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…

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'…

A pair of 6-sided dice cannot be relabeled to make the sums 2, 3,...., 12 equally likely. It is possible to label seven, 10-sided dice so that the sums 7. 8,..., 70 occur equally often. We investigate such relabelings for "pq"-sided dice, where "p" and "q" are distinct primes, and show that these relabelings usually…

The present study tested whether participants would discount "won" money differently than they would "owed" money in a probability-discounting task. Participants discounted $1000 or $100,000 that they had won in a sweepstakes or that was owed to them using the multiple-choice (Experiment 1) or fill-in-the-blank (Experiment 2) method of collecting…

The current study investigates the relative extent to which information utility and planning efficiency guide information-sampling strategies in a classification task. Prior research has pointed to the importance of probability gain, the degree to which sampling a feature reduces the chance of error, in contexts where participants are restricted…

Research on verbal probabilities has shown that "unlikely" or "improbable" events are believed to correspond to numerical probability values between 10% and 30%. However, building on a pragmatic approach of verbal probabilities and a new methodology, the present paper shows that unlikely outcomes are most often associated with outcomes that have a…

The Stochastic Employment Problem(SEP) is a variation of the Stochastic Assignment Problem which analyzes the scenario that one assigns balls into boxes. Balls arrive sequentially with each one having a binary vector X = (X[subscript 1], X[subscript 2],...,X[subscript n]) attached, with the interpretation being that if X[subscript i] = 1 the ball…

A central issue in nonexperimental studies is identifying comparable individuals to remove selection bias. One common way to address this selection bias is through propensity score (PS) matching. PS methods use a model of the treatment assignment to reduce the dimensionality of the covariate space and identify comparable individuals. parallel to…

Increasing postsecondary enrolments, reducing university drop-outs, while, simultaneously, boosting graduation rates, is a worldwide dilemma, currently challenging any university and any educational system. One of the most pressing issues facing universities, however, is the number of students, who fail to graduate. The literature survey on gender…

The timing of education across the life cycle is differentially associated with older age health outcomes and socioeconomic status among military retirees, a subpopulation with common levels of adolescent health, but variation in educational timing. A year of education obtained before military service lowers the probability of poor health in…

In this paper, we estimate the effect of receiving financial aid for a cohort of students who enrolled at Politecnico di Milano (Italy) in the year 2007/2008, through a propensity score matching approach. Using administrative data about these students for four years, the impact of the financial aid on several dimensions of academic performance was…