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Timeline for Most harmful heuristic?

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Dec 17, 2014 at 15:52 comment added Hagen von Eitzen Picking a basis in a vector space is the root of much evil
Apr 25, 2014 at 15:36 comment added finitud This. Matrices in high school were one of the things that pushed me towards going for Physics instead of Math in college. Only when I had my linear algebra course did I get what matrices were about.
Apr 17, 2013 at 20:13 comment added Rami Luisto I didn't come across matrices until university, but I wholeheartedly agree that linear algebra should not begin with matrices and their operations. I didn't get a proper view of linear algebra (especially the determinant, which was basically taught by giving the definition and making the students calculate the determinant of a general four-by-four matrix by hand) until I read Sheldon Axler's "linear algebra done right". There the pedagogical idea was to begin with linear mappings and noting as a side note how they can be presented with these funny squares of numbers etc...
Apr 25, 2010 at 15:43 comment added Harry Gindi By the time I got to linear algebra last year, I had already totally forgotten how to multiply matrices. Luckily, for proofs, the definition of matrix multiplication is a better way to prove something than drawing out (with ...'s) a big nxn matrix.
Oct 25, 2009 at 16:47 comment added DoubleJay I had no idea why matrices would exist until beginning the linear algebra class I'm currently in. They seemed perverse and non-sensical. They really don't belong in high school math, frankly. I didn't even remember how to multiply them until I refreshed myself recently.
Oct 24, 2009 at 21:11 comment added Qiaochu Yuan Agreed. It's really hard to internalize what all those intermediate steps in a row reduction actually mean.
Oct 24, 2009 at 20:59 history answered Jason Dyer CC BY-SA 2.5