The Nolan Index (NI) is a normed, quantitative measure for comparing the degree of resemblance (similarity or dissimilarity) between free listings with an Excel program for calculating it. This article enhances that effort with the addition of an R program and additional applications. Free-list resemblance measures have been used to investigate…

The Pirie-Kieren Model (PKM) was a paradigm shift in theories of learning by presenting a coherent, consistent theory compatible with complexity theory. PKM recognized that learning is non-linear, recursive, iterative, and emergent. PKM was one of the first theories to depart from the linear models of learning that dominated theories of learning…

Learners with disabilities enter school without the prerequisite numeracy and mathematics skills to perform at or near the level of their typically developing peers. Even simple addition problems require prerequisite skills that are often not taught directly in schools. Identifying and teaching those missing skills would reduce the learning gap…

The ongoing literacy crisis in the U.S. highlights an urgent need for effective, scalable literacy instruction. REED Charitable Foundation (RCF) is a non-profit organization that provides structured literacy training informed by Orton-Gillingham, along with ongoing professional coaching and comprehensive implementation support to help all students…

The dimensional comparison theory (DCT) focuses on the effects of internal, dimensional comparisons (e.g., "How good am I in math compared to English?") on academic self-concepts with widespread consequences for students' self-evaluation, motivation, and behavioral choices. DCT is based on the internal/external frame of reference model…

Professional stories that live within multiple retellings throughout one's career can, when the teller analyzes them, be useful in unearthing influential pedagogical assumptions. The author retells a classroom story, examines unacknowledged fears rooted within the story's elements, and uses a five-point framework for analyzing related assumptions…

The series of Working Alliance Inventories remains the most extensively researched and utilized instruments to measure the working alliance. However, these instruments have not been normed and validated among individuals on probation or parole. Therefore, this study provides psychometric properties for a modified, offender version of the Working…

This paper investigates whether inferences about school performance based on longitudinal models are consistent when different assessments and metrics are used as the basis for analysis. Using norm-referenced (NRT) and standards-based (SBT) assessment results from panel data of a large heterogeneous school district, we examine inferences based on…

Changes to state tests impact the ability of State Education Agencies (SEAs) to monitor change in performance over time. The purpose of this study was to evaluate the Standardized Performance Growth Index (PGIz), a proposed statistical model for measuring change in student and school performance, across transitions in tests. The PGIz is a…

In order to evaluate student learning achievement, several aspects should be considered, such as exercises, examinations, and observations. Traditionally, such an evaluation calculates a final score using a weighted average method after awarding numerical scores, and then determines a grade according to a set of established crisp criteria.…

Emphasis on regular mathematics skill assessment, intervention, and progress monitoring under the RTI model has created a need for the development of assessment instruments that are psychometrically sound, reliable, universal, and brief. Important factors to consider when developing or selecting assessments for the school environment include what…

This "Practitioner's Guide to Growth Models," commissioned by the Technical Issues in Large-Scale Assessment (TILSA) and Accountability Systems & Reporting (ASR), collaboratives of the "Council of Chief State School Officers," describes different ways to calculate student academic growth and to make judgments about the…

Annual student achievement data derived from state assessment programs have led to widespread enthusiasm for statistical models suitable for longitudinal analysis. The current policy environment's adherence to high stakes accountability vis-a-vis No Child Left Behind (NCLB)'s universal proficiency mandate has fostered an impoverished view of what…

Background: Large-scale randomised controlled trials are relatively rare in education. The present study approximates to, but is not exactly, a randomised controlled trial. It was an attempt to scale up previous small peer tutoring projects, while investing only modestly in continuing professional development for teachers. Purpose: A two-year…

This study examined a model of assessment that could be applied nationally for Year Twelve Vocational Education and Training (VET) subjects and which could yield both a differentiating score and recognition of competence. More than fifty colleges across all states and territories of Australia field-tested the approach over one school year. Results…