[quote=Anonymous][quote=Anonymous]
The point is that if you are "interested in math", skipping learning high school math and rushing superficially through calculus is stupid. [/quote] According to you, getting a 5 in AP Calculus in 5th grade is rushing superficially through calculus and is ‘stupid’ because it doesn’t satisfy your desire to also see a high AMC score to give that kid your nod of approval. Luckily he doesn’t need it or cares about it. If you’ll look that kid up, he ended up graduating high school one year early as a valedictorian, was very involved in robotics competitions and software development and is now at Duke. That’s being successful by any objective measure.[/quote] No one said the kid wasn't successful. None of that has anything to do with going to college for a calculus class in 5th grade. That's success is a normal outcome for people taking calculus in 9th, 10th, or 11th. |
What are you trying to say here? That he wasted his potential because his accomplishments are underwhelming after taking calculus in 5th grade? Your metric for success is very narrow, and think that while he did great, it wasn’t Terence Tao level of greatness. Shrug, who cares. |
I know. Is this argument still going on after 5 days? Yeesh. Ignore the troll. |
[quote=Anonymous]
No one said the kid wasn't successful. None of that has anything to do with going to college for a calculus class in 5th grade. That's success is a normal outcome for people taking calculus in 9th, 10th, or 11th.[/quote] So? Maybe the kid just isn't into competitions. It sounds like the kid is very successful and wasn't hurt in any way by taking calculus early. I'm not sure what the problem is. Also, graduating a year early, being valedictorian, and being accepted (perhaps with a scholarship) to Duke isn't a "normal outcome" for any kid. |
It's possible the child is capable doing, say, the power rule, but might not be able to prove the quotient rule via the chain rule, product rule, and the derivative of 1/x (to be fair, most high school calculus students can't either). Note that a parent with typical calculus knowledge may not understand the pedagogical difference and thus believe their child is "doing calculus" (which they are, albeit in the shallowest sense).
Check out Epsilon camp, if you have the money (if you don't, they have financial aid available). It might be one of the few places in the country you could reliably find other kids like him at his age with whom he can play math and develop friendships. I would also strongly suggest you look at the books from The Art of Problem Solving. For example, here's the prealgebra text: https://artofproblemsolving.com/store/book/prealgebra. Note that they have a "do you need this" test available. If he can pass that test, start with their algebra text: https://artofproblemsolving.com/store/book/intro-algebra. If money is an issue, https://artofproblemsolving.com/alcumus (better than mathcounts trainer IMO) is free. |
Which curriculum? |
Same. No college wants unaccompanied 12 yr olds on campus taking classes. |
Varies, but mostly Khan Academy, the community college curriculum, and AOPS, roughly in that order. |