Math education
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Math education
Back home in India, We learned by rote that the sum of 1 + 2 +3 +4 ...+n =n(n+1)/2 .
May be we were shown how the formula came about by pairing numbers at the end points in a recursive manner and then find the grand total of the sum of each pair.
For example 1 + 10 =11, 2 + 9 = 11.... and so on. Then there are 5 such pairs and the sum of each pair = 11. So 5 * 11 =55
But the same concept can be explain geometrically with 55 dots in a triangle and finding the area,
I don't think they teach that way in India. Simply number crunching in your head.
That is why I think Indians do not have the ability to think in terms of pictures in solving a science or math problem which the westerners are good at.
May be we were shown how the formula came about by pairing numbers at the end points in a recursive manner and then find the grand total of the sum of each pair.
For example 1 + 10 =11, 2 + 9 = 11.... and so on. Then there are 5 such pairs and the sum of each pair = 11. So 5 * 11 =55
But the same concept can be explain geometrically with 55 dots in a triangle and finding the area,
I don't think they teach that way in India. Simply number crunching in your head.
That is why I think Indians do not have the ability to think in terms of pictures in solving a science or math problem which the westerners are good at.
Rishi Posts : 5129
Join date : 20110902
Re: Math education
Rishi wrote:Back home in India, We learned by rote that the sum of 1 + 2 +3 +4 ...+n =n(n+1)/2 .
May be we were shown how the formula came about by pairing numbers at the end points in a recursive manner and then find the grand total of the sum of each pair.
For example 1 + 10 =11, 2 + 9 = 11.... and so on. Then there are 5 such pairs and the sum of each pair = 11. So 5 * 11 =55
But the same concept can be explain geometrically with 55 dots in a triangle and finding the area,
I don't think they teach that way in India. Simply number crunching in your head.
That is why I think Indians do not have the ability to think in terms of pictures in solving a science or math problem which the westerners are good at.
you often make these blanket statements with no basis in reality. plenty of kids that i went to school with had these abilities. i had great math teachers through most of my k12 education in india. these were people who were passionate about what they did, and toiled in dinky little schools in nameless towns. i love them for what they did to my educational trajectory.
incidentally the way you state it is how gauss discovered the formula. my kids call it the rainbow technique.
http://www.sigmaxi.org/amscionline/gausssnippets.html
MaxEntropy_Man Posts : 14702
Join date : 20110428
Re: Math education
Rishi wrote:Back home in India, We learned by rote that the sum of 1 + 2 +3 +4 ...+n =n(n+1)/2 .
May be we were shown how the formula came about by pairing numbers at the end points in a recursive manner and then find the grand total of the sum of each pair.
For example 1 + 10 =11, 2 + 9 = 11.... and so on. Then there are 5 such pairs and the sum of each pair = 11. So 5 * 11 =55
But the same concept can be explain geometrically with 55 dots in a triangle and finding the area,
I don't think they teach that way in India. Simply number crunching in your head.
That is why I think Indians do not have the ability to think in terms of pictures in solving a science or math problem which the westerners are good at.
I actually don't remember how my early education came about. By 4 I could do all arithmatic except division  could do only upto 2 digits. I only remember the specific teachers at different grades who made each subject interesting. The terror subject was history & geography but Mr. Subramaniam made it a jijubi at the nick of time.
MarathadiSaamiyaar Posts : 17675
Join date : 20110430
Age : 110
Re: Math education
rishi,
repetition provides the foundation. you cannot build a great structure on a weak foundation.
repetition provides the foundation. you cannot build a great structure on a weak foundation.
truthbetold Posts : 6799
Join date : 20110607
Re: Math education
>>>>If I were to make a generalization here, I don't find americans at least to be good at math. I would take the indian method of practice, practice, practice any day over clever techniques at least as far as the basics go.Rishi wrote:Back home in India, We learned by rote that the sum of 1 + 2 +3 +4 ...+n =n(n+1)/2 .
May be we were shown how the formula came about by pairing numbers at the end points in a recursive manner and then find the grand total of the sum of each pair.
For example 1 + 10 =11, 2 + 9 = 11.... and so on. Then there are 5 such pairs and the sum of each pair = 11. So 5 * 11 =55
But the same concept can be explain geometrically with 55 dots in a triangle and finding the area,
I don't think they teach that way in India. Simply number crunching in your head.
That is why I think Indians do not have the ability to think in terms of pictures in solving a science or math problem which the westerners are good at.
Kris Posts : 5460
Join date : 20110428
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