The Talking Stick Blog

News, Updates, Program Recaps, and Homeschooling Information

PROOFS #4: Finally Starting to Prove Something

(May 7, 2013)  It is said that Pythagoras promoted the belief that every number can be expressed as a ratio of whole numbers.  This idea was still a bit confusing to our Math Circle participants, who tried to brainstorm some number that couldn’t be expressed this way.  “How about 1.43?” they asked.  “3.5 over 4?”  “3.5792 over 4?”  That last…

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PROOFS #3: Irrational Numbers, Hippasus, and Visual Proofs

(April 30, 2013)  As I entered the building, L, one of my Math Circle lurkers, asked excitedly, “Are you studying The Pythagorean theorem?”  I never erase the board work at the end of class so that L (and other building users) can study and think about it throughout the week.  L does not participate in our Circle, but follows it…

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