Drawing parallels to classical test theory, this article clarifies the difference between rater accuracy and reliability and demonstrates how category marginal frequencies affect rater agreement and Cohen's kappa. Category assignment paradigms are developed: comparing raters to a standard (index) versus comparing two raters to one another…

Magnitude understanding is critical for students to develop a deep understanding of fractions and more advanced mathematics curriculum. The research reports in this special issue underscore magnitude understanding for fractions and emphasize number lines as both an assessment and an instructional tool. In this commentary, we discuss how number…

There is an increasing interest in reporting test subscores for diagnostic purposes. In this article, we review nine popular R packages (subscore, mirt, TAM, sirt, CDM, NPCD, lavaan, sem, and OpenMX) that are capable of implementing subscore-reporting methods within one or more frameworks including classical test theory, multidimensional item…

We present a new method in textbook analysis, based on so-called praxeological reference models focused on specific content at task level. This method implies that the mathematical contents of a textbook (or textbook part) is analyzed in terms of the tasks and techniques which are exposed to or demanded from readers; this can then be interpreted…

This study investigates a strategy based on predictability of consecutive sub-lexical units in learning to segment a continuous speech stream into lexical units using computational modeling and simulations. Lexical segmentation is one of the early challenges during language acquisition, and it has been studied extensively through psycholinguistic…

The authors outline a four-factor model and philosophy for college mental health services that addresses the loss of comprehensiveness in some centers due to changes in organizational structure. Given research on demand for services and retention of those seen in centers, emphasis is placed in particular upon the value of consultation, outreach,…

Translating an informal mathematical argument into a proof which conforms to the norms of the mathematical community in which it is situated is a non-trivial task. Here we discuss several types of products, other than the initial informal argument and its direct formalisation, which we observed students generating in a master's level analysis…

The field of early childhood education (ECE) is currently unable to reach consensus on the extent to which ECE should be based on child development. One manifestation of this situation is the dilemma that early educators purportedly face between teaching the whole child and the curriculum, between developmentally appropriate practice (DAP) and…

Test score distributions of schools or demographic groups are often summarized by frequencies of students scoring in a small number of ordered proficiency categories. We show that heteroskedastic ordered probit (HETOP) models can be used to estimate means and standard deviations of multiple groups' test score distributions from such data. Because…

Recent research has proposed a criterion to evaluate the reportability of subscores. This criterion is a value-added ratio ("VAR"), where values greater than 1 suggest that the true subscore is better approximated by the observed subscore than by the total score. This research extends the existing literature by quantifying statistical…

In quantifying and qualifying the scope of academic labour, workload models serve multiple ends. They are intended to facilitate equitable and transparent divisions of academic work, to provide academics with a sense of whether their workload is reasonable relative to their colleagues, and universities with a mechanism for rationalising the…

This paper raises pertinent issues regarding an obvious gap that prevails between theory and practice in various professions. The paper makes it clear that there is theory-practice gap among professions; however, it focuses more on informing theory-practice gap in the teaching profession. The paper identifies and informs of causes, effects and…

With the development in computing technology, item response theory (IRT) develops rapidly, and has become a user friendly application in psychometrics world. Limitation in classical theory is one aspect that encourages the use of IRT. In this study, the basic concept of IRT will be discussed. In addition, it will briefly review the ability…

This article focuses on exploring students' understanding of the concept of function concerning three main aspects: secondary students' ability to (1) define the concept of function and present examples of functions, (2) solve tasks which asked them to recognize and interpret the concept of function presented in different forms of representation,…

The velocity by which a disturbance moves through the medium is the wave velocity. Pulse wave velocity is among the key parameters in hemodynamics. Investigation of wave propagation through the fluid-filled elastic tube has a great importance for the proper biophysical understanding of the nature of blood flow through the cardiovascular system.…