The Harmony Learning Community Blog

News, Updates, Program Recaps, and Homeschooling Information

CANTOR #2: Realen and Reellen Numbers

(January 12, 2016)  We had a small group of 3 teens today, so to start the session on an energetic note, I shamelessly presented some controversial material. I showed the students E.T. Bells’ 1937 book Men of Mathematics, a book many consider an accessible classic of math history.  I’ve relied on this book for various math circle discussions over the…

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PROOFS #2: Exponents, Roots, Pythagoras, Theorems, Proofs, and The Kaplans

PROOFS #2:  Exponents, Roots, Pythagoras, Theorems, Proofs, and The Kaplans [juicebox gallery_id=”25″] (April  23, 2013) Before continuing our TV problem, the students recapped last session for A, who had been absent last week.  This week’s problem solving once again presented rich opportunities for delving deeply into arithmetic; it has not been the algebra and geometry that is challenging for these…

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Math Circle Topics, Math Advice, and Math Lawyer

Should we require kids to produce math facts on demand? What does it mean that something is “true,” “valid,” or “proven?” (Hint: they do not mean the same thing.) And upon what fundamental system is arithmetic based? (I’ll just tell you: place value.) These are the big questions that will drive our Math Circles this year. More specifically, ages 11…

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