The Harmony Learning Community Blog

News, Updates, Program Recaps, and Homeschooling Information

Spotify and Random Number Generators

(October 12, 2017) “Everybody get a partner. Take a piece of paper. Take a pencil. Number your paper 1-30. You’re all going to flip a coin 30 times. In each partnership, decide which person will flip a real coin and which person will flip an imaginary coin.” That got their attention! I needed to harness their attention because many of…

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Math Circle Blog: Hearing What We Want to Hear

Hearing What We Want to Hear October 23, 2012: After 3 weeks of work, we finished Bertrand’s Paradox with a discussion of why it’s a paradox.  (You can get different correct answers, both theoretically and experimentally, depending upon how you define the term “random.”)  This led to debate about whether humans, or even computers, could ever truly generate randomness.  Can…

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Math Circle Blog: Infinity, the Prime Directive, and Perplexity

It’s Good to be Perplexed in Math N came up to the board a number of times as we continued last week’s probability problem.*  D had planned to start class with a new approach, but didn’t because his ideas had changed over the week.  N first came up to question the possibility of actually choosing chords randomly.  He suggested an…

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