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William R. Dardick; Jeffrey R. Harring – Journal of Educational and Behavioral Statistics, 2025
Simulation studies are the basic tools of quantitative methodologists used to obtain empirical solutions to statistical problems that may be impossible to derive through direct mathematical computations. The successful execution of many simulation studies relies on the accurate generation of correlated multivariate data that adhere to a particular…
Descriptors: Statistics, Statistics Education, Problem Solving, Multivariate Analysis
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Jannis Zeller; Josef Riese – Journal of Research in Science Teaching, 2025
There have been several attempts to conceptualize and operationalize pedagogical content knowledge (PCK) in the context of teachers' professional competencies. A recent and popular model is the Refined Consensus Model (RCM), which proposes a framework of dispositional competencies (personal PCK--pPCK) that influence more action-related…
Descriptors: Teacher Competencies, Pedagogical Content Knowledge, Models, Preservice Teachers
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Minghui Wang; Meagan Sundstrom; Karen Nylund-Gibson; Marsha Ing – Physical Review Physics Education Research, 2025
Clustering methods are often used in physics education research (PER) to identify subgroups of individuals within a population who share similar response patterns or characteristics. Among these, k-means (or k-modes, for categorical data) is one of the most commonly used clustering methods in PER. This algorithm, however, is distance-based rather…
Descriptors: Physics, Science Education, Educational Research, Multivariate Analysis