今天我们学第九课。
你可能常常会想,为什么我们学生要学一些与我们自己生活无关的东西。
You may often wonder why we students should study something that has nothing to do with our own lives.
让我们学唱圣歌吧。
首先,只有采取行动,我们才能找到解决这些问题的最好方法,但仅仅旁观的话,我们学不到任何有意义的东西。
To begin with, only by taking actions can we find the best way to solve those problems we are facing, but as a bystander, we can learn nothing meaningful.
我们学的内容非常广泛和自由。
我们学跳舞,唱歌,游泳和绘画。
你们还记得上节课我们学的东西吗?
我建议他跟我们学,他回答说:“我们不行。”
When I suggested that he follow our example, he replied, "We can't."
毕竟我们学的这些,是来理解力和力所做的功。
Because, after all, how we got to this was coming from and trying to understand forces and the work they do.
在这节课上我们学一首新歌。
我们学英语,而他们学德语。
感谢他们,我们学的知识。
一定要记住今天我们学的。
你们能帮我们学英语吗?
他们帮助我们学英语。
必须仔细检查不然我们学不到什么的,这里n=1的壳。
We learn nothing from examining what is going on down here in n equals one shell.
他帮我们学英语。
在学校里,我们学的是如何死记硬背,如何更好地接受老师的教诲。
现在既然华尔街的一套证明是靠不住的那么他们还能向我们学什么呢?
What happens next, now that Wall Street has proven an unreliable compass point?
这不是他不顾自己的伟大而做这杂务,乃是因为他的伟大,以及他期望我们学效他的榜样。
It wasn't in spite of his greatness that he did these things, but because of it, and he expects us to follow his example.
现在这个时代是这样的,无论我们学什么新技术,新系统,新风格,新技能,它们全都在变化,所以我们不得不另外学习新的。
Now by the time we master some new technology, system, style, or skill, it all changes, and we have to learn a new one.
我们学的东西必定都有它的价值,老师的工作也有报酬。然而这并不是说这些资源,一旦被大家获得就只能为所有者来使用。
While education definitely has value – teachers are paid for the work – that does not mean that resources, once captured, should be tightly restricted to authorized users only.
所以这样的书单列表不再有什么用了.学校教给我们的不是最合适的数学,并且方式也不对.不奇怪程序员认为他们不再需要数学:我们学的大部分数学知识对我们的工作没什么大的帮助.
Schools are teaching us the wrong math, and they're teaching it the wrong way. It's no wonder programmers think they don't need any math: most of the math we learned isn't helping us.
将新知识和我们已学的知识联系起来能让我们更容易记住新知识。
Connecting new knowledge to what we have learnt can help us remember new knowledge more easily.
如果你喊“是”,我喊“不是”,我们都学不到什么。
If you yell, "yes," and I yell, "No," neither of us learns anything.
因此,爸爸坚持让我们每天至少学一样新东西。
Thus, papa insisted that we learn at least one new thing each day.
只有我们三人学高级课程。
只有我们三人学高级课程。
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