According to literature, the classic "paideia" ideal, that is, the ideal of the well-rounded, fully educated, rational human being, has survived to this day, despite many historical and socio-cultural influences that impacted on it through the millennia. In the process, it has to a considerable extent retained its rationalistic bias, but…

The purpose of this article is to present a content map and sequenced learning tasks to teach tennis footwork techniques in a physical education setting.

Creating pleasant musical sounds by vibrating the strings of musical instruments such as guitars and violins is the result of the type of instrument played as well as the mastery of the player. This article explains the physics of vibrating strings caused either by a bow drawn over them or by being plucked, and provides a simple analysis to…

The goal of teaching children to read is not for them to learn a set of discrete decoding skills, it is to have the reader obtain meaning from the words on the printed page, to understand the message which the writer tried to convey when he wrote down the words. The goal is comprehension of the printed word. While children are taught multiple…

This article highlights some of the challenges in explaining simple substituent effects on keto-enol equilibria, particularly to an undergraduate audience. Quantum-chemical calculations were performed to identify the role of intramolecular hydrogen bonding, inductive effects due to electron-withdrawing groups, and cross-conjugation on the…

Basis vectors e[subscript alpha] play a useful role in special and general relativity. In particular they allow an expansion of the vectorial spacetime interval dl along infinitesimal curvilinear coordinate differences dl = e[subscript alpha]d[Xi][superscript alpha]: (thus the definition e[subscript alpha] = dl/d[Xi][superscript alpha]). In this…

Raman spectroscopy has become a popular analytical tool because of its ability to probe nondestructively and provide fingerprint information about materials. The advancements in the field of Raman spectroscopy and the expanding scope of applications warrant the introduction of the topic in the formal education curriculum. The introduction of Raman…

As the size of a nanoparticle is reduced, the fraction of surface atoms increases. It is interesting to note that various chemical and physical properties depend on the fraction of surface atoms. One of the most obvious questions that arise is how could one possibly estimate the fraction of surface atoms in a nanoparticle? Herein, we discuss…

Several new approaches to calculus in the U.S. have been studied recently that are grounded in infinitesimals or differentials rather than limits. These approaches seek to restore to differential notation the direct referential power it had during the first century after calculus was developed. In these approaches, a differential equation like dy…

The rapid growth of inexpensive and easily accessible communicating devices embedded into new or existing physical devices transform them into the intelligent devices that comprise the Internet of Things (IoT). The increasing use of these devices has attracted attention from various sectors, including consumer market, business, industry, health,…

Despite extensive conceptualization of ions as hard spheres in most textbooks, solid-state structures are more accurately modeled as overlapping soft spheres that better reflect the size of the ions. The corresponding soft-sphere ionic radii of alkali and halide ions can be empirically established from the partial molar volume of the ions in…

This account of practice seeks to demystify the entrepreneurship classroom and to provide practical insights into the successful introduction and embedding of a multi-level peer mentoring scheme. Over a 5-year period, peer mentoring has been embedded in an undergraduate enterprise curriculum. This has posed challenges to a number of…

The disproportionate discipline of students of color leads to many negative outcomes. The use of exclusionary school discipline contributes to this problem. This form of discipline has been shown to make students feel socially isolated and to prevent them from making academic progress. The causes of the disproportionate discipline of students of…

In this article we consider two triangles: one inscribed in another. We prove that the area of the central triangle is at least the harmonic mean of the areas of corner triangles. We give two proofs of this theorem. One is based on Rigby inequality and the other is based on the known algebraic inequality, to which we bring a new, geometric, proof.…

X-rays are such an important and familiar part of the electromagnetic spectrum, but is there a way to safely bring x-rays into your lecture? The demo team at the University of California at Berkeley seems to have managed this. They have an x-ray safe box that they use to produce a live x-ray image on a fluorescent screen. In this article, we…