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This is a fun and inspiring description of someone's first conversation about the use of compasses - I think it could be a nice conversation at other early points in students exposure to compasses as well.
A note on math circles: Math Circles are a particular talk protocol for facilitating a discovery based conversation with a group of learners. Typically, there's a starting question and the facilitator responds to each student's contribution to the conversation with another question. It is common in math circles that the end result of the conversation is both more sophisticated and powerful than what happens inÂ a typical math classroom, however it is hard to facilitate and requires that you be willing to go with what your students are thinking about. It also helps to have a great deal of mathematical knowledge, not to mention a very engaged group of learners.
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