This article describes several ways to connect probability to other topics within mathematics, over a range of year levels, and across the curriculum. It includes a description of common issues and misconceptions, and practical learning activities to address them.

We examined the relationship between family resilience and parenting stress among parents of children with autism spectrum disorder, with a specific focus on race/ethnicity as a moderator. Multivariate models indicated that family resilience was associated with parenting stress. Race/ethnicity significantly moderated the relationship between…

Normative discourse about probability requires shared meanings for disciplinary vocabulary. Previous research indicates that students' meanings for probability vocabulary often differ from those of mathematicians, creating a need to attend to developing students' use of language. Current standards documents conflict in their recommendations about…

Maintaining and cultivating student engagement is critical for learning. Understanding factors affecting student engagement can help in designing better courses and improving student retention. The large number of participants in massive open online courses (MOOCs) and data collected from their interactions on the MOOC open up avenues for studying…

Teacher turnover has adverse consequences for student achievement and imposes large financial costs for schools. Some have argued that high-stakes testing may lower teachers' satisfaction with their jobs and could be a major contributor to teacher attrition. In this paper, we exploit changes in the tested grades and subjects in Georgia to study…

At least sixteen US states have taken steps toward holding teacher preparation programs (TPPs) accountable for teacher value-added to student test scores. Yet it is unclear whether teacher quality differences between TPPs are large enough to make an accountability system worthwhile. Several statistical practices can make differences between TPPs…

Meta-analyses often include only a small number of studies ([less than or equal to]5). Estimating between-study heterogeneity is difficult in this situation. An inaccurate estimation of heterogeneity can result in biased effect estimates and too narrow confidence intervals. The beta-binominal model has shown good statistical properties for…

Through a sensitivity analysis, the analyst attempts to determine whether a conclusion of causal inference could be easily reversed by a plausible violation of an identification assumption. Analytic conclusions that are harder to alter by such a violation are expected to add a higher value to scientific knowledge about causality. This article…

Subscore reporting under item response theory models has always been a challenge partly because the test length of each subdomain is limited for precisely locating individuals on multiple continua. Diagnostic classification models (DCMs), providing a pass/fail decision and associated probability of pass on each subdomain, are promising…

This study examined the use of Bayesian analysis methods for the estimation of item parameters in a two-parameter logistic item response theory model. Using simulated data under various design conditions with both informative and non-informative priors, the parameter recovery of Bayesian analysis methods were examined. Overall results showed that…

To better understand how early work experience shapes subsequent employment outcomes for young people (ages 18 to 20) with disabilities, we analyzed longitudinal data from the Youth Transition Demonstration (YTD) evaluation to test whether the employment experiences of 1,053 youth during the initial year after entry affected their employment…

In this paper, the probability content in senior secondary mathematics Victorian curriculum between 1978 and 2016 was classified and compared, by content, context, procedural complexity, the SOLO thinking frameworks and use of technology. While probability continues to form an important and increasing component of the curriculum, it has moved from…

There has been some research in the use of propensity scores in the context of measurement error in the confounding variables; one recommended method is to generate estimates of the mis-measured covariate using a latent variable model, and to use those estimates (i.e., factor scores) in place of the covariate. I describe a simulation study…

The Monte Carlo method is one of the basic simulation statistical methods which can be used both to demonstrate basic probability and statistical concepts as well as to analyse the behaviour stochastic models. The introduction part of the article provides a brief description of the Monte Carlo method. The main part of the article is concentrated…

Most studies on the effects of tracks during secondary education focus on specific short-term academic performance indicators. This study compared the effects of tracks on long-term unemployment from 1995 to 2015, using a Flemish longitudinal cohort study (4,333 students in 54 schools). Tracks in Flanders have a hierarchy in mean academic ability.…