ABOUT THE SPEAKER
Arthur Benjamin - Mathemagician
Using daring displays of algorithmic trickery, lightning calculator and number wizard Arthur Benjamin mesmerizes audiences with mathematical mystery and beauty.

Why you should listen

Arthur Benjamin makes numbers dance. In his day job, he's a professor of math at Harvey Mudd College; in his other day job, he's a "Mathemagician," taking the stage in his tuxedo to perform high-speed mental calculations, memorizations and other astounding math stunts. It's part of his drive to teach math and mental agility in interesting ways, following in the footsteps of such heroes as Martin Gardner.

Benjamin is the co-author, with Michael Shermer, of Secrets of Mental Math (which shares his secrets for rapid mental calculation), as well as the co-author of the MAA award-winning Proofs That Really Count: The Art of Combinatorial Proof. For a glimpse of his broad approach to math, see the list of research talks on his website, which seesaws between high-level math (such as his "Vandermonde's Determinant and Fibonacci SAWs," presented at MIT in 2004) and engaging math talks for the rest of us ("An Amazing Mathematical Card Trick").

More profile about the speaker
Arthur Benjamin | Speaker | TED.com
TED2009

Arthur Benjamin: Teach statistics before calculus!

Математикийн боловсролыг өөрчлөх тухай Артур Бенжамины санал

Filmed:
2,523,768 views

"Дээд математик миний өдөр тутмын амьдралд хэрэглэгдэхүү?" гэж математикийн багш нараас хүмүүс үргэлж асуудаг. Ихэнх хүмүүсийн хувьд бол үгүй гэж Артур Бенжамин хэлж байна. Математикийн боловсролыг өнөөгийн дижитал эрин үетэй хэрхэн холбох тухай тэрээр зоригтой санааг дэвшүүлж байна.
- Mathemagician
Using daring displays of algorithmic trickery, lightning calculator and number wizard Arthur Benjamin mesmerizes audiences with mathematical mystery and beauty. Full bio

Double-click the English transcript below to play the video.

00:12
Now, if President Obama
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Хэрвээ яг одоо, ерөнхийлөгч Обама намайг
00:15
invited me to be the next Czar of Mathematics,
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дараагийн "Математикийн Хаан" болооч гэж уривал
00:19
then I would have a suggestion for him
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надад энэ орны математикийн
00:22
that I think would vastly improve
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боловсролыг асар том хэмжээгээр
00:24
the mathematics education in this country.
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дээшлүүлж чадах нэг зөвлөгөө байх болно.
00:27
And it would be easy to implement
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Энэ маань хэрэгжүүлэхэд
00:29
and inexpensive.
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хялбар баc хямд.
00:31
The mathematics curriculum that we have
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Бидний одоогийн математикийн сургалтын хөтөлбөр
00:33
is based on a foundation of arithmetic and algebra.
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арифметик, алгебрийн үндэст суурилдаг.
00:37
And everything we learn after that
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Үүний дараа сурах зүйл нь
00:39
is building up towards one subject.
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нэг л сэдэв рүү чиглэж байдаг.
00:42
And at top of that pyramid, it's calculus.
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Тэр пирамидын орой нь математик анализ байна.
00:46
And I'm here to say
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Тэгэхээр би энд, энэ бол
00:48
that I think that that is the wrong summit of the pyramid ...
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буруу оройтой пирамид гэж...
00:52
that the correct summit -- that all of our students,
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бүх оюутнууд, ахлах ангийн төгсөгчдийн
00:54
every high school graduate should know --
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мэдвэл зохих зөв орой нь
00:56
should be statistics:
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магадлал, статистик
00:59
probability and statistics.
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гэж боддогоо хэлэхээр байна.
01:01
(Applause)
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(Алга ташилт)
01:03
I mean, don't get me wrong. Calculus is an important subject.
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Намайг буруугаар битгий ойлгоорой. Математик анализ бол чухал сэдэв.
01:07
It's one of the great products of the human mind.
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Энэ бол хүний оюуны агуу бүтээлүүдийн нэг.
01:09
The laws of nature are written in the language of calculus.
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Байгалийн хуулиуд нь математик анализийн хэлээр бичигддэг.
01:13
And every student who studies math, science, engineering, economics,
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Математик, шинжлэх ухаан, инженер, эдийн засгийн
01:17
they should definitely learn calculus
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оюутан бүр математик анализийг
01:19
by the end of their freshman year of college.
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1-р курсийн эцэс гэхэд судлах нь гарцаагүй.
01:21
But I'm here to say, as a professor of mathematics,
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Гэхдээ математикийн профессорийн хувьд хэлэхэд
01:24
that very few people actually use calculus
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маш цөөхөн хүн математик анализийг өдөр
01:28
in a conscious, meaningful way, in their day-to-day lives.
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тутмын амьдралдаа хэрэглэе гэж хэрэглэдэг.
01:31
On the other hand,
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Үүний эсрэгээр, харин
01:33
statistics -- that's a subject that you could,
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статистик бол та бүхэн өдөр тутамд ашиглаж болох,
01:36
and should, use on daily basis. Right?
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ашиглах ч ёстой зүйл юм.
01:39
It's risk. It's reward. It's randomness.
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Эрсдэл, ашиг, санамсаргүй тохиолдол гээд л.
01:42
It's understanding data.
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Энэ бол үзэгдлийг ойлгох зам.
01:44
I think if our students, if our high school students --
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Хэрвээ оюутнууд, ахлах ангийн сурагчид
01:46
if all of the American citizens --
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бүх Америкийн иргэд магадлал, статистикийг
01:48
knew about probability and statistics,
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мэддэгсэн бол бид өнөөдрийн
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
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эдийн засгийн энэ замбараагүйдэлд орохгүй байхсан.
01:54
Not only -- thank you -- not only that ...
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Үүгээр ч зогсохгүй, хэрвээ зөв зааж
01:57
but if it's taught properly, it can be a lot of fun.
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чадвал энэ маш хөгжилтэй ч байж болно.
02:00
I mean, probability and statistics,
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Би үүгээрээ, магадлал, статистик бол
02:02
it's the mathematics of games and gambling.
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мөрийтэй тоглоомны математик нь гэх гэсэн юм.
02:06
It's analyzing trends. It's predicting the future.
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Энэ чиг хандлагыг шинжилж, ирээдүйг хэлдэг.
02:10
Look, the world has changed
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Хар л даа, дэлхий ертөнц
02:12
from analog to digital.
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аналогоос дижитал руу шилжиж байна.
02:15
And it's time for our mathematics curriculum to change
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Математикийн сургалтын хөтөлбөр ч
02:18
from analog to digital,
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аналогоос дижитал руу шилжих цаг нь болсон.
02:20
from the more classical, continuous mathematics,
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Сонгодог, хязгааргүйн математикаас
02:24
to the more modern, discrete mathematics --
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орчин үеийн, дискрет математик руу.
02:27
the mathematics of uncertainty,
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Таамаглалын, санамсаргүй тохиолдлын,
02:29
of randomness, of data --
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мэдээллийн математик болох
02:31
that being probability and statistics.
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магадлал, статистик гэсэн үг.
02:34
In summary, instead of our students
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Дүгнэж хэлэхэд, оюутнууд маань математик анализийн техникт
02:36
learning about the techniques of calculus,
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суралцахын оронд миний бодлоор бол
02:39
I think it would be far more significant
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дундажын 2 стандарт хазайлтыг
02:42
if all of them knew what two standard deviations
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мэдэж байх нь тэдэнд илүү чухал байхсан.
02:45
from the mean means. And I mean it.
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Энийг би хэлье гэж хэлж байна.
02:48
Thank you very much.
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Маш их баярлалаа.
02:50
(Applause)
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(Алга ташилт)
Translated by Saruul Tovuusuren
Reviewed by Tuya Erdenejargal

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ABOUT THE SPEAKER
Arthur Benjamin - Mathemagician
Using daring displays of algorithmic trickery, lightning calculator and number wizard Arthur Benjamin mesmerizes audiences with mathematical mystery and beauty.

Why you should listen

Arthur Benjamin makes numbers dance. In his day job, he's a professor of math at Harvey Mudd College; in his other day job, he's a "Mathemagician," taking the stage in his tuxedo to perform high-speed mental calculations, memorizations and other astounding math stunts. It's part of his drive to teach math and mental agility in interesting ways, following in the footsteps of such heroes as Martin Gardner.

Benjamin is the co-author, with Michael Shermer, of Secrets of Mental Math (which shares his secrets for rapid mental calculation), as well as the co-author of the MAA award-winning Proofs That Really Count: The Art of Combinatorial Proof. For a glimpse of his broad approach to math, see the list of research talks on his website, which seesaws between high-level math (such as his "Vandermonde's Determinant and Fibonacci SAWs," presented at MIT in 2004) and engaging math talks for the rest of us ("An Amazing Mathematical Card Trick").

More profile about the speaker
Arthur Benjamin | Speaker | TED.com