One major drawback to the curriculum demand for the use of indigenous games in mathematics classrooms is the inability of most teachers to identify the mathematics in these games and consequently incorporate them when teaching specific mathematics content. The primary purpose of the study is therefore to analyze and show how the indigenous…

Inclusive educational practices are rooted in a body of research indicating that when students in need of support through special education are meaningfully included in schools, academic and social outcomes improve for all students. To realize this promise of better outcomes, traditional schools with separate classrooms and even schools designated…

Quantum mechanics (QMs) is a foundational subject in many science and engineering fields. It is difficult to teach, however, as it requires a fundamental revision of the assumptions and laws of classical physics and probability. Furthermore, introductory QM courses and texts predominantly focus on the mathematical formulations of the subject and…

Making causal inferences from a quasi-experiment is difficult. Sensitivity analysis approaches to address hidden selection bias thus have gained popularity. This study serves as an introduction to a simple but practical form of sensitivity analysis using Monte Carlo simulation procedures. We examine estimated treatment effects for a school-based…

This paper considers whether subject choice at 14-16 influences post-16 transitions, taking into account prior academic attainment and school characteristics, and if so, whether this accounts for socioeconomic, gender, and ethnic differences in access to post-16 education. We consider post-16 progression to full-time education, A-levels, and…

The National Math + Science Initiative's (NMSI's) College Readiness Program (CRP) is an established program whose goal is to promote science, technology, engineering, and mathematics education in high schools to improve students' readiness for college. The program provides teacher, student, and school supports to promote high school students'…

Predictive Learning Analytics (PLA) aim to improve learning by identifying students at risk of failing their studies. Yet, little is known about how best to integrate and scaffold PLA initiatives into higher education institutions. Towards this end, it becomes essential to capture and analyze the perceptions of relevant educational stakeholders…

These proceedings are a written record of the research presented at the 41st annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in St. Louis, Missouri, November 14-17, 2019. This year's conference theme is "...against a new horizon." The papers comprise 67…

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'…

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…