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Area-Preserving Transformations: Cavalieri in 2D

Nicholas H. Wasserman, Keith Weber, Timothy Fukawa-Connelly, and Juan Pablo Mejía-Ramos

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.

Journal Article

Cover Mathematics Teacher: Learning and Teaching PK-12

In Mathematics Teacher: Learning and Teaching PK-12 Volume 113 (2020): Issue 1 (Jan 2020)