A study combining artificial grammar and sentence comprehension methods investigated the learning and online use of probabilistic, nonadjacent combinatorial constraints. Participants learned a small artificial language describing cartoon monsters acting on objects. Self-paced reading of sentences in the artificial language revealed comprehenders'…

We represent the main stages of the process of mathematical modelling as fuzzy sets in the set of the linguistic labels of negligible, low intermediate, high and complete success by students in each of these stages and we use the total possibilistic uncertainty as a measure of students' modelling capacities. A classroom experiment is also…

Largely due to dissatisfaction with the standard null hypothesis significance testing procedure, researchers have begun to consider alternatives. For example, Killeen (2005a) has argued that researchers should calculate p[subscript rep] that is purported to indicate the probability that, if the experiment in question were replicated, the obtained…

The sampling (probability) distribution for the sum of dice is presented graphically as a compelling demonstration of the Central Limit Theorem.

Part of the power of algebra is that it provides students with tools that they can use to model a variety of problems and applications. Such modeling requires them to understand patterns and choose from a variety of representations--numeric, graphical, symbolic--to construct a model that accurately reflects the relationships found in the original…

Various theoretical equations have been proposed to predict response rate as a function of the rate of reinforcement. If both the rate and probability of reinforcement are considered, a simple identity, defining equation, or "law" holds. This identity places algebraic constraints on the allowable forms of our mathematical models and can help…

The Landau-Zener formula provides the probability of non-adiabatic transitions occurring when two energy levels are swept through an avoided crossing. The formula is derived here in a simple calculation that emphasizes the physics responsible for non-adiabatic population transfer. (Contains 2 figures.)

Background: This study examined the impact of the reading-related affective factors "home environment" and school "environment" on predicting the likelihood of students being either high-proficiency or low-proficiency readers. Data from 3,875 Hong Kong SAR Grade 4 students participating in an international comparative…

Students with emotional and/or behavioral disabilities (E/BD), including students with emotional disturbance and attention deficit hyperactivity disorder, receiving special education services perform significantly worse on academic performance measures than same age peers. Researchers have focused on reading and math performance while less is…

This article examines debt burden among college graduates and contributes to previous research by incorporating institutional and state characteristics. Utilizing a combination of national datasets and zero-one inflated beta regression, we find several major themes. First, family income and college experiences are strongly associated with the…

The present study revisited the unresolved issue of the long-term effects of part-time working intensity during high school on students' achievement, participation in postsecondary education, time allocation, and work-related values and expectations. Using data from the Educational Longitudinal Study of 2002 (N = 14,654), the effects of part-time…

This study contributed to our understanding of those factors that serve as predictors of science teachers' selection and use of technologies and more specifically, how selection and usage was realized among teachers of different science disciplines. Notable descriptive statistics were examined, and we tested an explanatory model of how…

Traditionally, modeling student retention has been done by deriving student success predictors and measuring the likelihood of success based on several background factors such as age, race, gender, and other pre-college variables, also known as the input-output model. Increasingly, however, researchers have used mediating factors of the student…

The transition from eighth grade to high school results in a substantial drop in course performance for many students. These declines in performance lead students to fall off-track for obtaining high school and college degrees. By using data on students' middle grade performance, high school staff can set goals for their students to help them meet…

This paper uses the credits-attempted perspective--in the context of how many credits a student attempts in their first year of college--and reports on several related projects all intended to evaluate potential interventions to raise academic momentum among first-year community college students. The presentation contrasts non-experimental…