The Harmony Learning Community Blog

News, Updates, Program Recaps, and Homeschooling Information


(3/8/2018) During our course on Invariants, the eight-year-olds spent most of the time exploring the Euler Characteristic (click here for details). This report is essentially a list of other activities we did to start or finish our sessions. An invariant is something that never changes. Piagetian Conservation Tasks – We did every activity in this article: Conservation tasks basically…

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The Euler Characteristic for Eight-Year-Olds

(Jan. 25 – March 8, 2018) The five students (plus one occasional visitor) in our math circle spent six weeks doing like mathematicians do – savoring a math problem, learning it in depth before any attempts to solve it. I felt like Andrew Wiles in his decades-long work on Fermat’s Last Theorem. BEFORE THE COURSE: THINKING ABOUT IT I didn’t…

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New Math Circle Courses for 2017-18

Here are our unofficial course schedules for the upcoming year. Once they become official (after some possible extremely minor tweaking), registration info will be posted on the Talking Stick website.   Our Algorithmic Culture Dates: Thursdays, 3:30-4:45pm, 9/7-10/26 (8 weeks, 75-minute sessions, 10 hours total) Suggested Ages: 13+ What are algorithms and how do they drive our culture? We’ll examine…

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