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Задача: Let it be A(x, y) = K(x² + y²). Express A(r, φ).
Phisicist answer: A(r, φ) = Kr².
Mathematician answer: A(r, φ) = K(r² + φ²).

By the way, may be the problems described in the article Problem Solving and the Use of Math in Physics Courses are not the problems at all?


Very often complicated stuff come home to me in the three stages. The skill of using does not come simultaneously with the understanding of what the matter is.

Another issue is that for many University exams passing was enough to pass the first stage.