This study investigated the scalability of a cognitive multiple-choice test through the Mokken package in the R programming language for statistical computing. A 2019 mathematics West African Examinations Council (WAEC) instrument was used to gather data from randomly drawn K-12 participants (N = 2866; Male = 1232; Female = 1634; Mean age = 16.5…

The Tennessee Voluntary Pre-K Program (TN-VPK) is statewide full-day program that gives priority to children from low-income families. A regression-discontinuity design with a statewide probability sample of 155 TN-VPK classrooms and 5,189 children participating across two pre-K cohorts found positive effects at kindergarten entry with the largest…

Learning to solve arithmetic word problems is an essential part of the primary school mathematics curriculum. The success of word-problem solving was previously found to relate to reading comprehension ability of children. However, the relationships between specific reading comprehension component skills and word-problem solving remain largely…

Powder diffraction is one of the most widely used analytical techniques for characterizing solid state materials. It can be used for phase or polymorph identification, quantitative analysis, cell parameter determination, or even full crystal structure analysis using the powerful Rietveld refinement method. As with much of modern crystallography,…

Teaching data analysis by providing students with real-world problems and datasets allows students to integrate a variety of skills in a situation that mirrors how data analysis actually works. However, whole data analyses may obscure the individual skills of data analytic practice that are generalizable across data analyses. One such skill is the…

Knowledge tracing algorithms such as Bayesian Knowledge Tracing (BKT) can provide students and teachers with helpful information about their progress towards learning objectives. Despite the popularity of BKT in the research community, the algorithm is not widely adopted in educational practice. This may be due to skepticism from users and…

Student modeling is useful in educational research and technology development due to a capability to estimate latent student attributes. Widely used approaches, such as the Additive Factors Model (AFM), have shown satisfactory results, but they can only handle binary outcomes, which may yield potential information loss. In this work, we propose a…

These are the appendixes for the report, "Michigan Teachers Who Are Not Teaching: Who Are They, and What Would Motivate Them to Teach?" This study analyzed teacher certification and employment data and data from a survey of certified teachers who were not teaching in a Michigan public school in 2017/18 to gather information on the…

In preparing for their panel at the 2025 International Conference on Assessing Quality in Higher Education, the authors shared perspectives on how they strive to be responsive to students' needs in ways that inspire and facilitate positive change. Within these conversations, they wondered: "What is within our power to embrace student-centered…

When researchers code behavior that is undetectable or falls outside of the validated ordinal scale, the resultant outcomes often suffer from informative missingness. Incorrect analysis of such data can lead to biased arguments around efficacy and effectiveness in the context of experimental and intervention research. Here, we detail a new…

The concept of correlation arises in Unit 3 of General Mathematics in the Australian Curriculum (ACARA, 2010-present). University students will meet the topic in applied statistics subjects in courses on business, psychology, research methods as well as in mathematical subjects on probability and statistics. When students are introduced to the…

This study aimed to examine the importance levels of mathematics-specific trend variables in PISA (Programme for International Student Assessment) 2003 and 2012 in predicting mathematics performance across years with a two-step analysis method. The sample of the study was 9703 Turkish students (N[subscript 2003]=4855 and N[subscript 2012]=4848)…

A key element of statistical literacy is the construction and interpretation of graphs. In this article, the author uses examples of student work (Years 3 and 4), at an Australian school, to show some of the complex steps involved in creating a formal graph from a data table. Over time the student's observations and understanding become more…

The current COVID-19 situation has seen a plethora of data, statistics and predictions presented to society--some making incredible claims. The authors are concerned that statistics and probability still receive inadequate attention in the classroom, leaving students without the statistical literacy needed to make sense of the claims being made.…

Synthesizing findings about the indirect (mediated) effect plays an important role in determining the mechanism through which variables affect one another. This simulation study compared six methods for synthesizing indirect effects: correlation-based MASEM, parameter-based MASEM, marginal likelihood synthesis, an adjustment to marginal likelihood…