Arthur Benjamin: Teach statistics before calculus!

Prevodilac: Stevan Radanovic Lektor: Radica Stojanović

Now, if President Obama

Ako bi me predsednik Obama

invited me to be the next Czar of Mathematics,

pozvao da budem naredni Car Matematike,

then I would have a suggestion for him

imao bih predlog za njega,

that I think would vastly improve

za koji mislim da bi značajno poboljšao

the mathematics education in this country.

matematičku obrazovanost u ovoj zemlji.

And it would be easy to implement

Takođe, implementacija bi bila laka

and inexpensive.

i jeftina.

The mathematics curriculum that we have

Nastavni program matematike koji imamo

is based on a foundation of arithmetic and algebra.

je baziran na osnovi sačinjenoj od aritmetike i algebre.

And everything we learn after that

Sve što naučimo posle toga

is building up towards one subject.

nas priprema prema jednoj oblasti.

And at top of that pyramid, it's calculus.

Na vrhu te piramide je matematička analiza (izvodi i integrali).

And I'm here to say

Ovde sam da bih vam rekao

that I think that that is the wrong summit of the pyramid ...

da mislim da je to pogrešan izbor za vrh piramide...

that the correct summit -- that all of our students,

da bi pravi vrh -- onaj koji bi svi naši učenici,

every high school graduate should know --

svi svršeni srednjoškolci trebali da znaju --

should be statistics:

trebala biti statistika,

probability and statistics.

verovatnoća i statistika.

(Applause)

(Aplauz)

I mean, don't get me wrong. Calculus is an important subject.

Nemojte me shvatiti pogrešno. Analiza je bitna oblast matematike.

It's one of the great products of the human mind.

Ona predstavlja fantastičan proizvod ljudskog uma.

The laws of nature are written in the language of calculus.

Zakoni prirode su ispisani jezikom matematičke analize.

And every student who studies math, science, engineering, economics,

I svaki student koji studira matematiku, prirodne nauke, inženjerstvo, ekonomiju

they should definitely learn calculus

mora naučiti analizu

by the end of their freshman year of college.

do kraja prve godine fakulteta.

But I'm here to say, as a professor of mathematics,

Ali ovom prilikom bih theo da kažem, kao profesor matematike,

that very few people actually use calculus

da veoma mali broj ljudi zapravo koristi analizu

in a conscious, meaningful way, in their day-to-day lives.

na svestan i smislen način, u svakodnevnom životu.

On the other hand,

Sa druge strane,

statistics -- that's a subject that you could,

statistika je oblast koju možete

and should, use on daily basis. Right?

i treba da koristite u svakodnevnom životu, zar ne?

It's risk. It's reward. It's randomness.

Proučavanje rizika, mogućnost dobitka, nasumične pojave,

It's understanding data.

razumevanje podataka - to je statistika.

I think if our students, if our high school students --

Mislim da kada bi naši učenici, naši srednjoškolci --

if all of the American citizens --

kada bi svi građani Amerike --

knew about probability and statistics,

znali osnove verovatnoće i statistike,

we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)

ne bismo bili u ovoj ekonomskoj zbrci u kojoj smo danas.

Not only -- thank you -- not only that ...

Ne samo -- hvala vam -- ne samo to,

but if it's taught properly, it can be a lot of fun.

već ako se predaju na pravi način, može biti veoma zabavno.

I mean, probability and statistics,

Verovatnoća i statistika,

it's the mathematics of games and gambling.

one predstavljaju matematiku igara i kockanja,

It's analyzing trends. It's predicting the future.

analiziranja trendova, predviđanja budućnosti.

Look, the world has changed

Vidite, svet se promenio

from analog to digital.

iz analognog u digitalni.

And it's time for our mathematics curriculum to change

Vreme je da se naš nastavni program matematike promeni

from analog to digital,

iz analognog u digitalni.

from the more classical, continuous mathematics,

Sa više klasične, kontinualne matematike,

to the more modern, discrete mathematics --

u preovlađujuće modernu, diskretnu matematiku.

the mathematics of uncertainty,

Matematiku neodređenosti,

of randomness, of data --

nasumičnih događaja, podataka --

that being probability and statistics.

a sve to je verovatnoća i statistika.

In summary, instead of our students

Sve u svemu, umesto da naši učenici

learning about the techniques of calculus,

uče o tehnikama matematičke analize,

I think it would be far more significant

mislim da bi mnogo značajnije bilo

if all of them knew what two standard deviations

kada bi svi oni znali šta odstupanje od dve standardne devijacije

from the mean means. And I mean it.

od srednje vrednosti označava. Zaista sam ubeđen u to.

Thank you very much.

Hvala vam puno.

(Applause)

(Aplauz)