I completely disagree with this. It is way more important to break stuff up first, that way when you get to the quick and simple method, you know what is going on underneath. I have a 2nd grader who's been doing common core now for a couple years and I'm seeing this stuff every day.
First, they are showing how these numbers break down. They are getting these minds to break things apart into their parts. They can see what makes up these numbers. They are showing them the tricks you can do to shift numbers around, and pull things apart. They are getting their minds a deeper view of numbers.
They did the same thing with language. They treated spelling a lot like math. Their spelling words were mostly NOT memorized. They applied rules to words. Some of these rules got complicated, but it was a formula to break words apart and apply rules. Think about it, how dumb is it to just memorize every word in English, when 80% are rule driven... just memorize the last 20%. Their spelling tests had a section on the 20% that could only be memorized.
I'm surprised every day that slashdotters don't praise common core. I'm guessing it is because they see a single example and aren't seeing the big picture that us parents see. They are driving these little minds to logic!