This reminds me of http://www.math.rutgers.edu/~zeilberg/Opinion71.html, where a number of prominent mathematicians and computer scientists are traced to an Israeli mathematical magazine for young people. These are certainly not kids who had no calculation skills. They wrestled with difficult problems and developed great problem-solving skills that have served them in their careers.

Incidentally, Zeilberger is definitely an advocate of more computer use in math, but not in the same way. See almost any of his Opinions: http://www.math.rutgers.edu/~zeilberg/OPINIONS.html