Solar limb darkening is a prominent feature seen in white images of the Sun: the brightness of the solar disk is greatest at the solar center and decreases radially outward towards the limb. White light images can be used to examine and even model limb darkening; however, the limb-darkening effect is, in fact, wavelength dependent. Limb darkening…

The goal of the study is to create Visual Basic and MATHCAD apps to create programs that show the core force using physical forces as an example. The research subjects are high school teachers and students; the inherent context is high school STEM courses. Programs for computer visualization have been developed, and theoretical investigations have…

In the April 2018 issue of "TPT," Joseph Amato presented an analysis of intercontinental ballistic missile (ICBM) trajectories as applied to recent test launches from North Korea. Using properties of their elliptical paths, he derived relationships between launch velocity, elevation angle, and maximum range. However, this approach cannot…

The ancient Greek astronomers devised ingenious methods for measuring the size and distances of the Earth, Moon and Sun. The concepts were beautifully simple and although in most cases could only yield approximate results, they have the advantage that they can be understood by anyone with a basic mathematical background. The emergence of…

Many introductory astronomy courses include concepts related to basic stellar properties. In general, these are concepts that originate from the human perception of starlight. This observational aspect is not easy to incorporate in the classroom. We explore if these concepts could be developed using the built-in data in a planetarium software.…

This paper presents the results of a confirmatory factor analysis on two self-efficacy scales designed to probe the self-efficacy of college-level introductory astronomy (Astro-101) students (n ¼ 15181) from 22 institutions across the United States of America and Canada. The students undertook a course based on similar curriculum materials, which…

The damped harmonic oscillator physics problem is a standard oscillation problem in calculus physics for pre-engineering students in a community college. The use of alternative linear algebra eigenvalue stability method is consistent with the upper engineering courses using control theory. The external force and friction damping would become the…

When our school implemented AP Physics 1, I wanted to include a project that would extend over time, use more advanced data analysis, and teach students about handling experimental error. Using a donated 5-inch Newtonian telescope and an entry-level digital camera, the students gathered data from digital images of the four Galilean moons, Io,…

Numerical simulations are playing an increasingly important role in modern science. In this work it is suggested to use a numerical study of the famous perihelion motion of the planet Mercury (one of the prime observables supporting Einsteins general relativity) as a test case to teach numerical simulations to high school students. The paper…

Video analysis with a 30 Hz frame rate is the standard tool in physics education. The development of affordable high-speed-cameras has extended the capabilities of the tool for much smaller time scales to the 1 ms range, using frame rates of typically up to 1000 frames s[superscript -1], allowing us to study transient physics phenomena happening…

Various studies have noted current shortcomings in the teaching and learning of science in schools, and the results of large-scale tests show that despite heavy investment in education, Brazilians' understanding of science test scores typically fall short of what could be if students had a consistent, high-quality basic education. This article…

The paper presents an interactive module created through the Wolfram Demonstrations Project that visualizes the Zeeman effect for the small magnetic field strengths present in the interstellar medium. The paper provides an overview of spectral lines and a few examples of strong and weak Zeeman splitting before discussing the module in depth.…

Simulations of physical systems are widely available online, with no cost, and are ready to be used in our classrooms. Such simulations offer an accessible tool that can be used for a range of interactive learning activities. The Jovian Moons Apple allows the user to track the position of Jupiter's four Galilean moons with a variety of…

This paper presents the qualitative analysis of data from a 20-year project analyzing the knowledge and attitudes toward science of undergraduate students enrolled in introductory astronomy courses. The data were collected from nearly 10,000 students between 1989 and 2009 via a written survey that included four open-ended questions, inquiring into…

This study explored young children's understandings of targeted lunar concepts, including when the moon can be observed, observable lunar phase shapes, predictable lunar patterns, and the cause of lunar phases. Twenty-one children (ages 7-9 years) from a multi-aged, self-contained classroom participated in this study. The instructional…