TED2009
Arthur Benjamin: Teach statistics before calculus!
Artūrs Bendžamins: Māciet statistiku, nevis matemātisko analīzi!
Filmed:
Readability: 4.6
2,625,810 views
Kāds vienmēr jautā matemātikas skolotājam: „Vai man dzīvē noderēs matemātiskā analīze?” Artūrs Bendžamins saka, ka vairumam no mums — nē. Viņš izsaka pārdrošu piedāvājumu par to, kā matemātiku padarīt noderīgāku mūsdienu digitālajā laikmetā.
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
0
0
3000
Ja prezidents Obama
00:15
invited me to be the next Czar of Mathematics,
1
3000
4000
uzaicinātu mani kļūt par nākamo Matemātikas caru,
00:19
then I would have a suggestion for him
2
7000
3000
man viņam būtu ieteikums, kurš,
00:22
that I think would vastly improve
3
10000
2000
manuprāt, pamatīgi uzlabotu
00:24
the mathematics education in this country.
4
12000
3000
matemātisko izglītību šajā valstī.
00:27
And it would be easy to implement
5
15000
2000
To būtu viegli ieviest, kā arī
00:29
and inexpensive.
6
17000
2000
tas nebūtu dārgi.
00:31
The mathematics curriculum that we have
7
19000
2000
Pašreizējā matemātikas mācību plāna
00:33
is based on a foundation of arithmetic and algebra.
8
21000
4000
pamatā ir aritmētika un algebra.
00:37
And everything we learn after that
9
25000
2000
Viss pārējais, ko mēs mācāmies pēc tā,
00:39
is building up towards one subject.
10
27000
3000
ir paredzēts vienam priekšmetam.
00:42
And at top of that pyramid, it's calculus.
11
30000
4000
Piramīdas virsotnē ir matemātiskā analīze.
00:46
And I'm here to say
12
34000
2000
Esmu šeit,
00:48
that I think that that is the wrong summit of the pyramid ...
13
36000
4000
lai teiktu, ka, manuprāt, tā ir nepareizā piramīdas virsotne ...
00:52
that the correct summit -- that all of our students,
14
40000
2000
ka pareizajai virsotnei... visiem mūsu skolēniem,
00:54
every high school graduate should know --
15
42000
2000
katram vidusskolas absolventam būtu jāzina...
00:56
should be statistics:
16
44000
3000
būtu jābūt statistikai:
00:59
probability and statistics.
17
47000
2000
varbūtībai un statistikai.
01:01
(Applause)
18
49000
2000
(Aplausi)
01:03
I mean, don't get me wrong. Calculus is an important subject.
19
51000
4000
Tikai nepārprotiet. Matemātiskā analīze ir svarīgs priekšmets.
01:07
It's one of the great products of the human mind.
20
55000
2000
Tas ir viens no lieliskajiem cilvēka prāta augļiem.
01:09
The laws of nature are written in the language of calculus.
21
57000
4000
Dabas likumi ir sarakstīti matemātiskās analīzes valodā.
01:13
And every student who studies math, science, engineering, economics,
22
61000
4000
Katram studentam, kurš studē matemātiku, zinātni, inženieriju, ekonomiku,
01:17
they should definitely learn calculus
23
65000
2000
noteikti līdz universitātes pirmā kursa
01:19
by the end of their freshman year of college.
24
67000
2000
beigām būtu jāapgūst matemātiskā analīze.
01:21
But I'm here to say, as a professor of mathematics,
25
69000
3000
Bet esmu šeit, lai kā matemātikas profesors teiktu,
01:24
that very few people actually use calculus
26
72000
4000
ka tikai ļoti retais patiesībā savā dzīvē
01:28
in a conscious, meaningful way, in their day-to-day lives.
27
76000
3000
apzināti un jēgpilni izmanto matemātisko analīzi.
01:31
On the other hand,
28
79000
2000
No otras puses,
01:33
statistics -- that's a subject that you could,
29
81000
3000
statistika — tas ir priekšmets, ko jūs varētu
01:36
and should, use on daily basis. Right?
30
84000
3000
un ko jums vajadzētu izmantot ikdienā. Vai ne?
01:39
It's risk. It's reward. It's randomness.
31
87000
3000
Tas ir risks, atalgojums, nejaušība.
01:42
It's understanding data.
32
90000
2000
Tā ir datu izpratne.
01:44
I think if our students, if our high school students --
33
92000
2000
Manuprāt, ja mūsu skolēni, ja mūsu vidusskolas skolēni,
01:46
if all of the American citizens --
34
94000
2000
ja visi ASV pilsoņi,
01:48
knew about probability and statistics,
35
96000
3000
saprastu varbūtību un statistiku,
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
36
99000
3000
mums nebūtu šāda ekonomiskā ķibele, kādā mēs esam pašlaik.
01:54
Not only -- thank you -- not only that ...
37
102000
3000
Ne tikai, paldies, ne tikai tāpēc ...
01:57
but if it's taught properly, it can be a lot of fun.
38
105000
3000
bet, ja to māca pareizi, tā var būt arī ļoti interesanta.
02:00
I mean, probability and statistics,
39
108000
2000
Varbūtība un statistika,
02:02
it's the mathematics of games and gambling.
40
110000
4000
tā ir spēļu un azartspēļu matemātika.
02:06
It's analyzing trends. It's predicting the future.
41
114000
4000
Tā ir tendenču analizēšana, nākotnes paredzēšana.
02:10
Look, the world has changed
42
118000
2000
Paklausieties, pasaule ir mainījusies
02:12
from analog to digital.
43
120000
3000
no analogās uz digitālo.
02:15
And it's time for our mathematics curriculum to change
44
123000
3000
Arī mūsu matemātikas mācību programmai ir laiks mainīties
02:18
from analog to digital,
45
126000
2000
no analogās uz digitālo.
02:20
from the more classical, continuous mathematics,
46
128000
4000
No klasiskākas, nepārtrauktākas matemātikas
02:24
to the more modern, discrete mathematics --
47
132000
3000
uz mūsdienīgāku diskrēto matemātiku.
02:27
the mathematics of uncertainty,
48
135000
2000
Uz nenoteiktības, nejaušības,
02:29
of randomness, of data --
49
137000
2000
datu matemātiku,
02:31
that being probability and statistics.
50
139000
3000
kas ir varbūtība un statistika.
02:34
In summary, instead of our students
51
142000
2000
Īsāk sakot, tā vietā, lai mūsu skolēni
02:36
learning about the techniques of calculus,
52
144000
3000
apgūtu matemātiskās analīzes metodes,
02:39
I think it would be far more significant
53
147000
3000
manuprāt, daudzkārt lietderīgāk būtu,
02:42
if all of them knew what two standard deviations
54
150000
3000
ja viņi visi tā vietā zinātu, ko nozīmē divas standartnovirzes
02:45
from the mean means. And I mean it.
55
153000
3000
no vidējā. Es tā patiešām domāju.
02:48
Thank you very much.
56
156000
2000
Liels paldies.
02:50
(Applause)
57
158000
3000
(Aplausi)
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