Actually if you compare both sides, the "American" method actually involved breaking down the problem into smaller, more solvable equations while the "Chinese" method involves a shortcut that can be memorized. In other words: the child on the left is reassessing the problem and taking it apart entirely before solving, whereas the child on the right solves the question using a mental shortcut that someone else most likely came up with, which does not necessarily show intelligence as much as it does familiarity with that particular type of question.
But who’s to say the Chinese method doesn’t bear all that in mind and still choose the efficient route? Since either way involves memorizing things that someone else definitely came up with…
chinese one is not basicly memorize. u can use that way in most of questions like trigonometry, basic problems with logarithm etc. also i learned in like 5th grade and our teacher use a square paper and cut another square from it. than we have the formula.
Na. Chinese school system teach you the easy way. I mean even if it’s for algorithm equation. Bro here in Australia wtf are they teaching. Like bro just use the simple algorithm way, no need to use shit like ‘line’ strategy or shit
You will suffer I'm Vietnamese (5 times easier than Chinese) and I'm suffering. I learnt this constant equality algorithm in 6th grade (11 years old) But if you are used to hell, you can go and try out!
@@ramanathanannamalai5237 Huh? If you go back that far than it's Germany who leads in technological discovery and not the US. But what role do innovations made a 100 year ago play in this discussion? The discussion was about today and about teaching math. Also since a few years it's China who file the most patents worldwide overtaking the US, which is just logical if you keep in mind the huge difference between Chinese and US students nowadays.
@@ramanathanannamalai5237 Bragging with the development of the atomic bomb is also very very strange. Not a very proud moment for the US. Do you know that it was Nazi Germany that were leading in the race for the bomb but Hitler(!!) himself stopped the development when it became clear how dangerous such a weapon would be for humankind? Also it's very questionable if the transistor is an American discovery as the first patents for the field-effect transistor principle was filed in Canada by Austrian-Hungarian physicist Julius Edgar Lilienfeld in 1925 and in 1934 by German physicist Dr. Oskar Heil. William Shockley used those patents to build his prototype without referencing their work...
This makes so much sense why the American public education system is a disastrous mess and embarrassment to the world. They rank almost at the bottom of the list compared internationally in academics.
@@user-kb1ur9ky8b it’s about working smarter not harder. On a timed multiple choice test, which most test are, such as the SAT, the Chinese method would triumph over the US method.
@@jjc6530 I agree that the Chinese method is most advantageous during exams. But I don't agree with your claim that the representation of the US method in this video is a good example of the education system failures. As far as I'm concerned, the child still arrived at the right answer with discernible and mathematically sound work.
@@user-kb1ur9ky8bI think you are both right. If you understand the steps behind it then chose the faster route. That’s why we memorize the multiplication tables. And if I know some tricks for multiplying big numbers without mistake you should use it. Like 60*60. You can go through each step to show your work but you can also see that you can multiply both leading numbers and add the zeros. 6*6 = 36 +00 =3600.
@@user-kb1ur9ky8b Chinese method makes sense too. She used Linear equation. According to linear equation A^2-B^2= ( A+B)×(A-B) So , 30^2-29^2= (30+29)×(30-29) = 59×1= 59 She just didn't put the whole formula because she didn't find it necessary as it is the answer of other half is 1
The statement "a^2 - b^2 = a + b" is not generally true. It may hold true for certain specific examples like 30² - 29² = 59, but it is not a universal rule. For example, (5² - 3²) = 16, not 8 (5 + 3). In general, the difference of squares can be expressed as (a+b)(a-b) and not (a+b).
If you do the sum times the absolute of the difference it works out.... it's weird.... So 5^2 - 3^2 is sixteen Where as 5 + 3 times the absolute of the difference (2) is 16. It works across the board. 5^2 - 2^2 is 21 Where as 5 + 2 times the absolute of the difference (3) is 21. Even higher numbers work 30^2 - 22^2 is 416 While 30 + 22 times the absolute difference (8) is 416. So the formula is (a+b)*delta(a,b)
nope not necessarily like for example , if the question is changed to 6^2 - 3^2 then by applying the identity (a+b)(a-b)=a^2-b^2 and hence it will be 6^2-3^2=(6+3)(6-3)= 9x3= 27 so the final answer would be 27. I hope this was helpful ^^
@@roseanne6609you really don’t have to do that. If you include a variable “c” where c=a-b then the answer to (a^2) - (b^2) = c(a+b). Which is a simplified version of what you showed
Comparing this to a similar calculation, for example 31² - 28², i tried the technique and got the wrong answer (59) whereas if you tried the american technique, it would always get you the right answer of 177. This is just some stupid trick that involves no actual correlation to the problem.
Not really true. It’s just an algebra trick which is most of math and reveals a relationship between the bases of 2 squares. If you set the first base to “a” and the other base to “b” and c as (a-b) you would see that a^2 - b^2 = c(a+b). In the video c was 1 that why you could just add a and b. In your example c was 3 so 3*(31 + 28)= 3*59=177
@@Spooky_Cat_realin India, students have to solve difficult questions with the help of a number of formulas and tricks 🙂 I will say the American one is slow but accurate.
We could never implement us method in our exam. Those fucking teachers would give us 40 math MCQ and we had to finish them in fucking 40 minutes. No no no. I was wrong. It was fucking 35 minutes. Because the teacher would give us the question 5 minutes after the exam started.
She simply used the equation. A^2-B^2= (A+B) (A-B) 30^2- 29^2= (30+29) (30-29) 59×1 = 59 She just didn't include the A-B part because the answer was apparently 1
@@youtubeaudience384 I'm not saying the learning and information is bad, it's just schools ignore bulling and in some cases it's dangerous because of the environment and people with issues
Actually if you compare both sides, the "American" method actually involved breaking down the problem into smaller, more solvable equations while the "Chinese" method involves a shortcut that can be memorized. In other words: the child on the left is reassessing the problem and taking it apart entirely before solving, whereas the child on the right solves the question using a mental shortcut that someone else most likely came up with, which does not necessarily show intelligence as much as it does familiarity with that particular type of question.
But who’s to say the Chinese method doesn’t bear all that in mind and still choose the efficient route? Since either way involves memorizing things that someone else definitely came up with…
chinese one is not basicly memorize. u can use that way in most of questions like trigonometry, basic problems with logarithm etc. also i learned in like 5th grade and our teacher use a square paper and cut another square from it. than we have the formula.
if you think that way, then you technically memorized numbers too. someone else invented it
@@RaghavSuresh no way 🤯
Still tho. It only ² there shit alot other math more worse than couple multiple
a² - b² = (a + b) × (a - b)
Are you Chinese student
Please reply me
@@crook.allwin1189 I'm not student.
Are you Chinese
Your math is so strong 👏👏👏
I also want to study in China
So many love from India🇮🇳
@@crook.allwin1189 oh my god,that's just junior high school's basic knowledge...
Oo nice we learn that in class 1 now I am in class 6 😉
I checked this on a calculator. And as an American who was taught this American way my jaw literally dropped.
Because they are the same exponent. If one of the 2 were a 3 instead it would probably take a bit more math
Uh no the Chinese school system is way stressful than you think
How would you know?
@@25JayRick see it for yourself,
Na. Chinese school system teach you the easy way. I mean even if it’s for algorithm equation. Bro here in Australia wtf are they teaching. Like bro just use the simple algorithm way, no need to use shit like ‘line’ strategy or shit
@@AnimeS1mp take gaokao exame i would rather die
@@azure9886 lol
It’s great if you understand both methods.
chiinese implicitely applied: identity: a2-b2=(a+b)(a-b). the both good but one optimized over the other
I only have one thing to say about math: STOP MAKING IT HARD ON FUCKING PURPOSE!!!
It's not hard it's just you don't understand 💀
Still hard😂
It is already on its most easy mode as possible
@@AzmanSamsudinn more like not understanding why they have to give you 100 questions on the exact same equation but with different numbers 💀💀
@@chocolatebar6785why dont you get 100 then 💀
Well my school just mixed them all with a pi🙂
Oh no.
I'm going to Chinese school next year😭😭
You will suffer
I'm Vietnamese (5 times easier than Chinese) and I'm suffering. I learnt this constant equality algorithm in 6th grade (11 years old)
But if you are used to hell, you can go and try out!
I feel Bad for Children in Chinese school, Every school has Al to take control Over Children, children are crying and tired and has be suffered
Same video in Chinese Internet, except the right one is "Japanese kid" and left one is "Chinese kid".
She did 29*29 mentally 😱
Is nobody talking about the Chinese kids crying/ have emotional breakdowns because of the system?
But alway the last system= 1
I mean 30×30-29×29=(30+29)×1
Why are people so shocked this is a basic math identity a ^2- b^ 2 = (a-b)(a+b), in Asia we learn this in like 7th grade !
Finland has the best school system
True
And Chinese is the worst and most difficult
The American method is the reason we still lead in advance research. We can teach complex math to as many kids as possible 😉
Well Chinese version is easier
Well Chinese students are much much better in math than US students. Just compare the latest PISA results.
@@ramanathanannamalai5237 Huh? If you go back that far than it's Germany who leads in technological discovery and not the US. But what role do innovations made a 100 year ago play in this discussion? The discussion was about today and about teaching math. Also since a few years it's China who file the most patents worldwide overtaking the US, which is just logical if you keep in mind the huge difference between Chinese and US students nowadays.
@@ramanathanannamalai5237 Bragging with the development of the atomic bomb is also very very strange. Not a very proud moment for the US. Do you know that it was Nazi Germany that were leading in the race for the bomb but Hitler(!!) himself stopped the development when it became clear how dangerous such a weapon would be for humankind?
Also it's very questionable if the transistor is an American discovery as the first patents for the field-effect transistor principle was filed in Canada by Austrian-Hungarian physicist Julius Edgar Lilienfeld in 1925 and in 1934 by German physicist Dr. Oskar Heil. William Shockley used those patents to build his prototype without referencing their work...
I'm going to reaveal a big secret, but Russian kids know this too))) Like, since 7 grade at least.
Right side - correct but missed multiplication by 1. It was done intentionally to confuse.
Parents, just let the child do what they should in this age ,playing dont forget they can be a child only 13 years and it never comeback
Bro the difference of squares is taught in the US as well…
turkısh kid: iki kare farkı technic
I do it like the Chinese math
so you see the chinese method
she ninus the powers
and adds the remaining like
30²−29²=
30-29=
30+29=59
This makes so much sense why the American public education system is a disastrous mess and embarrassment to the world. They rank almost at the bottom of the list compared internationally in academics.
The “U.S method” is long but it’s mathematically logical. The Chinese method on the other hand looks like a mere shortcut.
@@user-kb1ur9ky8b it’s about working smarter not harder. On a timed multiple choice test, which most test are, such as the SAT, the Chinese method would triumph over the US method.
@@jjc6530 I agree that the Chinese method is most advantageous during exams. But I don't agree with your claim that the representation of the US method in this video is a good example of the education system failures. As far as I'm concerned, the child still arrived at the right answer with discernible and mathematically sound work.
@@user-kb1ur9ky8bI think you are both right. If you understand the steps behind it then chose the faster route. That’s why we memorize the multiplication tables. And if I know some tricks for multiplying big numbers without mistake you should use it.
Like 60*60. You can go through each step to show your work but you can also see that you can multiply both leading numbers and add the zeros. 6*6 = 36 +00 =3600.
@@user-kb1ur9ky8b Chinese method makes sense too.
She used Linear equation.
According to linear equation
A^2-B^2= ( A+B)×(A-B)
So ,
30^2-29^2= (30+29)×(30-29) = 59×1= 59
She just didn't put the whole formula because she didn't find it necessary as it is the answer of other half is 1
Doesn't work with all squared numbers.
Come to indian school habibi
Life is not all about education bruh I never use science in my life before
solo es diferencia de cuadrados y ya
Most easiest question 😂
(A - B)(A + B) is the answer, note one thing 30-29 is 1. So answer is simply 30+29.
I bet this guy lives at an island
30+29=59
Olny 1sec
30 plus 29
The statement "a^2 - b^2 = a + b" is not generally true. It may hold true for certain specific examples like 30² - 29² = 59, but it is not a universal rule. For example, (5² - 3²) = 16, not 8 (5 + 3). In general, the difference of squares can be expressed as (a+b)(a-b) and not (a+b).
I believe you got it wrong bro , if the question is 5^2 - 3^2 then it would be (5+3)(5-3)= 8x2=16 and hence the correct answer as {(a+b)(a-b)=a^2-b^2}
If you set a new variable c to equal (a-b) the the answer is c(a+b). In the video c was 1 so it just came out to be a+b. Hope that helps.
@@cliptomaniac2562 That's totally right, I should have thought about this, thanks man! 🙌
@@cliptomaniac2562so that c is a-b na, then what's it's use ?
If you do the sum times the absolute of the difference it works out.... it's weird....
So 5^2 - 3^2 is sixteen
Where as 5 + 3 times the absolute of the difference (2) is 16.
It works across the board.
5^2 - 2^2 is 21
Where as 5 + 2 times the absolute of the difference (3) is 21.
Even higher numbers work
30^2 - 22^2 is 416
While 30 + 22 times the absolute difference (8) is 416.
So the formula is (a+b)*delta(a,b)
Both the Kids are Chinese 😂😂😂😂😂😂😂
I’m not Chinese but does this trick only work when the numbers are set up like this?
nope not necessarily like for example , if the question is changed to 6^2 - 3^2 then by applying the identity (a+b)(a-b)=a^2-b^2 and hence it will be 6^2-3^2=(6+3)(6-3)= 9x3= 27 so the final answer would be 27. I hope this was helpful ^^
@@roseanne6609 oh! Ok that’s cool!
@@roseanne6609you really don’t have to do that. If you include a variable “c” where c=a-b then the answer to (a^2) - (b^2) = c(a+b). Which is a simplified version of what you showed
Smart
yeah chinese peoples learn to copy but not go the full way with failures
This is how you do it
30^2 - (30-1)^2 = 30^2 - ( 30^2 + 1 - 60) = 60-1= 59. Done no calculator or multiplication needed 😅
Comparing this to a similar calculation, for example 31² - 28², i tried the technique and got the wrong answer (59) whereas if you tried the american technique, it would always get you the right answer of 177. This is just some stupid trick that involves no actual correlation to the problem.
Not really true. It’s just an algebra trick which is most of math and reveals a relationship between the bases of 2 squares. If you set the first base to “a” and the other base to “b” and c as (a-b) you would see that a^2 - b^2 = c(a+b). In the video c was 1 that why you could just add a and b. In your example c was 3 so 3*(31 + 28)= 3*59=177
@@cliptomaniac2562yes, but still nonetheless a trick and shouldn't be used in an actual exam
@@Spooky_Cat_realin India, students have to solve difficult questions with the help of a number of formulas and tricks 🙂
I will say the American one is slow but accurate.
@@Spooky_Cat_realyou should use the linear equation, the trick the commenter on top of you showed you. Also, you have to use it in exams
So smart 😂 you can use (x_y)=1
India kids are smarter
Really??
@@abcdefghiloveyou930 ya
@@25JayRick I don't think so
Indian kids are brave but not braver than Chinese Japanese Americans Koreans etc
Yes I agree totally 😎😎😎😎
因为这是千锤百炼来的
这种东西在中国小学三年级有的都会😀
@@ihtwcnwkaoyp2333 对哈哈哈哈，不然卷子做不完
I am getting crazy
Chinese method is not very efficient to use
What about 49^2-21^2????
China rocket is going to launch on china smartly
你弄错了吧，我们用左边的方法做的题
Try 13²-11²
48 bro Indian maths op 🤣 ab toh rata diya h 🤣 ydd rehta h 🤣
(13-11)(13+11)
= 2×24
= 48
Edit: a²-b²=(a+b)(a-b)
Its just 24x2
Easy 💋
30²-29²=(30+29)×(30-29)=59
Chinese always great
We could never implement us method in our exam. Those fucking teachers would give us 40 math MCQ and we had to finish them in fucking 40 minutes.
No no no. I was wrong. It was fucking 35 minutes. Because the teacher would give us the question 5 minutes after the exam started.
You sure😭
But then you will be hit with show your work ... Later accused of cheating ... Shortcuts are nice but hinder you in the long run.
Bruh India also does the same, atleast smart students
Yes
Indians actually have one of the worst school systems in Asia
Don't think Indian students are smart. We only focus on rote learning.
@@DKMetcaIf still Indians are quite strong in mathematics. Just like China we were also taught linear equations
I hate secondary theorums
The Chinese method is all about memorisation and less about solving the equation
She simply used the equation. A^2-B^2= (A+B) (A-B)
30^2- 29^2= (30+29) (30-29)
59×1 = 59
She just didn't include the A-B part because the answer was apparently 1
bro said memorisation 😂
USA’s education system is *THE BEST*
not really
Besides the school shooting issues
@@sophiayuhg ok then, so why many people go to the US and study if its not the best???
@@youtubeaudience384 I'm not saying the learning and information is bad, it's just schools ignore bulling and in some cases it's dangerous because of the environment and people with issues
It’s alright. Better then most of Asia
All done with in the mind
Only output have come
I thought China has banned TH-cam, BTS, Lady Gaga(for chinese people in comments)
We have VPNs lol
Yes we using VPN
Using VPN of course
@@Mysterious_Person.87are VPNs illegal in China?
@@googleassistantofficial Of Course is Illegal, but they can Access it anyway with a special apps to connect with VPN.
60×2=120
what?😄
communist
So what?
@@markle7428 thats not a good thing
@@DKMetcaIf its not always 100% bad, even though i dont like it
Do you like Math ?....
Crybaby