Modelling ability is one of the essential elements of the latest educational reforms, and Trends in International Mathematics and Science Study (TIMSS) is a curriculum-based assessment which allows educational systems worldwide to inspect the curricular influences. The aims of this study were to examine the role of modelling ability in the…

The purpose of this study was, first, to understand the item hierarchy regarding students' understanding of scientific models and modeling (USM). Secondly, this study investigated Taiwanese students' USM progression from 7th to 12th grade, and after participating in a model-based curriculum. The questionnaire items were developed based on 6…

Traditionally, teachers evaluate students' abilities via their total test scores. Recently, cognitive diagnostic models (CDMs) have begun to provide information about the presence or absence of students' skills or misconceptions. Nevertheless, CDMs are typically applied to tests with multiple-choice (MC) items, which provide less diagnostic…

The purpose of this study was to investigate the effect of a calculus system that was designed using an adaptive dynamic assessment (DA) framework on performance in the "finding an area using an integral". In this study, adaptive testing and dynamic assessment were combined to provide different test items depending on students'…

This paper discusses different conceptual frameworks for measuring mathematics pedagogical content knowledge (MPCK) in international comparison studies. Two large-scale international comparative studies, "Mathematics Teaching in the Twenty-First Century" (MT21; Schmidt et al., 2011) and the "Teacher Education and Development Study…

Task difficulty is a critical issue affecting test developers. Controlling or balancing the item difficulty of an assessment improves its validity and discrimination. Test developers construct tests from the cognitive perspective, by making the test constructing process more scientific and efficient; thus, the scores obtained more precisely…

Both testlet design and hierarchical latent traits are fairly common in educational and psychological measurements. This study aimed to develop a new class of higher order testlet response models that consider both local item dependence within testlets and a hierarchy of latent traits. Due to high dimensionality, the authors adopted the Bayesian…

Educational assessment is a process of collecting evidence and interpreting it to provide instructors with information regarding students' learning. However, the current design and scoring of most standardized educational tests are insufficient to serve this purpose. The limitation exists primarily due to the lack of cognitive information…

Traditional approaches to the investigation of the objectivity of ratings for constructed-response items are based on classical test theory, which is item-dependent and sample-dependent. Item response theory overcomes this drawback by decomposing item difficulties into genuine difficulties and rater severity. In so doing, objectivity of ability…

Proposes a factorial procedure for investigating differential distractor functioning in multiple choice items that models each distractor with a distinct distractibility parameter. Results of a simulation study show that the parameters of the proposed modeling were recovered very well. Analysis of 10 4-choice items from a college entrance…

The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…