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Hierarchies of Abstraction
The Ladder of Abstraction -- by Bret Victor
Victor's idea of a ladder of abstraction is compelling. His presentation of mathematic as a succession of abstractions layered upon one another is beautiful. I suspect the idea of hierarchies of abstraction is a fertile field for exploring how grammar, logic, and rhetoric fit into the mathematics classroom.
Added by William Carey on March 14, 2012 at 8:53pm — No Comments
Dan Meyer on Rhetoric
Dan Meyer's TED talk video is interesting. He astutely identifies a deep malaise in much math curriculum (i.e. it's all grammar level material), and talks through how to pose students questions that incorporate rhetoric as well.
Added by William Carey on March 2, 2012 at 12:30pm — 2 Comments
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