# The Harmony Learning Community Blog

News, Updates, Program Recaps, and Homeschooling Information

### “Waggy, Do You Eat Meat?” (Some Basic Tenets of Mathematics)

(September 20 and 27, 2018) On a particular island, every inhabitant (puppet) is either a knight, who always tells the truth, or a liar, who always lies. Which puppet is a liar? Which one a knight? You can either listen to their statements, or ask them questions. “What’s a statement?” asked A immediately. And our first session was off and…

(May 20, 2014) Rachel Steinig co-led the session with me today, so I’ll let her tell the story of what happened: Today at Math Circle we did a lot of math (no kidding). WE started out reading a puzzle from the book by Smiullyan. I had read the puzzle earlier, sort of guessed the answer, but I never was totally…

### More Logic, More Factoring, and Sticking with Tough Problems

THE CRIMINALS OF THE WEEK (May 13, 2014) “It’s time talk about the criminals,” I announced to an exuberant group of kids who were not quite ready to settle into math circle.  The word criminals got their attention.  We tackled Smullyan’s Inspector Craig mystery puzzle #74.  I expected a huge struggle for 2 reasons: more clues to keep track of,…

### The Ants Go Marching

(May 6, 2014)  Today I have a quickie report and lots of photos. We started with Smuyllan’s Inspector Craig puzzle #72.  Today our variables A, B, and C represented Able, Beatrice, and Cable.  I asked the kids if they realized that these are different people from the A, B, and C last week.  “Of course,” came the reply.  Then the…

### Role-Playing the Need for Numbers

(April 22, 2014)  Today was the first of a six-week math circle for ages-6-7.  We began with a crime-solving logic puzzle involving 3 characters, Abigail, Bartram, and Carle.  This puzzle was Smullyan’s puzzle #71 of his “From the Files of Inspector Craig.”1  The four kids in attendance solved it methodically, cooperatively, and with glee.  We had bonus fun postulating…

### Can Crows Count?

Inspector Craig Cases/Variables (April 29, 2014) We began with Smullyan’s puzzle #72 (another Inspector Craig whodunit). Before class, I wondered whether to use his convention of calling the suspects in each case A, B, and C.  The cases are distinct, and the variables are true variables – they represent different people in each equation… I mean in each case.  I…

### Logic for the Very Young

Logic for the Very Young (February 26 and March 5, 2013) “One afternoon, 2 children wander into a Kingdom unknown to them ….” So began our two-week Math Circle for children aged 6-7.  This story framed an exploration of logic games, questions, and strategies.  I had lost my voice, so my assistant Rachel led the Circle while I sat quietly…