Taylor series play a ubiquitous role in calculus courses, and their applications as approximants to functions are widely taught and used everywhere. However, it is not common to present the students with other types of approximations besides Taylor polynomials. These notes show that polynomials construed to satisfy certain boundary conditions at…

Among existing infrastructures to disseminate innovative teaching methods and to build collaborative networks, the authors situate a community of practice (CoP). They explain what a CoP is and compare it with teaching-focused economics journals and conferences, and other infrastructures such as institutional teaching centers. Since 2016, the…

We discuss how research on student difficulties was used as a guide to develop, validate, and evaluate a Quantum Interactive Learning Tutorial (QuILT) to help students learn how to determine the completely symmetric bosonic or completely antisymmetric fermionic wave function and be able to compare and contrast them from the case when the particles…

Data visualization enables users to transform data into visually compelling graphics that tell a rich story for effective communication (Vora, 2019). Data visualization's visual and artistic nature has also attracted artists and educators, leading them to explore its application in artistic creation and education (e.g., Bertling et al., 2021; Dean…

Human-driven carbon emissions have resulted in increased levels of dissolved carbon dioxide in the Earth's oceans. This dissolved carbon dioxide reacts with water to form carbonic acid, which impacts ocean acidity as well as the solubility of carbonate-containing compounds, with far-reaching impacts on marine ecosystems and the human communities…

To present the difference in oxidizing strength in concentrated and dilute nitric acid reacting with copper, a simple, facile demonstration of these reactions is designed using a waste plastic bottle, plastic droppers, and syringes, which are costless and easily assembled. This new version can be used to demonstrate the difference in oxidizing…

The coefficient of restitution (COR) for a collision is usually a number between 0 and 1 depending on whether the collision is completely inelastic, or perfectly elastic or something in between. That is the usual situation for colliding spheres or a ball dropped on a horizontal surface. A different situation arises when a bat collides with a ball.…

The article acknowledges the limits of the categories of similarity and difference in undergraduate comparative religion courses. To challenge these limitations, including the potential for dualistic or "us/them" thinking, several pedagogical attempts to increase relationality in Christian-Muslim courses are explored. Relational methods…

Many approaches within subject didactics have in common that they highlight the importance of perspective taking, precisely describe the benefits of this skill and develop didactical scenarios in which this skill is crucial. Nevertheless, there is a diagnosed lack of a differentiated didactical model on how to teach perspective taking step by…

Examining the still underexplored elements in educational theorist Paulo Freire's work, this essay begins from his claim that problem-posing pedagogy works as a "kind of psychoanalysis." Situating Freire between the critical philosophical and psychoanalytic traditions, Alex Armonda offers a new reading of the problem-posing dialectic,…

This theoretical perspective sets out a theoretical foundation for the use of classical character archetypes in character development methodologies. It covers four reimagined classical archetypes: "citizen" ("polites"), one who plays socially responsible roles, "egoist" ("idiôtes"), one who plays prudent and…

The impact force and duration when one billiard ball collides head-on with another is estimated by assuming that the balls are connected by a spring. The results are compared with a measurement when a billiard ball collides with a heavy, rigid surface.

Recently, Lima lamented on the 'time-consuming and tiresome' pedagogical nature of repeated integration by parts, throwing down the challenge of providing a pencil-and-paper solution to a related problem in a few seconds. Lima put forth a simple formula as an alternative. In this work, I offer a response to Lima's challenge and his formula.…

In today's globally interconnected society, the scope of musics from diverse cultural traditions has grown to embrace many different styles of music, including original/traditional versions and transformed versions (e.g., Western arrangements for ensemble versions of culturally diverse musics and contemporary folk music). To properly educate…

This article focuses on recent changes in Rhodes College's Foundations in the Liberal Arts curriculum that were motivated by a desire to help students become competent and engaged debaters of meaning and value in the trying times of the 21st century. I focus on how my own two foundational liberal arts classes--"The Bible* and…