TED2009
Arthur Benjamin: Teach statistics before calculus!
अर्थर बेञ्जामिनको गणित शिक्षा परिवर्तन गर्ने सुत्र
Filmed:
Readability: 4.6
2,625,810 views
कसै कसैले गणित शिक्षकलाइ यो सोध्ने गर्छन कि, "मैले वास्तविक जीवनमा क्याल्कुलस प्रयोग गरुँला त?" र प्राय: हामी सबैले भन्ने, अर्थर बेञ्जामिन भन्छन, उत्तर हो--गर्दैनौ। ऊनले गणित शिक्षालाई कसरी डिजिटल युगअनुरुपको बनाउन सकिन्छ भन्ने एउटा साहसिक प्रस्ताव प्रस्तुत गरेका छन्|
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
अहिले, यदि राष्ट्रपति ओबामाले
00:15
invited me to be the next Czar of Mathematics,
1
3000
4000
मलाई गणितको अर्को बडा हाकिम बन्न बोलाए भने
00:19
then I would have a suggestion for him
2
7000
3000
मलाई लाग्छ ऊनलाई मेरो एउटा सुझाव हुनेछ
00:22
that I think would vastly improve
3
10000
2000
कि यो देशको गणित शिक्षालाई
00:24
the mathematics education in this country.
4
12000
3000
व्यापक सुधार गर्नुपर्छ।
00:27
And it would be easy to implement
5
15000
2000
र यो लागू गर्न सजिलो
00:29
and inexpensive.
6
17000
2000
अनि कम खर्चिलो हुनेछ।
00:31
The mathematics curriculum that we have
7
19000
2000
हाम्रो गणित पाठ्यक्रम
00:33
is based on a foundation of arithmetic and algebra.
8
21000
4000
अङ्क र बीजगणितको जगमा आधारित छ।
00:37
And everything we learn after that
9
25000
2000
र हामीले त्यसपछि हामीले सिक्ने सबैकुरा
00:39
is building up towards one subject.
10
27000
3000
एउटा बिषयतिर अघि बढ्छ।
00:42
And at top of that pyramid, it's calculus.
11
30000
4000
अनि त्यो पिरामीडको टुप्पोमा क्याल्कुलस हुन्छ।
00:46
And I'm here to say
12
34000
2000
र मैले यहाँ भन्न चाहन्छु कि
00:48
that I think that that is the wrong summit of the pyramid ...
13
36000
4000
मेरो बिचारमा त्यो पिरामीडको गलत टुप्पो हो ...
00:52
that the correct summit -- that all of our students,
14
40000
2000
सही टुप्पो -- हाम्रा सबै विद्यार्थीहरूले,
00:54
every high school graduate should know --
15
42000
2000
सबै उच्च माध्यमिक पास गर्नेले जान्नु पर्ने कुरो --
00:56
should be statistics:
16
44000
3000
त तथ्याङ्क पो हुनुपर्छ।
00:59
probability and statistics.
17
47000
2000
सम्भाव्यता र तथ्याङ्क।
01:01
(Applause)
18
49000
2000
(ताली)
01:03
I mean, don't get me wrong. Calculus is an important subject.
19
51000
4000
मेरो मतलव, मलाई गलत नसोच्नुस। तथ्याङ्क एउटा महत्वपूर्ण विषय हो।
01:07
It's one of the great products of the human mind.
20
55000
2000
यो मानव मस्तिष्कको एउटा महान उपज हो।
01:09
The laws of nature are written in the language of calculus.
21
57000
4000
प्रकृतिका नियमहरू क्याल्कुलसको भाषामा लेखिएका छन।
01:13
And every student who studies math, science, engineering, economics,
22
61000
4000
र प्रत्येक विद्यार्थी जसले गणित, विज्ञान, अभियान्त्रिकी, अर्थशाष्त्र पढ्छन
01:17
they should definitely learn calculus
23
65000
2000
उनीहरूले कलेजको पहिलो वर्षको अन्त्यसम्म
01:19
by the end of their freshman year of college.
24
67000
2000
क्याल्कुलस अबश्य सिक्नु पर्छ।
01:21
But I'm here to say, as a professor of mathematics,
25
69000
3000
तर मैले यहाँ यो भन्न चाहन्छु, गणितको प्रध्यापकका नाताले,
01:24
that very few people actually use calculus
26
72000
4000
कि वास्तवमा धेरै थोरै व्यक्तिहरू ऊनीहरूको दैनिक जीवनमा
01:28
in a conscious, meaningful way, in their day-to-day lives.
27
76000
3000
सचेत, अर्थपुर्ण रुपमा क्याल्कुलसको प्रयोग गर्छन।
01:31
On the other hand,
28
79000
2000
अर्कोतिर,
01:33
statistics -- that's a subject that you could,
29
81000
3000
तथ्याङ्क -- त्यस्तो विषय हो जुन तपाईँले दैनिक रुपमा
01:36
and should, use on daily basis. Right?
30
84000
3000
प्रयोग गर्न सक्नुहुन्छ, र गर्नुहुन्छ। हैन त?
01:39
It's risk. It's reward. It's randomness.
31
87000
3000
यो जोखिम हो। यो प्रतिफल हो। यो क्रमरहित हो।
01:42
It's understanding data.
32
90000
2000
यो तथ्य बुझ्नु हो।
01:44
I think if our students, if our high school students --
33
92000
2000
मलाई लाग्छ यदि हाम्रा विद्यार्थीहरूले, यदि हाम्रा उच्च माध्यमिक विद्यार्थीहरूले --
01:46
if all of the American citizens --
34
94000
2000
यदि सबै अमेरिकी नागरिकहरूले --
01:48
knew about probability and statistics,
35
96000
3000
सम्भाव्यता र तथ्याङ्कको बारेमा जानेका भए,
01:51
we wouldn't be in the economic mess that we're in today. (Laughter) (Applause)
36
99000
3000
हामी अहिले भईराखेको अर्थतन्त्रको अस्तव्यस्ततामा हुन्नथ्यौँ।
01:54
Not only -- thank you -- not only that ...
37
102000
3000
त्यति मात्र -- धन्यवाद -- त्यति मात्र हैन --
01:57
but if it's taught properly, it can be a lot of fun.
38
105000
3000
[तर] यदि यो राम्ररी पढाईयो भने, यो धेरै नै रमाईलो हुन सक्छ।
02:00
I mean, probability and statistics,
39
108000
2000
मेरो मतलव, सम्भाव्यता र तथ्याङ्क,
02:02
it's the mathematics of games and gambling.
40
110000
4000
यो खेलहरू र जुवाको गणित हो।
02:06
It's analyzing trends. It's predicting the future.
41
114000
4000
यो झुकावहरूको विश्लेषण हो। यो भविश्यको अनुमान हो।
02:10
Look, the world has changed
42
118000
2000
हेर्नुस, विश्व एनालगबाट
02:12
from analog to digital.
43
120000
3000
डिजिटलमा परिवर्तन भएको छ।
02:15
And it's time for our mathematics curriculum to change
44
123000
3000
र यो समय हाम्रो गणित पाठ्यक्रम एनालगबाट डिजिटलमा परिवर्तन
02:18
from analog to digital,
45
126000
2000
गर्ने समय हो।
02:20
from the more classical, continuous mathematics,
46
128000
4000
अझ प्राचीन, अविरल गणितबाट आधुनिक,
02:24
to the more modern, discrete mathematics --
47
132000
3000
डिस्कृट गणिततर्फ।
02:27
the mathematics of uncertainty,
48
135000
2000
अनिश्चितताको गणित,
02:29
of randomness, of data --
49
137000
2000
क्रमविहीनताको, तथ्यको --
02:31
that being probability and statistics.
50
139000
3000
गणित, सम्भाव्यता र तथ्याङ्क हो।
02:34
In summary, instead of our students
51
142000
2000
छोटकरीमा, हाम्रा विद्यार्थीहरू क्याल्कुलसका
02:36
learning about the techniques of calculus,
52
144000
3000
हिसाब गर्ने तरिकाहरु सिक्नुको सट्टा,
02:39
I think it would be far more significant
53
147000
3000
मध्यमा बाट दुई स्ट्याण्डर्ड डेभिएसनहरू भनेको
02:42
if all of them knew what two standard deviations
54
150000
3000
के हो भन्ने कुरा यदि सबैले जानेको भए एकदमै सार्थक
02:45
from the mean means. And I mean it.
55
153000
3000
हुन्थ्यो। र यो मेरो आशय हो।
02:48
Thank you very much.
56
156000
2000
धेरै धेरै धन्यवाद।
02:50
(Applause)
57
158000
3000
(ताली)
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