Do time table charts have to be memorized? The recommendation here is that the time table charts must be seen as a dynamic synergistic combination of a pattern. kids must see mathematics as a fact, and do not always have to calculate multiplication by “manual.” For example 7 x 6 = 42 is a fact, it does not have to count 6 + 6 + 6 + 6 + 6 + 6 + 6 = 42. So it is not only memorized , but understand the pattern. So that when the multiplication is exchanged into a division, the kid immediately understands.
The following are the reasons why multiplication tables must be mastered by children (Translated from Shriram Krishnamurthi, Professor of Computer Science, Brown):
There are very simple and important reasons why kids, and everyone, must memorize basic time table charts.
A lot of life involves making decisions quite quickly and quite precisely with data. Sometimes this is a decision that other people need answers to “how many posters do I have to print?”, And at other times they check the claims of others instantly “I think we should print N posters”. This is basically a Fermi problem, although they have nothing to do with engineering or science.
To do the Fermi problem requires two things: having an estimate of the number in the real world, and counting quickly. Each is a acquired skill, and both are important. And these things also interact a little: your ability to do arithmetic affects the way you estimate (for example, when given a range of values for estimates, you can choose one that makes arithmetic easier).
You cannot do this without basic arithmetic. You can do this with basic knowledge of facts and basic arithmetic. And life becomes more manageable with this ability. I know I do this all the time – either answering questions for others (from counting poster numbers, server capacity, to employee costs) or re-checking claims in news articles – and can do it efficiently and well because I have embedded arithmetic in me . If doing this takes time or requires a calculator, you won’t think of it as “primitive,” and then you will rarely do it at all. (As Whitehead said, “Civilization advances by extending the important operations which we can perform without thinking about them.”)
The time table charts is our beginning to understand quantity and size, which is a very basic life skill. You can learn this in other ways too – and developing real physical intuition for this is also important – but sooner or later you will be more effective if you can make abstracts on physical entities, and this abstraction is called arithmetic.