ABOUT THE SPEAKER
Shimon Schocken - Computer Scientist, Educator
Shimon Schocken is a computer science professor and dedicated educator.

Why you should listen

Shimon Schocken is a former dean at Interdisciplinary Center (IDC) Herzliya, a new Israeli private university which he helped found in 1995. He's also taught at NYU, Harvard and Stanford. Together with Noam Nisan he developed a freely available, open-source, self-paced program for learning applied computer science: The Elements of Computing Systems. Offered in 2005, this led to one of the first successful open online courses. Now, courses based on the approach are offered by traditional universities as well as in crowd-sourced settings, and have been taken freely by thousands of self-learners over the web. Registration, lecture and project schedules are managed by volunteer course coordinators, and student questions are answered by the course alumni community.


His current project focuses on developing instructional materials for early-age math education, which he thinks can be transformed using low-cost tablet computers. He uses his other life passion, mountain biking, to teach adolescent boys in Israelʼs juvenile detention centers valuable life lessons through challenging bike rides in remote locations. He was co-organizer and program chair of TEDxTelAviv 2010.

More profile about the speaker
Shimon Schocken | Speaker | TED.com
TEDGlobal 2012

Shimon Schocken: The self-organizing computer course

錫蒙‧蕭肯的電腦自修課程

Filmed:
1,052,300 views

錫蒙‧蕭肯和諾姆‧尼森設計出一門課程,讓學生照步驟做出電腦。這門課的各進度,包含模擬器、晶片規格等課程,後來放上網路,造成轟動,許多人開始學習這門課程,也號召其他人一起學,這門電腦課因此成為線上開放式課程 (MOOCs) 的首例。蕭肯呼籲拋開分數掛帥的思維,自動自發學習。
- Computer Scientist, Educator
Shimon Schocken is a computer science professor and dedicated educator. Full bio

Double-click the English transcript below to play the video.

00:19
So, this is my grandfather祖父,
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這位是我爺爺
00:22
Salman薩爾曼 SchockenSchocken,
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薩爾曼‧蕭肯
00:24
who was born天生 into a poor較差的 and uneducated沒有受過教育 family家庭
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他出生時家裡很窮
父母都沒上過學
00:28
with six children孩子 to feed飼料,
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還要養六個小孩
00:31
and when he was 14 years年份 old, he was forced被迫 to
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14歲的時候
00:35
drop下降 out of school學校 in order訂購 to help put bread麵包 on the table.
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他被迫輟學,幫忙賺錢養家
00:39
He never went back to school學校.
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後來都沒有回過學校
00:42
Instead代替, he went on to build建立 a glittering金光閃閃 empire帝國
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但他的事業成就輝煌
00:47
of department stores商店.
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建立了百貨帝國
00:49
Salman薩爾曼 was the consummate完善 perfectionist完美主義者,
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我爺爺凡事要求盡善盡美
00:52
and every一切 one of his stores商店 was a jewel
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他開的每家百貨公司
00:55
of Bauhaus包豪斯 architecture建築.
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都堪稱包浩斯風格建築的極品
00:56
He was also the ultimate最終 self-learner自學者,
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他熱中自學到了極點
01:00
and like everything else其他, he did it in grand盛大 style樣式.
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和其他事情一樣
他自學得有聲有色
01:03
He surrounded包圍 himself他自己 with an entourage隨行人員
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他的身邊總圍繞著一群
01:05
of young年輕, unknown未知 scholars學者 like Martin馬丁 Buber布伯
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當時年輕,默默無聞的學者
01:09
and Shai夏嘉曦 Agnon阿格農 and Franz弗朗茨 Kafka卡夫卡,
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像布伯,阿格農,卡夫卡等
01:12
and he paid支付 each one of them a monthly每月一次 salary薪水
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爺爺每個月付他們薪水
01:15
so that they could write in peace和平.
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讓他們能安心寫作
01:18
And yet然而, in the late晚了 '30s, Salman薩爾曼 saw what's coming未來.
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但30年代末,納粹迫害猶太人
爺爺知道大禍要臨頭了
01:23
He fled逃離 Germany德國, together一起 with his family家庭,
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他帶著家人逃出德國
01:26
leaving離開 everything else其他 behind背後.
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沒有帶走任何財產
01:28
His department stores商店 confiscated沒收,
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他的百貨公司被沒收
01:31
he spent花費 the rest休息 of his life in a relentless pursuit追求
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從此以後,他窮畢生之力
01:34
of art藝術 and culture文化.
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追求文化與藝術
01:37
This high school學校 dropout退出
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中學沒念完的爺爺
01:39
died死亡 at the age年齡 of 82,
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享壽82歲
01:41
a formidable強大 intellectual知識分子, cofounder聯合創始人 and first CEOCEO
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他是傑出的知識份子
創辦耶路撒冷希伯來大學
01:45
of the Hebrew希伯來語 University大學 of Jerusalem耶路撒冷,
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並擔任第一屆董事長
01:47
and founder創辦人 of SchockenSchocken Books圖書,
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他還創立蕭肯出版社
(Schocken Books)
01:49
an acclaimed廣受好評 imprint版本說明 that was later後來 acquired後天
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當時廣受好評
01:52
by Random隨機 House.
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後來被藍燈書屋
(Random House) 買下
01:54
Such這樣 is the power功率 of self-study自習.
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這就是自學的力量
01:58
And these are my parents父母.
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這是我的父母
02:01
They too did not enjoy請享用 the privilege特權 of college學院 education教育.
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他們沒有接受大學教育
02:05
They were too busy building建造 a family家庭 and a country國家.
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因為他們忙著成家
忙著建立以色列
02:09
And yet然而, just like Salman薩爾曼, they were lifelong終身,
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但就像我爺爺,他們終其一生
02:13
tenacious頑強 self-learners自學者, and our home was stacked堆疊
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都自學不輟,我的家裡
02:16
with thousands數千 of books圖書, records記錄 and artwork藝術品.
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堆了上千本書,唱片,藝術品
02:21
I remember記得 quite相當 vividly生動地 my father父親 telling告訴 me
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我清楚記得父親說過
02:23
that when everyone大家 in the neighborhood鄰里 will have a TV電視 set,
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等左鄰右舍都買電視機了
02:28
then we'll buy購買 a normal正常 F.M. radio無線電. (Laughter笑聲)
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我們再去買收音機吧
02:32
And that's me,
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這是我
02:35
I was going to say holding保持 my first abacus算盤,
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我拿的是我的第一個算盤
02:37
but actually其實 holding保持 what my father父親 would consider考慮
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但我父親會說
02:40
an ample充足 substitute替代 to an iPadiPad的. (Laughter笑聲)
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我拿著山寨版的 iPad
02:43
So one thing that I took from home is this notion概念
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我在家裡學到了一件事
02:47
that educators教育工作者 don't necessarily一定 have to teach.
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就是教育家不見得要教書
02:50
Instead代替, they can provide提供 an environment環境 and resources資源
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而是給你環境和資源
02:53
that tease out your natural自然 ability能力 to learn學習 on your own擁有.
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激發你自學的本能
02:58
Self-study自習, self-exploration自我探索, self-empowerment自強:
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自主學習,自我探索
做自己的主人
03:02
these are the virtues美德 of a great education教育.
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都是良好教育下養成的美德
03:05
So I'd like to share分享 with you a story故事 about a self-study自習,
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我現在要和大家分享一個故事
03:10
self-empowering自我賦權 computer電腦 science科學 course課程
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關於一門注重自主學習
的電腦課程
03:12
that I built內置, together一起 with my brilliant輝煌 colleague同事 Noam諾姆 Nisan尼森.
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是我和我的好同事
諾姆‧尼森共同創立的
03:16
As you can see from the pictures圖片, both Noam諾姆 and I
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照片裡是我和諾姆
03:19
had an early fascination魅力 with first principles原則,
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我們小時候都很迷
基本的科學原理
03:23
and over the years年份, as our knowledge知識 of
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多年以後,我們的知識更豐富了
03:24
science科學 and technology技術 became成為 more sophisticated複雜的,
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科學和科技的素養愈來愈高
03:28
this early awe威嚴 with the basics基本
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從小對基本原理的崇敬之情
03:31
has only intensified愈演愈烈.
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只有愈變愈強烈
03:33
So it's not surprising奇怪 that, about 12 years年份 ago, when
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所以毫無意外,12 年前
03:37
Noam諾姆 and I were already已經 computer電腦 science科學 professors教授,
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我和諾姆都當上教授
在教計算機科學了
03:40
we were equally一樣 frustrated受挫 by the same相同 phenomenon現象.
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我們卻覺得沮喪
03:44
As computers電腦 became成為 increasingly日益 more complex複雜,
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因為電腦愈做愈精密
03:47
our students學生們 were losing失去 the forest森林 for the trees樹木,
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我們的學生卻見樹不見林
03:50
and indeed確實, it is impossible不可能 to connect
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事實上,如果想了解
03:53
with the soul靈魂 of the machine if you interact相互作用
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計算機科學的精髓
03:56
with a black黑色 box P.C. or a Mac蘋果電腦 which哪一個 is shrouded籠罩
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你不能只會操作電腦裡
03:59
by numerous眾多 layers of closed關閉, proprietary所有權 software軟件.
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各式各樣的專利授權軟體
04:02
So Noam諾姆 and I had this insight眼光 that if we want our students學生們
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我和諾姆體認到
如果我們希望學生
04:06
to understand理解 how computers電腦 work,
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了解電腦如何運作
04:08
and understand理解 it in the marrow骨髓 of their bones骨頭,
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而且是徹底了解
04:11
then perhaps也許 the best最好 way to go about it
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也許最好的辦法
04:13
is to have them build建立 a complete完成, working加工,
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就是讓學生完成一臺
04:17
general-purpose一般用途, useful有用 computer電腦, hardware硬件 and software軟件,
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功能齊全,堪用且好用的電腦
04:21
from the ground地面 up, from first principles原則.
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而且要從最基本的
原理開始學習
04:25
Now, we had to start開始 somewhere某處, and so Noam諾姆 and I
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於是我們開始著手進行
我和諾姆認為
04:29
decided決定 to base基礎 our cathedral大教堂, so to speak說話,
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要蓋萬丈高樓
04:32
on the simplest簡單 possible可能 building建造 block,
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就要從平地開始
04:35
which哪一個 is something called NANDNAND.
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我們從基本的 NAND 邏輯運算開始
04:38
It is nothing more than a trivial不重要的 logic邏輯 gate
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NAND 是最普通的一種邏輯閘
04:42
with four input-output輸入輸出 states狀態.
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有四組輸入輸出的數據
04:45
So we now start開始 this journey旅程 by telling告訴 our students學生們
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我們一開始這麼告訴學生
04:48
that God gave us NANDNAND — (Laughter笑聲) —
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上帝給我們 NAND
04:50
and told us to build建立 a computer電腦, and when we asked how,
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要我們組一台電腦
04:54
God said, "One step at a time."
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怎麼做呢?
上帝說,"一次一個步驟就好"
04:57
And then, following以下 this advice忠告, we start開始
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於是乎,我們就開始了
05:00
with this lowly卑賤, humble謙卑 NANDNAND gate,
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從低階,普通的NAND邏輯閘起手
05:03
and we walk步行 our students學生們 through通過 an elaborate闡述 sequence序列
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我們以精心設計的
學習進度帶領學生
05:05
of projects項目 in which哪一個 they gradually逐漸 build建立 a chip芯片 set,
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他們先做出了晶片組
05:09
a hardware硬件 platform平台, an assembler彙編, a virtual虛擬 machine,
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到硬體平台,組合語言,虛擬機器
05:13
a basic基本 operating操作 system系統 and a compiler編譯器
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再到基本款的作業系統
和編譯程序
05:17
for a simple簡單, Java-like類Java language語言 that we call "JACK插口."
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最後完成了一種類似 JAVA
的程式語言,我們稱之為 "JACK"
05:23
The students學生們 celebrate慶祝 the end結束 of this tour遊覽 de force
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我們學生慶祝這項成果的方式
05:25
by using運用 JACK插口 to write all sorts排序 of cool games遊戲
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是利用 JACK 寫了很多有趣的遊戲
05:28
like Pong, Snake and Tetris俄羅斯方塊.
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如彈珠台,貪食蛇,俄羅斯方塊等
05:31
You can imagine想像 the tremendous巨大 joy喜悅 of playing播放
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各位應該能想像他們有多高興
05:35
with a Tetris俄羅斯方塊 game遊戲 that you wrote in JACK插口
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因為他們玩的俄羅斯方塊
是用 JACK 語言編寫
05:38
and then compiled編譯 into machine language語言 in a compiler編譯器
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再使用自己寫的編譯程序
轉為機器語言
05:41
that you wrote also, and then seeing眼看 the result結果
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接著看轉譯出來的結果
05:43
running賽跑 on a machine that you built內置 starting開始
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用來跑程式的機器還是
自己做出來的
05:46
with nothing more than a few少數 thousand NANDNAND gates.
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是由幾千組 NAND 邏輯閘
累積起來的
05:49
It's a tremendous巨大 personal個人 triumph勝利 of going
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這種成就感非同小可
05:52
from first principles原則 all the way to a fantastically飛馳 complex複雜
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因為他們從基本原理開始
最後做出了非常精密
05:57
and useful有用 system系統.
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而且可以用的機器
05:59
Noam諾姆 and I worked工作 five years年份 to facilitate促進
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我和諾姆用了五年時間
06:04
this ascent上升 and to create創建 the tools工具 and infrastructure基礎設施
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簡化課程,製作教材和設備
06:07
that will enable啟用 students學生們 to build建立 it in one semester學期.
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讓學生用一學期
就可以組一台電腦
06:10
And this is the great team球隊 that helped幫助 us make it happen發生.
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這是我們偉大的團隊
幫助我們做到了
06:14
The trick was to decompose分解 the computer's電腦 construction施工
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作法是解構電腦
06:18
into numerous眾多 stand-alone單機 modules模塊,
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分出許多獨立單元
06:21
each of which哪一個 could be individually個別地 specified規定,
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各單元都可以分別開課
06:25
built內置 and unit-tested單元測試 in isolation隔離 from the rest休息 of the project項目.
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分別完成組裝與測試
06:31
And from day one, Noam諾姆 and I decided決定 to put
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一開始我和諾姆就決定
06:34
all these building建造 blocks freely自如 available可得到 in open打開 source資源
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基本課程都免費
06:37
on the Web捲筒紙.
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上網就看得到
06:39
So chip芯片 specifications規格, APIs蜜蜂, project項目 descriptions說明,
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所以晶片規格
應用程式介面 (API), 專案說明
06:43
software軟件 tools工具, hardware硬件 simulators模擬器, CPU中央處理器 emulators模擬器,
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軟體工具,硬體模擬器
模擬 CPU
06:47
stacks of hundreds數以百計 of slides幻燈片, lectures講座 --
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很多的幻燈片,演講等等
06:51
we laid鋪設 out everything on the Web捲筒紙
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我們都放上網路
06:53
and invited邀請 the world世界 to come over,
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歡迎大家來瀏覽
06:56
take whatever隨你 they need,
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找他們需要的資源
06:57
and do whatever隨你 they want with it.
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並自行運用
07:00
And then something fascinating迷人 happened發生.
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後來神奇的事情發生了
07:04
The world世界 came來了.
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大家都來了
07:05
And in short order訂購, thousands數千 of people
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沒過多久,許多人
07:08
were building建造 our machine.
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都照我們的課程組電腦
07:10
And NANDNAND2Tetris俄羅斯方塊 became成為 one of the first
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"從 NAND 到俄羅斯方塊"
07:14
massive大規模的, open打開, online線上 courses培訓班,
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更是史上第一門
線上開放式課程
07:17
although雖然 seven years年份 ago we had no idea理念 that what
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儘管 7 年前我們還不知道
07:20
we were doing is called MOOCsMOOCs.
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線上開放式課程的概念
07:22
We just observed觀察到的 how self-organized自組織 courses培訓班
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我們發現自修課程
07:26
were kind of spontaneously自發 spawning產卵
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好像愈來愈多了
07:29
out of our materials物料.
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很多都用我們的教材
07:30
For example, PramodePramode C.E.,
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例如這位普勒蒙德先生
07:33
an engineer工程師 from Kerala喀拉拉邦, India印度,
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是印度喀拉拉邦的工程師
07:35
has organized有組織的 groups of self-learners自學者
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他帶領一群人自學
07:37
who build建立 our computer電腦 under his good guidance指導.
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用我們的教材組裝電腦
他教得很好
07:40
And ParagParag Shah沙阿, another另一個 engineer工程師, from Mumbai孟買,
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這位帕爾克 · 沙阿先生
是孟買的工程師
07:43
has unbundled分拆 our projects項目 into smaller,
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他把我們的課程分得更細
07:46
more manageable管理 bites咬傷 that he now serves供應
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也更好教,並把課程
07:48
in his pioneering創舉 do-it-yourself自己做 computer電腦 science科學 program程序.
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用於他首創的
"電腦DIY" 課程
07:52
The people who are attracted吸引 to these courses培訓班
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這些被我們課程吸引的人
07:55
typically一般 have a hacker黑客 mentality心理.
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通常有一顆愛電腦的心
07:58
They want to figure數字 out how things work,
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他們想知道電腦如何運作
08:00
and they want to do it in groups,
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他們想一起研究
08:02
like this hackers黑客 club俱樂部 in Washington華盛頓, D.C.,
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這個電腦迷俱樂部
在華盛頓特區
08:04
that uses使用 our materials物料 to offer提供 community社區 courses培訓班.
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就使用我們的教材開課
08:08
And because these materials物料 are widely廣泛 available可得到
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我們的教材容易取得
08:11
and open-source開源, different不同 people take them
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大家都可以用
所以不同的人運用
08:14
to very different不同 and unpredictable不可預料的 directions方向.
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就會有非常不同
出乎意料的結果
08:17
For example, Yu FangminFangmin, from Guangzhou廣州,
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例如這位中國廣州的
余芳明 (音譯) 先生
08:20
has used FPGAFPGA technology技術
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使用現場可程式邏輯閘陣列
( FPGA) 技術
08:22
to build建立 our computer電腦 and show顯示 others其他 how to do the same相同
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組裝我們教材中的電腦
08:26
using運用 a video視頻 clip, and Ben Craddock克拉多克 developed發達
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並透過視訊短片教給其他人
08:30
a very nice不錯 computer電腦 game遊戲 that unfolds展開
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這位班‧克萊杜克先生
設計了一個很棒的遊戲
08:33
inside our CPU中央處理器 architecture建築, which哪一個 is quite相當 a complex複雜
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可以在我們的電腦裡玩
08:38
3D maze迷宮 that Ben developed發達
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班設計的是一個
很複雜的 3D 迷宮
08:41
using運用 the Minecraft我的世界 3D simulator模擬器 engine發動機.
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他使用"當個創世神" (Minecraft)
搭載的 3D 模擬引擎
08:44
The Minecraft我的世界 community社區 went bananas香蕉 over this project項目,
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Minecraft 玩家為之瘋狂
08:48
and Ben became成為 an instant瞬間 media媒體 celebrity名人.
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班也一夕之間爆紅
08:51
And indeed確實, for quite相當 a few少數 people,
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事實上,對不少人來說
08:54
taking服用 this NANDNAND2Tetris俄羅斯方塊 pilgrimage朝聖, if you will,
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這趟 "從 NAND 到俄羅斯方塊" 之旅
08:58
has turned轉身 into a life-changing改變生活 experience經驗.
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改變了他們的一生
09:01
For example, take Dan Rounds大紅大紫, who is a music音樂
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例如這位丹‧朗茲先生
09:04
and math數學 major重大的 from East Lansing蘭辛, Michigan密歇根州.
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他在密西根東蘭辛大學
主修音樂和數學
09:07
A few少數 weeks ago, Dan posted發布 a victorious獲勝 post崗位
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幾個星期前,丹發表一篇文章
09:10
on our website網站, and I'd like to read it to you.
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在我們的網站上
我想念給你們聽聽
09:13
So here's這裡的 what Dan said.
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丹是這麼說的
09:16
"I did the coursework課程 because understanding理解 computers電腦
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"我來這裡學電腦,
因為懂電腦很重要"
09:19
is important重要 to me, just like literacy讀寫能力 and numeracy算術,
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"跟識字和算術一樣"
09:22
and I made製作 it through通過. I never worked工作 harder更難 on anything,
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"而我完成了課程,
我從來沒這麼認真過"
09:25
never been challenged挑戰 to this degree.
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"從來沒碰過這麼大的挑戰"
09:28
But given特定 what I now feel capable of doing,
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"但看看我學到了什麼東西"
09:30
I would certainly當然 do it again.
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"這個課程上再多次都值得"
09:32
To anyone任何人 considering考慮 NANDNAND2Tetris俄羅斯方塊,
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"各位還在考慮的朋友"
09:35
it's a tough強硬 journey旅程, but you'll你會 be profoundly深深 changed."
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"這趟路很難走,
但走完你會脫胎換骨"
09:38
So Dan demonstrates演示 the many許多 self-learners自學者
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丹代表了許多自學的人
09:43
who take this course課程 off the Web捲筒紙, on their own擁有 traction牽引,
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他們被我們的課程吸引
09:48
on their own擁有 initiative倡議, and it's quite相當 amazing驚人 because
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他們主動學習
而且有件事相當驚人
09:53
these people cannot不能 care關心 less about
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這些人根本不計較
09:57
grades等級.
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成績的事
09:58
They are doing it because of one motivation動機 only.
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他們這樣做只有一個動機
10:02
They have a tremendous巨大 passion to learn學習.
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他們有極大的學習熱情
10:06
And with that in mind心神,
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講到這點
10:08
I'd like to say a few少數 words about traditional傳統 college學院 grading等級.
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我想提一下傳統的大學評分制度
10:12
I'm sick生病 of it.
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我很討厭
10:15
We are obsessed痴迷 with grades等級
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我們都太迷信分數
10:16
because we are obsessed痴迷 with data數據,
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對數據資料深信不疑
10:18
and yet然而 grading等級 takes away all the fun開玩笑 from failing失敗,
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但光靠分數就
決定了是否及格
10:23
and a huge巨大 part部分 of education教育
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受教育最重要的事
10:25
is about failing失敗.
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就是不要被當掉
10:27
Courage勇氣, according根據 to Churchill丘吉爾,
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邱吉爾說,所謂勇氣
10:29
is the ability能力 to go from one defeat打敗 to another另一個
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是能夠一而再,再而三失敗
10:32
without losing失去 enthusiasm熱情. (Laughter笑聲)
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還不喪失熱情
10:35
And [Joyce喬伊斯] said that mistakes錯誤
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(喬艾斯說) 錯誤就是
10:39
are the portals門戶 of discovery發現.
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通往發現之門
10:40
And yet然而 we don't tolerate容忍 mistakes錯誤,
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但我們不能容忍錯誤
10:43
and we worship崇拜 grades等級.
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我們只著重分數
10:45
So we collect蒐集 your B pluses加號 and your A minuses
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所以我們把學生的成績加總
10:48
and we aggregate骨料 them into a number like 3.4,
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算出總分,再劃分等第
10:51
which哪一個 is stamped沖壓 on your forehead前額
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好像在額頭上蓋章一樣
10:53
and sums總和 up who you are.
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這就是你的程度
10:56
Well, in my opinion意見, we went too far with this nonsense廢話,
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在我看來,這種亂象非常嚴重
10:59
and grading等級 became成為 degrading降解.
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打分數讓教育制度更退步
11:02
So with that, I'd like to say a few少數 words about upgrading升級,
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既然說到退步
我就講講如何進步
11:07
and share分享 with you a glimpse一瞥 from my current當前 project項目,
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我要和各位分享
我最近的一項計畫
11:11
which哪一個 is different不同 from the previous以前 one,
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不是剛剛講的電腦課
11:13
but it shares分享 exactly究竟 the same相同 characteristics特點
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但有完全一樣的特色
11:15
of self-learning自學習, learning學習 by doing,
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就是自學,做中學
11:19
self-exploration自我探索 and community-building社區建設,
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自我探索和團體學習
11:22
and this project項目 deals交易 with K-K-12 math數學 education教育,
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這個計畫涵蓋
幼稚園到中學的數學教育
11:27
beginning開始 with early age年齡 math數學,
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從幼稚園數學開始
11:29
and we do it on tablets平板電腦 because we believe that
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而且用平板電腦來教
因為我們認為
11:34
math數學, like anything else其他, should be taught hands on.
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學數學也應該動手做
11:38
So here's這裡的 what we do. Basically基本上, we developed發達
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我們是這麼做的
基本上,我們開發了
11:41
numerous眾多 mobile移動 apps應用, every一切 one of them explaining說明
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很多應用程式
每個都解釋
11:45
a particular特定 concept概念 in math數學.
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一個特定的數學概念
11:47
So for example, let's take area.
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以面積的概念為例
11:50
When you deal合同 with a concept概念 like area --
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處理面積問題的時候
11:53
well, we also provide提供 a set of tools工具 that the child兒童
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程式裡提供一套工具
11:58
is invited邀請 to experiment實驗 with in order訂購 to learn學習.
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讓孩子操作,並從中學習
12:00
So if area is what interests利益 us, then one thing
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如果要計算面積
12:04
which哪一個 is natural自然 to do is to tile the area
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最直接的方法是填滿法
12:09
of this particular特定 shape形狀 and simply只是 count計數
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用這種特定形狀的磁磚來填
12:12
how many許多 tiles瓷磚 it takes to cover it completely全然.
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再數數要用多少磁磚
才能填滿
12:16
And this little exercise行使 here gives you a first
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這樣的小活動可以幫孩子
12:19
good insight眼光 of the notion概念 of area.
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建立初步的面積概念
12:22
Moving移動 along沿, what about the area of this figure數字?
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那平行四邊形的面積呢?
12:25
Well, if you try to tile it, it doesn't work too well, does it.
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用填滿法的話算不出來,對吧?
12:29
So instead代替, you can experiment實驗
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所以可以試試看
12:32
with these different不同 tools工具 here by some process處理
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這裡其他的工具
12:34
of guided引導 trial審訊 and error錯誤,
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經過幾次嘗試和錯誤
12:36
and at some point you will discover發現 that one thing
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也許某一次就會發現
12:39
that you can do among其中 several一些 legitimate合法 transformations轉換
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好幾種方法當中
12:42
is the following以下 one. You can cut the figure數字,
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這一種可以用
用美工刀切
12:45
you can rearrange改編 the parts部分, you can glue them
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重新排列圖形,再黏起來
12:49
and then proceed繼續 to tile just like we did before.
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然後就是剛才的填滿法了
12:52
(Applause掌聲)
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(掌聲)
12:57
Now this particular特定 transformation轉型
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這個變換形狀的方法
13:00
did not change更改 the area of the original原版的 figure數字,
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沒有改變原圖的面積
13:04
so a six-year-old六十歲 who plays播放 with this
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所以 6 歲的孩子來玩
13:06
has just discovered發現 a clever聰明 algorithm算法
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就會發現一種好用的算法
13:09
to compute計算 the area of any given特定 parallelogram平行四邊形.
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來計算平行四邊形的面積
13:13
We don't replace更換 teachers教師, by the way.
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我們不是要用
應用程式代替老師
13:15
We believe that teachers教師 should be empowered授權, not replaced更換.
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應該更重視老師的功能
而不是換掉他們
13:18
Moving移動 along沿, what about the area of a triangle三角形?
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那三角形的面積呢?
13:21
So after some guided引導 trial審訊 and error錯誤,
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經過幾次嘗試和錯誤
13:24
the child兒童 will discover發現, with or without help,
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不管有沒有人幫忙
孩子可能會發現
13:28
that he or she can duplicate重複 the original原版的 figure數字
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可以複製原圖
13:32
and then take the result結果, transpose顛倒 it,
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把複製出的圖形移動,旋轉
13:35
glue it to the original原版的 and then proceed繼續 [with] what we did before:
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再和原圖黏在一起
然後重複剛才做的
13:39
cut, rearrange改編, pasteoops哎呀paste and glue,
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裁切,重新排列,黏貼
13:47
and tile.
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和填滿
13:48
Now this transformation轉型 has doubled翻倍 the area
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現在這個新圖形的面積
13:52
of the original原版的 figure數字, and therefore因此 we have just learned學到了
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是原圖的兩倍
因此孩子會學到
13:56
that the area of the triangle三角形 equals等於 the area of this rectangle長方形
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三角形的面積
等於這個矩形的面積
14:00
divided分為 by two.
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除以二
14:02
But we discovered發現 it by self-exploration自我探索.
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孩子透過探索
找到這個算法
14:06
So, in addition加成 to learning學習 some useful有用 geometry幾何,
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所以除了學習幾何學知識
14:12
the child兒童 has been exposed裸露 to some pretty漂亮 sophisticated複雜的
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孩子也會接觸一些較複雜的
14:16
science科學 strategies策略, like reduction減少,
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科學方法,例如簡化法
14:19
which哪一個 is the art藝術 of
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利用簡化法
14:22
transforming轉型 a complex複雜 problem問題 into a simple簡單 one,
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能把複雜的問題變簡單
14:26
or generalization概括, which哪一個 is at the heart
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或者相當重要的歸納法
14:28
of any scientific科學 discipline學科,
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幾乎所有科學領域都用得到
14:31
or the fact事實 that some properties性能 are invariant不變
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或是不變量的概念
14:34
under some transformations轉換.
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意思是經過數學轉換
量仍然保持不變
14:37
And all this is something that a very young年輕 child兒童
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這些原理,年紀還很小的孩子
14:40
can pick up using運用 such這樣 mobile移動 apps應用.
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玩應用程式就學得到
14:44
So presently目前, we are doing the following以下:
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目前我們的工作如下
14:47
First of all, we are decomposing分解 the K-K-12 math數學 curriculum課程
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首先將幼稚園
到中學的數學課程
14:52
into numerous眾多 such這樣 apps應用.
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分成許多應用程式
14:54
And because we cannot不能 do it on our own擁有,
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我們沒辦法分得更細
14:57
we've我們已經 developed發達 a very fancy幻想 authoring創作 tool工具
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所以我們開發了一個
很別緻的教材製作工具
15:00
that any author作者, any parent or actually其實 anyone任何人
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讓父母或其他人自己做
15:03
who has an interest利益 in math數學 education教育,
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誰對數學教育感興趣
15:06
can use this authoring創作 tool工具 to develop發展 similar類似 apps應用
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就可以用這種工具
開發類似的程式
15:09
on tablets平板電腦 without programming程序設計.
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不用再從頭開始做
15:12
And finally最後, we are putting together一起 an adaptive自適應 ecosystem生態系統
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最後把這些程式
結合成一個系統
15:16
that will match比賽 different不同 learners學習者
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讓不同的學生
15:18
with different不同 apps應用 according根據 to their evolving進化 learning學習 style樣式.
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可以依照他們的學習方式
使用裡面的的應用程式
15:24
The driving主動 force behind背後 this project項目
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這個計劃的幕後推手
15:26
is my colleague同事 ShmulikShmulik London倫敦,
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是我的同事史穆里克‧朗登
15:29
and, you see, just like
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我做的事
15:32
Salman薩爾曼 did about 90 years年份 ago,
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和我爺爺 90 年前做的一樣
15:36
the trick is to surround環繞 yourself你自己 with brilliant輝煌 people,
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我找了一些很厲害的人
15:40
because at the end結束,
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因為到頭來
15:43
it's all about people.
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人才是最重要的
15:45
And a few少數 years年份 ago, I was walking步行 in Tel聯繫電話 Aviv特拉維夫
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幾年前,我在特拉維夫散步
15:48
and I saw this graffiti塗鴉 on a wall,
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我看到一面牆上的塗鴉
15:51
and I found發現 it so compelling引人注目
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我當時深深被吸引
15:53
that by now I preach傳道 it to my students學生們,
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到現在我還是會
跟學生講這幅塗鴉
15:55
and I'd like to try to preach傳道 it to you.
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我也想跟各位講
15:57
Now, I don't know how many許多 people here are familiar
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不曉得各位知不知道
15:59
with the term術語 "mensch門施."
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mensch 這個字
16:01
It basically基本上 means手段 to be human人的
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這個字的意思是要當好人
16:03
and to do the right thing.
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要做對的事
16:05
And with that, what this graffiti塗鴉 says is,
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這幾個字的意思是
16:08
"High-tech高科技 schmigh-techschmigh高科技.
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"科技無限好"
16:10
The most important重要 thing is to be a mensch門施." (Laughter笑聲)
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"當好人最重要"
16:12
Thank you. (Applause掌聲)
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謝謝各位
16:16
(Applause掌聲)
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(掌聲)
Translated by Justin Lin
Reviewed by Geoff Chen

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ABOUT THE SPEAKER
Shimon Schocken - Computer Scientist, Educator
Shimon Schocken is a computer science professor and dedicated educator.

Why you should listen

Shimon Schocken is a former dean at Interdisciplinary Center (IDC) Herzliya, a new Israeli private university which he helped found in 1995. He's also taught at NYU, Harvard and Stanford. Together with Noam Nisan he developed a freely available, open-source, self-paced program for learning applied computer science: The Elements of Computing Systems. Offered in 2005, this led to one of the first successful open online courses. Now, courses based on the approach are offered by traditional universities as well as in crowd-sourced settings, and have been taken freely by thousands of self-learners over the web. Registration, lecture and project schedules are managed by volunteer course coordinators, and student questions are answered by the course alumni community.


His current project focuses on developing instructional materials for early-age math education, which he thinks can be transformed using low-cost tablet computers. He uses his other life passion, mountain biking, to teach adolescent boys in Israelʼs juvenile detention centers valuable life lessons through challenging bike rides in remote locations. He was co-organizer and program chair of TEDxTelAviv 2010.

More profile about the speaker
Shimon Schocken | Speaker | TED.com

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