In this paper, we develop a mixed stochastic approximation expectation-maximization (MSAEM) algorithm coupled with a Gibbs sampler to compute the marginalized maximum a posteriori estimate (MMAPE) of a confirmatory multidimensional four-parameter normal ogive (M4PNO) model. The proposed MSAEM algorithm not only has the computational advantages of…

In this paper, we develop a mixed stochastic approximation expectation-maximization (MSAEM) algorithm coupled with a Gibbs sampler to compute the marginalized maximum a posteriori estimate (MMAPE) of a confirmatory multidimensional four-parameter normal ogive (M4PNO) model. The proposed MSAEM algorithm not only has the computational advantages of…

Profile analysis is one of the main tools for studying whether differential item functioning can be related to specific features of test items. While relevant, profile analysis in its current form has two restrictions that limit its usefulness in practice: It assumes that all test items have equal discrimination parameters, and it does not test…

Empirical research on teachers' professional knowledge is mostly conducted worldwide with reference to the construct 'pedagogical content knowledge' (PCK) introduced by Lee S. Shulman. In the 'Consensus Model' (CM) and the 'Refined Consensus Model' (RCM), PCK was further developed and differentiated. Nevertheless, neither PCK nor CM and RCM…

For assessment scales applied to different groups (e.g., students from different states; patients in different countries), multigroup differential item functioning (MG-DIF) needs to be evaluated in order to ensure that respondents with the same trait level but from different groups have equal response probabilities on a particular item. The…

This paper aims to identify and compare key factors influencing US States' or an OECD country's decision to employ student test scores or test score value-added (VAM) in evaluating teacher effectiveness. Analysis using multiple linear probability model and logistic regression frameworks indicates that the use of VAM/student test scores was…

Science academic achievement is a key construct for examining students' science learning outcomes. While international comparative assessments like TIMSS and PISA have shown high science achievement of Korean middle school students, there is a lack of comprehensive investigation of factors influencing the achievement using domestic data.…

Mathematical modelling is emphasised in curricula worldwide. Since 2006, mathematical modelling has been considered a fundamental process in the mathematics subject in Norwegian upper secondary schools. This study aimed to identify tensions in the approaches to mathematical modelling expressed in teacher interviews (N = 4) and framework discourses…

This study aims to evaluate the validity and practicality of a discovery-group learning model designed to enhance 21st century skills. The model includes a guidebook, teacher's book, student's book, and assessment sheet. The study involved three main stages: a preliminary study, prototype design, and evaluation. At the time of this article, the…