The Talking Stick Blog

News, Updates, Program Recaps, and Homeschooling Information

OPEN Q’s #6: Liar’s Dice

(May 26, 2016)  Split into 3 teams.  Each team gets 5 dice.  Roll them all, look at them, but don’t let the other team see them.  The first team makes a 2-digit bid.  The first digit of the bid is your prediction of the total number of dice of a certain value every team combined has.  The second digit is…

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OPEN Q’s #5: Graceful Tree Conjecture

(May 19, 2016)  This is a graph-theory story best told with pictures, so feel free to go straight to the photo gallery below.  But I’ll try to explain it in the words I used with the students: Draw a tree.  Any Tree.  Sequentially number both ends of each branch or branch segment, starting with 1.  You have created a “graph”…

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OPEN Qs #1 and 2: Graph Theory and Number Theory

(April 21 and 28)  So far, the questions I’m giving the kids to work on in Math Circle are leading them to ask very interesting questions on their own.  The bullet points below are all questions and conjectures posited by the students, not me.  The problems themselves are unanswered, or open, questions in mathematics.  I used presentations similar to those…

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CHROMATIC #, WEEK 6: No Mention of Aliens

(April 14, 2015)  In case you haven’t been following along, a bunch of 6-8 year olds have been tackling the Hadwiger-Nelson Problem (to determine the chromatic number of the plane) with the support of a narrative tale about aliens on a planet called Botso.  This week (our final), I dropped all references to the story.  The group engaged in an…

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Chromatic #, Week 5, Making Progress

(April 7, 2015) We started today with child-produced function machines, then moved into our old standby, the Hadwiger-Nelson Problem. INTRODUCING DOMAINS OF FUNCTIONS M approached me before class with a slip of paper with her rule written on it: +10.  She explained that she had only practiced with numbers up to 1,000.  What to do if someone called out an…

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