The work describes an analogy-based small oscillations analysis of a standard static equilibrium lab problem. In addition to force analysis, a potential energy function for the system is developed, and by drawing out mathematical similarities to the simple harmonic oscillator, we are able to describe (and experimentally verify) the period of small…

Using the simplest possible quantum system--the qubit--the fundamental concepts of quantum physics can be introduced. This highlights the common features of many different physical systems, and provides a unifying framework when teaching quantum physics at the high school or introductory level. In a previous "TPT" article and in a…

The process of the mathematization of physical situations through differential calculus requires an understanding of the justification for and the meaning of the differential in the context of physics. In this work, four different conceptions about the differential in physics are identified and assessed according to their utility for the…

This paper deals with the nature and the level of difficulty of teaching and learning physics in the first year of undergraduate engineering schools in France. Our case study is based on a survey regarding a classic and basic question in applied physics, and which was conducted with a group of second-year students in a post-baccalaureate 1…

When studying wave interference, one often wants to know the difference in path length for two waves arriving at a common point P but coming from adjacent sources. For example, in many contexts interference maxima occur where this path-length difference is an integer multiple of the wavelength. The standard approximation for the path-length…

Proposes a method for solving a diffusion equation by a random-walk approximation technique which utilizes the complex intergration method of steepest descent. (SL)

Argues that high school teachers have given up on trying to teach equations and mathematics to poorly prepared, inner-city, or very average students. Describes a mathematical problem-solving physics course for all types of students from average to honors. (CCM)

Force diagrams involving angular velocity, linear velocity, centripetal force, work, and kinetic energy are given with related equations of motion expressed in polar coordinates. The computer is used to solve differential equations, thus reducing the mathematical requirements of the students. An experiment is conducted using an air table to check…

This paper analyzes what is involved in patterning part of an introduction to politics along the lines of physical sciences, and it presents contents and results of a course in which the author did this. (Author/ND)

Euler's theorem for homogenous functions is useful when developing thermodynamic distinction between extensive and intensive variables of state and when deriving the Gibbs-Duhem relation. Discusses Euler's theorem and thermodynamic applications. Includes six-step instructional strategy for introducing the material to students. (Author/JN)

Describes the construction of models of two-dimensional surfaces with negative curvature that are used to illustrate differences in the triangle sum rule for the various Big Bang Theories of the universe. (JRH)

Presents methods for estimating running speed, length of a broad-jump, height of a pole vault, and time to run up a flight of steps as examples of elementary numerical mechanics. (SL)

Presents a method of reviewing the properties of exponents for students enrolled in a liberal arts physics course. (SL)