This article is concerned with a subset of numerically stable and scalable algorithms useful to support computationally complex psychometric models in the era of machine learning and massive data. The subset selected here is a core set of numerical methods that should be familiar to computational psychometricians and considers whitening transforms…

The goal of creating evidence-based programs is to scale them at sufficient breadth to support population-level improvements in critical outcomes. However, this promise is challenging to fulfill. One of the biggest issues for the field is the reduction in effect sizes seen when a program is taken to scale. This paper discusses an economic…

Adaptive learning systems need large pools of examples for practice--thousands of items that need to be organized into hundreds of knowledge components within a domain model. Domain modeling and closely related student modeling are intensively studied in research studies. However, there is a gap between research studies and practical issues faced…

In this digital ITEMS module, we introduce the framework of nonparametric item response theory (IRT), in particular Mokken scaling, which can be used to evaluate fundamental measurement properties with less strict assumptions than parametric IRT models. We walk through the key distinction between parametric and nonparametric models, introduce the…

Researchers in many disciplines work with ranking data. This data type is unique in that it is often deterministic in nature (the ranks of items "k"-1 determine the rank of item "k"), and the difference in a pair of rank scores separated by "k" units is equivalent regardless of the actual values of the two ranks in…

The National Implementation Research Network (NIRN) and the National Center for School Turnaround (2018) published the "Four Domains for Rapid School Improvement: An Implementation Framework" as a companion to the Center for School Turnaround's (2017) recent publication of "The Four Domains for Rapid School Improvement: A Systems…

Mokken scale analysis (MSA) is a probabilistic-nonparametric approach to item response theory (IRT) that can be used to evaluate fundamental measurement properties with less strict assumptions than parametric IRT models. This instructional module provides an introduction to MSA as a probabilistic-nonparametric framework in which to explore…

This article provides a brief introduction to the Rasch model. Motivation for using Rasch analyses is provided. Important Rasch model concepts and key aspects of result interpretation are introduced, with major points reinforced using a simulation demonstration. Concrete guidelines are provided regarding sample size and the evaluation of items.

Use of mobile devices and widespread adoption of wireless networks have enabled the emergence of Ubiquitous Computing. Application of this technology to improving education strategies gave rise to Ubiquitous e-Learning, also known as Ubiquitous Learning. There are several approaches to organizing ubiquitous learning environments, but most of them…

Massive Open Online Courses (MOOCs) are becoming an increasingly popular choice for education but, to reach their full extent, they require the resolution of new issues like assessing students at scale. A feasible approach to tackle this problem is peer assessment, in which students also play the role of assessor for assignments submitted by…

The Pyramid Model for Supporting Social Emotional Competence in Infants and Young Children (Hemmeter, Fox, & Snyder, 2013), or the Pyramid Model, is a conceptual framework focused on systemic and sustained implementation of evidence-based practices (EBP) related to promoting social emotional competence and preventing challenging behaviors in…

If students are to meet higher standards, all educators in the system have to learn how to engage students in reasoning about complex ideas. What levers can state boards of education and state education agencies pull to support the professional learning that makes this possible? A research-practice partnership in Tennessee may shed light on this…

Cultural consensus theory (CCT) is a data aggregation technique with many applications in the social and behavioral sciences. We describe the intuition and theory behind a set of CCT models for continuous type data using maximum likelihood inference methodology. We describe how bias parameters can be incorporated into these models. We introduce…

In the upper northeast corner of the United States, the commitment to competency education has grown so strong that entire states are embracing it through high-leverage comprehensive policies. Of the six New England states -- Connecticut, Maine, Massachusetts, New Hampshire, Rhode Island, and Vermont -- four have established comprehensive state…

Amidst calls to personalize learning and blend K-12 classrooms, all too often we stop short of specifics. When the Highlander Institute and the Clayton Christensen Institute came together last year to plan the 2016 Blended and Personalized Learning Conference, their goal was to organize an event that put practitioners at the center of the…