A couple points from my experience: - Kids absolutely do brain around for fun. It’s one of the main things they do. - Terence Tao is by far the most extreme e

A couple points from my experience: - Kids absolutely do brain around for fun. It’s one of the main things they do. - Terence Tao is by far the most extreme example of studying advanced math as a child. A kid can work through higher concepts without being Tao. Obviously if a parent is pressuring a child, or seeking specific outcomes like grades or graduating early that is a different story.