A two-day lesson on taxicab geometry introduces high school students to a unit on proof.
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Derek A. Williams, Kelly Fulton, Travis Silver, and Alec Nehring
Kwaku Adu-Gyamfi, Michael. J. Bossé, Ronald Preston, and Derek A. Williams
The notion or expectation of simplifying final mathematical results remains problematic in that it is ill-defined, tied more closely to algorithmic versus conceptual understanding, and decontextualized from the content, purpose, and application of the mathematics in question. Through examples, we propose that simplification needs to be contextualized.