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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Embodied Mathematics

(Nov 2 – Dec 7, 2017) Our 5-7 year olds just spent five weeks experiencing math with their bodies.* You can see some footage of this circle in action on the video we produced during the course. Thanks to all the students and parents who participated. Here’s a list/description of every activity we did.   Role-playing the need for math…

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PARITY #5: Discovering Collaboration

(April 14, 2016)  The kids finally solved The Very Clever Prince problem.  My helper J and I put a list on the board entitles “What We Know.”  (We had never done this before.)  One student posited a conjecture which made someone else think of something.  That something made another student realize something else.  And so it went, as it has…

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PARITY #4: Kid Helpers Again, Student Ownership

(April 7, 2016) Remember my report on last week’s session, my thoughts about the nexus of pedagogy, kid behavior, and older kids helping?  This week put all those conjectures to a real test. We began with 11-year-old J facilitating a problem-solving discussion on our ongoing logic problem The Very Clever Prince.  All four kids contributed excellent conjectures that moved the…

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PARITY #3: Older Kids Helping

(March 31, 2016)  Some older kids helped to lead the circle.  At the beginning, R (age 16) sat down on the floor with them to play nim, which the kids know how to play.  She asked some open-ended questions: “How do you want to play?” “How do you want to set it up?” “Do you guys want to go first…

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