TED2009
Arthur Benjamin: Teach statistics before calculus!
Arthur Benjaminova formula kako poboljšati obrazovanje iz matematike
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Uvijek se nađe netko tko pita profesora matematike: "Hoće li mi infinitezimalni račun ikad zatrebati u stvarnom životu?" Za većinu nas, tvrdi Arthur Benjamin, odgovor je ne. Ipak, on iznosi vrlo domišljat prijedlog koji bi matematička znanja koja stječemo trebao učiniti značajnim za korištenje u digitalnom dobu.
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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Kad bi me predsjednik Obama
00:15
invited me to be the next Czar of Mathematics,
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pozvao da postanem novi Car matematike
00:19
then I would have a suggestion for him
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tada bih mu predložio mjeru
00:22
that I think would vastly improve
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za koju vjerujem kako bi značajno poboljšala
00:24
the mathematics education in this country.
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način predavanja matematike u ovoj državi.
00:27
And it would be easy to implement
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Tu mjeru je jednostavno implementirati
00:29
and inexpensive.
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i nije preskupa.
00:31
The mathematics curriculum that we have
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Nastavni program matematke koji koristimo
00:33
is based on a foundation of arithmetic and algebra.
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temelji se na osnovama aritmetike i algebre.
00:37
And everything we learn after that
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Sve što naučimo nakon toga je
00:39
is building up towards one subject.
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usmjereno prema jednome cilju.
00:42
And at top of that pyramid, it's calculus.
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A na vrhu piramide je infinitezimalni račun.
00:46
And I'm here to say
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Iz tog razloga želim reći
00:48
that I think that that is the wrong summit of the pyramid ...
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da je po mom mišljenju vrh piramide krivo postavljen,
00:52
that the correct summit -- that all of our students,
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da ispravan vrh treba biti taj da svi naši studenti,
00:54
every high school graduate should know --
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svi maturanti u srednjim školama moraju
00:56
should be statistics:
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poznavati statistiku:
00:59
probability and statistics.
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vjerojatnost i statistiku.
01:01
(Applause)
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(Pljesak)
01:03
I mean, don't get me wrong. Calculus is an important subject.
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Nemojte me krivo shvatiti. Infinitezimalni račun je značajan.
01:07
It's one of the great products of the human mind.
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On je među najznačajnijim proizvodima ljudskog uma.
01:09
The laws of nature are written in the language of calculus.
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Zakoni prirode pisani su jezikom infinitezimalnog računa.
01:13
And every student who studies math, science, engineering, economics,
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Svaki student matematike, prirodnih znanosti, inžinjerskih disciplina ili ekonomije
01:17
they should definitely learn calculus
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trebao bi svakako ovladati infinitezimalnim računom
01:19
by the end of their freshman year of college.
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do kraja prve godine studija.
01:21
But I'm here to say, as a professor of mathematics,
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No, ovdje, kao profesor matematike, želim reći
01:24
that very few people actually use calculus
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kako vrlo malo ljudi doista koristi infinitezimalni račun
01:28
in a conscious, meaningful way, in their day-to-day lives.
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u svakodnevnom životu u svjesnom i korisnom obliku.
01:31
On the other hand,
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S druge strane,
01:33
statistics -- that's a subject that you could,
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statistika je sredstvo kojeg možemo
01:36
and should, use on daily basis. Right?
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i koje trebamo svakodnevno koristiti. Zar ne?
01:39
It's risk. It's reward. It's randomness.
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Tu je rizik. To je nagrada. To je slučajan izbor.
01:42
It's understanding data.
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To je razumijevanje podataka.
01:44
I think if our students, if our high school students --
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Kad bi naši studenti i učenici srednjih škola --
01:46
if all of the American citizens --
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svi građani Sjedinjenih Američkih Država --
01:48
knew about probability and statistics,
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poznavali osnove vjerojatnosti i statistike
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
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mi ne bismo bili u ekonomskom škripcu u kojem se nalazimo.
01:54
Not only -- thank you -- not only that ...
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Ne samo -- hvala -- ne samo to...
01:57
but if it's taught properly, it can be a lot of fun.
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Kad bismo predavali kako treba, ta materija može biti vrlo zanimljiva.
02:00
I mean, probability and statistics,
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Naime, vjerojatnost i statistika,
02:02
it's the mathematics of games and gambling.
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to je matematika igara i klađenja.
02:06
It's analyzing trends. It's predicting the future.
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Analiziranje trendova. Predviđanje budućnosti.
02:10
Look, the world has changed
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Pogledajte, svijet se promijenio
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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Vrijeme je i da se nastavni program matematike promijeni
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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Umjesto predavanja klasične matematičke analize,
02:24
to the more modern, discrete mathematics --
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treba početi predavati modernu, diskretnu matematiku.
02:27
the mathematics of uncertainty,
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Matematiku nesigurnosti,
02:29
of randomness, of data --
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slučajnosti i podataka --
02:31
that being probability and statistics.
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a to su upravo vjerojatnost i statistika.
02:34
In summary, instead of our students
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Zaključimo, umjesto da naši studenti
02:36
learning about the techniques of calculus,
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uče osnovne tehnike infinitezimalnog računa,
02:39
I think it would be far more significant
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smatram kako bi bilo puno značajnije
02:42
if all of them knew what two standard deviations
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da znaju koje su dvije stanardne devijacije
02:45
from the mean means. And I mean it.
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od srednjih vrijednosti. Doista to i mislim.
02:48
Thank you very much.
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Hvala vam lijepo.
02:50
(Applause)
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(Pljesak)
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