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Nov 19, 2014 at 1:36 comment added Benjamin Dickman With regard to the initial idea you are talking about: You might look up APOS Theory for a formal framework to think about moving from the mechanical process to the using of one's brain (to speak colloquially). As for the "my own inclination" piece: You may wish to read up on things like count on, count all, subitizing...
Nov 18, 2014 at 14:04 history answered NiloCK CC BY-SA 3.0