A number of well-known hydrostatics problems dealing with Archimedes' principle concern a loaded boat floating in a pool. Examples of this sort of problem include: 1. (a) If a stone is thrown overboard from a boat floating in a pool, does the water level in the pool rise, fall, or remain unchanged? (b) If a hole is made in the bottom of the boat…

A historical discussion of the theories which deal with the formation of real images in mirrors and lenses is presented in this paper. Speculations on mirrors appeared as early as Plato. Euclid's, Hero's and Ptolemy's approaches to visual rays are described. The theory on burning mirrors starts with Diocles and later was continued by the Arabs. Al…

The Laplace equation has applications in several fields of physics, and problems involving this equation serve as paradigms for boundary value problems. In the case of the Laplace equation in a disc there is a well-known explicit formula for the solution: Poisson's integral. We show how one can derive this formula, and in addition two equivalent…

Discusses student difficulties in problem solving. Presents a structured approach to one-dimensional constant acceleration problems. Provides researcher's experience including an example problem, advantages of the approach, and student responses with two illustrations of problem solving. (YP)

Provides six problems to help students understand new concepts of force using situations they already understand concerning velocity, acceleration, and momentum. (MVL)

Situations describing Einstein's Equivalence Principle phrased in prerelativistic Newtonian concepts are presented. (KR)

The authors investigate how an integrative approach can be applied to teaching of different disciplines at school. Interdisciplinarity can be defined as a process of answering a question, solving a problem or addressing a topic that is too broad to be dealt with by a single discipline. In addition to an integrated understanding of the topic, the…

In this article, we provide a discussion on our revision method (termed "prescriptive tutoring") aimed at revealing students' misconceptions and misunderstandings by getting them to solve physics problems with an anonymous partner via the computer. It is currently being implemented and evaluated in a public secondary school in Singapore,…

These proceedings contain the papers of the 18th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2021), held virtually, due to an exceptional situation caused by the COVID-19 pandemic, from October 13-15, 2021, and organized by the International Association for Development of the Information Society…

Describes the activities of the Physics Teachers Action Research Group in which college physics teachers work together in planning, revising, and evaluating student projects that foster greater conceptual understanding and address student misconceptions. Presents the details of a project in which students were asked to build an accelerometer. (JRH)

Two ways to visually enhance the concept of space curvature are described. Viewing space curvature as a meterstick contraction and the heavy banana "paradox" are discussed. The meterstick contraction is mathematically explained. (KR)

Energy is a critical concept that is used in analyzing physical phenomena and is often an essential starting point in physics problem-solving. It is a global concept that appears throughout the physics curriculum in mechanics, thermodynamics, electromagnetism, and modern physics. Energy is also at the heart of descriptions of processes in biology,…

The circle of Apollonius is named after the ancient geometrician Apollonius of Perga. This beautiful geometric construct can be helpful when solving some general problems of geometry and mathematical physics, optics, and electricity. Here we discuss two of its applications: localizing an object in space and calculating electric fields. First, we…

We solve exactly the problem of calculating the electromagnetic fields produced by a finite wire with a constant current, by using two methods: retarded potentials and Jefimenko's formalism. One result in this particular case is that the usual Biot-Savart law of magnetostatics gives the correct magnetic field of the problem. We also show…

The purpose of this study was to investigate how modeling-based instruction combined with an interactive-engagement teaching approach promotes students' problem solving abilities. I focused on students in a calculus-based introductory physics course, based on the matter and interactions curriculum of Chabay & Sherwood (2002) at a large state…