re: 9+6 = ? "Our young learners might not be altogether comfortable..."

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I can do fairly complex calculations in my head and that is exactly the method I've used all my life.

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I get what you're saying. I do the same thing (for a basic example: what is 132 X 5, I'll do 130X5 + 2X5). There's a chance I'm wrong, but I really think that single digit number additions should simply be beaten into their heads until memorized.

And while my common core addition feelings are still open, I've seen the common core multiplication videos and it's absurd.