Rater-mediated assessments require the evaluation of the accuracy and consistency of the inferences made by the raters to ensure the validity of score interpretations and uses. Modeling rater response processes allows for a better understanding of how raters map their representations of the examinee performance to their representation of the…

The identification of rapid guessing is important to promote the validity of achievement test scores, particularly with low-stakes tests. Effective methods for identifying rapid guesses require reliable threshold methods that are also aligned with test taker behavior. Although several common threshold methods are based on rapid guessing response…

Many psychometric measures yield data that are compatible with (a) an essentially unidimensional factor analysis solution and (b) a correlated-factor solution. Deciding which of these structures is the most appropriate and useful is of considerable importance, and various procedures have been proposed to help in this decision. The only fully…

When first learning how to write mathematical proofs, it is often easier for students to work with statements using the universal quantifier. Results that single out special cases might initially come across as more puzzling or even mysterious. In this article we explore three specific statements from abstract algebra that involve the number…

In order to reach valid and reliable test scores, various test theories have been developed, and one of them is nonparametric item response theory (NIRT). Mokken Models are the most widely known NIRT models which are useful for small samples and short tests. Mokken Package is useful for Mokken Scale Analysis. An important issue about validity is…

Mathematics in its nature is exploratory, giving learners a chance to view it from different perspectives. However, during most of their schooling, South African learners are rarely exposed to mathematical explorations, either because of the lack of resources or the nature of the curriculum in use. Perhaps, this is due to teachers' inability to…

Over a 6-year period, a sociolinguistic and sociocultural project was undertaken by Alaska Native expert educators and linguists (aka the Yup'ik Expert Group) from the Yup'ik community in the Lower Kuskokwim School District, Central Alaska. The native experts developed their own culturally sustainable, valid, and reliable Kindergarten through…

This article addresses conceptual and methodological shortcomings regarding conducting and interpreting intelligence test factor analytic research that appeared in the Decker, S. L., Bridges, R. M., Luedke, J. C., & Eason, M. J. (2020). Dimensional evaluation of cognitive measures: Methodological confounds and theoretical concerns.…

State summative educational assessment is about to begin in earnest. Rightfully, many are raising questions about the quality, meaning, and appropriate use of the assessment results. This document was written to support state educational agencies (SEAs) and their assessment providers in devising effective and efficient analysis plans. This…

Published work on vocabulary assessment has grown substantially in the last 10 years, but it is still somewhat outside the mainstream of the field. There has been a recent call for those developing vocabulary tests to apply professional standards to their work, especially in validating their instruments for specified purposes before releasing them…

In December 2022, federal, state and territory education ministers released a National Teacher Workforce Action Plan to improve teacher supply and retention in the profession. While recognising the important role that Highly Accomplished and Lead Teacher (HALT) certification could play, the plan also recognised that the current approach to…

As a research field geared toward understanding and improving learning, Learning Analytics (LA) must be able to provide empirical support for causal claims. However, as a highly applied field, tightly controlled randomized experiments are not always feasible nor desirable. Instead, researchers often rely on observational data, based on which they…

Undergraduate mathematics instructors are called by many current standards to promote prospective teachers' learning of geometry from a transformation perspective, marking a change from previous standards. The novelty of this situation means it is unclear what is involved in undergraduate learning and teaching of geometry from a transformation…

The cutting-edge technology, namely Cloud of Things (CoT) has shaped the existing business process into a new orientation in terms of performance, usability, and reliability. Among different business processes, online education is one of the prime areas where CoT can be used to make it more agile in the context of performance and usability. In…

Generative large language models (LLMs) like ChatGPT can quickly produce informative essays on various topics. However, the information generated cannot be fully trusted, as artificial intelligence (AI) can make factual mistakes. This poses challenges for using such tools in college classrooms. To address this, an adaptable assignment called the…