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Hoffman, Dale T. – Physics Teacher, 1991
Discusses a misconception about the cycloid that asserts the final point on the path of shortest time in the "Brachistochrone" problem is at the lowest point on the cycloid. Uses a BASIC program for Newton's method to determine the correct least-time cycloid. (MDH)
Descriptors: High Schools, Mathematical Formulas, Mathematical Models, Misconceptions
Peer reviewed Peer reviewed
Chenery, Gordon – Science Teacher, 1991
Uses chaos theory to investigate the nonlinear phenomenon of population growth fluctuation. Illustrates the use of computers and computer programs to make calculations in a nonlinear difference equation system. (MDH)
Descriptors: Chaos Theory, Computation, Computer Assisted Instruction, Computer Uses in Education
Peer reviewed Peer reviewed
Nemirovsky, Ricardo; Tinker, Robert – Journal of Computers in Mathematics and Science Teaching, 1993
Describes software, hardware, and devices that were designed to provide students with an environment to experiment with basic ideas of mechanics, including nonlinear dynamics. Examines the behavior of a Lorenzian water wheel by comparing experimental data with theoretical results obtained from computer-based sensors. (MDH)
Descriptors: Chaos Theory, Computer Assisted Instruction, Computer Simulation, Computer Software