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[quote=Anonymous]OP asked about kids that are "advanced." There's a difference between advanced and gifted but I think the child who could add 3 digit numbers quickly in his/her head without being taught shows aptitude.

My sister was like this. She could instinctively regroup in her head at age 4 without anyone teaching her anything and she did college level math as a freshman in high school, did well at some national math competition, easily got an 800 SAT, and went to Yale. I wouldn't call her gifted in math, though. She was never going to be a math major and has friends who are now math professors and they think on a different plane from her. She's good enough at math to know this but not good enough to keep up with how they think.

[quote=Anonymous][quote=Anonymous]Which would show gifted at math:

Child who know multiplication facts?

Child who could add 3 digit numbers quickly in his head?

[/quote]

Neither of these.  Both are indicators of strong memory, not math aptitude.[/quote][/quote]

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