Mathematical physicist and mentor to mathematically talented youth. Talent is that which bridges the gap between what can be taught and what must be learned.
Joined June 2012
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I humbly submit, as yet another piece of contrary evidence, the following:
youtube.com/watch?v=bqNdVhpr…
Best to go right back to the roots of these things. So few really remember anymore....
youtube.com/watch?v=J8sBdTCP…
Properly anterior to this sort of thing, which deals not only with notions but also with notations, is extensive exposure to notation-free stimuli specifically designed to make the notions of number and of elementary operations on numbers immediately perceptible. For example:
Gaze at this figure (or consult J J Sylvester, with his duads and synthemes) until enlightenment dawns.
