Introduction: Item response theory (IRT) has received much attention in validation of assessment instrument because it allows the estimation of students' ability from any set of the items. Item response theory allows the difficulty and discrimination levels of each item on the test to be estimated. In the framework of IRT, item characteristics are…

Qualitative Comparative Analysis (QCA) is said to be a method that can be used to uncover social complexity. However, this complexity is often 'missing in action' in actual empirical applications of the method. We aim to rearticulate the properties of social and causal complexity in their relationship to QCA. We first discuss the reasons why this…

We discuss how research on student difficulties was used as a guide to develop, validate, and evaluate a Quantum Interactive Learning Tutorial (QuILT) to help students learn how to determine the completely symmetric bosonic or completely antisymmetric fermionic wave function and be able to compare and contrast them from the case when the particles…

The choice of anchor tests is crucial in applications of the nonequivalent groups with anchor test design of equating. Sinharay and Holland (2006, 2007) suggested "miditests," which are anchor tests that are content-representative and have the same mean item difficulty as the total test but have a smaller spread of item difficulties.…

In this article the authors overview how the recently revised (version 9) Australian Curriculum (Australian Curriculum Assessment and Reporting Authority, 2022) and student difficulties with fractions relate to five developmental Fraction Schemes developed from multiple research projects in the literature. The article shares research findings from…

Providing students with opportunities for peer interaction is considered best practice in classroom teaching. However, facilitating peer interaction as part of distance education represents a new challenge for some teachers. The present article raises eleven questions for teachers to consider when infusing cooperative learning (thoughtfully…

In recent years, the computerised adaptive test (CAT) has gained popularity over conventional exams in evaluating student capabilities with desired accuracy. However, the key limitation of CAT is that it requires a large pool of pre-calibrated questions. In the absence of such a pre-calibrated question bank, offline exams with uncalibrated…

The interpretation and implementation of ideas about the internationalisation of curricula (IoC) are complicated and multi-faceted. The complex and diverse perspectives on IoC reflect two concepts: "internationalisation" and "curriculum". These concepts embody contrasting perspectives on issues, including the competition-type…

This chapter introduces three applications of Bayesian inference to common and novel issues in second language research. After a review of the critiques of conventional hypothesis testing, our focus centers on ways Bayesian inference can be used for dealing with missing data, for testing theory-driven substantive hypotheses without a default null…

As part of the Race to the Top initiative, the United States Department of Education made nearly 1 billion dollars available in State Educational Technology grants with the goal of ramping up school technology. One result of this effort is that states, districts, and schools across the country are using computerized assessments to measure their…

A whirlwind of activity surrounds the topic of teaching and learning mathematics. The driving forces are a combination of changes in assessment and advances in technology that are being spurred on by the introduction of content in the Common Core State Standards for Mathematical Practice. Although the issues are certainly complex, the same forces…

This pedagogical article is intended to explain the similarities and differences between the parameterizations of two multilevel measurement model (MMM) frameworks. The conventional two-level MMM that includes item indicators and models item scores (Level 1) clustered within examinees (Level 2) and the two-level cross-classified MMM (in which item…

With careful consideration given to task selection, students can construct their own solution strategies to solve complex proportional reasoning tasks while the teacher's instructional goals are still met. Several aspects of the tasks should be considered including their numerical structure, context, difficulty level, and the strategies they are…

In this paper we present a new methodology for detecting differential item functioning (DIF). We introduce a DIF model, called the random item mixture (RIM), that is based on a Rasch model with random item difficulties (besides the common random person abilities). In addition, a mixture model is assumed for the item difficulties such that the…

This article reports on the design and use of a profiler for lexical sophistication (i.e., use of advanced vocabulary), which was created to assess the lexical richness of intermediate and advanced Swedish second language (L2) learners' French and Italian. It discusses how teachers' judgments (TJs) of word difficulty can contribute to the…