Alan Kay: A powerful idea about teaching ideas

49,401 views ・ 2008-03-10

TED


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譯者: Eric Chen 審譯者: Jeannie Cheng
00:18
A great way to start, I think, with my view of simplicity
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要了解我對簡約的看法最佳的開場是
00:22
is to take a look at TED. Here you are, understanding why we're here,
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來看看TED。你在這裡試著了解我們為何聚集一堂
00:29
what's going on with no difficulty at all.
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我們輕易的就可以明白我們為何在此是為了什麼
00:34
The best A.I. in the planet would find it complex and confusing,
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但是,全世界最好的人工智慧卻會認為這很複雜又令人迷惑
00:38
and my little dog Watson would find it simple and understandable
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但是我的小狗華森應該覺得這簡單又容易懂
00:43
but would miss the point.
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不過他可能會錯過重點
00:45
(Laughter)
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(笑)
00:48
He would have a great time.
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牠可能會在這裡玩得很開心
00:51
And of course, if you're a speaker here, like Hans Rosling,
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誠然,你如果是這裡的演講者之一,如 Hans Rosling
00:56
a speaker finds this complex, tricky. But in Hans Rosling's case,
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會感到演講的複雜與難度。但是對Hans Rosling 來說
01:01
he had a secret weapon yesterday,
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他昨天啟用了一項秘密武器
01:03
literally, in his sword swallowing act.
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那可以像是吞劍表演
01:07
And I must say, I thought of quite a few objects
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我承認我確實想了一大堆物件
01:09
that I might try to swallow today and finally gave up on,
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用來當做吞劍的道具,不過最後還是放棄了
01:14
but he just did it and that was a wonderful thing.
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但是,他做到了,這真是一件妙事
01:18
So Puck meant not only are we fools in the pejorative sense,
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因此 Puck 認為我們不只輕易的被耍了
01:23
but that we're easily fooled. In fact, what Shakespeare
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而且我們很容易被騙。事實上莎士比亞
01:27
was pointing out is we go to the theater in order to be fooled,
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曾指出,我們進戲院看戲,就是為了被戲弄
01:30
so we're actually looking forward to it.
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而且,我們是很期待去經驗這樣的事情
01:34
We go to magic shows in order to be fooled.
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我們看魔術也是一樣
01:36
And this makes many things fun, but it makes it difficult to actually
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許多事因此而變得有趣,不過這卻令我們難於
01:44
get any kind of picture on the world we live in or on ourselves.
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去理解我們所在的世界,甚至於了解自己
01:48
And our friend, Betty Edwards,
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我們的朋友 Betty Edwards
01:50
the "Drawing on the Right Side of the Brain" lady, shows these two tables
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在那個以右腦來繪畫的人,她展示了兩張桌子
01:53
to her drawing class and says,
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她對著繪圖班的同學說
01:58
"The problem you have with learning to draw
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在你們學習繪畫時碰到的困難
02:02
is not that you can't move your hand,
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並不是你們不肯動手
02:04
but that the way your brain perceives images is faulty.
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而是你們的大腦接收到畫面的資訊是錯的
02:10
It's trying to perceive images into objects
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大腦會把圖形轉化成物件
02:12
rather than seeing what's there."
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而不是真的去看物件的本身
02:14
And to prove it, she says, "The exact size and shape of these tabletops
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她說:為了證明這兩張桌子的大小與形狀是一樣的
02:19
is the same, and I'm going to prove it to you."
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我現在要證明給你們看
02:22
She does this with cardboard, but since I have
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她當時是用卡紙板來做
02:25
an expensive computer here
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不過,有鑑於我這裡有一台昂貴的電腦
02:28
I'll just rotate this little guy around and ...
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旋轉一下這個小東西過去
02:34
Now having seen that -- and I've seen it hundreds of times,
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現在我們證實了 -- 而我已經看了上百次
02:37
because I use this in every talk I give -- I still can't see
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因為每次演講到這個議題都會舉這個例子 --
02:41
that they're the same size and shape, and I doubt that you can either.
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我還是無法看出它們的大小與形狀相同,我相信你們也不行
02:46
So what do artists do? Well, what artists do is to measure.
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那麼藝術家們在做什麼呢?他們測量
02:51
They measure very, very carefully.
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非常、非常仔細的測量
02:53
And if you measure very, very carefully with a stiff arm and a straight edge,
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如果你非常、非常小心的測量,同時手很穩、尺很直
02:57
you'll see that those two shapes are
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你會發覺這兩個形狀
02:59
exactly the same size.
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確實一樣大
03:02
And the Talmud saw this a long time ago, saying,
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Talmud 在很久以前就發現了這個現象
03:07
"We see things not as they are, but as we are."
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他說:我們看東西並不是以物件的本身,而是以我們對於它的認知
03:10
I certainly would like to know what happened to the person
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我很想知道那些,在那個時代
03:12
who had that insight back then,
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就可以看到這些事實的人的遭遇
03:15
if they actually followed it to its ultimate conclusion.
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看看他們是否真的遵循這樣的結論
03:21
So if the world is not as it seems and we see things as we are,
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如果這個世界不是我們看到的,而是按照我們的想像
03:23
then what we call reality is a kind of hallucination
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那麼我們所謂的真實只是一種
03:29
happening inside here. It's a waking dream,
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發生在這裡面的幻覺,它稱作白日夢
03:32
and understanding that that is what we actually exist in
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要明白我們確實存在
03:37
is one of the biggest epistemological barriers in human history.
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也是人類歷史上對於認知的最大障礙之一
03:42
And what that means: "simple and understandable"
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也就是說:簡單而易懂的
03:44
might not be actually simple or understandable,
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可能實際上並不是:簡單而易懂
03:47
and things we think are "complex" might be made simple and understandable.
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我們認為複雜的也許是簡單易懂
03:53
Somehow we have to understand ourselves to get around our flaws.
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有時候,我們必須了解自己而避開自己的缺陷
03:57
We can think of ourselves as kind of a noisy channel.
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我們可以認為自己是一種雜訊的來源
03:59
The way I think of it is, we can't learn to see
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我認為:我們無法一窺全貌
04:04
until we admit we're blind.
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除非我們承認自己的盲點
04:06
Once you start down at this very humble level,
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一旦你可以從一個謙卑的角度切入
04:10
then you can start finding ways to see things.
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則能夠開始找到真正看東西的方法
04:13
And what's happened, over the last 400 years in particular,
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特別是過去四百年來所發生的現象
04:18
is that human beings have invented "brainlets" --
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就是人類開始將大腦分區
04:21
little additional parts for our brain --
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我們了解大腦多一點
04:25
made out of powerful ideas that help us
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就能幫助我們創造有利的創意
04:27
see the world in different ways.
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去用不同的方式來看這個世界
04:29
And these are in the form of sensory apparatus --
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以感官的儀器的方式展現
04:32
telescopes, microscopes -- reasoning apparatus --
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望遠鏡、顯微鏡 -- 理性的儀器設備
04:37
various ways of thinking -- and, most importantly,
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各式各樣的思維,而最重要的是
04:41
in the ability to change perspective on things.
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有能力以不同的觀點去觀察事情
04:45
I'll talk about that a little bit.
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我來深入一點
04:46
It's this change in perspective
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這個觀點上的改變
04:48
on what it is we think we're perceiving
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和我們所認為感知的
04:51
that has helped us make more progress in the last 400 years
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已經幫助我們在過去四百年當中進步許多
04:56
than we have in the rest of human history.
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相較於之前的人類歷史
04:58
And yet, it is not taught in any K through 12 curriculum in America that I'm aware of.
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但是據我所知在美國的教育系統裡這並未被重視
05:11
So one of the things that goes from simple to complex
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其中一件事情是,當我們把事情從簡單變成複雜
05:13
is when we do more. We like more.
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是當我們想要更多。我們喜歡更多
05:16
If we do more in a kind of a stupid way,
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如果我們用了笨的方法來追求更多
05:19
the simplicity gets complex
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那麼簡單就複雜化了
05:22
and, in fact, we can keep on doing it for a very long time.
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事實上,我們會一直持續的這樣做
05:27
But Murray Gell-Mann yesterday talked about emergent properties;
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不過 Murray Gell-Mann 昨天談到了一個意外的特性
05:30
another name for them could be "architecture"
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它另外的名字叫做「建築」
05:34
as a metaphor for taking the same old material
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拿來當做隱喻,拿一些古老的素材
05:38
and thinking about non-obvious, non-simple ways of combining it.
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想一些不明顯意見、複雜的方式去結合
05:45
And in fact, what Murray was talking about yesterday in the fractal beauty of nature --
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事實上, Murray 昨天談到的是大自然不規則的美
05:53
of having the descriptions
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它的描述
05:55
at various levels be rather similar --
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在不同的層次下可以如此相似
05:59
all goes down to the idea that the elementary particles
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歸根究底就是分子元素
06:04
are both sticky and standoffish,
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既能結合又可以獨力
06:07
and they're in violent motion.
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而他們都在劇烈的活動
06:11
Those three things give rise to all the different levels
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以上三點將我們的世界提升到了
06:14
of what seem to be complexity in our world.
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所有看似繁雜的層次
06:20
But how simple?
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哪究竟有多簡單?
06:22
So, when I saw Roslings' Gapminder stuff a few years ago,
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幾年前當我看見 Roslings' Gapminder 概念時
06:27
I just thought it was the greatest thing I'd seen
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認為是我見過最好的東西
06:29
in conveying complex ideas simply.
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將複雜的概念簡單化
06:34
But then I had a thought of, "Boy, maybe it's too simple."
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但是,我又想到~天啊!這會不會太簡單了
06:37
And I put some effort in to try and check
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於是我試著去體驗與檢查
06:42
to see how well these simple portrayals of trends over time
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看看這些簡單的模式如何經過時間
06:46
actually matched up with some ideas and investigations from the side,
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去確切的與其他的概念和調查配合在一起
06:51
and I found that they matched up very well.
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我發現它們非常的相符
06:53
So the Roslings have been able to do simplicity
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因此 Roslings 的概念可以將事情簡單化
06:58
without removing what's important about the data.
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同時不會失去重要的資訊
07:02
Whereas the film yesterday that we saw
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如同我們昨天看到的影片
07:06
of the simulation of the inside of a cell,
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模仿細胞內部
07:08
as a former molecular biologist, I didn't like that at all.
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身為一個前生物學家來說,我並不喜歡
07:14
Not because it wasn't beautiful or anything,
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並不是因為它不美麗或其他因素
07:16
but because it misses the thing that most students fail to understand
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而是他缺少了些讓大部分學生都不容易理解的部份
07:21
about molecular biology, and that is:
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對於分子生物學來說
07:24
why is there any probability at all of two complex shapes
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沒有解釋了為什麼要有兩個複雜的形狀的機率
07:29
finding each other just the right way
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以正確的方式找到對方
07:31
so they combine together and be catalyzed?
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而相互的結合與催化
07:34
And what we saw yesterday was
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然而我們昨天所看到的是
07:36
every reaction was fortuitous;
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所有的反應都是偶然的。
07:39
they just swooped in the air and bound, and something happened.
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它們就那麼分散到空氣中結合在一起,然後發生了反應
07:43
But in fact, those molecules are spinning at the rate of
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然而,那些分子以一定的速度旋轉
07:47
about a million revolutions per second;
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將近每秒一百萬轉
07:50
they're agitating back and forth their size every two nanoseconds;
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它們以兩毫微秒的速度相互攪動
07:56
they're completely crowded together, they're jammed,
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它們完全的擠在一起,它們卡住了
07:59
they're bashing up against each other.
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它們撲向對方
08:02
And if you don't understand that in your mental model of this stuff,
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如果你不能理智地明白這些事
08:05
what happens inside of a cell seems completely mysterious and fortuitous,
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在細胞裡所發生的事就全然是神秘和偶然
08:10
and I think that's exactly the wrong image
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而我認為這就是個完全錯誤的圖像
08:12
for when you're trying to teach science.
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如果你試著去教科學
08:18
So, another thing that we do is to confuse adult sophistication
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另外,我們常常做出令人混淆的世故
08:23
with the actual understanding of some principle.
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即使我們只懂得其中的一些道理
08:28
So a kid who's 14 in high school
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一個14歲上中學的孩子
08:30
gets this version of the Pythagorean theorem,
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他拿到畢氏定理課本的時候
08:36
which is a truly subtle and interesting proof,
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也是個有趣又微妙的證明
08:39
but in fact it's not a good way to start learning about mathematics.
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不過這不是個開始學數學的好方法
08:46
So a more direct one, one that gives you more of the feeling of math,
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最好的方法應該是更直接的,一個可以給你關於數學更直觀的感覺
08:51
is something closer to Pythagoras' own proof, which goes like this:
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就畢達哥拉斯自己所用的版本,它就像螢幕所顯示的一樣
08:55
so here we have this triangle, and if we surround that C square with
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當我們拿到這個三角形,如果我們用一個C正方形圍繞它
09:01
three more triangles and we copy that,
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多出三個三角形,然後我們複製它
09:04
notice that we can move those triangles down like this.
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發現我們可以把這三角形像這樣移下
09:09
And that leaves two open areas that are kind of suspicious ...
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留下了兩個開放的空間讓我們思考
09:12
and bingo. That is all you have to do.
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對了,這就是你所要做的
09:19
And this kind of proof is the kind of proof
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而這樣的證據就是我們要的證明
09:21
that you need to learn when you're learning mathematics
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也是你學習數學的時候所需要學習到的
09:24
in order to get an idea of what it means
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讓你明瞭它真正的意涵
09:27
before you look into the, literally, 1,200 or 1,500 proofs
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在你進入這12到1500個證明
09:31
of Pythagoras' theorem that have been discovered.
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在已被發現的畢達哥拉斯定律之前
09:37
Now let's go to young children.
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現在我們來看看小朋友們
09:40
This is a very unusual teacher
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一位非比尋常的老師
09:42
who was a kindergarten and first-grade teacher,
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教導幼稚園和一年級新生
09:46
but was a natural mathematician.
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但是天生就是個數學家
09:48
So she was like that jazz musician friend you have who never studied music
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她就像你的爵士音樂家朋友卻從來沒有上過音樂學院
09:53
but is a terrific musician;
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不過卻是傑出的樂手
09:55
she just had a feeling for math.
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她就是對數學有天份
09:57
And here are her six-year-olds,
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在這裡有她才六歲的學生
10:00
and she's got them making shapes out of a shape.
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她著他們拿著形狀創作出更多的形狀
10:05
So they pick a shape they like -- like a diamond, or a square,
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他們拿起他們喜愛的形狀 -- 菱形或是一個方形
10:07
or a triangle, or a trapezoid -- and then they try and make
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或三角形,或梯形,然後他們就常試著去創作
10:10
the next larger shape of that same shape, and the next larger shape.
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然後從一個形狀嘗試更大的一個形狀,然後再試另一個大形狀
10:14
You can see the trapezoids are a little challenging there.
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而你會發現不規則多邊形更具挑戰性
10:18
And what this teacher did on every project
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這位老師「所做」出的每到題
10:21
was to have the children act like first it was a creative arts project,
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就像是讓小朋友參與一個新的藝術創作一樣
10:26
and then something like science.
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然後才是像是科學這樣的東西
10:28
So they had created these artifacts.
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而創作出了這些手工藝品
10:30
Now she had them look at them and do this ... laborious,
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老師要他們注視這些形狀,然後動手做
10:34
which I thought for a long time, until she explained to me was
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這讓我思考了很長的時間,直到她解釋給我聽
10:38
to slow them down so they'll think.
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是讓他們慢下來以利他們的思考
10:41
So they're cutting out the little pieces of cardboard here
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然後他們切下這些小紙板
10:44
and pasting them up.
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將他們貼好
10:46
But the whole point of this thing is
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然而這整個的行動的意義是
10:50
for them to look at this chart and fill it out.
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讓他們看懂這些表格並將它填滿
10:53
"What have you noticed about what you did?"
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你注意到了你會做什麼嗎?
10:57
And so six-year-old Lauren there noticed that the first one took one,
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六歲的 Lauren 發覺第一個用掉了一個
11:01
and the second one took three more
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然後第二個多用了三個
11:06
and the total was four on that one,
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而整個用掉了四個
11:08
the third one took five more and the total was nine on that one,
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第三個多用了五個,整體的數量是九個
11:12
and then the next one.
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然後繼續下一個
11:13
She saw right away that the additional tiles that you had to add
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因此她馬上得到啟發而知道她必須學會加上去
11:18
around the edges was always going to grow by two,
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沿著邊緣總是要加上2
11:22
so she was very confident about how she made those numbers there.
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接下來她很有自信的知道她可以將數字放在哪裡
11:25
And she could see that these were the square numbers up until about six,
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而且她可以看出這些數字直到6都是平方數
11:30
where she wasn't sure what six times six was
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但她卻不是很確定六乘以六是什麼
11:33
and what seven times seven was,
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也不確定七乘以七是什麼
11:35
but then she was confident again.
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不過她再次感覺信心
11:38
So that's what Lauren did.
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這就是 Lauren 所做的
11:40
And then the teacher, Gillian Ishijima, had the kids
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之後這位老師 Gillian Ishijima 帶著孩子們
11:44
bring all of their projects up to the front of the room and put them on the floor,
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帶著所有的作品來到房屋的前面,將他們放在地板上
11:47
and everybody went batshit: "Holy shit! They're the same!"
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而每個人都十分驚訝,天啊!他們是一樣的!
11:55
No matter what the shapes were, the growth law is the same.
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無論是什麼樣的形狀,增長的規律卻是一樣的
11:59
And the mathematicians and scientists in the crowd
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就群眾中的數學家與科學家而言
12:02
will recognize these two progressions
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他們發現了這兩個方程式
12:04
as a first-order discrete differential equation
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第一個就是一組微分方程式
12:07
and a second-order discrete differential equation,
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和另一個第二組微分方程式
12:12
derived by six-year-olds.
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被一位六歲的小朋友所執行
12:16
Well, that's pretty amazing.
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這~實在非常令人吃驚
12:17
That isn't what we usually try to teach six-year-olds.
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這的確不是我們平常教導六歲的小朋友的知識
12:20
So, let's take a look now at how we might use the computer for some of this.
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現在讓我們看看,如何運用在電腦上運用這些
12:27
And so the first idea here is
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第一個想法是
12:31
just to show you the kind of things that children do.
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單純的展示小朋友所做的
12:35
I'm using the software that we're putting on the $100 laptop.
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我將這個軟體安裝在這一百美金的電腦上
12:40
So I'd like to draw a little car here --
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現在我想來畫一部小車
12:46
I'll just do this very quickly -- and put a big tire on him.
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我就快快的畫一下,然後給他加上大輪胎
12:59
And I get a little object here and I can look inside this object,
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現在我得到了一個小物件,然後我可以從內部檢視這個物件
13:03
I'll call it a car. And here's a little behavior: car forward.
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我把它稱作是一台車,而在這裡給這個車子一個前進的動作
13:08
Each time I click it, car turn.
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我每按一下,車轉
13:11
If I want to make a little script to do this over and over again,
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如果我要寫個程式不斷的重複這樣的動作
13:13
I just drag these guys out and set them going.
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我只需要把它拉過來設定他怎麼走
13:20
And I can try steering the car here by ...
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然後我想從這裡駕駛它
13:23
See the car turn by five here?
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你們可以看到車子轉了五度
13:25
So what if I click this down to zero?
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如果我把這裡的數字設為零?
13:28
It goes straight. That's a big revelation for nine-year-olds.
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它就會向前,這是受到一位九歲大的小朋友啟發而來
13:33
Make it go in the other direction.
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讓它走想另一個方向
13:35
But of course, that's a little bit like kissing your sister
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當然,這有點像在親你妹妹
13:37
as far as driving a car,
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當你駕駛這輛車
13:40
so the kids want to do a steering wheel;
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小孩子都想要一個方向盤
13:43
so they draw a steering wheel.
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因此畫了一個方向盤
13:46
And we'll call this a wheel.
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我們就稱之為方向盤
13:51
See this wheel's heading here?
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所以,看到這個方向盤帶領我們去那兒嗎?
13:55
If I turn this wheel, you can see that number over there going minus and positive.
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如果我轉一下這個方向盤,你可以看到上面的數字增多或減少
14:00
That's kind of an invitation to pick up this name of
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這就像是一個邀請函
14:02
those numbers coming out there
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請你在數字中挑出一個來
14:05
and to just drop it into the script here,
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然後將它丟到程式碼當中
14:07
and now I can steer the car with the steering wheel.
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現在我就可以用方向盤駕駛車子了
14:12
And it's interesting.
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這是很有趣的
14:14
You know how much trouble the children have with variables,
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你知道這些變數帶給小朋友多大的困擾嗎
14:17
but by learning it this way, in a situated fashion,
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但是這樣的學習方法,在這種的潮流,
14:19
they never forget from this single trial
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他們絕對不會忘記這個實驗
14:22
what a variable is and how to use it.
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變數是怎麼使用的
14:25
And we can reflect here the way Gillian Ishijima did.
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我們也可以對照 Gillian Ishijima 的作法
14:27
So if you look at the little script here,
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請你看一下這個小程式
14:29
the speed is always going to be 30.
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速度持續著在30
14:31
We're going to move the car according to that over and over again.
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我們將按照這個數字重複的來操控這車
14:36
And I'm dropping a little dot for each one of these things;
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我在每一段中留下一個點
14:40
they're evenly spaced because they're 30 apart.
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它們將有相同的間隔因為它們相距30
14:43
And what if I do this progression that the six-year-olds did
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但如果我也像之前六歲小孩一樣做級數
14:46
of saying, "OK, I'm going to increase the speed by two each time,
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我會說:好吧,每一段的速度都會翻兩倍
14:51
and then I'm going to increase the distance by the speed each time?
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而我將每段速度增加距離
14:54
What do I get there?"
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我會得到什麼樣的結果呢
14:58
We get a visual pattern of what these nine-year-olds called acceleration.
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我們會得到一個九歲大的孩子所看見的視覺模式並稱之為加速
15:05
So how do the children do science?
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那麼小孩子如何去面對科學呢?
15:08
(Video) Teacher: [Choose] objects that you think will fall to the Earth at the same time.
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(影片)老師:這些你以為會同時掉落到地面的物件
15:11
Student 1: Ooh, this is nice.
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這很有意思
15:18
Teacher: Do not pay any attention
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老師:請別管
15:20
to what anybody else is doing.
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其他人在做什麼
15:35
Who's got the apple?
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誰得到那個蘋果
15:37
Alan Kay: They've got little stopwatches.
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Alan Kay:他們拿著一個小碼錶
15:44
Student 2: What did you get? What did you get?
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老師:你得到了什麼?你得到了什麼?
15:46
AK: Stopwatches aren't accurate enough.
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AK:碼錶並不夠精準
15:49
Student 3: 0.99 seconds.
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女孩:0.99秒
15:52
Teacher: So put "sponge ball" ...
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老師:那放「海綿球」
15:56
Student 4l: [I decided to] do the shot put and the sponge ball
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女孩:那裡有一個鉛球和一個海綿球
15:59
because they're two totally different weights,
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這兩個物件擁有完全不同的重量
16:02
and if you drop them at the same time,
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如果你同時間扔下他們
16:04
maybe they'll drop at the same speed.
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也許他們會以相同的速度下降
16:06
Teacher: Drop. Class: Whoa!
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老師:扔下
16:10
AK: So obviously, Aristotle never asked a child
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顯然的 Aristotle (亞里斯多德)從未問過一個小孩
16:13
about this particular point
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在這個特別的範疇
16:16
because, of course, he didn't bother doing the experiment,
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因為顯然的他不會去做這樣的實驗
16:18
and neither did St. Thomas Aquinas.
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而 St. Thomas Aquinas (聖安東尼.阿魁那斯)也不會這麼做
16:20
And it was not until Galileo actually did it
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直到 Galileo (伽利略)做了一些
16:22
that an adult thought like a child,
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讓成人像小孩一般思考
16:25
only 400 years ago.
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距今已有四百年
16:28
We get one child like that about every classroom of 30 kids
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現在我們可以從30個孩子一班裡面發覺一個這樣的孩子
16:32
who will actually cut straight to the chase.
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會不斷的去探索
16:35
Now, what if we want to look at this more closely?
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現在,假設我們要繼續深入探討
16:38
We can take a movie of what's going on,
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我們可以透過拍攝影像來觀察
16:41
but even if we single stepped this movie,
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不過就算是我們慢格放映這影片
16:43
it's tricky to see what's going on.
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也很難得看得出怎麼一回事
16:45
And so what we can do is we can lay out the frames side by side
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因此我們能做的就是一格、一格畫面慢慢放來看
16:48
or stack them up.
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或者是把他們堆疊起來
16:50
So when the children see this, they say, "Ah! Acceleration,"
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而孩子們看到這個現象就會說:阿~加速
16:55
remembering back four months when they did their cars sideways,
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讓他們回憶起幾個月前他們做的車子圖片
16:58
and they start measuring to find out what kind of acceleration it is.
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他們開始測量試著找出是那一種加速的模式
17:04
So what I'm doing is measuring from the bottom of one image
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而我所做的就是從底層開始測量一個圖片
17:10
to the bottom of the next image, about a fifth of a second later,
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約五分一秒後在下一個圖片的底部測量
17:15
like that. And they're getting faster and faster each time,
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就像這樣,就會逐次加快速度
17:17
and if I stack these guys up, then we see the differences; the increase
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如果我把這些都堆疊起來,那我們就可以看出分別,增加
17:27
in the speed is constant.
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而速度則是一致的
17:30
And they say, "Oh, yeah. Constant acceleration.
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然他們就會說:喔~這是等速的加速
17:32
We've done that already."
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這樣我們就成功啦
17:34
And how shall we look and verify that we actually have it?
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那麼我們該怎麼樣去確認我們做的對不對?
17:42
So you can't tell much from just making the ball drop there,
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我們的確不可以像丟一個球到目標一般決定
17:47
but if we drop the ball and run the movie at the same time,
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但如果我們我們同時間丟一個球和放映影片
17:53
we can see that we have come up with an accurate physical model.
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我們就可以發覺我們創造了一個準確的物理模型
18:00
Galileo, by the way, did this very cleverly
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伽利略,順便提一下,他用很聰明的方式做到這一點
18:04
by running a ball backwards down the strings of his lute.
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他用他的魯特琴(lute)弦反彈他的球
18:07
I pulled out those apples to remind myself to tell you that
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我把這些蘋果拿出來是要提醒我自己別忘了告訴你們
18:12
this is actually probably a Newton and the apple type story,
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這可以說是一個牛頓與蘋果式的故事
18:17
but it's a great story.
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而且是一個偉大的故事
18:19
And I thought I would do just one thing
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我想我還要再做一件事情
18:21
on the $100 laptop here just to prove that this stuff works here.
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利用我這一百元美金的筆電證明這些東西是行得通的
18:31
So once you have gravity, here's this --
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你擁有地心引力,像是地球這兒
18:34
increase the speed by something,
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用某種東西增加速度
18:36
increase the ship's speed.
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加速一個船的速度
18:39
If I start the little game here that the kids have done,
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如果我摹擬孩子們所做的去弄個小遊戲
18:42
it'll crash the space ship.
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這太空船會墜毀
18:44
But if I oppose gravity, here we go ... Oops!
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不過如果我有地心引力~讓我們來~哎呀
18:48
(Laughter)
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(笑聲)
18:50
One more.
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我們再來一次
18:54
Yeah, there we go. Yeah, OK?
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好極了,我們來吧~Yeah,OK?
18:59
I guess the best way to end this is with two quotes:
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我想引用兩段名言來結束今天的演講
19:06
Marshall McLuhan said,
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Marshall McLuhan 說
19:08
"Children are the messages that we send to the future,"
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『兒童是我們向未來發出的訊息』
19:12
but in fact, if you think of it,
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不過事實上,如果你想一想
19:14
children are the future we send to the future.
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是兒童將我們送向未來
19:16
Forget about messages;
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忘記訊息這事情
19:19
children are the future,
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兒童就是未來
19:22
and children in the first and second world
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在第一和第二世界裡的孩童
19:24
and, most especially, in the third world
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特別是第三世界的孩童
19:27
need mentors.
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都需要導師引領
19:29
And this summer, we're going to build five million of these $100 laptops,
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在這個夏天,我們將製做五百萬台百元美金筆記型電腦
19:34
and maybe 50 million next year.
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然後下一年是五千萬台
19:36
But we couldn't create 1,000 new teachers this summer to save our life.
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但是我們不能在這個夏天創造出一千個新的老師來拯救我們的未來
19:43
That means that we, once again, have a thing where we can put technology out,
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這代表了再一次我們有需要利用科技來傳播重要的訊息
19:49
but the mentoring that is required to go
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不過導師才是我們的需求
19:52
from a simple new iChat instant messaging system
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從一個簡單的 iChat 即時通系統
19:57
to something with depth is missing.
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到一些具有深度的訊息中缺少了一部份
19:59
I believe this has to be done with a new kind of user interface,
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我相信這可能引導至一個新的使用者介面
20:02
and this new kind of user interface could be done
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而這樣的使用者介面是可以做得到的
20:06
with an expenditure of about 100 million dollars.
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大約花費一億元美金
20:11
It sounds like a lot, but it is literally 18 minutes of what we're spending in Iraq --
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這聽起來好像很多,但是只是我們在伊拉克18分鐘的花費
20:18
we're spending 8 billion dollars a month; 18 minutes is 100 million dollars --
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我們每個月花費八十億美金,十八分鐘剛好是一億美金
20:23
so this is actually cheap.
319
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2000
因此這實在是很便宜
20:25
And Einstein said,
320
1225330
4000
正如愛因斯坦所說
20:29
"Things should be as simple as possible, but not simpler."
321
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『事情可以越簡單越好,但是人不可以簡單』
20:32
Thank you.
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謝謝你
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