Arthur Cropley (2006) emphasized the critical place that convergent thinking has in creativity. Although he briefly refers to the blind variation and selective retention (BVSR) theory of creativity, his discussion could not reflect the most recent theoretical and empirical developments in BVSR, especially the resulting combinatorial models.…

This article summarizes a conceptual framework and simple mathematical methods of estimating the probability that one event was a necessary cause of another, as interpreted by lawmakers. We show that the fusion of observational and experimental data can yield informative bounds that, under certain circumstances, meet legal criteria of causation.…

How likely is the glass to break, given that it is heated? The present study asks questions such as this with or without the premise "if the glass is heated, it breaks." A reduced problem (question without premise) measures the statistical dependency (conditional probability) of an event to occur, given that another has occurred. Such…

We describe how the use of a games environment combined with technology supports upper primary children in engaging with a concept traditionally considered too advanced for the primary classes: "The Law of Large Numbers."

Peripubertal boys with autism spectrum disorder (ASD) have lower bone mineral density (BMD) than typically developing controls. However, it is not clear whether lower BMD in ASD results in an increased fracture rate. This study examined the rate of fractures in children and adults with and without ASD using a national database of emergency room…

Stan is a free and open-source C++ program that performs Bayesian inference or optimization for arbitrary user-specified models and can be called from the command line, R, Python, Matlab, or Julia and has great promise for fitting large and complex statistical models in many areas of application. We discuss Stan from users' and developers'…

The analysis of variance (ANOVA) is one of the most frequently used statistical analyses in practical applications. Accordingly, the single and multiple comparison procedures are frequently applied to assess the differences among mean effects. However, the underlying assumption of homogeneous variances may not always be tenable. This study…

The National Math + Science Initiative (NMSI) is a nonprofit organization committed to improving educational outcomes that traces its roots back to the early 1990s. NMSI's College Readiness Program (CRP) is a long-standing program with the goal of promoting STEM education in high schools to improve students' preparation for college. The three-year…

This study examined participation in accelerated college credit programs dual enrollment, concurrent enrollment, and Advanced Placement courses in Rhode Island high schools to understand their effects on educational attainment in the 2013/14 grade 9 cohort. The state, which has funded and promoted these opportunities for students to earn college…

This Study Snapshot highlights key findings where the Rhode Island Department of Education, the Rhode Island Office of the Postsecondary Commissioner, and state legislators sought evidence of the effects of state-funded programs for students to earn college credit during high school. Using data on the 2013/14 statewide grade 9 cohort, this…

The "The Effects of Accelerated College Credit Programs on Educational Attainment in Rhode Island" study examined participation in accelerated college credit programs dual enrollment, concurrent enrollment, and Advanced Placement courses in Rhode Island high schools to understand their effects on educational attainment in the 2013/14…

This dissertation analyzes the ways that college applicants and college students navigate through higher education with a focus on ways to improve their experience. In the first chapter, I examine the ways that college applicants change their application and enrollment decisions when using the Common Application. In the second chapter, I highlight…

This study investigates the relationship between nonword repetition (NWR) and vocabulary in 2-year-olds. Questions addressed are whether (1) NWR and vocabulary are associated, (2) phonotactic probability affects NWR, and (3) there is an interaction effect between phonotactic probability and vocabulary on NWR performance. The general aim of the…

Purpose: Educational institutions are caught between increasing their offer rates and attracting and retaining those prospective students who are most suited to course completion. The purpose of this paper is to demonstrate the influence of demographic and psychological constructs on students' preferences when choosing to study in a particular…

Purpose: The purpose of this paper is to develop a quantitative model of problem solving performance of students in the computer-based mathematics learning environment. Design/methodology/approach: Regularized logistic regression was used to create a quantitative model of problem solving performance of students that predicts whether students can…