This paper addresses the question of how to develop prospective teachers' pedagogical content knowledge (PCK) in science teacher education. The main focus is on the knowledge transformation process and on the cognitive strategies used to shift prospective teachers' explanations within the domain of modelling thermal physical phenomena. This study investigates the development of PCK within a group of 28 pre-service physics teachers during the first semester of their two-year post-graduate teacher education program. It focuses on the central issue of the relationships between observable phenomena, like macroscopic thermal properties of matter and their interpretation and /or explanation in terms of corpuscular characteristics and/or thermodynamics theory. The strategy is based on the consideration that knowledge transformation is not a one-way process from subject matter knowledge to pedagogical content knowledge, as literature suggests, but a bidirectional process involving deepening of subject matter knowledge and increasing awareness of pedagogical issues.
Three methods to analyse longitudinal wave propagation in metallic rods are discussed. Two of these methods also prove to be useful for measuring the sound propagation speed. The experimental results, as well as some interpretative models built in the context of a workshop on mechanical waves at the Graduate School for Pre-Service Physics Teacher Education, Palermo University, are described. Some considerations about observed modifications in trainee teachers' attitudes to utilizing physics experiments to build pedagogical activities are discussed.
A Monte Carlo simulation of a simple two-dimensional model of a water-like system is presented. A dilute solution of an apolar molecule in the same fluid is also described. The results of the two simulations will be compared in order to evidence the characteristics features of hydration around the solute particle. The objective of the described software is principally pedagogical in order to give students some insights concerning the structure of water and its role as a solvent.
The Boltzmann factor is the basis of a huge amount of thermodynamic and statistical physics, both classical and quantum. It governs the behaviour of all systems in nature that are exchanging energy with their environment. To understand why the expression has this specific form involves a deep mathematical analysis, whose flow of logic is hard to see and is not at the level of high school or college students' preparation. We here present some experiments and simulations aimed at directly deriving its mathematical expression and illustrating the fundamental concepts on which it is grounded. Experiments use easily available apparatuses, and simulations are developed in the Net-Logo environment that, besides having a user-friendly interface, allows an easy interaction with the algorithm. The approach supplies pedagogical support for the introduction of the Boltzmann factor at the undergraduate level to students without a background in statistical mechanics.
A simple two-dimensional model of an ideal gas is described in order to study the time evolution of speed distribution in the framework of Newtonian mechanics. The results of a computer simulation of a system of 16 particles are shown. The approach to equilibrium is followed by observing changes in the experimentally obtained values of Boltzmann's H. An example of a possible way to use this simulation program in an introductory physics course is also given.
This paper describes an undergraduate experiment that yields the velocity distribution of thermionic electrons by analyzing the I-V characteristics of diodes and triodes. The experiment allows students to focus on the distribution function more than on difficulties arising from the complexity of thermionic emission. By using a simple model, the velocity distribution of thermionic electrons emitted by the vacuum tube cathode can be described by Maxwell’s distribution.
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