(01-16-2015, 08:47 PM)Lilithium Wrote: I do the same thing. The written down part is what confuses some people because it's taking something that normally calculates itself in your head almost automatically and trying to map it out step by step. When I helped my fifteen year old sister with her schooling? It was a nightmare.
It's self-awareness. The idea is that once kids make the connection (and the writing down part may be necessary for a lot of kids to get it - just not all, which is where the alternative teaching strategies and having a diversified approach comes in), they will be better equipped to confidently apply the theory to much more complex problems. If they don't understand the methods thoroughly, there's a high likelihood that they will misapply methods to problems where it isn't appropriate (this is something that actually happens). It's absolutely sound.
It's also entirely possible to teach to the Common Core math standard in ways other than physically writing out a diagram, and I can guarantee you that teachers who know their stuff will do exactly that. The idea that kids learn differently is not something that teachers are ignorant of, and the Common Core standards do not dictate a single way of teaching. They simply lay out the systems needed to uplift student understanding to a level higher than what they were at previously.
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