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A key differentiator (no pun intended) with high LOG kids is their rate of learning. It isn't that they are just ahead, i.e, exposed to concepts earlier via a high SES home environment as much as the fact that they can absorb, learn and synthesize at a much faster pace at a much deeper and broader level too.
My DD started the 4th grade a year behind (zero experience) in Spanish and now she is at the top of that class, for instance...
One day my older son and younger son were sitting on the couch talking about square roots, exponents, and various other math topics (younger son in 4th grade) as any good geeky siblings do. And with a few well thought out questions from the younger and the back and forth discussion I went in and broke it up because it was apparent that if they continued they would just about cover all of 6th grade math and he had just skipped 3rd grade...had to put a stop to math conversations. My younger son just learned way too fast from casual conversations.
