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!

Artur (Arthur) Benjaminning matematika ta'limini o'zgartirish formulasi

Filmed:
2,625,810 views

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.
- 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
0
0
3000
Agar Prezident Obama
00:15
invited me to be the next Czar of Mathematics,
1
3000
4000
meni matematikaning keyingi Qiroli bo'lishga taklif etsa,
00:19
then I would have a suggestion for him
2
7000
3000
bu davlatda
00:22
that I think would vastly improve
3
10000
2000
matematika ta'limini
00:24
the mathematics education in this country.
4
12000
3000
juda ham rivojlantirar edim, deb o'ylayman.
00:27
And it would be easy to implement
5
15000
2000
Buni amalga oshirish oson bo'lardi
00:29
and inexpensive.
6
17000
2000
va ko'p mablag' talab qilmas edi.
00:31
The mathematics curriculum that we have
7
19000
2000
Bizda mavjud bo'lgan matematika o'quv rejasi
00:33
is based on a foundation of arithmetic and algebra.
8
21000
4000
arifmetika va algebra asoslarida tuzilgan.
00:37
And everything we learn after that
9
25000
2000
Shundan beri o'rganadiganimiz
00:39
is building up towards one subject.
10
27000
3000
bitta fanga olib boradi.
00:42
And at top of that pyramid, it's calculus.
11
30000
4000
O'sha piramidaning eng yuqorisida esa oliy matematika.
00:46
And I'm here to say
12
34000
2000
Men shuni aytmoqchimanki,
00:48
that I think that that is the wrong summit of the pyramid ...
13
36000
4000
mening o'ylashimcha, bu oliy matematika piramidaning noto'g'ri cho'qqisi...
00:52
that the correct summit -- that all of our students,
14
40000
2000
hamma o'quvchilar,
00:54
every high school graduate should know --
15
42000
2000
har bir o'rta maktab bitiruvchisi bilishi kerak bo'lgan fan --
00:56
should be statistics:
16
44000
3000
statistika -- piramidaning to'g'ri cho'qqisi bo'lishi kerak:
00:59
probability and statistics.
17
47000
2000
taxminiylik va statistika.
01:01
(Applause)
18
49000
2000
(Qarsaklar)
01:03
I mean, don't get me wrong. Calculus is an important subject.
19
51000
4000
Meni noto'g'ri tushunmanglar. Oliy matematika muhim fan.
01:07
It's one of the great products of the human mind.
20
55000
2000
Bu inson ongining buyuk mahsulotlaridan biridir.
01:09
The laws of nature are written in the language of calculus.
21
57000
4000
Tabiat qonunlari oliy matematika tilida yozilgan.
01:13
And every student who studies math, science, engineering, economics,
22
61000
4000
Matematika, tabiiy fanlar, muhandislik va iqtisod sohalarida o'qiydigan har bir talaba
01:17
they should definitely learn calculus
23
65000
2000
universitetning birinchi kursini tugallashiga qadar
01:19
by the end of their freshman year of college.
24
67000
2000
albatta oliy matematikani o'rganishlari kerak.
01:21
But I'm here to say, as a professor of mathematics,
25
69000
3000
Lekin, matematika professori sifatida aytmoqchimanki,
01:24
that very few people actually use calculus
26
72000
4000
juda kam insonlar oliy matematikadan
01:28
in a conscious, meaningful way, in their day-to-day lives.
27
76000
3000
kundalik hayotda mazmunli ravishda foydalanadilar.
01:31
On the other hand,
28
79000
2000
Boshqa bir tomondan esa,
01:33
statistics -- that's a subject that you could,
29
81000
3000
statistika -- siz odatiy kun mobaynida ishlata oladigan
01:36
and should, use on daily basis. Right?
30
84000
3000
va ishlatishingiz kerak bo'lgan fandir. Shundaymi?
01:39
It's risk. It's reward. It's randomness.
31
87000
3000
Bu tavakkalchilik. Bu mukofot. Bu duch kelgan, tartibsizlik.
01:42
It's understanding data.
32
90000
2000
Bu ma'lumotni tushunishdir.
01:44
I think if our students, if our high school students --
33
92000
2000
Agar yuqori sinf o'quvchilari --
01:46
if all of the American citizens --
34
94000
2000
agar hamma Amerika fuqarolari --
01:48
knew about probability and statistics,
35
96000
3000
taximiylik va statistikani bilganida,
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
36
99000
3000
biz bugungidagidek iqtisodiy tartibsizlikda bo'lmas edik, deb o'ylayman.
01:54
Not only -- thank you -- not only that ...
37
102000
3000
Nafaqat bu -- rahmat -- nafaqat bu ...
01:57
but if it's taught properly, it can be a lot of fun.
38
105000
3000
[lekin] agar buni to'g'ri o'qitsak, bu fan juda ham qiziqarli bo'ladi.
02:00
I mean, probability and statistics,
39
108000
2000
Aytmoqchimanki, taxminiylik va statistika,
02:02
it's the mathematics of games and gambling.
40
110000
4000
bu o'yin va tavakkalchilik matematikasi.
02:06
It's analyzing trends. It's predicting the future.
41
114000
4000
Bu yo'nalishlarni tahlil qilish. Bu kelajak haqida taxmin qilish.
02:10
Look, the world has changed
42
118000
2000
E'tibor beringlar, dunyo
02:12
from analog to digital.
43
120000
3000
analog modeldan diskretga o'zgardi.
02:15
And it's time for our mathematics curriculum to change
44
123000
3000
Shunday ekan, matematika o'quv rejasining ham
02:18
from analog to digital,
45
126000
2000
modeldan (namunadan) elektronikaga o'zgarish payti keldi.
02:20
from the more classical, continuous mathematics,
46
128000
4000
An'anaviy, davomiy matematikadan
02:24
to the more modern, discrete mathematics --
47
132000
3000
zamonaviy, aniq matematikaga o'tish payti yetib keldi.
02:27
the mathematics of uncertainty,
48
135000
2000
Noma'lumlik matematikasi,
02:29
of randomness, of data --
49
137000
2000
ma'lumotning tartibsizligi, duch kelgan tartibda bo'lishi --
02:31
that being probability and statistics.
50
139000
3000
bu esa taximiniylik va statistikadir.
02:34
In summary, instead of our students
51
142000
2000
Hullas, o'quvchilarimiz oliy matematikaning
02:36
learning about the techniques of calculus,
52
144000
3000
uslublarini o'rganganidan ko'ra,
02:39
I think it would be far more significant
53
147000
3000
mening fikrimcha, agar ular o'rtacha ko'rsatkichdan
02:42
if all of them knew what two standard deviations
54
150000
3000
ikkita standard uzoqlik nimaligini bilsalar,
02:45
from the mean means. And I mean it.
55
153000
3000
ana bu ancha muhimroq bo'lar edi. Chin ma'noda aytyapman.
02:48
Thank you very much.
56
156000
2000
Katta rahmat.
02:50
(Applause)
57
158000
3000
(Qarsaklar)
Translated by Gulnoza Yakubova
Reviewed by Nafissa Yakubova

▲Back to top

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