Several variants of the autoregressive structural equation model were suggested over the past years, including, for example, the random intercept autoregressive panel model, the latent curve model with structured residuals, and the STARTS model. The present work shows how to place these models into a mixed-effects model framework and how to…

Penalized structural equation models (PSEM) is a new powerful estimation technique that can be used to tackle a variety of difficult structural estimation problems that can not be handled with previously developed methods. In this paper we describe the PSEM framework and illustrate the quality of the method with simulation studies.…

Currently, dynamic structural equation modeling (DSEM) and residual DSEM (RDSEM) are commonly used in testing intensive longitudinal data (ILD). Researchers are interested in ILD mediation models, but their analyses are challenging. The present paper mathematically derived, empirically compared, and step-by-step demonstrated three types (i.e.,…

Research on computing in higher education research has been dominated by studies on "things that work" (or not). While useful, the field now needs more research on authentic tech-related problems of practice and viable solutions that resolve them. This article describes one such approach: Educational Design Research (EDR). It begins with…

Discrete time models, one linear and one non-linear, are investigated, both with a herbivore species that consumes a basal food source species. Results are presented for coexistence of the species and to illustrate chaotic behaviour as parameters are varied in the non-linear model. The results indicate the benefit of fertilization in terms of the…

As learning analytics use grows across U.S. colleges and universities, so does the need to discuss the plans, purposes, and paths for the data collected via learning analytics. More specifically, students, faculty, and others who are impacted by learning analytics use should have more information about their campus' learning analytics practices…

Partially automated assessment is implemented via the 'Printable worksheet' mode in the Numbas e-assessment system to create a mathematical modelling worksheet which is individualised with random parameters but completed and marked as if it were a non-automated piece of coursework, preserving validity while reducing the risk of academic misconduct…

The purpose of this paper is to propose a framework to guide the study of classroom factors that promote student functioning and development within classroom settings. First, we describe a new framework, "Classroom Carrying Capacity," to categorize factors in the classroom as limiting or resource factors across four domains: external,…

This primer systematizes the emerging literature on causal inference using deep neural networks under the potential outcomes framework. It provides an intuitive introduction to building and optimizing custom deep learning models and shows how to adapt them to estimate/predict heterogeneous treatment effects. It also discusses ongoing work to…

This paper, a conversation between Simon Grennan, Carol Wild, Miranda Matthews and Claire Penketh, explores drawing as cause and consequence, applying Grennan's thinking to three drawings as a means of exploring and exemplifying ideas discussed in his keynote at the iJADE Conference: Time in 2023. Following an initial introduction to key ideas…

Discussions of randomised controlled trials (RCTs) in education that do not show an impact regularly focus on the intervention and how it failed to impact on expected measures, with typologies identifying persistent critical points of failure. This paper uses one such RCT--the Integrating English programme--to exemplify the application of a new…

Personal experiences and cultural factors can shape art therapists' art making preferences and aversions. By reflecting on the Expressive Therapies Continuum (ETC), the author explores the impact of these realizations on her clinical practice with a case example. Implications for practice include the importance of understanding oneself as an…

The hanging rope problem is considered. The rope is subject to rotation with the rotation axis being parallel to the rope. Using a continuum model and the basic principles of dynamics, the differential equation governing the motion is derived. The dynamic equilibrium case without vibrational motion is assumed in deriving the equation. The equation…

Suppose "X" and "Y" are binary exposure and outcome variables, and we have full knowledge of the distribution of "Y," given application of "X." We are interested in assessing whether an outcome in some case is due to the exposure. This "probability of causation" is of interest in comparative…

The logistic differential equation is ubiquitous in calculus and differential equations textbooks. If the model is developed from first principles in these courses, it is usually done in an abstract mathematical way, rather than in one based in ecology. In this short note, we look at examples of how the model is derived in mathematical texts and…