The problem of an electrically charged pendulum above a grounded conducting surface is examined using traditional analyses, such as forces, energy, and torque. The system was numerically modelled using a finite difference method and analysed. A number of classroom activities have been suggested.

The purpose of this study was to investigate university students' conceptions of the definite integral in the process of finding the volume of a solid of revolution. The participants were four students enrolled in a university calculus course in Turkey. Data were obtained by task-based interviews, in which the participants had to work on a problem…

For single-slit diffraction and double-slit interference experiments, commercially made slits can be the most expensive parts, especially since the prices of laser pointers have become very low. One option is to use a razor blade to cut slits in either paint or electrical tape on microscope slides. However, this takes practice, and there is some…

Student misconceptions of the double-slit experiment (Fig. 1) are abundant. The most common ones that we observe include: (1) belief that constructive interference requires both pathlengths to be integer multiples of the wavelength ("L[subscript 1] = n[subscript 1][lambda]" and "L[subscript 2] = n[subscript 2][lambda]") rather…

The conical pendulum is a classic introductory physics problem for teaching circular motion--a topic about which students frequently carry alternative conceptions. As teachers provide lessons to untangle these conceptions, it is good to allow students to practice their new knowledge in varied settings. This is one possible experiment that builds…

Discovering concepts through observation, exploration, and constructing scientific explanations of phenomena is best practice in science education. Instead of following lab procedures to verify a known answer or solution, involve students in the work of science. Begin by presenting a phenomenon to engage students in scientific inquiry and uncover…

In the article, we prove 18 inequalities involving inradius, a length of one side and one additional element of a given triangle. 14 of these inequalities are the necessary and sufficient conditions for the existence and uniqueness of such a triangle. All proofs are based on standard methods of calculus and can serve as a good demonstration of the…

In certain domains, people represent some of an individual's properties (e.g., a tiger's ferocity), but not others (e.g., a tiger's being in the zoo), as stemming from the assumed "essence" of the individual's category. How do children identify which properties of an individual are essentialized and which are not? Here, we examine…

Dominion of the scarcity principle as the basis for economic analysis is virtually absolute in teaching the introductory course in economics. This supremacy is neither valid nor desirable. Two compelling alternative foundational concepts for economics are "uncertainty" and "inequality." These alternatives lead to vastly…

Young children often struggle with referential communications because they fail to compare all valid referents. In two studies, we investigated this comparison process. In Study 1, 4-7 year-olds (N = 114) were asked to categorize pairs of objects according to their similarities or differences, and then identified a unique quality of one of the…

The need for social-emotional learning for adults has emerged due to accountability stressors and the COVID-19 pandemic. While many school leaders believe in SEL for adults, major disconnects exist between their understanding and belief in SEL and their plans to implement it. The main problem this research sought to address integrated two ideas in…

The use of analogies is a well-known teaching strategy to bridge unfamiliar and familiar concepts. However, analogies may become ineffective if the familiar concept is not familiar anymore. For example, this may occur when we describe rotational sense as clockwise and counterclockwise, assuming students know how to read a clock with hour and…

A comprehensive laboratory work that allows students to gain hands-on skills in energy-efficient mechanochemistry is described. Standard university curricula are paying very little attention to mechanochemistry, although skills in this discipline are highly demanded among chemistry graduates. In this study, a comprehensive description of…

While visual representations are generally thought to help students learn chemistry, they can pose conceptual challenges. Arrows are a common visual feature used prominently across various visuals, such as energy diagrams. Although energy diagrams are widely used, research on what challenges arise in the context of energy diagrams is limited. To…

The paper presents the concept of self-determination of young people in life on the basis of the thesaurus approach. The primary factor in the self-determination of young people in life is the definition of social subjectivity and individuality. Society and the process of socialization affect the definition of subjectivity, determining its…