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[quote=Anonymous][quote=Anonymous]I am not sure what CTY did years ago in 3 weeks!
But  it is impossible meaningfully learn whole Geometry over the summer.
I got my HS education outside of US. I had Geometry in school for years and  advance geometry in college too. I do not understand how it is even possible to learn all Geometry in one year.
One of my children is doing it now. It is totally ridiculous. With the speed they cover material nothing is left in the brain two weeks from now.  I can recall most theorem 30 years later... My MAGNET child does not  recall almost anything one year later. I guess assumption is that nobody needs Geometry.
So we will get engineers, and architects who  will just rely on computer software for calculations...

Mathematician.[/quote]

CTY poster here:  You are correct. I don't know of anyone who thinks it's possible to learn all geometry in one year - or even tries. I don't think that the CTY course that I took gave me more than a basic understanding of geometry, however I think it was definitely better than the 9th grade class that I would have taken at my regular school.  The CTY course was 8 hours a day of working through proofs with the longest getting to be about 35 steps or so.  When I took the final exam for the regular school class which was required to allow me to place out of taking it the longest proof on there was 8 steps.

I'm a hardware engineer working on ASIC verification and so far I've never needed geometry in my career.  For that matter, I've had no need for vector calculus, differential equations, linear algebra or most of the other mathematics courses that I've taken over the years.  On a basic level my job is just manipulation of binary numbers :)  For the most part I'm not relying on computer software for calculations, just paper and pencil or a scientific calculator.  Numbers are fun, math can be fun, but I'm having a hard time thinking of people who need to have a strong understanding of geometry unless they're actually designing and building things, e.g. architects, civil engineers or mechanical engineers.

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