TED2009
Arthur Benjamin: Teach statistics before calculus!
Arthur Benjamin'i valem matemaatika hariduse muutmiseks
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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.
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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Nii, kui President Obama
00:15
invited me to be the next Czar of Mathematics,
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paluks mul olla järgmine Matemaatika Tsaar,
00:19
then I would have a suggestion for him
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siis mul oleks talle ettepanek,
00:22
that I think would vastly improve
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mis minu arvates täiustaks tunduvalt
00:24
the mathematics education in this country.
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matemaatika alast haridust siin riigis.
00:27
And it would be easy to implement
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Ja seda oleks lihtne rakendada
00:29
and inexpensive.
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ega oleks sugugi kallis.
00:31
The mathematics curriculum that we have
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Praegune matemaatika õppekava,
00:33
is based on a foundation of arithmetic and algebra.
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põhineb aritmeetika ja algebra alustel.
00:37
And everything we learn after that
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Ja kõik, mida me sellele järgnevalt õpime,
00:39
is building up towards one subject.
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on üles ehitatud ühe teema suunas.
00:42
And at top of that pyramid, it's calculus.
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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 wrong summit of the pyramid ...
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et ma arvan, et see on püramiidi vale tipp...
00:52
that the correct summit -- that all of our students,
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et õige tipp - mida kõik meie õpilased,
00:54
every high school graduate should know --
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iga keskooli lõpetanu peaks teadma --
00:56
should be statistics:
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peaks olema statistika:
00:59
probability and statistics.
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tõenäosus ja statistika.
01:01
(Applause)
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(Aplaus)
01:03
I mean, don't get me wrong. Calculus is an important subject.
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Tähendab, ärge saage minust valesti aru. Matemaatiline analüüs on tähtis teema.
01:07
It's one of the great products of the human mind.
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See on inimese mõistuse üks suurtest viljadest.
01:09
The laws of nature are written in the language of calculus.
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Loodusseadused on kirjutatud matemaatilise analüüsi keeles.
01:13
And every student who studies math, science, engineering, economics,
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Ja iga õpilane, kes õpib matemaatikat, teadust, tehnikat, majandusteadust,
01:17
they should definitely learn calculus
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peaks kindlasti ära õppima matemaatilise analüüsi
01:19
by the end of their freshman year of college.
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oma kõrgkooli õpingute esimese aasta lõpuks.
01:21
But I'm here to say, as a professor of mathematics,
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Aga ma olen siin, et öelda kui matemaatika professor,
01:24
that very few people actually use calculus
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et tegelikult kasutavad väga vähesed inimesed matemaatilist analüüsi
01:28
in a conscious, meaningful way, in their day-to-day lives.
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teadlikult ja tähendusrikkalt oma igapäeva elus.
01:31
On the other hand,
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Teisest küljest,
01:33
statistics -- that's a subject that you could,
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statistika - see on teema, mida sa saaksid
01:36
and should, use on daily basis. Right?
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ja peaksid kasutama igapäevaselt. Õigus?
01:39
It's risk. It's reward. It's randomness.
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See on risk. See on preemia. See on juhuslikkus.
01:42
It's understanding data.
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See on andmetest aru saamine.
01:44
I think if our students, if our high school students --
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Ma arvan, et kui meie õpilased, kui meie keskkooli õpilased --
01:46
if all of the American citizens --
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kui kõik Ameerika kodanikud --
01:48
knew about probability and statistics,
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teaksid tõenäosusest ja statistikast,
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
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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 taught properly, it can be a lot of fun.
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[aga] kui seda õpetataks õigesti, võib see olla väga lõbus.
02:00
I mean, probability and statistics,
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Tähendab, tõenäosus ja statistika,
02:02
it's the mathematics of games and gambling.
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on mängude ja hasartmängude matemaatika.
02:06
It's analyzing trends. It's predicting the future.
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See on trendide analüüs. See on tuleviku ennustamine.
02:10
Look, the world has changed
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Vaadake, maailm on muutunud
02:12
from analog to digital.
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analoogist digitaalseks.
02:15
And it's time for our mathematics curriculum to change
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Ja on aeg meie matemaatika õppekaval muutuda
02:18
from analog to digital,
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analoogist digitaalseks.
02:20
from the more classical, continuous mathematics,
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Rohkem klassikalisest, pidevast matemaatikast,
02:24
to the more modern, discrete mathematics --
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rohkem modernseks, diskreetseks matemaatikaks.
02:27
the mathematics of uncertainty,
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Ebamäärasuse matemaatika
02:29
of randomness, of data --
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juhuslikkuse matemaatika, andmete matemaatika --
02:31
that being probability and statistics.
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ja see on tõenäosus ja statistika.
02:34
In summary, instead of our students
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Kokkuvõttes, selle asemel, et meie õpilased
02:36
learning about the techniques of calculus,
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õpivad matemaatilise analüüsi tehnikaid,
02:39
I think it would be far more significant
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oleks minu arvates palju olulisem
02:42
if all of them knew what two standard deviations
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kui kõik nad teaksid, mida kaks standardhälvet
02:45
from the mean means. 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
(Applause)
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(Aplaus)
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