When I was ten, I was accelerating myself quite a bit in physics. There wasn't a physics camp at that time. So probably I also misunderstood quite some things but I also was ahead of most peers (I was ten). I think physics is even more approachable to children because they can play around physical things.

Well, it got me into some trouble. I basically destroyed my teacher's plan of early physics education. Basically, the teacher wanted to replay physics history a bit by explaining the early experiments and what people thought about them.

> How fast should you accelerate your kid in math?

My answer would still be: as fast as your kid wishes for but consider social implications with teachers and peers.

Sidenote: after this experience with the teacher, I somehow switched to computers. Exploring computers and learning to program wasn't a subject in school so this was free territory.