gowitheflow/parallel-talks-deduplicated · Datasets at Hugging Face

english stringlengths 2 3.06k	non_english stringlengths 1 2.84k	language stringclasses 52 values
See, the thing we're doing right now is we're forcing people to learn mathematics.	Vean, lo que estamos haciendo ahora es forzar a la gente a aprender matemáticas.	en-es
It's a major subject.	Matematika adalah subjek utama.	en-id
I'm not for one minute suggesting that, if people are interested in hand calculating or in following their own interests in any subject however bizarre -- they should do that.	انا لا انفي لدقيقة واحدة ان الذين يهتمون بالحسابات اليدوية والذين هوايتهم القيام بذلك .. او القيام بالطرق التقليدية في اي مجال ان يقوموا بذلك كما يريدون .	en-ar
That's absolutely the right thing, for people to follow their self-interest.	ان هذا هو التصرف الصحيح للذين يريدون ان يلاحقوا اهتماماتهم الخاصة .	en-ar
I was somewhat interested in ancient Greek, but I don't think that we should force the entire population to learn a subject like ancient Greek.	Я когда-то интересовался древнегреческим, но я не думаю, что мы должны заставлять всех поголовно изучать древнегреческий.	en-ru
I don't think it's warranted.	انه امرٌ غير مبرر	en-ar
So I have this distinction between what we're making people do and the subject that's sort of mainstream and the subject that, in a sense, people might follow with their own interest and perhaps even be spiked into doing that.	Por isso faço a distinção entre o que estamos forçando as pessoas a fazer e o assunto que está na moda e o assunto que, de certo modo, as pessoas podem seguir por interesse próprio e talvez até serem incentivadas a isto.	en-pt-br
So what are the issues people bring up with this?	Welke problemen hebben mensen daarmee?	en-nl
Well one of them is, they say, you need to get the basics first.	Uno - dicono - è che prima bisogna avere le basi.	en-it
You shouldn't use the machine until you get the basics of the subject.	Не трябва да се използва машината, преди да се разберат основите на предмета.	en-bg
So my usual question is, what do you mean by "basics?"	DI solito la mia domanda a questo punto è, cosa si intende per basi?	en-it
Basics of what?	واساسيات ماذا ؟	en-ar
Are the basics of driving a car learning how to service it, or design it for that matter?	Czy do podstaw prowadzenia samochodu należą serwisowanie albo projektowanie?	en-pl
Are the basics of writing learning how to sharpen a quill?	Apakah dasar dari menulis adalah belajar untuk mengasah pena bulu?	en-id
I don't think so.	Jo no ho crec.	en-ca
I think you need to separate the basics of what you're trying to do from how it gets done and the machinery of how it gets done and automation allows you to make that separation.	Creo que hay que separar los fundamentos de lo que tratamos de hacer del cómo se hace y de la maquinaria del cómo se hace. Y la automatización permite hacer esa separación.	en-es
A hundred years ago, it's certainly true that to drive a car you kind of needed to know a lot about the mechanics of the car and how the ignition timing worked and all sorts of things.	Acum o sută de ani, cu certitudine era adevărat ca să conduci o mașină trebuia să știi multe despre mecanica mașinii și cum funcționa reglarea aprinderii și multe alte lucruri.	en-ro
But automation in cars allowed that to separate, so driving is now a quite separate subject, so to speak, from engineering of the car or learning how to service it.	Pero la automatización en los coches permitió separar eso, por eso ahora conducir es un tema bastante separado, por así decirlo, de la ingeniería del automóvil o de aprender a repararlo.	en-es
So automation allows this separation and also allows -- in the case of driving, and I believe also in the future case of maths -- a democratized way of doing that.	Автоматизацията позволява това разделение а и също - в случая с шофирането, както и вярвам в бъдещото на математиката - демократичен подход на действие.	en-bg
It can be spread across a much larger number of people who can really work with that.	Pode ser difundido por um número muito maior de pessoas que realmente consiga trabalhar com isto.	en-pt-br
So there's another thing that comes up with basics.	İşin temelleriyle birlikte ortaya çıkan başka bir şey daha var.	en-tr
People confuse, in my view, the order of the invention of the tools with the order in which they should use them for teaching.	Les gens confondent, selon moi, l'ordre d'apparition des outils avec l'ordre dans lequel ils devraient être enseignés.	en-fr
So just because paper was invented before computers, it doesn't necessarily mean you get more to the basics of the subject by using paper instead of a computer to teach mathematics.	Просто от того, что бумага была изобретена раньше компьютеров, совсем не следует, что мы узнаем больше об основах предмета, если будем использовать бумагу вместо компьютера чтобы учить математике.	en-ru
My daughter gave me a rather nice anecdote on this.	Mia figlia mi ha fornito un divertente aneddoto su questo.	en-it
She enjoys making what she calls "paper laptops."	그녀는 그녀가 종이 랩탑이라 부르는 것을 만들기를 좋아합니다.	en-ko
(Laughter) So I asked her one day, "You know, when I was your age, I didn't make these.	(Râsete) Așa că am întrebat-o într-o zi, "Știi, când eram de vârsta ta, eu nu făceam din astea.	en-ro
Why do you think that was?"	Pourquoi à ton avis?"	en-fr
And after a second or two, carefully reflecting, she said, "No paper?"	她很仔细地想了一两秒，然后她说，“没有纸吗？”	en-zh-cn
(Laughter) If you were born after computers and paper, it doesn't really matter which order you're taught with them in, you just want to have the best tool.	(risate) Se siete nati dopo i computer e la carta, non importa davvero in che ordine si insegnino, conta solo avere lo strumento migliore.	en-it
So another one that comes up is "Computers dumb math down."	コンピュータが数学のレベルを下げると言う人もいます	en-ja
That somehow, if you use a computer, it's all mindless button-pushing, but if you do it by hand, it's all intellectual.	yani bir biçimde, eğer bilgisayar kullanırsanız yalnızca boş boş tuşlara basmak olacağını savlıyor ama elle hesaplarsanız. bu tümüyle entelektüel bir iş durumuna geçiyor.	en-tr
This one kind of annoys me, I must say.	Celle-là m'énerve un peu, je dois le reconnaître.	en-fr
Do we really believe that the math that most people are doing in school practically today is more than applying procedures to problems they don't really understand, for reasons they don't get?	現在学校で学生たちは理解していない問題を解かされその必要性も理解していませんでもこれが本来の状況ではないとでも思いますか？	en-ja
And what's worse, what they're learning there isn't even practically useful anymore.	또 더욱 안좋은 것은, 그들이 거기서 배우는 것은 더이상 실제적으로 유용하지 않다는 것입니다.	en-ko
Might have been 50 years ago, but it isn't anymore.	Elli yıl önce belki vardı ama artık yok.	en-tr
When they're out of education, they do it on a computer.	社会に出たらコンピュータを使う事になります	en-ja
Just to be clear, I think computers can really help with this problem, actually make it more conceptual.	למען הסר ספק, אני סבור שמחשבים באמת יכולים לסייע בבעיה הזו, בעצם להפוך אותה ליותר מוחשית.	en-he
Now, of course, like any great tool, they can be used completely mindlessly, like turning everything into a multimedia show, like the example I was shown of solving an equation by hand, where the computer was the teacher -- show the student how to manipulate and solve it by hand.	Naturalmente, come qualsiasi altro grande strumento possono essere utilizzati in maniera completamente insulsa, come trasformare tutto in spettacolo multimediale, come l'esempio che mi è stato mostrato: come risolvere un'equazione a mano dove il computer era l'insegnante -- che mostra allo studente come trattarla e risolverla a mano.	en-it
This is just nuts.	そんなのおかしいです	en-ja
Why are we using computers to show a student how to solve a problem by hand that the computer should be doing anyway?	لماذا نستخدم الحواسيب لكي نعلم الطلاب كيفية الحساب اليدوي الذي يجب ان يقوم به الحاسوب من الاساس ؟	en-ar
All backwards.	Tutto al rovescio.	en-it
Let me show you that you can also make problems harder to calculate.	Belátható, hogy sokkal bonyolultabb problémákkal birkózhatunk meg.	en-hu
See, normally in school, you do things like solve quadratic equations.	학교에선 보통 학교에서는 보통 2차 방정식과 같은것을 하지요.	en-ko
But you see, when you're using a computer, you can just substitute.	但如果你用计算机来做，你仅需要做代换。	en-zh-cn
You can make it a quartic equation. Make it kind of harder, calculating-wise.	Să o facem o ecuație de gradul 4 ; mai grea, din punct de vedere al calculelor.	en-ro
Same principles applied -- calculations, harder.	同样的原理仍然适用，只是运算上更复杂。	en-zh-cn
And problems in the real world look nutty and horrible like this.	Gerçek dünyadaki problemler bu gördüğünüz gibi karmaşık ve delimsirektir.	en-tr
They've got hair all over them.	Pieni di segni e simboli.	en-it
They're not just simple, dumbed-down things that we see in school math.	Non sono solo le cose sciocche e semplici che abbiamo visto nella matematica della scuola.	en-it
And think of the outside world.	Помислете за външния свят.	en-bg
Do we really believe that engineering and biology and all of these other things that have so benefited from computers and maths have somehow conceptually gotten reduced by using computers?	هل نظن ان المهندسين وعلماء البيولوجيا وكل تلك المجالات التي تعتمد على الرياضيات والتي استفادت جداً من حل الرياضيات بواسطة الحاسوب هل نظن ان نتائجها او فوائدها قد باتت اقل بسبب استخدام الحاسوب	en-ar
I don't think so -- quite the opposite.	그렇게는 생각하지 않습니다. 사실은 상당히 반대지요.	en-ko
So the problem we've really got in math education is not that computers might dumb it down, but that we have dumbed-down problems right now.	数学教育でレベルが落ちているというのはコンピュータが引き起こしているのではなく私たち自身が引き起こしているのです	en-ja
Well, another issue people bring up is somehow that hand calculating procedures teach understanding.	好，另外還有個說法是說用手求算的程序多少有助於教導理解	en-zh-tw
So if you go through lots of examples, you can get the answer, you can understand how the basics of the system work better.	Deci dacă trecem prin multe exemple, poți să găsești răspunsul -- poți să înțelegi cum funcționează bazele sistemului.	en-ro
I think there is one thing that I think very valid here, which is that I think understanding procedures and processes is important.	Cred că e un singur lucru pe care îl consider valid aici, și anume cred că înțelegerea procedurilor și a proceselor e importantă.	en-ro
But there's a fantastic way to do that in the modern world.	Dar există un mod fantastic de a face asta în lumea modernă.	en-ro
It's called programming.	É chamado de programação.	en-pt-br
Programming is how most procedures and processes get written down these days, and it's also a great way to engage students much more and to check they really understand.	Programmierung ist die Art, wie die meisten Abläufe und Prozesse heutzutage niedergeschrieben werden, und sie ist auch ein großartiger Weg, um Schüler mehr einzubinden und zu überprüfen, ob sie wirklich verstehen.	en-de
If you really want to check you understand math then write a program to do it.	Wenn du wirklich überprüfen willst, ob du Mathematik verstehst, dann schreibe ein Programm dafür.	en-de
So programming is the way I think we should be doing that.	Programowanie to ścieżka do zrozumienia.	en-pl
So to be clear, what I really am suggesting here is we have a unique opportunity to make maths both more practical and more conceptual, simultaneously.	Tehát még egyszer: azt állítom, hogy egyedülálló lehetőség van előttünk, a matematikát egyszerre tehetjük praktikusabbá és mélyebbé.	en-hu
I can't think of any other subject where that's recently been possible.	同じような境遇にある科目は他にないでしょう	en-ja
It's usually some kind of choice between the vocational and the intellectual.	그것은 대개는 직업적인 것과 지성적인 것 사이에서의 몇가지 선택입니다.	en-ko
But I think we can do both at the same time here.	فبواسطة الرياضيات .. يمكنا القيام بالاثنين ..	en-ar
And we open up so many more possibilities.	更なる可能性が広がり	en-ja
You can do so many more problems.	فيمكنا ان نقوم بتدريس الكثير من المسائل الرياضية ..	en-ar
What I really think we gain from this is students getting intuition and experience in far greater quantities than they've ever got before.	Cái mà tôi nghĩ chúng ta đạt được từ chuyện này là học sinh sẽ có được hiểu biết trực giác và kinh nghiệm nhiều hơn hẳn những gì chúng đã nhận được trước đây.	en-vi
And experience of harder problems -- being able to play with the math, interact with it, feel it.	Zyskają doświadczenie przy trudnych zadaniach... Możliwość zabawy matematyką, interakcji z nią, czucia... Możliwość zabawy matematyką, interakcji z nią, czucia...	en-pl
We want people who can feel the math instinctively.	皆に数学を直感的に感じてほしいのです	en-ja
That's what computers allow us to do.	É isto que o computador nos permite fazer.	en-pt-br
Another thing it allows us to do is reorder the curriculum.	Кроме того, это позволяет нам изменить программу обучения.	en-ru
Traditionally it's been by how difficult it is to calculate, but now we can reorder it by how difficult it is to understand the concepts, however hard the calculating.	Traditionell wurde nach der Schwierigkeit der Berechnung geordnet, aber jetzt könnten wir ihn danach umstellen, wie schwierig es ist, die Konzepte zu verstehen, egal wie schwierig die Berechnungen sind.	en-de
So calculus has traditionally been taught very late.	Deci analiza matematică tradițional este predată foarte târziu.	en-ro
Why is this?	Peki neden?	en-tr
Well, it's damn hard doing the calculations, that's the problem.	Ei bine, e al naibii de greu de făcut calculele, asta e problema.	en-ro
But actually many of the concepts are amenable to a much younger age group.	В действителност много от идеите са достъпни в много по-ранна възраст.	en-bg
This was an example I built for my daughter.	Đây là ví dụ tôi dành cho con gái mình.	en-vi
And very, very simple.	Bardzo prosty.	en-pl
We were talking about what happens when you increase the number of sides of a polygon to a very large number.	Kita sedang berbincang tentang apa yang terjadi saat anda meningkatkan jumlah sisi-sisi sebuah segi banyak ke sebuah angka yang sangat besar.	en-id
And of course, it turns into a circle.	Naturalmente diventa un cerchio.	en-it
And by the way, she was also very insistent on being able to change the color, an important feature for this demonstration.	Ze stond er overigens op dat ze de kleur kon veranderen, een belangrijk feature voor deze demonstratie.	en-nl
You can see that this is a very early step into limits and differential calculus and what happens when you take things to an extreme -- and very small sides and a very large number of sides.	Gördüğünüz gibi bu, limit ve diferansiyel analize doğru atılmış çok erken bir adım durumları maksimum ya da minimuma götürdüğünüzde çok az sayıda ya da çok fazla sayıda kenarlı durumlarda ne olduğunu görebilmeniz için.	en-tr
Very simple example.	Un ejemplo muy simple.	en-es
That's a view of the world that we don't usually give people for many, many years after this.	И это тот взгляд на мир, который мы прячем от людей еще много-много лет.	en-ru
And yet, that's a really important practical view of the world.	Y, sí, es una visión práctica del mundo realmente importante.	en-es
So one of the roadblocks we have in moving this agenda forward is exams.	Eine der Hürden, die wir im Vorantreiben dieser Vorstellungen vorfinden, sind Prüfungen.	en-de
In the end, if we test everyone by hand in exams, it's kind of hard to get the curricula changed to a point where they can use computers during the semesters.	試験において手で計算することが強いられると授業でコンピュータを使うようにカリキュラムを変更するのは難しくなります	en-ja
And one of the reasons it's so important -- so it's very important to get computers in exams.	그리고 그것이 그렇게 중요한 이유중의 하나는-- 시험에서 컴퓨터를 이용하는 것이 매우 중요하기 때문이지요.	en-ko
And then we can ask questions, real questions, questions like, what's the best life insurance policy to get? -- real questions that people have in their everyday lives.	Dan kita dapat menanyakan pertanyaan, pertanyaan yang nyata, pertanyaan seperti, asuransi jiwa manakah yang terbaik untuk dibeli? -- pertanyaan nyata yang ditemui orang-orang dalam keseharian mereka.	en-id
And you see, this isn't some dumbed-down model here.	Ez itt nem egy lebutított modell.	en-hu
This is an actual model where we can be asked to optimize what happens.	Ăsta este un model real în care putem să fim întrebați ce se întâmplă	en-ro
How many years of protection do I need?	quantos anos de proteção você necessita?	en-pt-br
What does that do to the payments and to the interest rates and so forth?	Čo to spraví so splátkami a mierou úrokov a tak ďalej?	en-sk
Now I'm not for one minute suggesting it's the only kind of question that should be asked in exams, but I think it's a very important type that right now just gets completely ignored and is critical for people's real understanding.	저는 그것이 시험에서 질문받는 단 한가지의 질문이어야 한다고 제안하는 것은 아니지만 제 생각에 그것은 현재 완전히 무시당하고 있는 중요한 종류이고 사람들의 참된 이해를 위해서 결정적으로 중요한 것입니다.	en-ko
So I believe [there is] critical reform we have to do in computer-based math.	Je crois en la réforme critique que l'on doit faire pour les maths informatiques.	en-fr
We have got to make sure that we can move our economies forward, and also our societies, based on the idea that people can really feel mathematics.	Nous devons faire en sorte de pouvoir faire avancer l'économie, et nos sociétés, en se basant sur l'idée que les gens ressentent les mathématiques.	en-fr
This isn't some optional extra.	אין זה לוקסוס מיותר.	en-he
And the country that does this first will, in my view, leapfrog others in achieving a new economy even, an improved economy, an improved outlook.	これを実践する最初の国が私の意見では大きな飛躍をして新しい経済を創造し経済や先行きがより良いものになると考えます	en-ja
In fact, I even talk about us moving from what we often call now the "knowledge economy" to what we might call a "computational knowledge economy," where high-level math is integral to what everyone does in the way that knowledge currently is.	其實我談的甚至牽涉到把我們常說的知識經濟推移到我們或可稱為計算知識經濟的地步那時高端數學是人人從事工作的一部分如同今日從事工作需要知識一般	en-zh-tw

See, the thing we're doing right now is we're forcing people to learn mathematics.

Vean, lo que estamos haciendo ahora es forzar a la gente a aprender matemáticas.

en-es

It's a major subject.

Matematika adalah subjek utama.

en-id

I'm not for one minute suggesting that, if people are interested in hand calculating or in following their own interests in any subject however bizarre -- they should do that.

انا لا انفي لدقيقة واحدة ان الذين يهتمون بالحسابات اليدوية والذين هوايتهم القيام بذلك .. او القيام بالطرق التقليدية في اي مجال ان يقوموا بذلك كما يريدون .

en-ar

That's absolutely the right thing, for people to follow their self-interest.

ان هذا هو التصرف الصحيح للذين يريدون ان يلاحقوا اهتماماتهم الخاصة .

en-ar

I was somewhat interested in ancient Greek, but I don't think that we should force the entire population to learn a subject like ancient Greek.

Я когда-то интересовался древнегреческим, но я не думаю, что мы должны заставлять всех поголовно изучать древнегреческий.

en-ru

I don't think it's warranted.

انه امرٌ غير مبرر

en-ar

So I have this distinction between what we're making people do and the subject that's sort of mainstream and the subject that, in a sense, people might follow with their own interest and perhaps even be spiked into doing that.

Por isso faço a distinção entre o que estamos forçando as pessoas a fazer e o assunto que está na moda e o assunto que, de certo modo, as pessoas podem seguir por interesse próprio e talvez até serem incentivadas a isto.

en-pt-br

So what are the issues people bring up with this?

Welke problemen hebben mensen daarmee?

en-nl

Well one of them is, they say, you need to get the basics first.

Uno - dicono - è che prima bisogna avere le basi.

en-it

You shouldn't use the machine until you get the basics of the subject.

Не трябва да се използва машината, преди да се разберат основите на предмета.

en-bg

So my usual question is, what do you mean by "basics?"

DI solito la mia domanda a questo punto è, cosa si intende per basi?

en-it

Basics of what?

واساسيات ماذا ؟

en-ar

Are the basics of driving a car learning how to service it, or design it for that matter?

Czy do podstaw prowadzenia samochodu należą serwisowanie albo projektowanie?

en-pl

Are the basics of writing learning how to sharpen a quill?

Apakah dasar dari menulis adalah belajar untuk mengasah pena bulu?

en-id

I don't think so.

Jo no ho crec.

en-ca

I think you need to separate the basics of what you're trying to do from how it gets done and the machinery of how it gets done and automation allows you to make that separation.

Creo que hay que separar los fundamentos de lo que tratamos de hacer del cómo se hace y de la maquinaria del cómo se hace. Y la automatización permite hacer esa separación.

en-es

A hundred years ago, it's certainly true that to drive a car you kind of needed to know a lot about the mechanics of the car and how the ignition timing worked and all sorts of things.

Acum o sută de ani, cu certitudine era adevărat ca să conduci o mașină trebuia să știi multe despre mecanica mașinii și cum funcționa reglarea aprinderii și multe alte lucruri.

en-ro

But automation in cars allowed that to separate, so driving is now a quite separate subject, so to speak, from engineering of the car or learning how to service it.

Pero la automatización en los coches permitió separar eso, por eso ahora conducir es un tema bastante separado, por así decirlo, de la ingeniería del automóvil o de aprender a repararlo.

en-es

So automation allows this separation and also allows -- in the case of driving, and I believe also in the future case of maths -- a democratized way of doing that.

Автоматизацията позволява това разделение а и също - в случая с шофирането, както и вярвам в бъдещото на математиката - демократичен подход на действие.

en-bg

It can be spread across a much larger number of people who can really work with that.

Pode ser difundido por um número muito maior de pessoas que realmente consiga trabalhar com isto.

en-pt-br

So there's another thing that comes up with basics.

İşin temelleriyle birlikte ortaya çıkan başka bir şey daha var.

en-tr

People confuse, in my view, the order of the invention of the tools with the order in which they should use them for teaching.

Les gens confondent, selon moi, l'ordre d'apparition des outils avec l'ordre dans lequel ils devraient être enseignés.

en-fr

So just because paper was invented before computers, it doesn't necessarily mean you get more to the basics of the subject by using paper instead of a computer to teach mathematics.

Просто от того, что бумага была изобретена раньше компьютеров, совсем не следует, что мы узнаем больше об основах предмета, если будем использовать бумагу вместо компьютера чтобы учить математике.

en-ru

My daughter gave me a rather nice anecdote on this.

Mia figlia mi ha fornito un divertente aneddoto su questo.

en-it

She enjoys making what she calls "paper laptops."

그녀는 그녀가 종이 랩탑이라 부르는 것을 만들기를 좋아합니다.

en-ko

(Laughter) So I asked her one day, "You know, when I was your age, I didn't make these.

(Râsete) Așa că am întrebat-o într-o zi, "Știi, când eram de vârsta ta, eu nu făceam din astea.

en-ro

Why do you think that was?"

Pourquoi à ton avis?"

en-fr

And after a second or two, carefully reflecting, she said, "No paper?"

她很仔细地想了一两秒，然后她说，“没有纸吗？”

en-zh-cn

(Laughter) If you were born after computers and paper, it doesn't really matter which order you're taught with them in, you just want to have the best tool.

(risate) Se siete nati dopo i computer e la carta, non importa davvero in che ordine si insegnino, conta solo avere lo strumento migliore.

en-it

So another one that comes up is "Computers dumb math down."

コンピュータが数学のレベルを下げると言う人もいます

en-ja

That somehow, if you use a computer, it's all mindless button-pushing, but if you do it by hand, it's all intellectual.

yani bir biçimde, eğer bilgisayar kullanırsanız yalnızca boş boş tuşlara basmak olacağını savlıyor ama elle hesaplarsanız. bu tümüyle entelektüel bir iş durumuna geçiyor.

en-tr

This one kind of annoys me, I must say.

Celle-là m'énerve un peu, je dois le reconnaître.

en-fr

Do we really believe that the math that most people are doing in school practically today is more than applying procedures to problems they don't really understand, for reasons they don't get?

現在学校で学生たちは理解していない問題を解かされその必要性も理解していませんでもこれが本来の状況ではないとでも思いますか？

en-ja

And what's worse, what they're learning there isn't even practically useful anymore.

또 더욱 안좋은 것은, 그들이 거기서 배우는 것은 더이상 실제적으로 유용하지 않다는 것입니다.

en-ko

Might have been 50 years ago, but it isn't anymore.

Elli yıl önce belki vardı ama artık yok.

en-tr

When they're out of education, they do it on a computer.

社会に出たらコンピュータを使う事になります

en-ja

Just to be clear, I think computers can really help with this problem, actually make it more conceptual.

למען הסר ספק, אני סבור שמחשבים באמת יכולים לסייע בבעיה הזו, בעצם להפוך אותה ליותר מוחשית.

en-he

Now, of course, like any great tool, they can be used completely mindlessly, like turning everything into a multimedia show, like the example I was shown of solving an equation by hand, where the computer was the teacher -- show the student how to manipulate and solve it by hand.

Naturalmente, come qualsiasi altro grande strumento possono essere utilizzati in maniera completamente insulsa, come trasformare tutto in spettacolo multimediale, come l'esempio che mi è stato mostrato: come risolvere un'equazione a mano dove il computer era l'insegnante -- che mostra allo studente come trattarla e risolverla a mano.

en-it

This is just nuts.

そんなのおかしいです

en-ja

Why are we using computers to show a student how to solve a problem by hand that the computer should be doing anyway?

لماذا نستخدم الحواسيب لكي نعلم الطلاب كيفية الحساب اليدوي الذي يجب ان يقوم به الحاسوب من الاساس ؟

en-ar

All backwards.

Tutto al rovescio.

en-it

Let me show you that you can also make problems harder to calculate.

Belátható, hogy sokkal bonyolultabb problémákkal birkózhatunk meg.

en-hu

See, normally in school, you do things like solve quadratic equations.

학교에선 보통 학교에서는 보통 2차 방정식과 같은것을 하지요.

en-ko

But you see, when you're using a computer, you can just substitute.

但如果你用计算机来做，你仅需要做代换。

en-zh-cn

You can make it a quartic equation. Make it kind of harder, calculating-wise.

Să o facem o ecuație de gradul 4 ; mai grea, din punct de vedere al calculelor.

en-ro

Same principles applied -- calculations, harder.

同样的原理仍然适用，只是运算上更复杂。

en-zh-cn

And problems in the real world look nutty and horrible like this.

Gerçek dünyadaki problemler bu gördüğünüz gibi karmaşık ve delimsirektir.

en-tr

They've got hair all over them.

Pieni di segni e simboli.

en-it

They're not just simple, dumbed-down things that we see in school math.

Non sono solo le cose sciocche e semplici che abbiamo visto nella matematica della scuola.

en-it

And think of the outside world.

Помислете за външния свят.

en-bg

Do we really believe that engineering and biology and all of these other things that have so benefited from computers and maths have somehow conceptually gotten reduced by using computers?

هل نظن ان المهندسين وعلماء البيولوجيا وكل تلك المجالات التي تعتمد على الرياضيات والتي استفادت جداً من حل الرياضيات بواسطة الحاسوب هل نظن ان نتائجها او فوائدها قد باتت اقل بسبب استخدام الحاسوب

en-ar

I don't think so -- quite the opposite.

그렇게는 생각하지 않습니다. 사실은 상당히 반대지요.

en-ko

So the problem we've really got in math education is not that computers might dumb it down, but that we have dumbed-down problems right now.

数学教育でレベルが落ちているというのはコンピュータが引き起こしているのではなく私たち自身が引き起こしているのです

en-ja

Well, another issue people bring up is somehow that hand calculating procedures teach understanding.

好，另外還有個說法是說用手求算的程序多少有助於教導理解

en-zh-tw

So if you go through lots of examples, you can get the answer, you can understand how the basics of the system work better.

Deci dacă trecem prin multe exemple, poți să găsești răspunsul -- poți să înțelegi cum funcționează bazele sistemului.

en-ro

I think there is one thing that I think very valid here, which is that I think understanding procedures and processes is important.

Cred că e un singur lucru pe care îl consider valid aici, și anume cred că înțelegerea procedurilor și a proceselor e importantă.

en-ro

But there's a fantastic way to do that in the modern world.

Dar există un mod fantastic de a face asta în lumea modernă.

en-ro

It's called programming.

É chamado de programação.

en-pt-br

Programming is how most procedures and processes get written down these days, and it's also a great way to engage students much more and to check they really understand.

Programmierung ist die Art, wie die meisten Abläufe und Prozesse heutzutage niedergeschrieben werden, und sie ist auch ein großartiger Weg, um Schüler mehr einzubinden und zu überprüfen, ob sie wirklich verstehen.

en-de

If you really want to check you understand math then write a program to do it.

Wenn du wirklich überprüfen willst, ob du Mathematik verstehst, dann schreibe ein Programm dafür.

en-de

So programming is the way I think we should be doing that.

Programowanie to ścieżka do zrozumienia.

en-pl

So to be clear, what I really am suggesting here is we have a unique opportunity to make maths both more practical and more conceptual, simultaneously.

Tehát még egyszer: azt állítom, hogy egyedülálló lehetőség van előttünk, a matematikát egyszerre tehetjük praktikusabbá és mélyebbé.

en-hu

I can't think of any other subject where that's recently been possible.

同じような境遇にある科目は他にないでしょう

en-ja

It's usually some kind of choice between the vocational and the intellectual.

그것은 대개는 직업적인 것과 지성적인 것 사이에서의 몇가지 선택입니다.

en-ko

But I think we can do both at the same time here.

فبواسطة الرياضيات .. يمكنا القيام بالاثنين ..

en-ar

And we open up so many more possibilities.

更なる可能性が広がり

en-ja

You can do so many more problems.

فيمكنا ان نقوم بتدريس الكثير من المسائل الرياضية ..

en-ar

What I really think we gain from this is students getting intuition and experience in far greater quantities than they've ever got before.

Cái mà tôi nghĩ chúng ta đạt được từ chuyện này là học sinh sẽ có được hiểu biết trực giác và kinh nghiệm nhiều hơn hẳn những gì chúng đã nhận được trước đây.

en-vi

And experience of harder problems -- being able to play with the math, interact with it, feel it.

Zyskają doświadczenie przy trudnych zadaniach... Możliwość zabawy matematyką, interakcji z nią, czucia... Możliwość zabawy matematyką, interakcji z nią, czucia...

en-pl

We want people who can feel the math instinctively.

皆に数学を直感的に感じてほしいのです

en-ja

That's what computers allow us to do.

É isto que o computador nos permite fazer.

en-pt-br

Another thing it allows us to do is reorder the curriculum.

Кроме того, это позволяет нам изменить программу обучения.

en-ru

Traditionally it's been by how difficult it is to calculate, but now we can reorder it by how difficult it is to understand the concepts, however hard the calculating.

Traditionell wurde nach der Schwierigkeit der Berechnung geordnet, aber jetzt könnten wir ihn danach umstellen, wie schwierig es ist, die Konzepte zu verstehen, egal wie schwierig die Berechnungen sind.

en-de

So calculus has traditionally been taught very late.

Deci analiza matematică tradițional este predată foarte târziu.

en-ro

Why is this?

Peki neden?

en-tr

Well, it's damn hard doing the calculations, that's the problem.

Ei bine, e al naibii de greu de făcut calculele, asta e problema.

en-ro

But actually many of the concepts are amenable to a much younger age group.

В действителност много от идеите са достъпни в много по-ранна възраст.

en-bg

This was an example I built for my daughter.

Đây là ví dụ tôi dành cho con gái mình.

en-vi

And very, very simple.

Bardzo prosty.

en-pl

We were talking about what happens when you increase the number of sides of a polygon to a very large number.

Kita sedang berbincang tentang apa yang terjadi saat anda meningkatkan jumlah sisi-sisi sebuah segi banyak ke sebuah angka yang sangat besar.

en-id

And of course, it turns into a circle.

Naturalmente diventa un cerchio.

en-it

And by the way, she was also very insistent on being able to change the color, an important feature for this demonstration.

Ze stond er overigens op dat ze de kleur kon veranderen, een belangrijk feature voor deze demonstratie.

en-nl

You can see that this is a very early step into limits and differential calculus and what happens when you take things to an extreme -- and very small sides and a very large number of sides.

Gördüğünüz gibi bu, limit ve diferansiyel analize doğru atılmış çok erken bir adım durumları maksimum ya da minimuma götürdüğünüzde çok az sayıda ya da çok fazla sayıda kenarlı durumlarda ne olduğunu görebilmeniz için.

en-tr

Very simple example.

Un ejemplo muy simple.

en-es

That's a view of the world that we don't usually give people for many, many years after this.

И это тот взгляд на мир, который мы прячем от людей еще много-много лет.

en-ru

And yet, that's a really important practical view of the world.

Y, sí, es una visión práctica del mundo realmente importante.

en-es

So one of the roadblocks we have in moving this agenda forward is exams.

Eine der Hürden, die wir im Vorantreiben dieser Vorstellungen vorfinden, sind Prüfungen.

en-de

In the end, if we test everyone by hand in exams, it's kind of hard to get the curricula changed to a point where they can use computers during the semesters.

試験において手で計算することが強いられると授業でコンピュータを使うようにカリキュラムを変更するのは難しくなります

en-ja

And one of the reasons it's so important -- so it's very important to get computers in exams.

그리고 그것이 그렇게 중요한 이유중의 하나는-- 시험에서 컴퓨터를 이용하는 것이 매우 중요하기 때문이지요.

en-ko

And then we can ask questions, real questions, questions like, what's the best life insurance policy to get? -- real questions that people have in their everyday lives.

Dan kita dapat menanyakan pertanyaan, pertanyaan yang nyata, pertanyaan seperti, asuransi jiwa manakah yang terbaik untuk dibeli? -- pertanyaan nyata yang ditemui orang-orang dalam keseharian mereka.

en-id

And you see, this isn't some dumbed-down model here.

Ez itt nem egy lebutított modell.

en-hu

This is an actual model where we can be asked to optimize what happens.

Ăsta este un model real în care putem să fim întrebați ce se întâmplă

en-ro

How many years of protection do I need?

quantos anos de proteção você necessita?

en-pt-br

What does that do to the payments and to the interest rates and so forth?

Čo to spraví so splátkami a mierou úrokov a tak ďalej?

en-sk

Now I'm not for one minute suggesting it's the only kind of question that should be asked in exams, but I think it's a very important type that right now just gets completely ignored and is critical for people's real understanding.

저는 그것이 시험에서 질문받는 단 한가지의 질문이어야 한다고 제안하는 것은 아니지만 제 생각에 그것은 현재 완전히 무시당하고 있는 중요한 종류이고 사람들의 참된 이해를 위해서 결정적으로 중요한 것입니다.

en-ko

So I believe [there is] critical reform we have to do in computer-based math.

Je crois en la réforme critique que l'on doit faire pour les maths informatiques.

en-fr

We have got to make sure that we can move our economies forward, and also our societies, based on the idea that people can really feel mathematics.

Nous devons faire en sorte de pouvoir faire avancer l'économie, et nos sociétés, en se basant sur l'idée que les gens ressentent les mathématiques.

en-fr

This isn't some optional extra.

אין זה לוקסוס מיותר.

en-he

And the country that does this first will, in my view, leapfrog others in achieving a new economy even, an improved economy, an improved outlook.

これを実践する最初の国が私の意見では大きな飛躍をして新しい経済を創造し経済や先行きがより良いものになると考えます

en-ja

In fact, I even talk about us moving from what we often call now the "knowledge economy" to what we might call a "computational knowledge economy," where high-level math is integral to what everyone does in the way that knowledge currently is.

其實我談的甚至牽涉到把我們常說的知識經濟推移到我們或可稱為計算知識經濟的地步那時高端數學是人人從事工作的一部分如同今日從事工作需要知識一般

en-zh-tw