The ever-increasing ability of computers to outperform humans in intelligence tests (math, chess, game-shows, etc.), has led to attempts to define what it means to be "incapable of thinking", often despite technically superiority: uncreative, soulless, predictable, rule follower, lack common sense.
Due to a shared presumption of the superiority of human intellect (and perhaps a fear/hatred of robotscomputers taking ourhuman jobs), it is acomputer related terminology has strong pejorative to compare somebodyconnotations when applied to a computer (even an intelligent one)humans. Calling someone robotic implies they are blindly following a set of processes and rules rather than thinking for themselves.
I learned to solve differential equations by hand, that is the way it is done since ever. Calculator-based methods offer simplifications: the are, though, turning our children into mindless number-crunchers.