Wednesday, December 29, 2010

How rigorous mathematics should be taught

Following up on the discussion on f(t) about how to teach log laws, I'd like to share the primary school video I mentioned in the comments.
Actually, there are at least two videos, and this brilliantness is produced by always brilliant Deborah Loewenberg Ball.

1. Sean numbers*: Ball improvises a lesson about even and odd numbers, wherein her third-graders derive the precise definitions. 

2. Betsy's conjecture: wherein third-graders explore proof. 
You can also find transcripts and teacher notes for these videos. 

I first read about them in this NYT article, which contains many other ideas worth thinking about.

*Side note: I LOVE how Ball engages her students by giving students' names to conjectures and numbers! 

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