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喜欢科学,偏爱自然科学。也喜欢技术,儿时喜围观打锡壶的和锔盆锔锅的。当过工人,当过兵,第二故乡是湖南、广西和广东。

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谁都能学好数学  

2015-07-27 15:56:00|  分类: 教育与文艺 |  标签: |举报 |字号 订阅

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(1)

我们社会中存在的一个大问题是人们相信有“数学基因”或“数学大脑”。现在我们有大量证据证明事实并非如此,实际情况是,经过神经科学认可的新的脑证据显示:每一个人都能学习数学到高水平,因为脑能改变,定向生长。

可是教师们所传递的信息,学校和父母们也一样,是有些孩子能学好数学而有些孩子不能,这对儿童有巨大影响:一旦他们得到某些人你们学不好数学的信息他们就移情别处了。我们确切地知道通过教师、通过父母给予孩子们的信息是极具影响力的。如果你相信你能学好数学,这就会实际改变你的脑子处理数学的方式。这是相信的重要性。

(29m52s) One of the biggest problems we have in our society is people believes there is a math-gene or a math-brain. We now have a lot of evidence that isn’t the case. And actually the neuroscience agreed new brain evidence shows that everybody can learn math to high levels because brains can change, (grow at?) that.

But teachers actually communicate, and schools and parents as well, that some kids can do math and some kids can’t. That has a huge impact on children, as soon as they get the message that somebody you can’t do math they turn away from it. So we do know that the messages given to kids through teachers, through parents are extremely influential. And actually if you believe that you can do math it actually changes the way your brain works with math. That’s the importance that believes are.

(2)

下面是这个问题。这是一个经典数学问题,人为设置的味道明显。是一个洗澡盆与两个水流速度不一样的水龙头,可能听着挺熟悉吧。一个水龙头如果它自己放水的话能用一小时时间充满澡盆;另一个水龙头如果自己放水的话能用半小时充满。现在的问题是,如果两个水龙头一起放水,多长时间后水能充满澡盆呢?……

好吧,我再重复一遍问题。一个水龙头能用一小时充满澡盆;另一个能用半小时充满澡盆。当他们一起工作时,用多长时间充满这个澡盆呢?

(40m57s) Here is the question. It’s one of the classic math problems, very artificial. It’s a bath tub with two faucets running at different speeds, probably sound familiar. So one of them would fill the tub in one hour if it running itself; the other one would fill the tub in a half hour running by itself. Now the question is if both running together, how long would take them working together to fill the tub? …

Ok, I’ll repeat the question. One of the faucets can fill the tub in an hour; the other can fill it in a half hour. When they run together, how long will take them to fill the tub?

(3)

有一个很容易的方式来解它。如果一个龙头能用一小时充满一个澡盆,另一个龙头能用半小时充满一个澡盆也就是一小时能充满两个澡盆,那么他们一起就能用一小时充满三个澡盆。结果就出来了:20分钟充满一个澡盆。

——《科学星期五音频播客》/《第一小时节目》,美国PRI 2015.7.3

(43m59s) There is a really easy way to see it. If one of them can fill one tub per hour and the other fills a tub in a half hour that’s two tubs per hour, so together they fill three tubs per hour. That’s it. That’s one tub in twenty minutes.

-- Science Friday Audio Podcast / Hr 1: These Brains Changed Neuroscience… PRI 2015.7.3

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