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[quote=Anonymous][quote=Anonymous]There are a LOT more kids taking AMC practice classes or participating in math contests than there are kids who are earning Honor Roll.  It's not simply training.  Like everything, excellence = training + talent.  Kids who have just the training end up with pretty underwhelming results.  [/quote]

I think you're confusing talent with motivation. Kids with training and motivation can go very far in mathematics, among other things. Also, like all skills, reaching the top of the pyramid is exponentially harder than reaching a lower level; it's all relative so what you're describing always occurs at some point; clearly more talent is also needed to reach the top (in fact every ingredient is needed, including lots of luck!)

I find it really disingenuous for many people in these threads to make the absolutely absurd claim that kids need talent when they are young and have not even had a chance to try something. Kids are not missing talent, they are mostly missing training and motivation. In the former it's because they don't have access or money to get quality training, and/or may not even be aware it exists, and in the latter, because they are not interested either due to overparenting pressure, or they have motivation for other interests they want to spend their time.[/quote]

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