Abstract Background Conceptual and procedural knowledge are two distinct types of mathematical knowledge. Measuring them with sufficient discriminant validity is challenging because they are typically highly correlated. Prior studies have demonstrated discriminant validity of paper‐and‐pencil measures separately for fractions and algebra.
Michael D'Erchie +3 more
wiley +1 more source
Compacting the Time Evolution of the Forced Morse Oscillator Using Dynamical Symmetries Derived by an Algebraic Wei-Norman Approach. [PDF]
Hamilton JR, Remacle F, Levine RD.
europepmc +1 more source
Social and emotional pathways to shame reduction: An RCT with preservice teachers
Abstract Background Shame is an unpleasant, activating emotion that has been shown to undermine learners' motivation and achievement and identity development in mathematics education. Recent studies have implemented positive psychology interventions (PPIs) to reduce preservice teachers' shame in mathematics, with promising quantitative outcomes ...
Lara Gildehaus, Lars Meyer‐Jenßen
wiley +1 more source
Geometric and arithmetic characterization of [Formula: see text]-module flatness with applications to tensor products. [PDF]
Tang JG, Lei HR, Liu M, Peng JY.
europepmc +1 more source
An extension of the basic local independence model to multiple observed classifications
Abstract The basic local independence model (BLIM) is appropriate in situations where populations do not differ in the probabilities of the knowledge states and the probabilities of careless errors and lucky guesses of the items. In some situations, this is not the case. This work introduces the multiple observed classification local independence model
Pasquale Anselmi +8 more
wiley +1 more source
The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics. [PDF]
Gu Y, Wang J.
europepmc +1 more source
Abstract Reliability evaluation is critical in fields such as psychology and medicine to ensure accurate diagnosis and effective treatment management. When participants are evaluated by the same raters, a two‐way ANOVA model is suitable to model the data, with the intraclass correlation coefficient (ICC) serving as the reliability metric.
Dipro Mondal +3 more
wiley +1 more source
Connected Components on Lie Groups and Applications to Multi-Orientation Image Analysis. [PDF]
van den Berg NJ, Mula O, Vis L, Duits R.
europepmc +1 more source
Abstract Hidden Markov diagnostic classification models capture how students' cognitive attributes evolve over time. This paper introduces a Bayesian Markov chain Monte Carlo algorithm for diagnostic classification models that jointly estimates time‐varying Q matrices, latent attributes, item parameters, attribute class proportions and transition ...
Chen‐Wei Liu
wiley +1 more source
Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Papillon M +10 more
europepmc +1 more source

