This multiplication table will help you.

这个乘法会对你有帮助。

They're still trying to learn how to do their multiplication tables, you know.

他们还在努力学习如何做乘法。

Mary did not. She only knew her tables as far as six times twelve.

玛丽不知道，她乘法只学到了6乘12。

Some times tables work more nicely in base twelve, some work more nicely in base ten.

有些乘法在使用十二进制时运用得更好，有些是使用十进制时运用得更好。

I've never done this, so...four times table in base twelve. OK.

我从没这么做过，所以… … 在十二进制里四倍乘法。好。

Now, if we know our 12 times tables we know that this is equal to 108.

如果我们知道 12 乘法，那么我们就知道这个数等于 108。

But it will also provide an opportunity to teach the kids more than multiplication tables and reading assignments.

但这也提供了一个机会，不再只是教孩子们乘法和阅读作业。

Now children, let's review our multiplication tables.

孩子们 现在复习乘法。

For instance, for most educated adults, solving a complicated equation has a higher cognitive load than reciting the multiplication table.

例如，对于大多数受过教育成说，解决一个复杂方程比背诵乘法有更高认知负荷。

Yes, I just want him to be able to do his times table.

行 我只想他能算乘法。

She's gotta learn her times tables.

她要学会乘法。

Another way to think about it is we're  basically constructing a multiplication table.

另一种思考方式是，我们基本上是在构建一个乘法。

One simple method is to practice repeating information aloud, like reciting multiplication tables or vocabulary words.

一种简单方法是大声练习重复信息，例如背诵乘法或词汇。

If I thought the multiplication table would help me any I would recite it from now till tomorrow morning.

如果我认为乘法对我有任何帮助，我会从现在到明天早上背诵它。

If mathematicians followed the same method, high school texts on algebra and geometry would include the multiplication table and fractions.

如果数学家采用相同方法，高中代数和几何课本将包括乘法和分数。

As it happens, though, these two groups are really the same, in the sense that their multiplication tables will look identical.

然而，碰巧是，这两组实际上是相同，从某种意义上说， 它们乘法看起是相同。

This is entirely analogous to how the usual multiplication table is written symbolically, which abstracts away from the idea of literal counts.

这完全类似于通常乘法符号书写方式，它抽象了字面计数概念。

Soon that lesson was learned, and then another, and another, till at last she could say from twice one to twelve times twelve without a mistake!

很快，她就学会了这一课，一课又一课，最后她终于可以完美地算出两次一到十二乘法！

Now if you don't like my story, then go to the schoolroom and learn your multiplication-table, and see if you like that better.

现在，如果你不喜欢我故事， 那就去教室学习你乘法， 看看你是否更喜欢它。

Create this kind of multiplication table with all Pairwise products and then each sum along the diagonal, corresponds to one of your final outputs.

使用所有成对乘积创建这种乘法，然后沿对角线每个和对应于您最终输出之一。