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!

Arthur Benjamin'i valem matemaatika hariduse muutmiseks

Filmed:
2,496,213 views

Alati küsib keegi matemaatika õpetajalt: "Kas ma hakkan reaalses elus matemaatilist analüüsi kasutama?" Ja meist enamuse jaoks, ütleb Arthur Benjamin, on vastus ei. Ta pakub välja julge ettepaneku, kuidas muuta matemaatika haridus digitaalsel ajastul asjakohaseks.
- 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 the English transcript below to play the video.

00:12
Now, if PresidentPresident ObamaObama
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Nii, kui President Obama
00:15
invitedkutsutud me to be the nextjärgmine CzarTsaar of MathematicsMatemaatika,
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paluks mul olla järgmine Matemaatika Tsaar,
00:19
then I would have a suggestionsoovitus for him
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siis mul oleks talle ettepanek,
00:22
that I think would vastlysuuresti improveparanema
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mis minu arvates täiustaks tunduvalt
00:24
the mathematicsmatemaatika educationharidus in this countryriik.
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matemaatika alast haridust siin riigis.
00:27
And it would be easylihtne to implementrakendama
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Ja seda oleks lihtne rakendada
00:29
and inexpensiveatskirus Citylies City Strastart.
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ega oleks sugugi kallis.
00:31
The mathematicsmatemaatika curriculumõppekava that we have
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Praegune matemaatika õppekava,
00:33
is basedpõhineb on a foundationsihtasutus of arithmeticaritmeetika and algebraalgebra.
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põhineb aritmeetika ja algebra alustel.
00:37
And everything we learnõppida after that
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Ja kõik, mida me sellele järgnevalt õpime,
00:39
is buildinghoone up towardssuunas one subjectteema.
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on üles ehitatud ühe teema suunas.
00:42
And at topüleval of that pyramidpüramiid, it's calculusmatemaatiline.
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Ja selle püramiidi tipus on matemaatiline analüüs.
00:46
And I'm here to say
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Ja ma tahan öelda,
00:48
that I think that that is the wrongvalesti summittippkohtumine of the pyramidpüramiid ...
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et ma arvan, et see on püramiidi vale tipp...
00:52
that the correctkorrektne summittippkohtumine -- that all of our studentsõpilased,
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et õige tipp - mida kõik meie õpilased,
00:54
everyigaüks highkõrge schoolkooli graduatelõpetama should know --
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iga keskooli lõpetanu peaks teadma --
00:56
should be statisticsstatistika:
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peaks olema statistika:
00:59
probabilitytõenäosus and statisticsstatistika.
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tõenäosus ja statistika.
01:01
(ApplauseAplaus)
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(Aplaus)
01:03
I mean, don't get me wrongvalesti. CalculusMatemaatiline is an importantoluline subjectteema.
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Tähendab, ärge saage minust valesti aru. Matemaatiline analüüs on tähtis teema.
01:07
It's one of the great productstooted of the humaninimene mindmeeles.
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See on inimese mõistuse üks suurtest viljadest.
01:09
The lawsseadused of natureloodus are writtenkirjutatud in the languagekeel of calculusmatemaatiline.
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Loodusseadused on kirjutatud matemaatilise analüüsi keeles.
01:13
And everyigaüks studentüliõpilane who studiesuuringud mathmatemaatika, scienceteadus, engineeringinsener, economicsmajandus,
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Ja iga õpilane, kes õpib matemaatikat, teadust, tehnikat, majandusteadust,
01:17
they should definitelykindlasti learnõppida calculusmatemaatiline
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peaks kindlasti ära õppima matemaatilise analüüsi
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by the endlõpp of theiroma freshmanuustulnuk yearaastas of collegekolledž.
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oma kõrgkooli õpingute esimese aasta lõpuks.
01:21
But I'm here to say, as a professorprofessor of mathematicsmatemaatika,
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Aga ma olen siin, et öelda kui matemaatika professor,
01:24
that very fewvähe people actuallytegelikult use calculusmatemaatiline
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et tegelikult kasutavad väga vähesed inimesed matemaatilist analüüsi
01:28
in a consciousteadlik, meaningfulmõttekas way, in theiroma day-to-daypäevast päeva liveselab.
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teadlikult ja tähendusrikkalt oma igapäeva elus.
01:31
On the other handkäsi,
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Teisest küljest,
01:33
statisticsstatistika -- that's a subjectteema that you could,
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statistika - see on teema, mida sa saaksid
01:36
and should, use on dailyiga päev basisalus. Right?
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ja peaksid kasutama igapäevaselt. Õigus?
01:39
It's riskrisk. It's rewardauhind. It's randomnessjuhuslikkus.
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See on risk. See on preemia. See on juhuslikkus.
01:42
It's understandingmõistmine dataandmed.
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See on andmetest aru saamine.
01:44
I think if our studentsõpilased, if our highkõrge schoolkooli studentsõpilased --
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Ma arvan, et kui meie õpilased, kui meie keskkooli õpilased --
01:46
if all of the AmericanAmeerika citizenskodanikud --
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kui kõik Ameerika kodanikud --
01:48
knewteadis about probabilitytõenäosus and statisticsstatistika,
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teaksid tõenäosusest ja statistikast,
01:51
we wouldn'tei oleks be in the economicmajanduslik messjama that we're in todaytäna. (LaughterNaer) (ApplauseAplaus)
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siis poleks me praegu selles majanduslikus segaduses.
01:54
Not only -- thank you -- not only that ...
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Mitte ainult -- tänan -- mitte ainult et....
01:57
but if it's taughtõpetas properlykorralikult, it can be a lot of funlõbus.
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[aga] kui seda õpetataks õigesti, võib see olla väga lõbus.
02:00
I mean, probabilitytõenäosus and statisticsstatistika,
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Tähendab, tõenäosus ja statistika,
02:02
it's the mathematicsmatemaatika of gamesmängud and gamblingHasartmängud.
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on mängude ja hasartmängude matemaatika.
02:06
It's analyzinganalüüsides trendssuundumused. It's predictingprognoosimine the futuretulevik.
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See on trendide analüüs. See on tuleviku ennustamine.
02:10
Look, the worldmaailm has changedmuudetud
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Vaadake, maailm on muutunud
02:12
from analoganaloog to digitaldigitaalne.
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analoogist digitaalseks.
02:15
And it's time for our mathematicsmatemaatika curriculumõppekava to changemuutus
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Ja on aeg meie matemaatika õppekaval muutuda
02:18
from analoganaloog to digitaldigitaalne,
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analoogist digitaalseks.
02:20
from the more classicalklassikalise, continuouspidev mathematicsmatemaatika,
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Rohkem klassikalisest, pidevast matemaatikast,
02:24
to the more modernkaasaegne, discretediskreetne mathematicsmatemaatika --
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rohkem modernseks, diskreetseks matemaatikaks.
02:27
the mathematicsmatemaatika of uncertaintyebakindlus,
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Ebamäärasuse matemaatika
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of randomnessjuhuslikkus, of dataandmed --
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juhuslikkuse matemaatika, andmete matemaatika --
02:31
that beingolemine probabilitytõenäosus and statisticsstatistika.
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ja see on tõenäosus ja statistika.
02:34
In summaryKokkuvõte, insteadselle asemel of our studentsõpilased
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Kokkuvõttes, selle asemel, et meie õpilased
02:36
learningõppimine about the techniquestehnikaid of calculusmatemaatiline,
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õpivad matemaatilise analüüsi tehnikaid,
02:39
I think it would be farkaugel more significantmärkimisväärne
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oleks minu arvates palju olulisem
02:42
if all of them knewteadis what two standardstandard deviationskõrvalekalded
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kui kõik nad teaksid, mida kaks standardhälvet
02:45
from the mean meanstähendab. And I mean it.
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keskväärtusest tähendab. Ja ma mõtlen seda tõsiselt.
02:48
Thank you very much.
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Tänan teid väga.
02:50
(ApplauseAplaus)
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(Aplaus)
Translated by Kadri Salus
Reviewed by Allan Paiste

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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