TED2009
Arthur Benjamin: Teach statistics before calculus!
Matematična izobrazba po formuli Arthurja Benjamina
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Vedno se najde nekdo, ki vpraša učitelja matematike: "Ali bom še kdaj v življenju uporabljal odvode in integrale?". Arthur Benjamin pravi, da je za večino od nas odgovor ne. Zato predstavi drzen predlog, kako bi matematično izobrazbo približal digitalni dobi.
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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Če bi me predsednik Obama
00:15
invited me to be the next Czar of Mathematics,
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izbral za naslednjega carja matematike,
00:19
then I would have a suggestion for him
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bi zanj imel predlog,
00:22
that I think would vastly improve
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ki bi po mojem mnenju znatno izboljšal
00:24
the mathematics education in this country.
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raven znanja matematike v naši državi.
00:27
And it would be easy to implement
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Spremembe bi lahko izvedli enostavno
00:29
and inexpensive.
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in poceni.
00:31
The mathematics curriculum that we have
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Matematični curriculum, ki ga imamo
00:33
is based on a foundation of arithmetic and algebra.
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je osnovan na temeljih aritmetike in algebre.
00:37
And everything we learn after that
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Vse, kar se po tem naučimo
00:39
is building up towards one subject.
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se usmerja proti enemu samemu predmetu.
00:42
And at top of that pyramid, it's calculus.
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Na vrhu te piramide so odvodi in integrali.
00:46
And I'm here to say
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Tu sem, da povem,
00:48
that I think that that is the wrong summit of the pyramid ...
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da je po mojem mnenju to napačen vrh piramide...
00:52
that the correct summit -- that all of our students,
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in da bi pravilen vrh -- to kar bi morali vsi učenci,
00:54
every high school graduate should know --
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in vsi tisti, ki so zaključili srednjo šolo vedeti --
00:56
should be statistics:
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morala biti statistika:
00:59
probability and statistics.
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verjetnost in statistika.
01:01
(Applause)
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(Aplavz)
01:03
I mean, don't get me wrong. Calculus is an important subject.
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Ne me narobe razumeti. Mislim, da so odvodi in integrali pomemben predmet.
01:07
It's one of the great products of the human mind.
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So eden izmed velikih produktov človeškega uma.
01:09
The laws of nature are written in the language of calculus.
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Zakoni narave so napisani v računskem jeziku.
01:13
And every student who studies math, science, engineering, economics,
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Vsi študentje, ki študirajo matematiko, znanost, inženirstvo, ekonomijo,
01:17
they should definitely learn calculus
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bi se morali naučiti reševati račune
01:19
by the end of their freshman year of college.
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do konca prvega letnika faksa.
01:21
But I'm here to say, as a professor of mathematics,
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Ampak, tukaj sem da povem, kot profesor matematike,
01:24
that very few people actually use calculus
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da je malo takih ljudi, ki dejansko uporablja račune
01:28
in a conscious, meaningful way, in their day-to-day lives.
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na zaveden in smiseln način v vsakdanjem življenju.
01:31
On the other hand,
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Po drugi strani,
01:33
statistics -- that's a subject that you could,
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statistika -- to je predmet, katerega bi lahko
01:36
and should, use on daily basis. Right?
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in bi morali uporabljati dnevno. Je tako?
01:39
It's risk. It's reward. It's randomness.
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So tveganja. So nagrade. So naključja.
01:42
It's understanding data.
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Gre za razumevanje podatkov.
01:44
I think if our students, if our high school students --
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Mislim, da če bi učenci, naši srednješolski učenci--
01:46
if all of the American citizens --
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če bi vsi državljani Amerike --
01:48
knew about probability and statistics,
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vedeli o verjetnosti in statistiki,
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
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se danes ne bi znašli v gospodarski zmešnjavi.
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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ampak, če je primerno poučevana, je lahko tudi zabavna.
02:00
I mean, probability and statistics,
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Mislim, da je verjetnost in statistika
02:02
it's the mathematics of games and gambling.
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matematika iger in tveganja.
02:06
It's analyzing trends. It's predicting the future.
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Je analiza trendov. Je napoved prihodnosti.
02:10
Look, the world has changed
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Poglejte, svet se je spremenil
02:12
from analog to digital.
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od analognega k digitalnemu.
02:15
And it's time for our mathematics curriculum to change
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Čas je, da se tudi naš matematični curriculum spremeni
02:18
from analog to digital,
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od analognega k digitalnemu.
02:20
from the more classical, continuous mathematics,
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Od klasične, zvezne matematike,
02:24
to the more modern, discrete mathematics --
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do bolj moderne, diskretne matematike.
02:27
the mathematics of uncertainty,
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Matematike negotovosti,
02:29
of randomness, of data --
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naključnosti, podatkov --
02:31
that being probability and statistics.
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in to je verjetnost in statistika.
02:34
In summary, instead of our students
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Če obnovim, namesto da se naši učenci
02:36
learning about the techniques of calculus,
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učijo o tehnikah računanja,
02:39
I think it would be far more significant
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mislim, da bi bilo dosti bolj smotrno,
02:42
if all of them knew what two standard deviations
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če bi vsi učenci vedeli kaj pomenita dva standardna odklona
02:45
from the mean means. And I mean it.
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od povprečja. In to je pomembno.
02:48
Thank you very much.
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Najlepša hvala.
02:50
(Applause)
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(Aplavz)
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