1.2 Plain Reason of Mathematics Education
Let us take up the political point of viewing the education. Politically, a certain number of mathematical talents are needed in the society. And as for the members of the society, a certain level of intelligence which "General Discipline" brings up is needed.
Nobody determines her/his way of life before s/he lives her/his life. The readiness for the comming life is what results from the history of her/his learning. Therefore, a period of the "learning without purpose" is indispensable.
The function of mathematics is clear. That is, mathematics is a tool for production. And in order that one becomes able to use mathematics on a full scale as a tool for production, the experience of "learning mathematics without purpose" is required as a readiness.
Thus, the problem of mathematics education that ranks first for me is:
<< How can "learning mathematics without purpose" be accepted by children ? >>
And the answer is no other than the following, however impossible its content may be.
<< Making the "learning mathematics without purpose" be interesting in itself. >>
This is a "trick". But it is not what brings victims. In "learning mathematics without purpose", the learners experience "General Discipline" and grow up. This is beneficial for the learners. Conversely, if they are not "tricked", they might choose "leaving mathematics" and become disadvantage in the future.
In short, I am considering to do the following also in the mathematics education.
<< Letting children to eat not-good-taste but nutritious food by using tricks. >>