Traditional comparisons of test score means identify group differences in broad academic areas, but fail to provide substantive description of how the groups differ on the specific cognitive attributes required for success in the academic area. The rule space method (RSM) allows for group comparisons at the cognitive attribute level, which…

Using two-wave survey data on the 2001 cohort of the Gates Millennium Scholarship (GMS) recipients and comparison nonrecipients, this study examines the relationship between scholarship awards and student engagement in college activities. The results indicate that scholarship awards such as GMS directly affect student college choice decisions.…

Late entry into primary school is a widespread phenomenon in developing countries. Students who enter school late are more likely to repeat grades, drop out and perform more poorly. Yet the phenomenon has received little scholarly attention, and there is a dearth of cross-national data. In this paper, we draw on data from the Multiple Indicator…

This article presents a mathematical function for measuring the congruence among the strand representation in the enacted curriculum, state assessments, and district pacing guides. Using the Manhattan distance as its basis, this method allows researchers to incorporate the strand coverage of the enacted curriculum (i.e., the curriculum actually…

This paper describes a course aimed at developing understanding of measurement and uncertainty in the introductory physics laboratory. The course materials, in the form of a student workbook, are based on the probabilistic framework for measurement as recommended by the International Organization for Standardization in their publication "Guide to…

Inspired by the research of Reading and Shaughnessy (2004), we modified an existing lesson from the National Council of Teachers of Mathematics. This lesson, a variation on the "Gumball Task", gives students the opportunity to explore and discuss the variation which occurs in sampling. This paper describes our experience using this lesson as an…

Descriptive assessment methods have been used in applied settings to identify consequences for problem behavior, thereby aiding in the design of effective treatment programs. Consensus has not been reached, however, regarding the types of data or analytic strategies that are most useful for describing behavior-consequence relations. One promising…

We describe an easy-to-employ, hands-on demonstration using playing cards to illustrate the central limit theorem. This activity allows students to see how a collection of sample means drawn from a nonnormally distributed population will be normally distributed. Students who took part in the demonstration reported it to be helpful in understanding…

In this article, the author responds to the paper "Exploring pre-service teachers' understanding of statistical variation: Implications for teaching and research" by Sashi Sharma (see EJ779107). In that paper, Sharma described a study "designed to investigate pre-service teachers' acknowledgment of variation in sampling and…

The purpose of this study is to describe how the attribute hierarchy method (AHM) can be used to evaluate differential group performance at the cognitive attribute level. The AHM is a psychometric method for classifying examinees' test item responses into a set of attribute-mastery patterns associated with different components in a cognitive model…

One of the main objectives in meta-analysis is to estimate the overall effect size by calculating a confidence interval (CI). The usual procedure consists of assuming a standard normal distribution and a sampling variance defined as the inverse of the sum of the estimated weights of the effect sizes. But this procedure does not take into account…

We explore whether infants can learn novel phonological alternations on the basis of distributional information. In Experiment 1, two groups of 12-month-old infants were familiarized with artificial languages whose distributional properties exhibited either stop or fricative voicing alternations. At test, infants in the two exposure groups had…

Two experiments used within-subject designs to examine how conjunction errors depend on the use of (1) choice versus estimation tasks, (2) probability versus frequency language, and (3) conjunctions of two likely events versus conjunctions of likely and unlikely events. All problems included a three-option format verified to minimize…

This paper presents an empirical analysis of the relationship between social capital and student math and language achievement and the probability of promotion, using data gathered from fourth grade classrooms in public schools in four Latin American cities. The results suggest that social capital among teachers in a school, between teacher and…

If you break a stick at two random places, the probability that the three pieces form a triangle is 1/4. How does this generalize? To answer this question, we give a method for finding the probability that n randomly chosen points in a given interval fall within a specified distance of one another. We use this method to provide solutions to…