The COVID-19 pandemic resulted in educators making a sudden shift to a largely online modality in teaching. For educators used to studio teaching, this change would require them to adapt their teaching approaches online and adopt new teaching approaches. Using the online videoconferencing tool (i.e., Zoom) for online interviews in real-time, a…

This paper examines a controversial element of Kant's pedagogy: his 'moral catechism'. The few commentators who have examined it have focused on its content; this paper examines its method. I argue that Kant means for it to precede a Socratic approach precisely to steer the student away from adopting dogmatic doubt, which Kant thinks is a possible…

Statistical methods are increasingly being used to integrate findings from the ever-expanding universe of empirical research. Meta-analysis encompasses various techniques for synthesizing summary statistics, and mega-analysis pools raw data across studies. This paper offers an introduction to meta-analysis and mega-analysis that complements the…

An individual harmonic wave (i.e., having a single frequency and wavelength over all time and space) traveling in a loss-free medium has a single constant speed, which is equal to the magnitude of the phase velocity of the wave. However, when a set of different harmonic waves are traveling in the same direction, they interfere to form wave…

Courses: Interpersonal Communication, Communication Theory. Objectives: Students improve their understanding of relational framing theory, consider features of interactions that influence message interpretation, and reflect on ways framing impacts their interactions.

Motor learning experts suggest that it is best to begin by teaching the whole skill rather than break it down into its component parts. Yet, most skill instruction is approached using a list of part-skill cues as are commonly taught in PETE programs. This article examines how to teach tennis skills using whole-skill cueing in a method developed…

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…

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 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…

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,…

In this article, the author describes an occurrence of the golden ratio in the context of regular hexagons. The method described can be used to construct the golden ratio. This is one of many ways one can construct the golden ratio.