This article analyzes and experimentally verifies the stability behavior of the equilibrium states of a conical pendulum. An analysis of the motion presents that the equilibrium states of the pendulum are determined by the pendulum angular speed. For a given pendulum length there exists a critical angular speed that determines stability…

Points near the top end of a falling rod hinged at its bottom end can fall faster than g. If a rod falls on a frictionless surface then the bottom end slides backwards and the centre of mass falls vertically with acceleration less than g. The effect was simulated by mounting a rod on wheels and filming the result with a video camera. The…

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…

The research on students' perceptions after implementing a teaching style is recommended due to its potential to inform reformed education. The present study surveyed 319 students and revealed their perceptions of multimedia usage in teaching and learning quantum physics. Among these students, 156 were surveyed after learning quantum physics with…

Purpose: The impact of morphological knowledge on students' literacy development has been well documented. The purpose of this tutorial is to illustrate how school-based speech-language pathologists (SLPs) can target morphology in their interventions to support their students' literacy development. Method: This tutorial includes a review of the…