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This is already a similar concept - https://en.wikipedia.org/wiki/Higher-order_thinking https://en.wikipedia.org/wiki/Higher-order_thinking I would be quite h
by ausd123 8y ago
This is already a similar concept -
https://en.wikipedia.org/wiki/Higher-order_thinking https://en.wikipedia.org/wiki/Higher-order_thinking
I would be quite happy to see these kinds of concepts rolled into one.
Looking back, most times I heard "higher order thinking" at school, I feel like they meant "thinking at a higher level of abstraction" (as I would describe it now).
You could make an argument that the kind of "nth derivative thinking" identified here is similar though.
- FakeComments 8y agoAs an interesting aside, the n-th partial derivatives form an n-cube: For m variables, there are m first orders, m^2 second orders, etc. and most proofs about, eg convexity, amount to a proof over that shape. The reason that n-th order reasoning about an m-dimensional problem is difficult is that it requires reasoning using m^n objects. If you figure we can remember about ten things intuitively, that’s just enough for three dimensions and two derivatives — enough to do motion analysis. But it’s leagues away from being able to do the second order of a ten-dimensional problem intuitively.