ABOUT THE SPEAKER
Arthur Benjamin - Mathemagician
Using 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").

More profile about the speaker
Arthur Benjamin | Speaker | TED.com
TED2009

Arthur Benjamin: Teach statistics before calculus!

Ang pormula ni Arthur Benjamin na babago sa pagtuturo ng sipnayan (matematika)

Filmed:
2,602,929 views

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.
- Mathemagician
Using daring displays of algorithmic trickery, lightning calculator and number wizard Arthur Benjamin mesmerizes audiences with mathematical mystery and beauty. Full bio

Double-click (or triple-click) the English transcript below to play the video.

00:12
Now, if PresidentNi Pangulong ObamaObama
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Ngayon, kung si Pangulong Obama
00:15
invitedInanyayahan me to be the nextsusunod CzarCzar of MathematicsMatematika,
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ay aanyayahin ako na maging susunod na Tsar ng Matematika,
00:19
then I would have a suggestionmungkahi for him
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meron akong suhestiyon sa kanya
00:22
that I think would vastlymalaking-malaki improvemapabuti ang
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na sa palagay ko ay magpapayabong
00:24
the mathematicsmatematika educationedukasyon in this countrybansa.
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sa sistema ng edukasyon ng matematika sa bansang ito.
00:27
And it would be easymadaling to implementipatupad ang
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Madali lang itong isakatuparan
00:29
and inexpensivemurang.
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at hindi gagastos ng malaki.
00:31
The mathematicsmatematika curriculumkurikulum that we have
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Sa ngayon, ang kurikulum ng matematika
00:33
is basedbatay on a foundationpundasyon of arithmeticaritmetika and algebraalgebra.
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ay batay sa aritmetika at algebra.
00:37
And everything we learnmatuto after that
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At lahat ng mga napagaralan natin
00:39
is buildinggusali up towardspatungo sa one subjectpaksa.
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ay bilang paghahanda sa iisang asignatura.
00:42
And at toptuktok of that pyramidpyramid, it's calculuskalkulus.
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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 wrongmali summittuktok ng bundok of the pyramidpyramid ...
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na mali ang pinili nating tugatog ng piramide ...
00:52
that the correctitama ang mga summittuktok ng bundok -- that all of our studentsmga estudyante,
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na ang tunay na rurok -- na dapat alam ng bawat mag-aaral,
00:54
everybawat highmataas schoolpaaralan graduatenagtapos should know --
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ng lahat ng gagradweyt ng haiskul --
00:56
should be statisticsIstatistika:
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ay estatistika:
00:59
probabilitybagay na maaaring mangyari and statisticsIstatistika.
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mga paksang kalagmitan (probabilidad) at estatistika.
01:01
(ApplausePalakpakan)
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(Palakpakan)
01:03
I mean, don't get me wrongmali. CalculusKalkulus is an importantmahalagang subjectpaksa.
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'Wag niyo sanang masamain. Mahalaga ang calculus.
01:07
It's one of the great productsmga produkto of the humantao mindisip.
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Isa ito sa mga pinakamahusay na inimbento ng tao.
01:09
The lawsmga batas of naturekalikasan are writtennakasulat na in the languagewika of calculuskalkulus.
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Naiintindihan natin ang kalikasan gamit ang calculus.
01:13
And everybawat studentestudyante who studiesmga pag-aaral mathmatematika, scienceagham, engineeringengineering, economicseconomics,
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At bawat mag-aaral ng sipnayan, agham, inhinyeriya, ekonomika,
01:17
they should definitelytalagang learnmatuto calculuskalkulus
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dapat alam ang calculus
01:19
by the endkatapusan of theirkanilang freshmanfreshman yeartaon of collegekolehiyo.
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pagkatapos ng unang taon sa kolehiyo.
01:21
But I'm here to say, as a professorpropesor of mathematicsmatematika,
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Ngunit andito upang sabihin na, bilang isang propesor ng matematika,
01:24
that very fewilang people actuallytalagang use calculuskalkulus
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iilang tao lang ang gumagamit ng calculus
01:28
in a conscioussadyang, meaningfulmakabuluhang way, in theirkanilang day-to-dayaraw-araw livesbuhay.
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sa bawat araw, sa makabuluhan at kusang mga bagay.
01:31
On the other handkamay,
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Sa kabilang banda,
01:33
statisticsIstatistika -- that's a subjectpaksa that you could,
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ang estatistika -- isang asignatura na maaari,
01:36
and should, use on dailyaraw-araw basisbatayan. Right?
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at marapat, gamitin araw-araw. Tama?
01:39
It's riskpanganib. It's rewardgantimpala. It's randomnessrandomness.
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Ito'y pagtukoy sa panganib, sa gantimpala, sa walang kasiguraduhan.
01:42
It's understandingpag-unawa datadatos.
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Ito'y tungkol sa pag-intindi ng datos.
01:44
I think if our studentsmga estudyante, if our highmataas schoolpaaralan studentsmga estudyante --
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Sa tingin ko, kung sana bawat mag-aaral sa haiskul --
01:46
if all of the AmericanAmerikano citizensmamamayan --
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kung sana lahat ng mga taga-Amerika --
01:48
knewAlam about probabilitybagay na maaaring mangyari and statisticsIstatistika,
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alam ang probabilidad at estatistika,
01:51
we wouldn'thindi be in the economicpangkabuhayan messgulo that we're in todayngayon. (LaughterTawanan) (ApplausePalakpakan)
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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 taughtItinuro properlynang wasto, it can be a lot of funmasaya.
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[pero] kung wasto ang paraan ng pagtuturo nito, maaaring maging kasiya-siya ito.
02:00
I mean, probabilitybagay na maaaring mangyari and statisticsIstatistika,
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Kung tutuusin, ang probabilidad at estatistika,
02:02
it's the mathematicsmatematika of gamesmga laro and gamblingpagsusugal.
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ay ang lengwahe ng paglalaro at pagsusugal.
02:06
It's analyzingpagsusuri ng trendsuso. It's predictingpaghula the futurehinaharap.
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Tungkol ito sa pag-arok ng mga nagaganap at ng hinaharap.
02:10
Look, the worldmundo has changednagbago
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Nagbago na ang mundo
02:12
from analoganalog to digitaldigital.
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mula analog patungong digital.
02:15
And it's time for our mathematicsmatematika curriculumkurikulum to changepagbabago
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Panahon na upang palitan natin ang kurikulum ng matematika
02:18
from analoganalog to digitaldigital,
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sa digital mula sa analog.
02:20
from the more classicalklasiko, continuoustuloy-tuloy mathematicsmatematika,
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Mula sa makalumang 'continuous mathematics',
02:24
to the more modernmakabagong, discretemagkaiba mathematicsmatematika --
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tungo sa makabagong 'discrete mathematics.'
02:27
the mathematicsmatematika of uncertaintykawalan ng katiyakan,
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Ang sipnayan ng walang katiyakan
02:29
of randomnessrandomness, of datadatos --
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ng mga datos --
02:31
that beingang pagiging probabilitybagay na maaaring mangyari and statisticsIstatistika.
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'yon bilang pag-aaral ng probabilidad at estatistika.
02:34
In summaryBuod, insteadsa halip of our studentsmga estudyante
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Sa paglalagom, sa halip na nagsasanay
02:36
learningpagkatuto about the techniquesmga pamamaraan of calculuskalkulus,
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ang mga estudyante ng calculus,
02:39
I think it would be farmalayo more significantmakabuluhang
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tingin ko'y mas mainam
02:42
if all of them knewAlam what two standardpamantayan deviationspaglihis
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kung kabisado nila ang ibig sabihin ng
02:45
from the mean meansibig sabihin ay. 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
(ApplausePalakpakan)
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(Palakpakan)
Translated by Schubert Malbas
Reviewed by Polimar Balatbat

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ABOUT THE SPEAKER
Arthur Benjamin - Mathemagician
Using 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").

More profile about the speaker
Arthur Benjamin | Speaker | TED.com