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"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."

by eglover 12y ago

"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.

joeclark77 12y ago
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/uploads/2013/03/Common-Core_13.jpg http://i1.wp.com/truthinamericaneducation.com/wp-content/upl... http://greenecountyteaparty.ohlc.org/wp-content/uploads/sites/30/2014/03/Common-Core-math-problem.png http://greenecountyteaparty.ohlc.org/wp-content/uploads/site...

by eglover 12y ago

joeclark77 12y ago

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/uploads/2013/03/Common-Core_13.jpg http://i1.wp.com/truthinamericaneducation.com/wp-content/upl... http://greenecountyteaparty.ohlc.org/wp-content/uploads/sites/30/2014/03/Common-Core-math-problem.png http://greenecountyteaparty.ohlc.org/wp-content/uploads/site...