One major aim of international large-scale assessments (ILSAs) is to monitor changes in student performance over time. To accomplish this task, a set of common items is repeatedly administered in each assessment and linking methods are used to align the results from the different assessments on a common scale. The present article introduces a…

This paper makes a proposal, from the perspective of a research mathematician interested in mathematics education, for broadening and deepening whole number arithmetic instruction, to make it more relevant for the twenty-first century, in particular, to enable students to deal with large numbers, arguably an essential skill for modern citizenship.…

Predictability of behavior is an important characteristic in many fields including biology, medicine, marketing, and education. When a sequence of actions performed by an individual can be modeled as a stationary time-homogeneous Markov chain the predictability of the individual's behavior can be quantified by the entropy rate of the process. This…

When data for multiple outcomes are collected in a multilevel design, researchers can select a univariate or multivariate analysis to examine group-mean differences. When correlated outcomes are incomplete, a multivariate multilevel model (MVMM) may provide greater power than univariate multilevel models (MLMs). For a two-group multilevel design…

Previous research has successfully used basic psychological need satisfaction and achievement goal approaches for describing the motivations of university faculty for teaching and for explaining differences in faculty experiences, success, and learning. However, the interplay between these motivational constructs has been largely ignored, with…

For decades, achievement goal theory has been extensively used, but empirical research still requires a clearer understanding of the underlying factors conceptualized and measured during secondary school periods. In light of the increasing use of longitudinal studies in motivation research, this study aims to investigate the longitudinal…

Foreign language testing is a multi-dimensional phenomenon and obtaining objective and error-free scores on learners' language skills is often problematic. While assessing foreign language performance on high-stakes tests, using different testing approaches including Classical Test Theory (CTT), Generalizability Theory (GT) and/or Item Response…

The Abbreviated Math Anxiety Scale (AMAS) is commonly used to compare groups on math anxiety. Group comparisons should however be preceded by a demonstration of metric and scalar measurement invariance, which is currently only available for undergraduate students in the USA. This study tested for metric and scalar measurement invariance of AMAS…

Measurement invariance is crucial for making valid comparisons across different groups (Kline, 2016; Vandenberg, 2002). To address the challenges associated with invariance testing such as large sample size requirements, the complexity of the model, etc., applied researchers have incorporated parcels. Parcels have been shown to alleviate skewness,…

The present study examines the measurement property of instructional quality in mathematics education, building on data from teachers and students, by combing TALIS 2013 and PISA 2012 linkage data from seven countries. Confirmatory factor analysis was applied to examine the dimensionality of the construct instructional quality in mathematics…

Multidimensional item response theory (MIRT) models have generated increasing interest in the psychometrics literature. Efficient approaches for estimating MIRT models with dichotomous responses have been developed, but constructing an equally efficient and robust algorithm for polytomous models has received limited attention. To address this gap,…

This study presents a new approach to synthesizing differential item functioning (DIF) effect size: First, using correlation matrices from each study, we perform a multigroup confirmatory factor analysis (MGCFA) that examines measurement invariance of a test item between two subgroups (i.e., focal and reference groups). Then we synthesize, across…

When students present writing tasks that require higher order thinking skills to work, one of the most important problems is scoring these writing tasks objectively. The fact that raters give scores below or above their performance based on several environmental factors affects the consistency of the measurements. Inconsistencies in scoring…

According to a prominent hypothesis, the occurrence of educational mismatches is consistent with human capital theory since over- and undereducation are substitutes for heterogeneity in the abilities and skills among educational peers. Using German data[superscript 1] of literacy and numeracy test scores, I find evidence that compared to their…

Comparatively little research exists on single-skill math (SSM) curriculum-based measurements (CBMs) for the purpose of monitoring growth, as may be done in practice or when monitoring intervention effectiveness within group or single-case research. Therefore, we examined a common variant of SSM-CBM: 1 digit × 1 digit multiplication. Reflecting…