TED2009
Arthur Benjamin: Teach statistics before calculus!
Formula Arthura Benjamina za promjenu matematičkog obrazovnog programa
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Neko uvijek pita nastavnika matematike, "Hoću li koristiti matematičku analizu u svakodnevnom životu?". I za većinu nas, kaže Arthur Benjamin, odgovor je ne. On nudi dobar prijedlog kako izučavanje matematike učiniti relevantnim 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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Ako bi me predsjednik Obama
00:15
invited me to be the next Czar of Mathematics,
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pozvao da budem slijedeći 'šef' za matematiku,
00:19
then I would have a suggestion for him
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dao bih mu prijedlog
00:22
that I think would vastly improve
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za koji smatram da bi značajno poboljšao
00:24
the mathematics education in this country.
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matematičko obrazovanje u ovoj državi.
00:27
And it would be easy to implement
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Prijedlog koji je jednostavno provesti
00:29
and inexpensive.
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a i jeftin je.
00:31
The mathematics curriculum that we have
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Nastavni program iz matematike koji mi imamo
00:33
is based on a foundation of arithmetic and algebra.
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zasnovan je na aritmetici i algebri.
00:37
And everything we learn after that
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I sve što učimo nakon toga
00:39
is building up towards one subject.
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je razvijanje ka jednoj oblasti matematike.
00:42
And at top of that pyramid, it's calculus.
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I to je, na vrhu piramide, diferencijalno računanje.
00:46
And I'm here to say
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I ja sada ovdje želim da kažem
00:48
that I think that that is the wrong summit of the pyramid ...
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kako je to pogrešan vrh piramide ...
00:52
that the correct summit -- that all of our students,
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i da je ispravan vrh, ono što bi svaki student,
00:54
every high school graduate should know --
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svaki srednjoškolac trebao da zna,
00:56
should be statistics:
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trebala biti statistika:
00:59
probability and statistics.
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vjerovatnoća 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 pogrešno shvatiti. Matematička analiza je važna oblast.
01:07
It's one of the great products of the human mind.
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To je veliko dostignuće ljudskog uma.
01:09
The laws of nature are written in the language of calculus.
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Prirodni zakoni se izražavaju pomoću matematičke analize.
01:13
And every student who studies math, science, engineering, economics,
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I svaki student koji izučava matematiku, prirodne nauke, inženjerstvo, ekonomiju,
01:17
they should definitely learn calculus
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definitivno treba učiti matematičku 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, kao profesor matematike Vam želim reći
01:24
that very few people actually use calculus
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da samo nekolicina zaista koristi matematičku analizu
01:28
in a conscious, meaningful way, in their day-to-day lives.
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svjesno, na smislen način, u svakodnevnom životu.
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 oblast koju bi mogli
01:36
and should, use on daily basis. Right?
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i trebali koristiti svakodnevno, zar ne?
01:39
It's risk. It's reward. It's randomness.
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Statistika je procjena rizika, mogućnost dobitka, bavi se slučajnostima.
01:42
It's understanding data.
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Ona je razumjevanje podataka.
01:44
I think if our students, if our high school students --
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Smatram, ako bi naši studenti, ako bi naši srednjoškolci
01:46
if all of the American citizens --
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ako bi svi Amerikanci
01:48
knew about probability and statistics,
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razumjeli vjerovatnoću i statistiku,
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
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mi ne bi bili u ekonomskoj zbrci u kojoj smo danas.
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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ako bi se učila pravilno, moze biti jako zabavna.
02:00
I mean, probability and statistics,
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Mislim, vjerovatnoća i statistika
02:02
it's the mathematics of games and gambling.
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su matematika igre i kockanja.
02:06
It's analyzing trends. It's predicting the future.
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To je analiza trendova. Predviđanje budućnosti.
02:10
Look, the world has changed
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Vidite, svijet se promjenio
02:12
from analog to digital.
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od analognog ka digitalnom.
02:15
And it's time for our mathematics curriculum to change
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I sada je vrijeme da se i naš program izučavanja matematike promjeni
02:18
from analog to digital,
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od analognog ka digitalnom.
02:20
from the more classical, continuous mathematics,
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Iz klasične, kontinuirane matematike,
02:24
to the more modern, discrete mathematics --
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ka modernoj, diskretnoj matematici.
02:27
the mathematics of uncertainty,
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Matematici neodređenosti,
02:29
of randomness, of data --
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slučajnosti, podataka
02:31
that being probability and statistics.
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a to su vjerovatnoća i statistika.
02:34
In summary, instead of our students
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Kao zaključak, umjesto da naši studenti
02:36
learning about the techniques of calculus,
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izučavaju metode matematičke analize,
02:39
I think it would be far more significant
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smatram da bi bilo mnogo važnije
02:42
if all of them knew what two standard deviations
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ako bi svi oni znali sta znači odstupanje od dvije standardne devijacije
02:45
from the mean means. And I mean it.
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od srednje vrijednosti. I ja stojim iz ovoga.
02:48
Thank you very much.
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Hvala 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