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…

As students watched a compressional pulse bounce back and forth on the horizontally suspended Slinky[TM], shown in Fig. 1, we wrote down the formula for the speed of the pulse and promised that later in the course we would derive the formula. The problem is we did not keep our promise in the course. Here is where we are keeping the promise. As…

The Celsius and Kelvin temperature scales, we tell our students, are related. We explain that a change in temperature of 1 degree C corresponds to a change of 1 Kelvin and that atoms and molecules have zero kinetic energy at zero Kelvin, -273 degrees C. In this paper, we will show how students can derive the relationship between the Celsius and…

The technology of podcasting, or creating audio or video files that can be subscribed to over the Internet, has grown in popularity over the past few years. Many educators have already begun realizing the potential of delivering such customized content, but most efforts have focused on lecture-style humanities courses or multimedia arts courses.…

A teaching and learning sequence aimed at introducing upper secondary school students to the interplay between chance and determinism in nonlinear systems is presented. Three experiments concerning nonlinear systems (deterministic chaos, self-organization and fractals) and one experiment concerning linear systems are introduced. Thirty upper…

We analyse the implementation of a new New Zealand physics curriculum from a socio-cultural perspective. We explore the development of the curriculum document and examine the obstacles to its implementation. Change was compromised by the lack of any intersubjective linkage between teachers and the curriculum designers. The teachers' own community…

Objects in motion attract children. The following activity helps children explore the motion of bodies riding in a vehicle and safely demonstrates the answer to their questions, "Why do I need a seatbelt?" Children will enjoy moving the cup around, even if all they "see" is a cup rather than understanding it represents a car. They will understand…

Quantitative analysis of carbohydrates is a fundamental analytical tool used in many aspects of biology and chemistry. We have adapted a technique developed by Mathews et al. using an inexpensive scanner and open-source image analysis software to quantify amylase activity using both the breakdown of starch and the appearance of glucose. Breakdown…

This article describes a thought-provoking lesson that compares various arrangements of lamp-battery circuits to help students develop the motivation and competence to participate in scientific discourse for knowledge construction. Through experimentation and discourse, students explore concepts about voltage, current, resistance, and Ohm's law.…

Two experiments are described in which students explore phase transitions and critical phenomena by obtaining compression isotherms of phospholipid monolayers using a Langmuir trough. Through relatively simple analysis of their data students gain a better understanding of compression isotherms, the application of the Clapeyron equation, the…

Physics, engineering and technology increasingly play a critical role in many sports, enabling athletes to go the extra proverbial mile and surpass their own limits. However, it is not only the competitive elite who benefit from advances in equipment design; many sports have been made safer and more accessible through science and innovation.…

Two reasons are suggested for studying the degree of conceptual integration in student thinking. The linking of new material to existing knowledge is an important aspect of meaningful learning. It is also argued that conceptual coherence is a characteristic of scientific knowledge and a criterion used in evaluating new theories. Appreciating this…

This article provides an empirical analysis of a single classroom episode in which students reveal difficulties with the concept of proper time in special relativity but slowly make progress in improving their understanding. The theoretical framework used is "coordination class theory," which is an evolving model of concepts and conceptual change.…

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 problem of an oscillating magnetic dipole at the centre of a lossless dielectric spherical shell is considered. For simplicity, the free-space wavelength is taken to be much greater than the shell radii, but the relative permittivity [epsilon][subscript r] of the shell is taken as much greater than unity, so the wavelength in the shell could…