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Comment by joeclark77 | Hacker News Reader

> The "formal way" as you put it is complex and unnecessary. It makes things harder, especially once you hit algebra. If you can't do simple two digit addition in your head by the time you start learning things that involve larger processes like inequalities and quadratic equations you WILL slow down and possibly become frustrated and lose confidence.

But how do you learn to do two digit addition in your head? You learn by doing two digit addition on paper over and over again. Students who are good at this will begin to notice patterns and develop shortcuts. You cannot just skip the learning and go right to the shortcuts.

This is the kind of stuff they're peddling under common core: http://ace.mu.nu/archives/346625.php http://twitchy.com/2014/04/10/common-core-insanity-for-six-y...

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Nobody is talking about shorcuts.

You learn by starting with the tens place and moving on to the ones place. LEFT to RIGHT. NOT right to left.

27+38

30 + 20 = 50

7+8 = 5+8+2 = 5+10 = 15

50 + 15 = 65

This is a lightning fast process that you do on paper to understand, and in your head in practice. Carrying, as I've said 3 times now is inefficient, slow, and harms the future possibility of doing well in upper level math.

BTW, I'm no stranger to the alternative media. Hell, I still watch the Infowars feed. (I would also say that the english side of common core is appalling.) But you have to recognize that the stuff is 99% bullshit, just as with the case with FOX and CNN. (Note that math can NOT be memorized, you're dealing with infinity.) These sites pander to a specific audience just like everyone else. Hateful/scared people love hateful/scared sites. Its a shame everyone has to spin everything into something bigger than it actually is.

Just the facts. This kind of math is faster, easier to learn, and easier to do. It's results (already proven) create a higher confidence in math and a better ability to perform at the higher levels. This stuff isn't new in any way. It's the same as using an abacus. (You know, those things they used in old one room schoolhouses where you slide the ones and ten places?) And tell me, how well do you think modern Americans compare to children in the 19th century with math? You sell yourself as someone who might know about a certain book by Charlotte Iserbyt, so I assume you know where I'm going with this.

Check out the Khan Academy site listed in the OP and do a little for yourself. Learn it in order to understand it.

First of all, I think that technique is nuts as an educational method. Five and six year olds cannot instantly intuit that 27+38 = (20+30)+(5+8+2) in their heads before they've ever had lessons on doing math the mechanical way, carrying the one, etc. They need to know how to add before they can start doing intuitive pre-processing in their heads. They may be able to do the pre-processing later, after they've seen a lot of math problems, but you can't just skip the basics.

Second of all, did you follow the Twitchy link I posted? At the bottom of the page they have about ten other links to other posts, each pointing to a "technique" or "problem" in a common core math book more absurd than the last. Your "abacus-like" method is less insane than some of them, but the sum total is entirely consistent with what I'm saying: it's a cargo cult mentality.

"Five and six year olds cannot instantly intuit that 27+38 =..."

"... before they've ever had lessons on doing math the mechanical way, carrying the one, etc."

Really? It's not OK to teach the easier way because you don't think it's intuitive (even though it is much more intuitive), but it is OK to teach the harder way that they won't use in upper level math when it's obviously not intuitive? (put one digit at the bottom, subtract one from another, and add three digits instead of 2? wtf? why can't I just add two numbers? children don't have stubborn bias' that cause them to automatically hate everything new)

I don't know if you've noticed but adding 20 and 30 is adding. They need to know how to add? You're not trying.

You're too stubborn to pay attention to yourself and I'm not stupid enough to keep talking to a brick wall.

One cannot intuit until one knows the territory. Intuition is what the good students will develop by the time they get to "upper level math". And they develop it by seeing and solving a lot of math problems step by step. The "hard way" is not as fast as intuition, but it has a set of instructions that can be taught and followed. You cannot just tell the students in first grade: you don't need to follow any instructions, just start intuiting the answers by looking at the big picture.

What you call "the hard way" is the way people have learned addition for a thousand years, and it works. It worked for Newton, Einstein, and the guys who put men on the moon.

Aside: The day I see a Millennial kid make change from a cash register without having to look at the computer screen is the day I might start taking math education advice from your generation...

Aside #2: I too did an image search for 'common core math'. Look what I found! I think they make my point for me:

http://i1.wp.com/truthinamericaneducation.com/wp-content/upl...

http://greenecountyteaparty.ohlc.org/wp-content/uploads/site...

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