The Harmony Learning Community Blog

News, Updates, Program Recaps, and Homeschooling Information

OPEN Q’S #4: Total Stopping Time

(May 12, 2016) We spent almost the whole hour examining the “total stopping time” of sequences of Hailstone Numbers, those formed by the Collatz Conjecture.  (Pick a number.  If it’s even divide it by 2, if it’s odd triple it and add 1.)  Is there a starting number that doesn’t end up producing 1 as the final number of the…

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Math Circle: A Matter of Perspective (Eye of Horus 5)

A Matter of Perspective (Eye of Horus 5) (October 15, 2013) Students arrived to see 7 arrays of blocks on the table, with the following numbers of blocks in the piles respectively:  1, 2, 4, 8, 16, 32, and 64.  Well, that was the numbers from one side of the table.  When we looked at the arrays from the other…

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