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Jones, Dustin L. – International Journal of Mathematical Education in Science and Technology, 2011
This article was inspired by a set of 12 cylindrical cups, which are volumetrically indexed; that is to say, the volume of cup "n" is equal to "n" times the volume of cup 1. Various sets of volumetrically indexed cylindrical cups are explored. I demonstrate how this children's toy is ripe for mathematical investigation, with connections to…
Descriptors: Calculus, Mathematics Instruction, Investigations, Geometry
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Srinivasan, V. K. – International Journal of Mathematical Education in Science and Technology, 2010
The purpose of this article is to discuss specific techniques for the computation of the volume of a tetrahedron. A few of them are taught in the undergraduate multivariable calculus courses. Few of them are found in text books on coordinate geometry and synthetic solid geometry. This article gathers many of these techniques so as to constitute a…
Descriptors: Geometry, Calculus, Computation, Mathematics Instruction