The standard methodology for many large-scale assessments in education involves regressing latent variables on numerous contextual variables to estimate proficiency distributions. To reduce the number of contextual variables used in the regression and improve estimation, we propose and evaluate principal component analysis on the covariance matrix…

Cognitive diagnostic assessment based on Bayesian networks (BN) is developed in this paper to evaluate student understanding of the physical concept of buoyancy. we propose a three-order granular-hierarchy BN model which accounts for both fine-grained attributes and high-level proficiencies. Conditional independence in the BN structure is tested…

Linear algebra is best done with block matrices. As evidence in support of this thesis, we present numerous examples suitable for classroom presentation.

Educational testing has been criticized for its disconnect from modern cognitive science and its limited role in improving instruction and student learning. Reform efforts emphasize the need for testing to provide specific diagnostic insights into students' skills and knowledge. Cognitive diagnosis (CD), an emerging paradigm in educational…

Children with autism spectrum disorder often lack fundamental play skills, which can aid development with social, language, and imitation skills (Boutot et al. 2005). The purpose of this study was to extend the previous literature that successfully combined video modeling and matrix training. Matrix training is an efficient way of teaching that…

The aim of this study is to examine the ability of pre-service mathematics teachers to detect errors made in solving questions about matrices. The study particularly focused on revealing the internalization of the teachings such as the meanings and relational dimensions of concepts and operations about matrix. The study was conducted with 26…

The Israeli contemporary artist, psychoanalyst, philosopher and aesthetics theorist, Bracha L. Ettinger, has made significant impacts with her "Ettingerian Matrixial Theory" since the early 1980s. This feminine-centric post-Lacanian theorizing has been taken up by many scholars and practitioners across diverse countries and disciplines…

All cognitive diagnostic models that evaluate educational test data require a Q-matrix that combines every item in a test with the required cognitive skills for each item to be answered correctly. Generally, the Q-matrix is constructed by education experts' judgment, leading to some uncertainty in its elements. Various statistical methods are…

Project-based learning (PjBL) is seeing increasing scholarly interest and pedagogical use in higher education, but instances of PjBL do not necessarily seek the same educational outcomes. Using the grounded theory method, the authors plot five courses in a PjBL program on a matrix of course design characteristics ranging from Fixed to Flexible and…

Teaching the noncommutativity of the product of matrices to high school or college level students is a difficult task when approached from a purely formal perspective. The aim of this paper is to present a simple experimental activity for teaching the noncommutativity of the matrix product, based on the Jones calculus, a mathematical formalism for…

This study investigated how and how often to present prompts to enhance students' source evaluation and multiple-text comprehension. Participants were 72 undergraduates who read a set of digital texts on a controversial topic of smartphone use and mental health, wrote a justification statement for their selection of trustworthy texts, and answered…

Managing education and research during pandemics has increased in importance since the onset of epidemics such as avian flu, SARS and now COVID-19. Successful management in times of crisis ensures business continuity and institutional survival, making preparedness preceding an impending pandemic essential. Institutions of higher education (IHEs)…

Natural Language Processing (NLP) offers methods for understanding and quantifying the similarity between written documents. Within the testing industry these methods have been used for automatic item generation, automated scoring of text and speech, modeling item characteristics, automatic question answering, machine translation, and automated…

The deviance information criterion (DIC) is widely used to select the parsimonious, well-fitting model. We examined how priors impact model complexity (pD) and the DIC for Bayesian CFA. Study 1 compared the empirical distributions of pD and DIC under multivariate (i.e., inverse Wishart) and separation strategy (SS) priors. The former treats the…

The Innovation Configuration for the Quality Indicators with Critical Components for Providing AEM and Accessible Technologies in Higher Education (IC for the AEM Quality Indicators) is designed to assist campus or university system teams with establishing an implementation plan and monitoring progress over time. As described by the CEEDAR Center,…