Challenging problems aren’t the ones that require a lot of labor. They are the ones that require thinking.
It is a huge mistake to focus on labor and think we’re doing such hard work. Maybe we’re actually being lazy by not coming up with a cleverer strategy for avoiding all that work.
We can use math as good metaphor to explain this idea. The brilliant Prealgebra book from The Art of Problem Solving teaches students to think algebraically — that is, strategically — about math, even no variables are present.
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