# The Harmony Learning Community Blog

News, Updates, Program Recaps, and Homeschooling Information

### The Stable Marriage Problem (Gale Shapley Algorithm)

(October 2, 2017) I discovered this problem and was so excited – my students would love it, it directly tied in to the topic of our course, and it was a good example of a mathematical algorithm that all of the students would have sufficient math background to work. I wanted to do it right away, so I discarded my…

### PROOFS #6: Math as Art, Collaboration, and Spectator Event

(May 21, 2013)  There’s more than one way to prove the vertical angle theorem:  verbally, numerically, algebraically (with various approaches), intuitively, visually.  Our Math Circle participants debated and attempted them all.  When the theorem was finally proven algebraically, everyone smiled.  It was a satisfying proof.  And it was fun.  And we learned on the way.  Some highlights: N asked “What…

### PROOFS #5: Debating the Merits of Proofs

THEOREM:          A cat has nine tails. PROOF:                1.  No cat has 8 tails.                                 2.  One cat has one more tail than no cats.  Therefore, a cat has nine tails.1 (May 14, 2013)  We began today’s Math Circle debating the merits of the cat-has-nine-tails “proof.”  N stood at the board diagramming “my” reasoning.  G came up to…