TED2009
Arthur Benjamin: Teach statistics before calculus!
Formula Arthur Benjamin untuk mengubah pendidikan matematik
Filmed:
Readability: 4.6
2,625,810 views
Orang sering bertanya guru matematik, “Adakah saya akan menggunakan kalkulus dalam kehidupan saya?” Dan bagi kebanyakan kita, ujar Arthur Benjamin, jawapannya ialah tidak. Beliau mengemukakan satu usul yang berani mengenai bagaimana menjadikan pendidikan matematik relevan dalam zaman digital.
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
JIka Presiden Obama
00:15
invited me to be the next Czar of Mathematics,
1
3000
4000
menawarkan saya untuk menjadi Ketua Matematik yang baru,
00:19
then I would have a suggestion for him
2
7000
3000
maka saya ada satu cadangan untuknya
00:22
that I think would vastly improve
3
10000
2000
yang saya fikir akan dapat banyak memperbaiki
00:24
the mathematics education in this country.
4
12000
3000
pendidikan matematik di negara ini.
00:27
And it would be easy to implement
5
15000
2000
Dan ia mudah untuk dilaksanakan
00:29
and inexpensive.
6
17000
2000
dan tidak mahal.
00:31
The mathematics curriculum that we have
7
19000
2000
Kurikulum matematik kita
00:33
is based on a foundation of arithmetic and algebra.
8
21000
4000
adalah berdasarkan pada asas aritmetik dan algebra.
00:37
And everything we learn after that
9
25000
2000
Dan segala-gala yang kita pelajari selepas itu
00:39
is building up towards one subject.
10
27000
3000
membina ke arah satu subjek.
00:42
And at top of that pyramid, it's calculus.
11
30000
4000
Dan di puncak piramid itu ialah kalkulus.
00:46
And I'm here to say
12
34000
2000
Dan saya di sini mahu memperkatakan
00:48
that I think that that is the wrong summit of the pyramid ...
13
36000
4000
bahawa itu adalah puncak piramid yang salah...
00:52
that the correct summit -- that all of our students,
14
40000
2000
puncak yang betul -- di mana semua pelajar kita,
00:54
every high school graduate should know --
15
42000
2000
setiap lulusan sekolah tinggi perlu tahu --
00:56
should be statistics:
16
44000
3000
sepatutnya ialah statistik:
00:59
probability and statistics.
17
47000
2000
kebarangkalian dan statistik.
01:01
(Applause)
18
49000
2000
(Tepuk tangan)
01:03
I mean, don't get me wrong. Calculus is an important subject.
19
51000
4000
Maksud saya, jangan salah faham. Kalkulus ialah mata pelajaran yang penting.
01:07
It's one of the great products of the human mind.
20
55000
2000
Ia suatu hasil minda manusia yang hebat.
01:09
The laws of nature are written in the language of calculus.
21
57000
4000
Undang-undang alam ditulis dalam bahasa kalkulus.
01:13
And every student who studies math, science, engineering, economics,
22
61000
4000
Dan setiap pelajar yang mempelajari matematik, sains, kejuruteraan, ekonomi,
01:17
they should definitely learn calculus
23
65000
2000
mereka tentu belajar kalkulus
01:19
by the end of their freshman year of college.
24
67000
2000
di akhir tahun pertama di kolej.
01:21
But I'm here to say, as a professor of mathematics,
25
69000
3000
Dan di sini saya mahu memperkatakan, sebagai seorang profesor matematik,
01:24
that very few people actually use calculus
26
72000
4000
bahawa segelintir orang yang benar-benar menggunakan kalkulus
01:28
in a conscious, meaningful way, in their day-to-day lives.
27
76000
3000
secara sedar, bermakna dan dalam kehidupan seharian mereka.
01:31
On the other hand,
28
79000
2000
Sebaliknya,
01:33
statistics -- that's a subject that you could,
29
81000
3000
statistik – itu satu mata pelajaran yang anda boleh,
01:36
and should, use on daily basis. Right?
30
84000
3000
dan patut menggunakannya secara harian. Betul?
01:39
It's risk. It's reward. It's randomness.
31
87000
3000
Ia mengenai risiko. Mengenai ganjaran. Mengenai kerawakan.
01:42
It's understanding data.
32
90000
2000
Mengenai pemahaman data.
01:44
I think if our students, if our high school students --
33
92000
2000
Saya fikir jika pelajar kita, jika pelajar sekolah tinggi kita --
01:46
if all of the American citizens --
34
94000
2000
jika semua warga Amerika --
01:48
knew about probability and statistics,
35
96000
3000
faham mengenai kebarangkalian dan statistik,
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
36
99000
3000
kita tidak akan berada dalam kecelaruan ekonomi yang kita hadapi sekarang.
01:54
Not only -- thank you -- not only that ...
37
102000
3000
Bukan sahaja – terima kasih – bukan sahaja itu...
01:57
but if it's taught properly, it can be a lot of fun.
38
105000
3000
[tetapi] jika ia diajarkan dengan betul, ia menyeronokkan.
02:00
I mean, probability and statistics,
39
108000
2000
Maksud saya, kebarangkalian dan statistik,
02:02
it's the mathematics of games and gambling.
40
110000
4000
ia adalah matematik permainan dan perjudian.
02:06
It's analyzing trends. It's predicting the future.
41
114000
4000
Ia adalah menganalisis tren. Meramalkan masa depan.
02:10
Look, the world has changed
42
118000
2000
Lihat, dunia telah berubah
02:12
from analog to digital.
43
120000
3000
dari analog kepada digital.
02:15
And it's time for our mathematics curriculum to change
44
123000
3000
Dan sudah masanya kurikulum matematik kita berubah
02:18
from analog to digital,
45
126000
2000
dari analog kepada digital.
02:20
from the more classical, continuous mathematics,
46
128000
4000
Dari matematik yang lebih klasikal dan selanjar,
02:24
to the more modern, discrete mathematics --
47
132000
3000
kepada matematik yang lebih moden, diskret.
02:27
the mathematics of uncertainty,
48
135000
2000
Matematik ketidakpastian,
02:29
of randomness, of data --
49
137000
2000
kerawakan, data --
02:31
that being probability and statistics.
50
139000
3000
dan itulah kebarangkalian dan statistik.
02:34
In summary, instead of our students
51
142000
2000
Ringkasnya, daripada pelajar kita
02:36
learning about the techniques of calculus,
52
144000
3000
belajar teknik kalkulus,
02:39
I think it would be far more significant
53
147000
3000
saya fikir adalah lebih bererti
02:42
if all of them knew what two standard deviations
54
150000
3000
jika mereka faham apa itu dua sisihan piawai
02:45
from the mean means. And I mean it.
55
153000
3000
dari min. Dan saya bersungguh-sungguh mengenainya.
02:48
Thank you very much.
56
156000
2000
Terima kasih banyak.
02:50
(Applause)
57
158000
3000
(Tepuk tangan)
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