A 2D version of Cavalieri's Principle is productive for the teaching of area. In this manuscript, we consider an area-preserving transformation, “segment-skewing,” which provides alternative justification methods for area formulas, conceptual insights into statements about area, and foreshadows transitions about area in calculus via the Riemann integral.

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A two-dimensional segment-skewing version of Cavalieri's principle presents alternative justification methods for formulas as well as conceptual insights into statements about area that foreshadow transitions in calculus via the Riemann integral.

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Copyright:
© 2020 by National Council of Teachers of Mathematics, Inc.
Page Count:
8
Article Category:
Research Article
Received:
28 Mar 2019
Print Publication Date:
01 Jan 2020
Online Publication Date:
Jan 2020
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