This is a tricky domain because, unlike simple arithmetic, to solve a calculus problem - and in particular to perform integration - you have to be smart about which integration technique should be used: integration by partial fractions, integration by parts, and so on.
Marvin MinskyEach part of the mind sees only a little of what happens in some others, and that little is swiftly refined, reformulated and "represented." We like to believe that these fragments have meanings in themselves - apart from the great webs of structure from which they emerge - and indeed this illusion is valuable to us qua thinkers - but not to us as psychologists - because it leads us to think that expressible knowledge is the first thing to study.
Marvin MinskySpeed is what distinguishes intelligence. No bird discovers how to fly: evolution used a trillion bird-years to 'discover' that โ where merely hundreds of person-years sufficed.
Marvin MinskyOur present culture may be largely shaped by this strange idea of isolating children's thought from adult thought. Perhaps the way our culture educates its children better explains why most of us come out as dumb as they do, than it explains how some of us come out as smart as they do.
Marvin Minsky