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Well, I'm afraid that despite your best intention you shortchanged them. Hopefully they'll make up for it.

^^^^^^^^^^^^^^^^

I can see that you are very dedicated to your educational philosophy. In a free market system of education you will be free to join with other parents and form a school that adheres to your worldview.

I would object to the imposition of either your or my philosophy on other families by government police force.

Graduates of a major university, with B.S. degrees in mathematics is not, in my opinion being short changed. The older of the two at 20 had a masters in mathematics. And the oldest is excelling in his fields of interest.

As far as is known to me [I could not track them all, but heard about several], the graduates of the class I was observing could now be found as full professors at major universities around Europe, and a couple are in the United States, teaching in Ivy League. This is the level their education was aiming at. These visualization exercises and other more or less neat tricks were not wasted, after all.