I see ingenuity in the creation of the technique, but if it was handed down over generations without the understanding of why it works, then that isn't a display of ingenuity. Contrast that to a typical student in who is given the same task of multiplying 7 x 34. They can get the same result and are also taught why multiplication works.
> I see ingenuity in the creation of the technique, but if it was handed down over generations without the understanding of why it works, then that isn't a display of ingenuity.
Sure. Me laying in bed listening to radio 4 is not ingenious, even though there's some ingenuity in creating radio (and the industrial infrastructure to get a radio to me).
Of course, no-one is yelling about ZOMG PC CONSPIRACY when I say how amazing it is that I can buy a radio for a few dollars.