I have thought of myself as somewhat mathic. I'm certainly no mathematician, but I did it well back when raptors roamed the earth. When I did another grad degree in the 90s I enjoyed my grad stats.
I've changed my mind though, now that I'm reading math blogs like Gödel’s Lost Letter and P=NP, and now that I'm seeing the 13yo cover math topics years ahead of when I did them (MN public school). I was mathic in my day, but the curve is wider now.
Math education has changed, perhaps more than most of us realize. It's likely to change a lot more. Math classes still require medieval calculators, and math exams often mandate particularly primitive calculators. Meanwhile the cost of a used iPod Touch is falling to $120, and Wolfram Algebra Course assistant sells for $1.99.
Sometime in the next few years, despite the drag of obsolete standardized testing , math classes will switch from primitive calculators to symbolic math software.
Times are changing.
 Old-fart anecdote. I grew up with Quebec provincial standardized exams. I don't know when they started, as a teen they seemed eternal. In the 1970s they still included exercises that involved logarithm table lookups. Paper logarithm tables -- what people used before slide rules. So we learned how to use paper logarithm tables (not hard) at the expense of slide rules (that was dumb). This didn't turn into much of a handicap because calculators came along, so the exams just dropped the log tables and never had to address slide rules. So these transitions are not without precedent.