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…

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…

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…

Computational thinking (CT) assessment is crucial for testing the effectiveness of CT skills development. However, the exploration of CT assessment in the context of text-based programming is in its initial stages. The intrinsic relationship between the core skills of text-based programming and the core elements of CT isn't analyzed in depth in…

The Homeostasis Concept Inventory (HCI) is a validated instrument for measuring students' knowledge of homeostasis. It is comprised of 20 multiple-choice questions covering key components of the previously validated Homeostasis Conceptual Framework (HCF). In this paper, we present the first multi-institutional study of the impact of physiology…

The subject of pharmaceutical research has traditionally focused on drugs with systemic effects. However, contemporary approaches aspire to achieve targeted drug delivery, with the aim of combatting infections with a precise immune response. Active substances are encapsulated in nanoparticles, transported through the body, and selectively released…

Entropy and the second law of thermodynamics have long been identified as difficult concepts to teach in the physical chemistry curriculum. Their highly abstract nature, mathematical complexity and emergent nature underscore the necessity to better link classical thermodynamics and statistical thermodynamics. The objectives of this systematic…

In the context of physics education, it is imperative that educators prioritize the development of students' problem-solving abilities. Given the interdisciplinary nature of physics and its relevance to everyday life, students must possess robust problem-solving skills. However, conventional and uninspiring learning approaches have been shown to…

Difficulties in understanding physics concepts are often experienced by students such as in the material of regular uniform motion. This study aims to describe the mental models of first-year secondary school students on regular straight-line motion. This research utilized a case study method of 167 students at the secondary level with an average…