TED2009
Arthur Benjamin: Teach statistics before calculus!
Promena matematičkog obrazovnog programa po formuli Artura Bendžamina
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Profesora matematike uvek pitaju: "Da li ću ikada u životu koristiti matematičku analizu (izvode i integrale)?" Artur Bendžamin poručuje da je za većinu nas odgovor - ne. On takođe iznosi smeo predlog o tome kako da učinimo matematički obrazovni program relevantnim u vreme digitalnog sveta.
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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Ako bi me predsednik Obama
00:15
invited me to be the next Czar of Mathematics,
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pozvao da budem naredni Car Matematike,
00:19
then I would have a suggestion for him
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imao bih predlog za njega,
00:22
that I think would vastly improve
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za koji mislim da bi značajno poboljšao
00:24
the mathematics education in this country.
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matematičku obrazovanost u ovoj zemlji.
00:27
And it would be easy to implement
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Takođe, implementacija bi bila laka
00:29
and inexpensive.
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i jeftina.
00:31
The mathematics curriculum that we have
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Nastavni program matematike koji imamo
00:33
is based on a foundation of arithmetic and algebra.
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je baziran na osnovi sačinjenoj od aritmetike i algebre.
00:37
And everything we learn after that
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Sve što naučimo posle toga
00:39
is building up towards one subject.
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nas priprema prema jednoj oblasti.
00:42
And at top of that pyramid, it's calculus.
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Na vrhu te piramide je matematička analiza (izvodi i integrali).
00:46
And I'm here to say
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Ovde sam da bih vam rekao
00:48
that I think that that is the wrong summit of the pyramid ...
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da mislim da je to pogrešan izbor za vrh piramide...
00:52
that the correct summit -- that all of our students,
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da bi pravi vrh -- onaj koji bi svi naši učenici,
00:54
every high school graduate should know --
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svi svršeni srednjoškolci trebali da znaju --
00:56
should be statistics:
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trebala biti statistika,
00:59
probability and statistics.
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verovatnoća i statistika.
01:01
(Applause)
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(Aplauz)
01:03
I mean, don't get me wrong. Calculus is an important subject.
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Nemojte me shvatiti pogrešno. Analiza je bitna oblast matematike.
01:07
It's one of the great products of the human mind.
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Ona predstavlja fantastičan proizvod ljudskog uma.
01:09
The laws of nature are written in the language of calculus.
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Zakoni prirode su ispisani jezikom matematičke analize.
01:13
And every student who studies math, science, engineering, economics,
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I svaki student koji studira matematiku, prirodne nauke, inženjerstvo, ekonomiju
01:17
they should definitely learn calculus
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mora naučiti analizu
01:19
by the end of their freshman year of college.
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do kraja prve godine fakulteta.
01:21
But I'm here to say, as a professor of mathematics,
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Ali ovom prilikom bih theo da kažem, kao profesor matematike,
01:24
that very few people actually use calculus
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da veoma mali broj ljudi zapravo koristi analizu
01:28
in a conscious, meaningful way, in their day-to-day lives.
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na svestan i smislen način, u svakodnevnom životu.
01:31
On the other hand,
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Sa druge strane,
01:33
statistics -- that's a subject that you could,
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statistika je oblast koju možete
01:36
and should, use on daily basis. Right?
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i treba da koristite u svakodnevnom životu, zar ne?
01:39
It's risk. It's reward. It's randomness.
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Proučavanje rizika, mogućnost dobitka, nasumične pojave,
01:42
It's understanding data.
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razumevanje podataka - to je statistika.
01:44
I think if our students, if our high school students --
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Mislim da kada bi naši učenici, naši srednjoškolci --
01:46
if all of the American citizens --
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kada bi svi građani Amerike --
01:48
knew about probability and statistics,
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znali osnove verovatnoće i statistike,
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
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ne bismo bili u ovoj ekonomskoj zbrci u kojoj smo danas.
01:54
Not only -- thank you -- not only that ...
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Ne samo -- hvala vam -- ne samo to,
01:57
but if it's taught properly, it can be a lot of fun.
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već ako se predaju na pravi način, može biti veoma zabavno.
02:00
I mean, probability and statistics,
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Verovatnoća i statistika,
02:02
it's the mathematics of games and gambling.
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one predstavljaju matematiku igara i kockanja,
02:06
It's analyzing trends. It's predicting the future.
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analiziranja trendova, predviđanja budućnosti.
02:10
Look, the world has changed
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Vidite, svet se promenio
02:12
from analog to digital.
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iz analognog u digitalni.
02:15
And it's time for our mathematics curriculum to change
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Vreme je da se naš nastavni program matematike promeni
02:18
from analog to digital,
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iz analognog u digitalni.
02:20
from the more classical, continuous mathematics,
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Sa više klasične, kontinualne matematike,
02:24
to the more modern, discrete mathematics --
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u preovlađujuće modernu, diskretnu matematiku.
02:27
the mathematics of uncertainty,
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Matematiku neodređenosti,
02:29
of randomness, of data --
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nasumičnih događaja, podataka --
02:31
that being probability and statistics.
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a sve to je verovatnoća i statistika.
02:34
In summary, instead of our students
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Sve u svemu, umesto da naši učenici
02:36
learning about the techniques of calculus,
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uče o tehnikama matematičke analize,
02:39
I think it would be far more significant
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mislim da bi mnogo značajnije bilo
02:42
if all of them knew what two standard deviations
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kada bi svi oni znali šta odstupanje od dve standardne devijacije
02:45
from the mean means. And I mean it.
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od srednje vrednosti označava. Zaista sam ubeđen u to.
02:48
Thank you very much.
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Hvala vam puno.
02:50
(Applause)
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(Aplauz)
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