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[学习笔记] 学习笔记|XA0 |0519|TED-ed 一就是一吗? [推广有奖]

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XA0 学生认证  发表于 2019-5-19 03:22:53 |显示全部楼层 |坛友微信交流群

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主题为【学道会】活动,点击了解详情


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Which is correct: "A dozen eggs is?" Or "A dozen eggs are?"
哪个是正确的:a dozen eggs 'is' 还是 a dozen eggs 'are'?
I remember being in elementary school, and my teachers making a big deal about the unit.
我记得上小学的时候,我们老师教了很多数量单位词。
And I never really got that, until one day, I was in the grocery store, and I wanted to buy anapple, but I couldn't buy one apple. I had to buy a whole bag of apples.
但我从没有学会,直到有一天,我到杂货店买苹果(an apple),不过我不能买一个(one apple),而是必须买一整袋。
So I did. I bought one bag of apples, I took it home, I took one apple out of the bag, and I cutit up.
于是我买了一整袋苹果,把它拿回了家,我从袋子拿出一颗苹果并切开。

And then I ate one slice.


然后吃了一片。
One bag, one apple, one slice. Which of these is the real "one"?
一袋、一颗、一片。哪个才是真实的“一个”?
Well, they all are of course, and that's what my elementary teachers were trying to tell me.
好吧,它们当然都是,这正是我的小学老师一直试图告诉我的。
Because this is the important idea behind whole number place value, decimal place value andfractions.
因为这是一个关于整数、小数与分数的重要概念。
Our whole number system depends on being able to change what we count as "one".
我们所使用的整个数字系统要转换我们所熟悉的“一”。
Our whole number system depends on being able to change units.
我们所使用的数字系统要能够转换成单位。
There are two ways to change units.
有两个方式能够转换单位。
We can compose, and we can partition.
我们可以组合,也可以分割。
When we compose units, we take a bunch of things, we put them together to make a biggerthing, like a dozen eggs.
当我们组合单位时,把一大堆东西放在一起,让它们变得更大,比如一打鸡蛋。
We take 12 eggs, put them together to make a group, and we call that group a dozen.
我们把十二颗鸡蛋放在一起,组成一组,然后我们叫这一组为一打。
A dozen eggs is a composed unit.
一打鸡蛋就是一种组合单位。
Other examples of composed units include a deck of cards, a pair of shoes, a jazz quartet andof course, Barbie and Ken make a couple.
其他组合单位的例子包括:一副牌、一双鞋、爵士四重奏。当然还有芭比和肯尼组成的一对情侣。
But think about a loaf of bread.
但想想一条面包。
That's not a composed unit, because we don't get a bunch of slices from a bunch of differentbakeries and put them together to make a loaf.
它不是一种组合单位,因为我们不会从不同的面包店拿一堆面包片放在一起,变成一条面包。
No, we start with a loaf of bread and we cut it into smaller pieces called slices, so each slice ofbread is a partitioned unit.
我们不这样做,而是把一条面包切得更小,并叫它为一片面包,所以每一片面包就是一个分割单位。
Other examples of partitioned units include a square of a chocolate bar, a section of an orangeand a slice of pizza.
其他分割单位的例子包括:一块巧克力、一片柳橙,还有一片披萨


The important thing about units is that once we'vemade a new unit, we can treat it just like we did theold unit.
重要的是,一旦我们创造了新的单位,就能用旧单位那样的方法使用它。
We can compose composed units, and we canpartition partitioned units.
我们可以组成组合单位,也可以分成分割单位。
Think about toaster pastries.
想想看那些零食。
They come in packs of two, and then those packs get put together in sets of four to make abox.
它们两片包成一袋,然后再把四袋放在一起变成一盒。
So when I buy one box of toaster pastries, am I buying one thing, four things, or eight things?
所以我买一盒零食时,我是买了一个、四个、还是八个?
It depends on the unit.
这取决于单位。
One box, four packs, eight pastries.
一盒、四袋、八片。
And when I share a slice of pizza with a friend, we have to cut "it" into two smaller pieces.
当我跟朋友分享一片披萨时,我们必须将它切成更小的两片。
So a box of toaster pastries is composed of composed units, and when I split a slice ofpizza, I'm partitioning a partitioned unit.
所以一盒零食是由一个组合单位组成的,而当我切开一片披萨时,我正在切出一个分割单位。
But what does that have to do with math?
但这些到底跟数学有什么关系?
In math, everything is certain.
数学中,所有东西都是确定的。
Two plus two equals four, and one is just one.
2加2等于4,1就是1。
But that's not really right.
但也不尽然。
One isn't always one.
1不一定永远是1。
Here's why: we start counting at one, and we count up to nine: 1,2,3,4,5,6,7,8,9, and then weget to 10, and in order to write 10, we write a one and a zero.
这就是原因:我们从1开始数一直数到9──1、2、3、4、5、6、7、8、9,接下来就数到10了,而为了写下10这个数字,我们写了一个1和一个0。

That one means that we have one group, and the zero helps us remember that it means onegroup, not one thing.


其中的1就表示我们有了一个群组,而0帮助我们记得它是指一组,而不是一个。
But 10, just like one, just like a dozen eggs, just like an egg, 10 is a unit.
但是10就像1、一打鸡蛋或一颗鸡蛋一样,是一个单位。
And 10 tens make 100.
而十个10就构成了100。
So when I think about 100, it's like the box of toaster pastries.
所以当我们在想100是什么的时候,它就像那一盒零食。
Is 100 one thing, 10 things or 100 things?
100是一个、10个或是100个东西?
And that depends on what "one" is, it depends on what the unit is.
这取决于那个“一”指什么,它的单位是什么。
So think about all the times in math when you write the number one.
所以碰到数学需要写一的时候,要一直想着这件事。
No matter what place that one is in, no matter how many things that one represents, one is.
不管这个一是放在哪个位置,不管这个一里有多少东西,它就是一。



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关键词:学习笔记 TED 习笔记 Partitioning Elementary

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cszcszcsz 发表于 2019-5-19 05:54:31 |显示全部楼层 |坛友微信交流群

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充实每一天 发表于 2019-5-19 06:27:08 来自手机 |显示全部楼层 |坛友微信交流群
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XA0 学生认证  发表于 2019-5-19 06:58:38 |显示全部楼层 |坛友微信交流群
a composed unit

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珍惜点滴 学生认证  发表于 2019-5-19 11:07:53 |显示全部楼层 |坛友微信交流群
感谢分享,向您学习,为您点赞!

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sulight 学生认证  发表于 2019-5-19 13:52:06 |显示全部楼层 |坛友微信交流群
但我从没有学会,直到有一天,我到杂货店买苹果(an apple),不过我不能买一个(one apple),而是必须买一整袋。
So I did. I bought one bag of apples, I took it home, I took one apple out of the bag, and I cutit up.
于是我买了一整袋苹果,把它拿回了家,我从袋子拿出一颗苹果并切开。

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胡明敏 发表于 2019-5-23 20:33:25 |显示全部楼层 |坛友微信交流群
谢谢分享

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