> If you're headed for abstract algebra, where intuition breaks down, this approach might be useful. I don’t even buy that. Instead of trying to take away the

> If you're headed for abstract algebra, where intuition breaks down, this approach might be useful. I don’t even buy that. Instead of trying to take away the examples and spatial content of a very concrete subject like basic linear algebra, much better would be to give people a lot of concrete (geometrical and otherwise) examples so that their algebra course is better grounded, before just dumping them into abstract definitions and expecting them to symbol-twiddle their way to solutions of unmotivated problems. For anyone wanting to learn about e.g. group theory, let me recommend Nathan Carter’s book Visual Group Theory http://web.bentley.edu/empl/c/ncarter/vgt/ http://web.bentley.edu/empl/c/ncarter/vgt/