Many people blame Bourbaki for the horrendous "new math" which infected mathematics teaching in the 1960's. And there is some validity to that accusation. A scathing indictment of Bourbaki was given by the renowned mathematician V.I. Arnold, author of famous books on classical mechanics and differential equations. Arnold tears apart the dry, lifeless and phony "rigor" and "purity" of Bourbaki and others who divorce mathematics from reality, which he describes as "sectarianism and isolationism which destroy the image of mathematics as a useful human activity in the eyes of all sensible people." Here's a link to his full comments:
http://pauli.uni-muenster.de/~munsteg/arnold.html
As a mathematician, I have to agree with the critics of Bourbaki. It put mathematics on the wrong path, in my opinion, and much of that influence continues on today. Mathematicians would do well to heed Arnold's advice on the direction mathematics needs to take. "Pure mathematicians" and other people who still think that Bourbaki was "doing mathematics the right way" are simply misguided.