The Harmony Learning Community Blog

News, Updates, Program Recaps, and Homeschooling Information

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…

Read More→

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…

Read More→

Chromatic #, Week 4, Coloring the Plane

FUNCTION MACHINES (March 31, 2015)  The first student to present his Function Machine to the group was N.*  He drew the machine, then called on students whose hands were up to suggest “in” numbers.  He stated the out number for each, as follows: IN  OUT                           1                                 118                        20           20,089,000,000                           1                                 129                           2                             …

Read More→

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…

Read More→