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[quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous]

I also don't think there are any truly naturally brilliant in math kids who haven't been identified and aren't already competing in high level contests.  Kids who are that far ahead in math and that brilliant are certainly taking AMCs before and during middle school.  Many of them are also posting on AoPS, doing Alcumus problems, and generally teaching themselves math.  [/quote]

I could not disagree more with the above. You’ve only got kids with means and loads of tutoring competing in the high level contests in middle school. These are kids who have been either lucky enough to be in a school that recognizes and supports raw math talent, or, and more likely to be the case, these are the kids who have parents pushing them ahead in math and are aware of these math comps.

Also, the kids who had to over prepare to do well in math counts and AMC 8 and 10 are not the ones doing the best on later competitions where you can see true math talent.  [/quote]

I think we're defining "naturally brilliant" differently.  Just like there are kids speaking in full, coherent paragraphs at 15 months and reading by 2-3 years, there are kids who intuitively grasp and can handle multi-digit multiplication, division with remainders, fractions (including all operations), and can solve quite a lot of word problems before starting K.  There is a threshold of giftedness where you, the kid's teachers, and even random strangers are just going to notice.[/quote]
But who is exposing these bright youngsters to math problems at young ages? Many bright underprivileged kids aren’t even exposed to math before K, and even if the parents notice a their child has a gift, no one cares.[/quote]

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