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

Thanks for sharing the background. "On his own" is very impressive. More impressive to me than his AMC score. My 6th grader just finished Algebra A online course well (i.e., blue bars every week), but I had to prod her to "read the book". That is a huge difference.[/quote]

You realize that's basically practice.  Doing math problems outside the classroom. [/quote]

DP.  Then it's more about love of math than it is anything else.  It would be nearly impossible to get a kid to self study the entire AoPS Algebra and Counting&Probability books in 6th grade, and then get high level results on math competitions if the kid wasn't passionate about math.  The kids forced into math by their parents tend to do well on early math competitions, but they're not going to keep up with the  kids who love math and are eager to soak up any new concepts.

My own kid has made both the Honor and Achievement rolls the last two years for AMC 8.  He also spends tons of time on Alcumus and the AoPS forums doing math problems.  Over this winter break, he's mocked an old AMC 10 test almost every single day, because he really wants to qualify for AIME or at least make AMC 10 Honor roll this year.  Yes, he has technically practiced much more math than most other kids.  Nothing is preventing those kids from practicing the math, also, as Alcumus and old AMC tests are available for free online.  The big difference is that my kid is more motivated and more passionate about math than the kids who aren't practicing.

For what it's worth, I think very few kids would be capable of independently learning AoPS level math classes, and obviously not all kids have the same natural math aptitude.  AMC 8 is an oddball contest in that kids who are bright, but not outrageously so, can still earn awards by practicing a lot of math.  AMC 10 and beyond, simply practicing a lot won't cut it, and the kid needs both the practice and very high levels of math aptitude.  [/quote]

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