# The Harmony Learning Community Blog

News, Updates, Program Recaps, and Homeschooling Information

### 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…

### Chromatic #, Week 3, The Number Line

(March 24, 2015) “This is the last function machine I will ever lead in this course,” I announced at the start of class.  “After today, you will take turns leading them.”  My function machine of the day produced 7 from 3, 17 from 8, 6259 from 3129, and so on.  In other words, f(x) = 2x + 1. We never…

### 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…

### Math Circle Blog: Plato, Codes, and Exploding Dots

Plato, Codes, and Exploding Dots “I must add how charming the science of arithmetic is and in how many ways it is a subtle and useful tool to achieve our purposes, if pursued in the spirit of a philosopher, and not of a shopkeeper!’” This was the last line of a dialogue my assistant R and I read at the…

### Math Circles: Two Weeks

No one had any clue what the rule might be.   We started last week’s Math Circle with 2 rounds of “Tens Concentration.” This arithmetic game is also a mindfulness practice, focusing and sharpening attention. You could have heard a pin drop as the kids tried to remember the location of that other card that would create a sum of…