TED2009
Arthur Benjamin: Teach statistics before calculus!
Artur (Arthur) Benjaminning matematika ta'limini o'zgartirish formulasi
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Kimdir doimo matematika o'qituvchisidan so'raydi, "Oliy matematikadan hayotda foydalanamanmi?" Ko'pchiligimiz uchun, bunga javob "yo'q" -- deb Artur (Arthur) Benjamin aytadi. Artur (Arthur) Benjamin elektronik asrda matematika fanini qanday qilib hayotga bog'liq qilib o'qitishimiz haqida oqilona taklif keltiradi.
Arthur Benjamin - Mathemagician
Using daring displays of algorithmic trickery, lightning calculator and number wizard Arthur Benjamin mesmerizes audiences with mathematical mystery and beauty. Full bio
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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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)
ABOUT THE SPEAKER
Arthur Benjamin - MathemagicianUsing 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").
Arthur Benjamin | Speaker | TED.com