But how can we learn to realize?

It is a strange situation: In the schools we find excellent pupils (mainly girls), getting older and leaving school, becoming housewives, ordinary workers and clerks. At the same time scientists, businessmen, chiefs, the experts of a high level (etc.) had rather modest marks at school.

What is the reason?

Are they incorrectly taught? (And who are the teachers?)

Are the results of teaching evaluated incorrectly?

And maybe, we don't exactly understand - what we teach and why we are teaching these things?

Maybe, the reason is that the excellent pupils store the information and the rules well, and pupils with only the middling marks (they make prolonged, colossal work) study to understand, to realize the studied subject?

It is possible to learn to store the information and rules fast. Difficult, but it is possible to learn to apply the learnt rules. But how can we learn to realize, to understand?

Is Mathematics an Enemy of Science?

Recently crisis in fundamental physics becomes more and more noticeable. The sizes and cost of the equipment grow, but we can not see the peculiar progress. The quantum mechanics try to explain the experiment after it and attain it bad (for example, High-temperature superconductivity). Technological processes in the industries remain only empirical in many respects.

What is the reason?

Is too little funds apportioned for (fundamental) science?

Are "old men" hindering to creativity of youth?

And maybe, the reason is that as the scientists were trained, they were so deeply sunk into the abstract World of mathematics that they stopped perceiving the Real World. Then, after a long time in the World of mathematical abstractions, they stopped UNDERSTANDING the Real World!