The small angle approximation sin[theta approximately theta] is central to all treatments of the simple pendulum as a harmonic oscillator and is typically asserted as a result that follows from calculus. Here, however, we show that the geometry of the pendulum "itself" offers a route to understanding the origin of the small angle…

The orthogonality of eigenfunctions in problems of unsteady heat conduction in an infinite slab with symmetric and nonsymmetric convective boundary conditions are demonstrated by performing actual integration of the products of the derived forms of eigenfunctions and by implementing the corresponding eigenvalue conditions. The analysis also…

The concepts of electronegativity and classical electronegativity scales are briefly described. Electronegativity scales have practical quantitative applications, and this work suggests activities which can assist students select the scales for use in chemistry applications. It provided examples of the use of an appropriate electronegativity…

To explain experiences of riders of rotating systems, such as a merry-go-round, some physics educators have employed the concept of 'centrifugal force.' However, others have suggested that the term is unnecessary in explaining experiences in rotating systems and that it encourages misconceptions surrounding circular motion dynamics. Owing to this…

A needfor enhanced access to formal electrochemistry traininghas led to the launch of several standalone workshops, including theCyclic Voltammetry Boot Camp. In this Article, we describe the historyof Cyclic Voltammetry Boot Camp, its scope and mission, the structureand content covered during the three-day workshop, and the impactthe workshop has…

While Bhutanese biology teachers are expected to possess a rich understanding of scientific models, little is known about their perceptions of scientific models. This study, thus, examined Bhutanese biology teachers' perceptions of scientific models. The study recruited one hundred and eleven (N = 111) biology teachers using a total population…

Scientific thinking and critical thinking are two intellectual processes that are considered keys in the basic and comprehensive education of citizens. For this reason, their development is also contemplated as among the main objectives of science education. However, in the literature about the two types of thinking in the context of science…

Scientists and science educators have argued that learners (students, preservice teachers, and inservice teachers) should understand knowledge construction in science, in addition to figuring out disciplinary core ideas. Given this goal, some science education scholars created a construct called the "Nature of Science" (NOS), which aims…

Eigentheory concepts are central in mathematics and physics; they serve multiple functions, such as symbolizing physical phenomena and facilitating mathematical computations. Words and meanings associated with eigentheory develop and vary over time, as do their associated symbols. In this study, we investigate how "eigen" develops over…

The poem Ode on the Odyssey of lipoproteins describes the structure, functions and metabolism of lipoproteins namely Chylomicrons, LDL, VLDL and HDL. This poem is a triolet with eight lines in each stanza. Odyssey is the travel experience of an adventurous journey when someone travels far and wide. This poem describes the transport adventures of…

Recent studies have proposed that the automatic activation of naïve concepts, which persist even after learning scientific concepts, must be inhibited to successfully output scientific concepts. This model assumes that individual differences in inhibitory control (IC) within executive functions represent differences in conceptual change. However,…

The Uncertainty Principle is usually discussed twice in a Quantum Chemistry course. The first discussion is a "pre-wave function" explanation that occurs before students know about wave functions, but "do" know the de Broglie hypothesis. The second description of the Uncertainty Principle is "post-wave function",…

Despite the abundance of literature discussing Kuhnian views, it is rare to find studies that comprehensively compare the arguments of Kuhnian supporters and skeptics. This study aims to fill the gap by providing a comparative review and synthesis between the two groups of views using the systematic literature review (SLR) analysis technique. The…

Bounded by the statements of Feynman and Galileo, I describe certain tricks that can be useful for the teaching of physics. In particular, I describe the calculation of the center of mass (centroid) of an arc of circumference and a circular sector. For this purpose, I also use Pappus's theorems. An Appendix is available with Archimedes' method to…

The aim of this study was to verify the concurrent validity and the biological error-free reliability of a novel low-cost commercial encoder (Ergonauta I). Validity protocol involved comparisons with a custom system and other encoder commercially available (Vitruve). Reliability protocols involved interdevices and interunit comparisons. No…