An individual harmonic wave (i.e., having a single frequency and wavelength over all time and space) traveling in a loss-free medium has a single constant speed, which is equal to the magnitude of the phase velocity of the wave. However, when a set of different harmonic waves are traveling in the same direction, they interfere to form wave…

The ideal gas law, "PV = nRT," is one of the simplest physical laws in nature that is introduced to students as early as in high school and first year in college. In this equation, "P" stands for pressure, "V" is the volume, "n" is the amount expressed in mole, "T" is the temperature in Kelvin…

Distance learning in physics is still facing challenges, mainly due to the difficult access to a laboratory for practical work. Practical work is an essential part of the physics classroom because it allows students to interact with authentic physics phenomena and develop their scientific abilities. In this paper, we propose alternative…

This study aims to showcase an experiment for introductory physics students that quantitatively describes the relationship between gas pressure, volume, and temperature. For this purpose, an Arduino Uno Microcontroller and BMP180 pressure sensor are used. The BMP180 can also measure temperature, so another temperature sensor is not needed.…

A simple in-class demonstration of integral Calculus for first-time students is described for straightforward whole number area magnitudes, for ease of understanding. Following the Second Fundamental Theorem of the Calculus, macroscopic differences in ordinal values of several integrals, [delta]"F"(x), are compared to the regions of area…

Many students who enroll in a first course in linear algebra major in STEM disciplines other than mathematics. Teachers who serve such students may find it difficult to provide authentic problems from these broader areas that ignite students' interest in linear algebra. In this paper, we highlight an interdisciplinary learning activity that…

Using a joystick module, we followed the movement of a chaotic magnetic pendulum. The pendulum bar was attached to a joystick that served as a pivot point and biaxial angular motion sensor. Using an Arduino board, we could follow the position as a function of time along both the "x" and "y"-axis and draw a graph showing the…

This manuscript is meant to support secondary school teachers in their constant effort to find novel ways to engage students. Adolescents seem particularly stimulated by time-travelling scenarios, like the famous "wormhole billiard ball paradox" proposed by J. Polchinski in 1990, which are usually solved through closed time-like curves…

It's not surprising that rainbows have received a great deal of attention: in textbooks, in magazines, and on the web. They are, after all, beautiful, fascinating, occasionally awe-inspiring, even a little mysterious. They are an almost perfect blend of natural beauty and simple physics. Has everything that can be said about rainbows already been…

The action of hammering a nail into wood is examined in terms of the force, momentum and energy required. Some unexpected experimental results are also presented.

This paper is a continuation of an earlier discussion in this journal about adhering to principles of mathematics while presenting function graphs in physics. As in the previous paper, the importance of the vertical line test was examined, this paper delves more in-depth, and it pinpoints a need for presenting graphs with a continuous rate of…

In this paper, we introduce and discuss a construct called "graphical forms," an extension of Sherin's symbolic forms. In its original conceptualization, symbolic forms characterize the ideas students associate with patterns in a mathematical expression. To expand symbolic forms beyond only characterizing mathematical equations, we use…

Two bodies initially at different temperatures gathered into an isolated container exchange heat and reach an equilibrium state with a common final temperature. During the process, the system is out of equilibrium and its intermediate temperature is not well defined. By conceiving a quasi-static process with infinitesimal steps from the initial to…

A significant goal when teaching at the secondary education level is to present the generality of the procedures that are being used to describe a wide range of different physical phenomena. However, this approach is abandoned by physics instructors in many cases since the general mathematical background needed to present the above generality is…

Sound educational policy recommendations require valid estimates of causal effects, but observational studies in physics education research sometimes have loosely specified causal hypotheses. The connections between the observational data and the explicit or implicit causal conclusions are sometimes misstated. The link between the causal…