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The Area, Centroid and Volume of Revolution of the Koch Curve
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McCartney, Mark – International Journal of Mathematical Education in Science and Technology, 2021
An elementary method to calculate the area, centroid and volume of rotation of the Koch curve is presented. Classroom extensions are provided to allow students to investigate the method used.
Descriptors: Mathematics Instruction, Teaching Methods, Geometry, Computation
The Answer Is Probably E, p or v2
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McCartney, Mark – International Journal of Mathematical Education in Science and Technology, 2017
A number of probabilistic experiments are described to estimate e, p and v2, with results from computer simulations being used to investigate convergence. A number of possible classroom exercises and extensions are presented.
Descriptors: Probability, Mathematics Instruction, Computer Simulation, Teaching Methods