We present a method for Bayesian structural equation modeling of sample correlation matrices as correlation structures. The method transforms the sample correlation matrix to an unbounded vector using the matrix logarithm function. Bayesian inference about the unbounded vector is performed assuming a multivariate-normal likelihood, with a mean…

In this article, the authors share their favorite "Construct It!" activity, which focuses on rate of change and functions. The initial approach to instruction was procedural in nature and focused on making use of formulas. Specifically, after modeling how to find the slope of the line given two points and use it to solve for the…

Online and blended learning (OBL) overemphasize the process of creating artifacts, producing strategies, or otherwise utilizing a "making" orientation in education. As an alternative to this making-orientation, we offer a model for relational course design founded in the philosophies of Emmanuel Levinas and Martin Buber. We examine an…

In modern Western education, the visual arts have come to hold a problematic position in the school curriculum. Art is often classified by school leaders, students, parents and even teachers as different from other subjects; sometimes viewed as almost magical, enabling students to explore and develop an innate creativity; sometimes simply…

We review common situations in Bayesian latent variable models where the prior distribution that a researcher specifies differs from the prior distribution used during estimation. These situations can arise from the positive definite requirement on correlation matrices, from sign indeterminacy of factor loadings, and from order constraints on…

Increasing concerns about the trustworthiness of research have prompted calls to scrutinise studies' Individual Participant Data (IPD), but guidance on how to do this was lacking. To address this, we developed the IPD Integrity Tool to screen randomised controlled trials (RCTs) for integrity issues. Development of the tool involved a literature…

The author has been influenced throughout his time in mathematics education by the work of Caleb Gattegno. Gattegno made extensive use of the word awareness whereas much educational literature from a psychological perspective talks about memory (for example, Justicia-Galiano, MartÌn-Puga, Linares & Pelegrina, 2017). This has, amongst other…

In this article, the authors utilize the philosophical methodology developed by Michael Hardt and Antonio Negri to formulate a theory of educational realism. The goal is to posit an embodied form of education that emerges from within the movements of the multitude. The connection between multitudinous movement and education is the concept of…

Effect sizes are important because they are an accessible way to indicate the practical importance of observed associations or differences. Standardized mean difference (SMD) effect sizes, such as Cohen's d, are widely used in education and the social sciences -- in part because they are relatively easy to calculate. However, SMD effect sizes…

In higher education, educators establish complex learning outcomes for students to achieve during their collegiate studies. These outcomes, given their complexity, necessitate an advanced approach to studying the teaching and learning process as it unfolds in real time. We brought together extant literature and our own research experience studying…

Maria Montessori developed an educational program during the first half of the 20th century. Nowadays, the Montessori method (MM) is considered one of the main alternatives to teacher-paced conventional preschool education. This review aims to open a dialogue between the MM and current understanding of neurodevelopment. Four conceptual pillars of…

In this article, the authors provide some insight into how teachers can potentially facilitate among students' representations and activities on mathematical tasks: between or among -- (1) student representations and the context; (2) multiple forms of student representations; and (3) processes in student representations. The authors use the…

Despite extensive conceptualization of ions as hard spheres in most textbooks, solid-state structures are more accurately modeled as overlapping soft spheres that better reflect the size of the ions. The corresponding soft-sphere ionic radii of alkali and halide ions can be empirically established from the partial molar volume of the ions in…

In carrying out surveys involving sensitive characteristics, randomized response models have been considered among the best techniques since they provide the maximum privacy protection to the respondents and procure honest responses. Over the years, researchers have carried out studies on the estimation of proportions of the population possessing…

This article outlines a series of lessons the author led to help students understand gerrymandering, which is the practice of drawing district boundaries to favor a particular group or party and which undermines the fairness of a representative democracy. These lessons were developed to capture student interest and engagement by linking…