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Heller, Joan I. – National Center for Education Evaluation and Regional Assistance, 2012
This study evaluated an approach to professional development for middle school science teachers by closely examining one grade 8 course that embodies that approach. Using a cluster-randomized experimental design, the study tested the effectiveness of the Making Sense of SCIENCE[TM] professional development course on force and motion (Daehler,…
Descriptors: Faculty Development, Science Instruction, Physics, Motion
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Osler, T. J.; Chandrupatla, T. R. – International Journal of Mathematical Education in Science & Technology, 2006
The analysis of tautochrone problems involves the solution of integral equations. The paper shows how a reasonable assumption, based on experience with simple harmonic motion, allows one to greatly simplify such problems. Proposed solutions involve only mathematics available to students from first year calculus.
Descriptors: Motion, Calculus, Physics, Equations (Mathematics)
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Gauthier, N. – International Journal of Mathematical Education in Science and Technology, 2005
The equation of motion for a mass that moves under the influence of a central, inverse-square force is formulated and solved as a problem in complex variables. To find the solution, the constancy of angular momentum is first established using complex variables. Next, the complex position coordinate and complex velocity of the particle are assumed…
Descriptors: Motion, Scientific Concepts, Kinetics, Mechanics (Physics)