statistics are an important alternative to statistical significance. Why methodologists encourage the use of ME indices as interpretation aids is explained, and different types of ME statistics are discussed. The basic concepts underlying effect size measures are reviewed, and how to compute them from published reports…

Item and test analyses can be used to revise and improve both test items and the test as a whole. Recommendations for item and test analysis practices as they are reported in commonly used measurement textbooks are summarized. A heuristic data set is used to illustrate test and item analysis practices. Techniques developed in this paper are…

This paper dramatizes the complexity and the problems involved in calculating the rates of student dropouts from school. To compare the dropout formulas used by various agencies, states, and local school systems, responses from a national survey are presented and used to calculate a range of dropout rates for the Austin (Texas) public schools. By…

This study derived an expectation-maximization (EM) algorithm for estimating the parameters of multidimensional item response models. A genetic algorithm (GA) was developed to be used in the maximization step in each EM cycle. The focus of the EM-GA algorithm developed in this paper was on multidimensional items with "mixed structure."…

Fourteen topics are discussed that need to be included in the curriculum to make it possible for students to successfully take full advantage of the calculator and its capabilities. These include: underflow, overflow, estimation, scientific notation, powers of ten, rounding, and truncation. (MP)