I don't think you can make such a strong, categorical statement. It's wholly dependent on the student's environment and largely, if they are mentored. Let me sh

I don't think you can make such a strong, categorical statement. It's wholly dependent on the student's environment and largely, if they are mentored. Let me share with you a story of one of my good friends. He started school a year ahead by being skipping Kindergarten. He progressively began testing out of math courses, and eventually took BC Calculus when he was in 9th grade. He then decided to skip tenth grade, but since he was already so far ahead in math, he really just had to test out of three courses -- English, Chemistry, and World History. He ended up graduating valedictorian, and he finished his undergrad in two years. He's now completing his masters in physics at Cambridge. He will likely do his Phd there as well. Interestingly, he couldn't speak as a young child. But his father was able to teach him math, which he soaked up like a sponge. Most notably, his father instilled in him the importance of what my friend calls "the grind." He was taught that he couldn't be truly successful in mathematics unless he practiced hard, and this discipline has served him well to this day.