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if using Mathematica to solve an algebraic problem is like copying
from someone else, then consider this article, which suggests that students (at MIT, at least) learn significantly less, in some sense by copying their homework. http://web.mit.edu/newsoffice/2010/homework-copying-0318.html Of course this would be similarly true for other computer systems. While the details of the experimental setup may not match, the results are startling.