You have repeatedly heard the opinion that the level of mathematical education falls. In the second grade when booking, the foundation of mathematical education arises the main problem - in the multiplication table. Look at the notebook in the cage that your schoolchildren have at all - this is a picture.
There are notebooks even worse (for high school students) on which there are no multiplication tables, but there is a bunch of meaningless formulas.
Well, what is the bad thing about bad? Nothing suspecting parent sees that there is a multiplication table on the notebook. It seems that the whole life on the notebooks was the multiplication table? What is not so?
And the problem is exactly the fact that the notebook is not a multiplication table.
Multiplication table, dear my readers, this is:
Sometimes the same table is even called the beautiful word "Table Pythagora". Upper and left columns can not be taken, only the main rectangle.
First, this is a table. Secondly, she is interesting!
No child in the right mind will not consider examples discharged by columns.
No child, as if he was ingenious, he could not find interesting chips and patterns in the examples.
Well, and in general, when the teacher says: "Learn the multiplication table", and the child even sees the table - he immediately understands that mathematics is such a science where ordinary things are named somehow differently and it is necessary to many -Mone toolch, and nothing is impossible to understand. And in general, it is necessary to do "as it is said", and not "as it makes sense."
What is the "table" better?
First, it has no garbage and information noise in the form of the left side of the examples.
Secondly, you might think over it. It is not even written anywhere here that this is a multiplication - just a table.
Thirdly, if she is constantly at hand and the child is constantly bumping on it, he begins to memorize these numbers. In particular, the question "family eight" it will never answer 55 - after all, the number 55 in general there is no table in the table!
For example, only children with abnormal memory are capable of remembering the columns. In the "Table" it is necessary to memorize much less.
In addition, the child is looking for regularities with automatic. And he himself finds them. Even such patterns find children who can not multiply.
For example: numbers, symmetrical relative to the diagonal - are equal. You see, the human brain is simply configured to look for symmetry, and if it finds it and notices - it is very rejoicing. And what does it mean? This means that the work is not changing from the permutation of the facilities of the factors (or that multiplication of commutative, speaking easier).
You see, the child notices it himself! And the fact that a person came up with himself, he will remember forever, in contrast to the fact that he sucks or he was told.
Remember your exam in the university in mathematics? You forgot all the course theorems, except for the one that you got, and you had to prove to be an evil taking! Well, if you did not write off, of course. (I exaggerate, but almost always close to truth).
And then the child sees that you can not learn the entire table, but only half. If we already know the line of multiplication by 3, then we do not need to remember "eight to three", but just remember "three to eight". Already twice the work.
And besides, it is very important that your brain does not take dry information in the form of some incomprehensible columns of examples, and thinks and analyzes. Those. Train.
In addition to the commutativeness of multiplication, you can see, for example, another wonderful fact. If you poke into any number and rectangle from the start of the table before this number, the number of cells in the rectangle is your number.
And then multiplication is already getting a more depth meaning than just a shortened recording of several identical terms. It makes sense and for geometry - the area of the rectangle is equal to the product of its parties)
And you can not imagine how easy it is to share with such a table !!!
In short, if your child in the second grade, print it this, correct, multiplication table. Hang on the wall great so that he looked at her when she makes lessons or sits at the computer. Or what a fool suffers. And type and clarify it the little (or write on the cardboard). Let him take her to school with him, and it is just comfortable at hand holds. (It does not prevent such a table to highlight the squares diagonally to be better visible)
My children have - that's this. And it really helped them in the second grade and still very much helps in mathematics lessons.
Here, honestly, immediately the average score in mathematics will increase, and the child will stop nourishing that Mathematics stupid. And in addition, in the future, your child will also be easier. He will understand that it is necessary to move the brains, and not tool. And there is little that will understand, he will also learn how to do it.
And I repeat: there is nothing wrong with the columns in the examples. And the amount of information in them contains the same as in the "Table". But nothing good in such examples is also not. This is an informational trash, from which you still do not find an ambassador.
A source