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!

Formula Arthura Benjamina za promenu obrazovnog programa matematike

Filmed:
2,436,711 views

Neko se uvek nadje da pita profesora matematike: "Da li ce meni izvodi i integrali biti potrebni u zivotu?". Za mnoge od nas, kaze Arthur Benjamin, odgovor je ne. On izlaze smeo predlog kako da matematika u skolama postane relevantija u danasnjem digitalnom svetu.
- 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
Ako bi me kojim slucajem predsednik Obama
00:15
invited me to be the next Czar of Mathematics,
1
3000
4000
pozvao da ja budem sledeci Car matematike,
00:19
then I would have a suggestion for him
2
7000
3000
ja bih imao predlog za njega
00:22
that I think would vastly improve
3
10000
2000
za koji mislim da bi u mnogome mogao da poboljsa
00:24
the mathematics education in this country.
4
12000
3000
predavanje matematike u skolama u ovoj zemlji.
00:27
And it would be easy to implement
5
15000
2000
Koji bi bio lak da se implementira
00:29
and inexpensive.
6
17000
2000
i jeftin.
00:31
The mathematics curriculum that we have
7
19000
2000
Matematicki program koji trenutno imamo
00:33
is based on a foundation of arithmetic and algebra.
8
21000
4000
je baziran na osnovama aritmetike i algebre.
00:37
And everything we learn after that
9
25000
2000
I sve sto ucimo posle toga
00:39
is building up towards one subject.
10
27000
3000
ide u pravcu razvijanja ka jednoj oblasti matematike.
00:42
And at top of that pyramid, it's calculus.
11
30000
4000
I na vrhu te piramide je Analiza (tj. Diferencijalni i integralni racun).
00:46
And I'm here to say
12
34000
2000
Ja vam ovde sada kazem
00:48
that I think that that is the wrong summit of the pyramid ...
13
36000
4000
da ja mislim da je to pogresan vrh piramide ...
00:52
that the correct summit -- that all of our students,
14
40000
2000
i da je oblast matematike, koju bi svaki student
00:54
every high school graduate should know --
15
42000
2000
i svaki srednjoskolac trebalo da zna,
00:56
should be statistics:
16
44000
3000
jeste Statistika.
00:59
probability and statistics.
17
47000
2000
Verovatnoca i statistika.
01:01
(Applause)
18
49000
2000
(aplauz)
01:03
I mean, don't get me wrong. Calculus is an important subject.
19
51000
4000
Mislim, nemojete pogresno da me shvatite. Analiza je jako bitna oblast matematike.
01:07
It's one of the great products of the human mind.
20
55000
2000
i vazi za veliki uspeh ljudskog roda.
01:09
The laws of nature are written in the language of calculus.
21
57000
4000
I prirodni zakoni su napisani kroz izvode i integrale.
01:13
And every student who studies math, science, engineering, economics,
22
61000
4000
I svaki student koji studira matematiku, prirodne nauke, inzinjerstvo, ekonomiju,
01:17
they should definitely learn calculus
23
65000
2000
mora da zna Analizu
01:19
by the end of their freshman year of college.
24
67000
2000
do kraja prve godine fakulteta.
01:21
But I'm here to say, as a professor of mathematics,
25
69000
3000
Ali ja sam ovde da vam kazem, kao profesor matematike,
01:24
that very few people actually use calculus
26
72000
4000
da vrlo malo ljudi koristi izvode i integrale
01:28
in a conscious, meaningful way, in their day-to-day lives.
27
76000
3000
na svestan, smislen nacin u svakodnevnom zivotu,
01:31
On the other hand,
28
79000
2000
Sa druge strane,
01:33
statistics -- that's a subject that you could,
29
81000
3000
Statistika je oblast koju mozete,
01:36
and should, use on daily basis. Right?
30
84000
3000
i koji bi trebalo da koristite na svakodnevnoj osnovi, zar ne?
01:39
It's risk. It's reward. It's randomness.
31
87000
3000
Statistika se bavi rizikom, mogucnosti dobitka, slucajnostima,
01:42
It's understanding data.
32
90000
2000
razumevanju podataka.
01:44
I think if our students, if our high school students --
33
92000
2000
Ja mislim da ako bi nasi studenti, ako bi nasi srednjoskolci,
01:46
if all of the American citizens --
34
94000
2000
ako bi svi gradjani u SAD,
01:48
knew about probability and statistics,
35
96000
3000
znali o verovatnoci i statistici,
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
36
99000
3000
mi ne bi bili u ovoj ekonomskoj krizi u kojoj smo danas.
01:54
Not only -- thank you -- not only that ...
37
102000
3000
Ne samo -- hvala -- ne samo to ...
01:57
but if it's taught properly, it can be a lot of fun.
38
105000
3000
[ali] ako bi se predavalo na pravi nacin, moze da bude vrlo zabavno.
02:00
I mean, probability and statistics,
39
108000
2000
Mislim, verovatnoca i statistika
02:02
it's the mathematics of games and gambling.
40
110000
4000
je matematika igara i kockanja,
02:06
It's analyzing trends. It's predicting the future.
41
114000
4000
analiziranja trendova pa i predvidjanja buducnosti.
02:10
Look, the world has changed
42
118000
2000
Pazite ovako ... svet se promenio
02:12
from analog to digital.
43
120000
3000
od analognog ka digitalnom.
02:15
And it's time for our mathematics curriculum to change
44
123000
3000
I vreme je da se i nas program matematike promeni
02:18
from analog to digital,
45
126000
2000
od analognog ka digitalnom.
02:20
from the more classical, continuous mathematics,
46
128000
4000
Sa dosadasnje klasicne kontinualne matematike,
02:24
to the more modern, discrete mathematics --
47
132000
3000
na moderniju, diskretnu matematiku.
02:27
the mathematics of uncertainty,
48
135000
2000
Matematiku neodredjenosti,
02:29
of randomness, of data --
49
137000
2000
slucajnosti, podataka --
02:31
that being probability and statistics.
50
139000
3000
a sve je to Verovatnoca i statistika.
02:34
In summary, instead of our students
51
142000
2000
Kao zakljucak, umesto da studenti
02:36
learning about the techniques of calculus,
52
144000
3000
uce o izvodima i integralima,
02:39
I think it would be far more significant
53
147000
3000
mislim da bi bilo mnogo vaznije
02:42
if all of them knew what two standard deviations
54
150000
3000
kad bi svi znali sta znaci odstupanje od dve standarne devijacije
02:45
from the mean means. And I mean it.
55
153000
3000
od srednje vrednosti.
02:48
Thank you very much.
56
156000
2000
Hvala puno.
02:50
(Applause)
57
158000
3000
(Aplauz)
Translated by Nenad Bozinovic
Reviewed by Jelena Ban

▲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