It is beneficial for quantum mechanics students to have a unified understanding of eigentheory concepts, so they can recognize the shared structure of mathematized phenomena from the different quantum mechanical systems of spin, energy, or position and recognize those as instantiations of the same overarching concept. Quantum mechanics instructors…

Involving students in laboratory and inquiry-based activities can help them understand the concepts of physics. However the learning process should not only focus on the concepts. Moreover, the advantages of using virtual or physical labs are still under examination. The purpose of this study is to analyse which of the two modes (virtual or…

A classical mechanical structure with an internal degree of freedom is shown to reflect off a potential well. Such behavior is impossible for point-like or rigid classical particles. This numerical study provides insight for students studying internal energy and degrees of freedom.

Textbooks play a fundamental role in teaching and learning in school science classrooms. In this paper, we investigate the presentation of the nature of the electromagnetic field in a dozen of the world's most popular introductory university physics textbooks. We analyze, from an epistemologically based teaching approach, the didactic treatment of…

We present an analysis of students' thinking skills as evidenced by free-response exam problems during the COVID-19 pandemic. We compare two inquiry-based, laboratory-based classical mechanics courses, one taught online and one taught in person during the pandemic, and two inquiry-based, laboratory-based electricity and magnetism courses, one…

An atlatl or spearthrower is perhaps humanity's oldest technology for accelerating projectiles. The dynamics prior to launch of the dart projectile have been much discussed in the literature. In this article we present a simple new model of launch dynamics and show that dart flex is not an important factor in determining launch speed, but it…

Vector fields are a highly abstract physical concept that is often taught using visualizations. Although vector representations are particularly suitable for visualizing quantitative data, they are often confusing, especially when describing real fields such as magnetic and electric fields, as the vector arrows can overlap. The present study…

Resistor--capacitor (RC) circuit labs help students, but most courses don't include them because of complications and cost. This work presents an easy and inexpensive Arduino-based lab on the charge and energy transfer between two capacitors with different values of the initial electric charge when they are connected through a resistor. Capacitors…

The Conceptual Survey of Electricity and Magnetism (CSEM) is a widely used multiple-choice instrument measuring a student's conceptual understanding of electricity and magnetism. This study applied modified module analysis (MMA) and modified module analysis-partial (MMA-P), network analytic methods that identify groups of correlated responses, to…

Students are well aware that when an electric current flows through a light bulb, it glows. As their grade increases, they have understood that electric current flows because electric charges move. Since the transfer of electric charges is not visible, students have many cognitive difficulties in understanding this process, and teaching materials…

This paper starts with an introduction to the concept of momentum current. It is followed by a discussion of its strength and density with the aid of several analogies made between momentum current and electric current. Based on the novel concepts of thermal charge and its quantity (entropy), the analogies are extended to entropy current. The…

In an effort to examine students' understanding about the structure of boundary conditions in upper-division courses, think-aloud interviews were conducted in the context of both quantum mechanics and electricity and magnetism. In the quantum mechanics task, students were presented with a standard potential step scenario. In the electricity and…

The role of work and mechanical energy in classical relativity has been a subject of renewed interest in this publication. Here we present a problem that illustrates the relationship between impulse and kinetic energy for a rocket-powered object that can also change its gravitational potential energy. The same introductory physics principles lead…

When deriving the equation describing the transverse motion of a one-dimensional vibrating elastic string, introductory physics textbooks often assume constant tension and/or small amplitude vibrations. However, these simplifying assumptions are not only unnecessary, but they overlook the elastic nature of the tension and yield an inconsistent…

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.…