The question of the sources of electric and magnetic fields and their causes has been discussed extensively in the literature over the last decades. In this article, we approach this problem from the unified treatment of electromagnetic fields emphasizing the role of their sources in accordance with the cause-effect relationships. First, we…

The Young-Laplace (Y-L) equation relates the pressure difference across the interface of two fluids (such as air and water) to the curvature of the interface. The pressure rises on crossing a convex interface such as a rain drop and falls on crossing a concave interface such as the meniscus of water in a glass capillary. The relation between…

The conventional approach to teaching blackbody radiation in introductory modern physics courses relies on an oversimplified explanation of Wien's displacement law, which does not uphold students' conceptual understanding of Planck's law and can lead to well-known misconceptions. Thus, there is a need to clarify the pedagogical role of this…

The law of conservation of momentum is a fundamental law of nature. It states that the momentum of an isolated system is conserved. In high school or introductory-level physics courses, for simplicity, teachers and textbooks always use collisions in one dimension as the examples to introduce the concept of conservation of momentum. To solve simple…

The net force and net torque exerted by a uniform magnetic field on a rigid current-carrying loop are discussed in all introductory physics textbooks. A notable omission, however, is the discussion of the equilibrium of a deformable current-carrying loop in a uniform magnetic field. In the article, we present such an analysis for the simplest case…

During their first physics courses, most students struggle with mathematical concepts that are used but not fully understood, for example, the appearance of infinity in introductory physics exercises. In many cases, these concepts are critical to understanding the underlying physical phenomenon. Typically, most books do not place much emphasis on…

One of the central tenets of Universal Design for Learning (UDL) is the presentation of concepts using multiple modalities. As new technologies develop, the variety of available representations increases as well. In this paper, we explore how 3D-printed models can provide another avenue of approach to physics concepts. Students with low vision may…

Electromagnetism (E&M) is often challenging for students enrolled in introductory college-level physics courses. Compared to mechanics, the mathematics of E&M is more sophisticated and the representations are more abstract. Furthermore, students may lack productive intuitions they had with force and motion. In this article, we explore the…

An introductory physics course may be run like a video game, where students have an almost unlimited number of attempts to demonstrate their competencies through a sequence of zero-penalty assessments until the end of a semester. Each checkpoint is conducted as a 10-minute, one-on-one oral interview with the instructor, and students are not…

We add to a growing literature suggesting that demographic grade gaps should be attributed to biases embedded in the courses themselves. Changes in the structure of two different introductory physics classes were made while leaving the topics covered and the level of coverage unchanged. First, a class where conceptual issues were studied before…

Students in the physical sciences--physics and chemistry--often take multiple-choice exams for introductory courses. Some students will write a lot on their exams, while others write very little. Does the student doing more scratch work on their exam perform better than one who does not write as much? We analyzed multiple-choice exams in physics…

As introductory chemistry courses expose students to many distinctive properties of matter, it is helpful to systematically evaluate and relate different measures such as mass, moles, and molarity, or specific heat capacity and heat capacity. Intensive and extensive designations help distinguish intrinsic and component properties of a system and…

Each fall the Statistical Research Center (SRC) conducts its Survey of Enrollments and Degrees. The survey is sent to all degree-granting physics and astronomy departments in the United States and Puerto Rico. Departments are asked to provide information concerning the number of students they currently have enrolled and the number of degrees they…

Stars form from large clouds of gas and dust that contract under their own gravity. The birth of a star occurs when a fusion reaction of hydrogen into helium is ignited in its core. The key variable that determines the formation of a star is mass. If the mass of the contracting cloud is below a certain minimum value, instead of a star, a substelar…

[This paper is part of the Focused Collection on Curriculum Development: Theory into Design.] This paper proposes the rethinking of the division of labor between physics education research curriculum developers and classroom instructors. Historically, both curriculum developers and instructors have taken responsibility for fostering students'…