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Teaching necessarily forces a rigor not seen in most actual usage. This is because there is a need to build concepts on top of one another. So while 3x5 and 5x3
by sophacles 11y ago
Teaching necessarily forces a rigor not seen in most actual usage. This is because there is a need to build concepts on top of one another. So while 3x5 and 5x3 are the same in practical usage, it this method helps in later steps like algebra:
5x = x + x + x + x, i can't rearrange that into terms of 5+ without involving even more concepts (like recursion etc)
- aninhumer 11y ago>Teaching necessarily forces a rigor not seen in most actual usage. This is because there is a need to build concepts on top of one another. To be honest, what I take away from this is "It's easier for the teacher to keep track of progress if everyone takes the same path to understanding". This might be true, but is precise knowledge of progress more important than the benefits of allowing different paths? I'm inclined to think it will stunt their creativity and exploration in ways that slow them down overall.