This paper presents a dynamic Excel visual. The visual has three graphs that are all driven by the same data, so students can see how changes (via Slider controls) in data appear on a univariate graph, a bivariate graph, and a graph that shows a ratio of two variables on one axis. The visual has macros that let a statistics teacher reveal parts of…

Situations of catastrophic social change, such as COVID-19, raise complex, interdisciplinary research questions that intersect health, education, economics, psychology, and social behavior and require mixed methods research. The pandemic has been a quickly evolving phenomenon, which pressures the time necessary to perform mixed methods research.…

It is well known that there is a unique circle passing through three specified points if and only if they are non-collinear. We show that there is also a unique circle passing through the endpoints of diameters of three specified circles if and only if they have non-collinear centres.

The key aim of this special issue is to make developmental theory proposals concrete enough to evaluate with empirical data. With this in mind, I discuss proposals from the "Universal Grammar + statistics" (UG+stats) perspective for learning several morphology and syntax phenomena. I briefly review why UG has traditionally been part of…

This article problematizes methodological practices, specifically the use of surveys as tools of measurement in evaluation with migrant youth. Drawing from Foucault's "Genealogy of Ethics," we investigate the knowledge created about particular minoritized groups through the author's current evaluation, the power relations involved, and…

The role of the teacher, specifically teacher craft, is central to engaging students in effective reading instruction. However, the science of reading has revealed that the content taught is also important to reading acquisition. Although the science of reading was aggregated some two decades ago to result in what became known as the five big…

A standard problem for physics students is to calculate or measure the acceleration of an object down an inclined plane. Additional information can be obtained by measuring the angular acceleration as well as the linear acceleration. An experiment is described where a billiard ball was filmed as it rolled down an inclined plane at different…

This study proposed a recursion-based analytical approach to assess measurement precision of ability estimation and classification accuracy in multistage adaptive tests (MSTs). A simulation study was conducted to compare the proposed recursion-based analytical method with an analytical method proposed by Park, Kim, Chung, and Dodd and with the…

Is the natural number 7 rational? Is it complex? We argue that the answers to these questions relate to the ways numbers are taught. Commonly, a new kind of numbers is presented as an expansion of a previously familiar kind of numbers, which results in a nested image of the relations between number sets. In this article, we introduce an…

What do a short car trip, a pandemic, the wood-wide fungal web, a challenging learning experience, a storm, transport logistics, and the language(s) we speak have in common? All of them are systems, or multiple sets of systems within systems. What happens in any set of circumstances will depend on a mix of initial conditions, complexity dynamics,…

Augmented Reality (AR) is a medium that gives people the ability to engage with digital information in ways that deviate from more traditional HCI methods (e.g. WIMP user interfaces (Christensson, 2014)). Previous work has shown that AR has useful implications for collaboration, and with remote work experiences and teleconferencing becoming…

It remains a challenge for teachers to integrate modeling tasks in everyday mathematics classes. Many studies have been conducted that show the difficulties faced by teachers. One of the challenging aspects in this regard is that of assessment. In the present study, a connection between structures of learners' solution strategies and cognitive…

Reports of the results of research within the emerging field of biochemistry education are appearing at an ever-increasing rate. Capturing an image of the landscape of Biochemistry Education Research (BCER) is complicated, however, by the interdisciplinary nature of biochemistry courses that may be taught at different levels and in different…

The assessment of tactics is a subject of great interest in physical education and sport pedagogy. However, the lack of knowledge of the topic and the variety of assessment instruments make the assessment of tactics difficult. This study aimed to describe assessment in relation to tactical learning outcomes through an analysis of assessment…

This study aimed to investigate the beliefs and practices of group work assessment of secondary school teachers. For this reason, 213 teachers were selected randomly for a questionnaire survey. In addition, two teachers and five students were selected for interviews and focus group discussions at each site, respectively. A one-sample t-test was…