Arthur Benjamin: Teach statistics before calculus!

237,050 views ・ 2009-06-29

TED


Videoni ijro etish uchun quyidagi inglizcha subtitrlarga ikki marta bosing.

Translator: Gulnoza Yakubova Reviewer: Nafissa Yakubova
00:12
Now, if President Obama
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Agar Prezident Obama
00:15
invited me to be the next Czar of Mathematics,
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meni matematikaning keyingi Qiroli bo'lishga taklif etsa,
00:19
then I would have a suggestion for him
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bu davlatda
00:22
that I think would vastly improve
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matematika ta'limini
00:24
the mathematics education in this country.
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juda ham rivojlantirar edim, deb o'ylayman.
00:27
And it would be easy to implement
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Buni amalga oshirish oson bo'lardi
00:29
and inexpensive.
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va ko'p mablag' talab qilmas edi.
00:31
The mathematics curriculum that we have
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Bizda mavjud bo'lgan matematika o'quv rejasi
00:33
is based on a foundation of arithmetic and algebra.
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arifmetika va algebra asoslarida tuzilgan.
00:37
And everything we learn after that
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Shundan beri o'rganadiganimiz
00:39
is building up towards one subject.
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bitta fanga olib boradi.
00:42
And at top of that pyramid, it's calculus.
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O'sha piramidaning eng yuqorisida esa oliy matematika.
00:46
And I'm here to say
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Men shuni aytmoqchimanki,
00:48
that I think that that is the wrong summit of the pyramid ...
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mening o'ylashimcha, bu oliy matematika piramidaning noto'g'ri cho'qqisi...
00:52
that the correct summit -- that all of our students,
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hamma o'quvchilar,
00:54
every high school graduate should know --
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har bir o'rta maktab bitiruvchisi bilishi kerak bo'lgan fan --
00:56
should be statistics:
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statistika -- piramidaning to'g'ri cho'qqisi bo'lishi kerak:
00:59
probability and statistics.
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taxminiylik va statistika.
01:01
(Applause)
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(Qarsaklar)
01:03
I mean, don't get me wrong. Calculus is an important subject.
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Meni noto'g'ri tushunmanglar. Oliy matematika muhim fan.
01:07
It's one of the great products of the human mind.
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Bu inson ongining buyuk mahsulotlaridan biridir.
01:09
The laws of nature are written in the language of calculus.
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Tabiat qonunlari oliy matematika tilida yozilgan.
01:13
And every student who studies math, science, engineering, economics,
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Matematika, tabiiy fanlar, muhandislik va iqtisod sohalarida o'qiydigan har bir talaba
01:17
they should definitely learn calculus
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universitetning birinchi kursini tugallashiga qadar
01:19
by the end of their freshman year of college.
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albatta oliy matematikani o'rganishlari kerak.
01:21
But I'm here to say, as a professor of mathematics,
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Lekin, matematika professori sifatida aytmoqchimanki,
01:24
that very few people actually use calculus
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juda kam insonlar oliy matematikadan
01:28
in a conscious, meaningful way, in their day-to-day lives.
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kundalik hayotda mazmunli ravishda foydalanadilar.
01:31
On the other hand,
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Boshqa bir tomondan esa,
01:33
statistics -- that's a subject that you could,
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statistika -- siz odatiy kun mobaynida ishlata oladigan
01:36
and should, use on daily basis. Right?
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va ishlatishingiz kerak bo'lgan fandir. Shundaymi?
01:39
It's risk. It's reward. It's randomness.
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Bu tavakkalchilik. Bu mukofot. Bu duch kelgan, tartibsizlik.
01:42
It's understanding data.
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Bu ma'lumotni tushunishdir.
01:44
I think if our students, if our high school students --
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Agar yuqori sinf o'quvchilari --
01:46
if all of the American citizens --
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agar hamma Amerika fuqarolari --
01:48
knew about probability and statistics,
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taximiylik va statistikani bilganida,
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
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biz bugungidagidek iqtisodiy tartibsizlikda bo'lmas edik, deb o'ylayman.
01:54
Not only -- thank you -- not only that ...
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Nafaqat bu -- rahmat -- nafaqat bu ...
01:57
but if it's taught properly, it can be a lot of fun.
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[lekin] agar buni to'g'ri o'qitsak, bu fan juda ham qiziqarli bo'ladi.
02:00
I mean, probability and statistics,
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Aytmoqchimanki, taxminiylik va statistika,
02:02
it's the mathematics of games and gambling.
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bu o'yin va tavakkalchilik matematikasi.
02:06
It's analyzing trends. It's predicting the future.
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Bu yo'nalishlarni tahlil qilish. Bu kelajak haqida taxmin qilish.
02:10
Look, the world has changed
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E'tibor beringlar, dunyo
02:12
from analog to digital.
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analog modeldan diskretga o'zgardi.
02:15
And it's time for our mathematics curriculum to change
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Shunday ekan, matematika o'quv rejasining ham
02:18
from analog to digital,
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modeldan (namunadan) elektronikaga o'zgarish payti keldi.
02:20
from the more classical, continuous mathematics,
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An'anaviy, davomiy matematikadan
02:24
to the more modern, discrete mathematics --
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zamonaviy, aniq matematikaga o'tish payti yetib keldi.
02:27
the mathematics of uncertainty,
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Noma'lumlik matematikasi,
02:29
of randomness, of data --
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ma'lumotning tartibsizligi, duch kelgan tartibda bo'lishi --
02:31
that being probability and statistics.
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bu esa taximiniylik va statistikadir.
02:34
In summary, instead of our students
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Hullas, o'quvchilarimiz oliy matematikaning
02:36
learning about the techniques of calculus,
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uslublarini o'rganganidan ko'ra,
02:39
I think it would be far more significant
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mening fikrimcha, agar ular o'rtacha ko'rsatkichdan
02:42
if all of them knew what two standard deviations
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ikkita standard uzoqlik nimaligini bilsalar,
02:45
from the mean means. And I mean it.
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ana bu ancha muhimroq bo'lar edi. Chin ma'noda aytyapman.
02:48
Thank you very much.
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Katta rahmat.
02:50
(Applause)
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(Qarsaklar)
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