When fitting hierarchical regression models, maximum likelihood (ML) estimation has computational (and, for some users, philosophical) advantages compared to full Bayesian inference, but when the number of groups is small, estimates of the covariance matrix [sigma] of group-level varying coefficients are often degenerate. One can do better, even…

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'…

In his State of the Nation address on 7 February 2019, the president of the Republic of South Africa. Mr. Cyril Ramaphosa, stated that the government would provide digital workbooks and textbooks to every school child in South Africa by 2025. (De Villiers, 2019). This announcement begs the question how effective the incorporation of Information…

The overall aim of this study is to investigate the effect of school-related factors and early learning experiences on mathematics achievement. In this causal-comparative research, HLM analysis was performed on the data of 6378 students, their parents, and 241 school principals and primary school teachers. As a result of the HLM analysis, at the…

Data from a large-scale math intervention program were used to evaluate the degree to which implementation fidelity (IF) and interventionist content knowledge were associated with student outcomes. Data were available for 33 interventionists serving 658 students in Grades 4-6 across one school year. A series of multilevel models were fit to the…

Young children are able to benefit from early science teaching but many preschool teachers have not had opportunities to deepen their own understanding of science or to develop their pedagogical content knowledge (PCK) in relation to specific science topics and concepts. This study presents the results of efficacy research on Foundations of…

Measures of variability are successfully used in predictive modeling in research areas outside of education. This study examined how standard deviations can be used to address research questions not easily addressed using traditional measures such as group means based on index variables. Student survey data were obtained from the Organisation for…

Some universal behavioural screening processes require classroom teachers to complete a risk assessment measure on each student in their class, leading to a possible, but unexplored, problem: risk assessment scores may be influenced by the teacher completing the measure. The current study investigated whether teacher-reported risk assessment…

This study investigated the relationship between socio-economic status, school-level variables and mathematics achievement of sixth graders in Kenya and Zimbabwe. The study is based on secondary data collected by the Southern and Eastern Africa Consortium for Monitoring Educational Quality (SACMEQ III). SACMEQ employed cluster-sampling procedures…

In the rapid development of Chinese higher vocational education, large gaps have appeared in the scale of development and resource generation among the provinces, among regions in the provinces, and among higher education institutions in the provinces. Balanced regional development and provincial-level coordination have become policy focal points,…

For over two decades, there have been calls to assess the relationship of the features of teacher preparation programs to teacher effectiveness, to provide guidance for program improvement. At the middle grades level, theory suggests that coursework in educational psychology is particularly important for teacher effectiveness. Using 4 years of…

This study investigates how the use of calculators during high school mathematics courses is associated with student performance in introductory college calculus courses in the USA. Data were drawn from a nationally representative sample of 7087 students enrolled in college calculus at 134 colleges and universities. They included information about…

This study adopted a cross-sectional and correlational research design in an attempt to add our understanding of student- and teacher-level factors that help explain variability in students' science achievement to the existing literature. More specifically, the present article examined students' science achievement in relation to their…

We explored the associations between student-perceived teaching behaviours and negative affect (NA) and positive affect (PA) in upper elementary age students, both before and after controlling for perceived parenting behaviours. The Teaching Behaviour Questionnaire, the Alabama Parenting Questionnaire, and the Positive and Negative Affect Schedule…

The traditional discourse in the scholarship on cultural capital theory has focused on how exclusive participation in elite status culture by students from higher socioeconomic status families benefits their learning in schools, the effects of which are most evident in linguistic subject areas such as reading achievement. However, some scholars…