TED2009
Arthur Benjamin: Teach statistics before calculus!
Ang pormula ni Arthur Benjamin na babago sa pagtuturo ng sipnayan (matematika)
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Laging tinatanong ang guro ng sipnayan (matematika), "Magagamit ko ba ang calculus sa buhay ko?" At kadalasan, sabi ni Arthur Benjamin, ang sagot ay hindi. Kanyang ipinanukala ang mungkahi na gawing kapaki-pakinabang sa digital age ang itinuturo sa matematika.
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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Ngayon, kung si Pangulong Obama
00:15
invited me to be the next Czar of Mathematics,
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ay aanyayahin ako na maging susunod na Tsar ng Matematika,
00:19
then I would have a suggestion for him
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meron akong suhestiyon sa kanya
00:22
that I think would vastly improve
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na sa palagay ko ay magpapayabong
00:24
the mathematics education in this country.
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sa sistema ng edukasyon ng matematika sa bansang ito.
00:27
And it would be easy to implement
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Madali lang itong isakatuparan
00:29
and inexpensive.
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at hindi gagastos ng malaki.
00:31
The mathematics curriculum that we have
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Sa ngayon, ang kurikulum ng matematika
00:33
is based on a foundation of arithmetic and algebra.
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ay batay sa aritmetika at algebra.
00:37
And everything we learn after that
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At lahat ng mga napagaralan natin
00:39
is building up towards one subject.
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ay bilang paghahanda sa iisang asignatura.
00:42
And at top of that pyramid, it's calculus.
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Nasa tuktok ng tatsulok na ito ang calculus.
00:46
And I'm here to say
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At nandito ako upang sabihin
00:48
that I think that that is the wrong summit of the pyramid ...
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na mali ang pinili nating tugatog ng piramide ...
00:52
that the correct summit -- that all of our students,
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na ang tunay na rurok -- na dapat alam ng bawat mag-aaral,
00:54
every high school graduate should know --
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ng lahat ng gagradweyt ng haiskul --
00:56
should be statistics:
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ay estatistika:
00:59
probability and statistics.
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mga paksang kalagmitan (probabilidad) at estatistika.
01:01
(Applause)
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(Palakpakan)
01:03
I mean, don't get me wrong. Calculus is an important subject.
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'Wag niyo sanang masamain. Mahalaga ang calculus.
01:07
It's one of the great products of the human mind.
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Isa ito sa mga pinakamahusay na inimbento ng tao.
01:09
The laws of nature are written in the language of calculus.
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Naiintindihan natin ang kalikasan gamit ang calculus.
01:13
And every student who studies math, science, engineering, economics,
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At bawat mag-aaral ng sipnayan, agham, inhinyeriya, ekonomika,
01:17
they should definitely learn calculus
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dapat alam ang calculus
01:19
by the end of their freshman year of college.
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pagkatapos ng unang taon sa kolehiyo.
01:21
But I'm here to say, as a professor of mathematics,
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Ngunit andito upang sabihin na, bilang isang propesor ng matematika,
01:24
that very few people actually use calculus
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iilang tao lang ang gumagamit ng calculus
01:28
in a conscious, meaningful way, in their day-to-day lives.
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sa bawat araw, sa makabuluhan at kusang mga bagay.
01:31
On the other hand,
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Sa kabilang banda,
01:33
statistics -- that's a subject that you could,
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ang estatistika -- isang asignatura na maaari,
01:36
and should, use on daily basis. Right?
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at marapat, gamitin araw-araw. Tama?
01:39
It's risk. It's reward. It's randomness.
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Ito'y pagtukoy sa panganib, sa gantimpala, sa walang kasiguraduhan.
01:42
It's understanding data.
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Ito'y tungkol sa pag-intindi ng datos.
01:44
I think if our students, if our high school students --
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Sa tingin ko, kung sana bawat mag-aaral sa haiskul --
01:46
if all of the American citizens --
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kung sana lahat ng mga taga-Amerika --
01:48
knew about probability and statistics,
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alam ang probabilidad at estatistika,
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
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hindi siguro magkakagulo ang ekonomiya natin ngayon.
01:54
Not only -- thank you -- not only that ...
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Hindi lang -- salamat -- hindi lang 'yon ...
01:57
but if it's taught properly, it can be a lot of fun.
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[pero] kung wasto ang paraan ng pagtuturo nito, maaaring maging kasiya-siya ito.
02:00
I mean, probability and statistics,
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Kung tutuusin, ang probabilidad at estatistika,
02:02
it's the mathematics of games and gambling.
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ay ang lengwahe ng paglalaro at pagsusugal.
02:06
It's analyzing trends. It's predicting the future.
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Tungkol ito sa pag-arok ng mga nagaganap at ng hinaharap.
02:10
Look, the world has changed
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Nagbago na ang mundo
02:12
from analog to digital.
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mula analog patungong digital.
02:15
And it's time for our mathematics curriculum to change
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Panahon na upang palitan natin ang kurikulum ng matematika
02:18
from analog to digital,
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sa digital mula sa analog.
02:20
from the more classical, continuous mathematics,
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Mula sa makalumang 'continuous mathematics',
02:24
to the more modern, discrete mathematics --
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tungo sa makabagong 'discrete mathematics.'
02:27
the mathematics of uncertainty,
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Ang sipnayan ng walang katiyakan
02:29
of randomness, of data --
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ng mga datos --
02:31
that being probability and statistics.
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'yon bilang pag-aaral ng probabilidad at estatistika.
02:34
In summary, instead of our students
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Sa paglalagom, sa halip na nagsasanay
02:36
learning about the techniques of calculus,
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ang mga estudyante ng calculus,
02:39
I think it would be far more significant
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tingin ko'y mas mainam
02:42
if all of them knew what two standard deviations
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kung kabisado nila ang ibig sabihin ng
02:45
from the mean means. And I mean it.
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"two standard deviations from the mean". Seryoso ako.
02:48
Thank you very much.
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Maraming salamat po.
02:50
(Applause)
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(Palakpakan)
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