Big Bad ы

[oikade.livejournal.com]

Has anyone got any tips for helping a native English speaker pronounce "ы"?

I'm nearly ready to give up, but the Love says no, it cannot 'just be your accent' - you must pronounce it properly.

I'm finding it to be a very difficult sound. :( In fact, since I can't pronounce the letter - I've taken to refering to it as "the fucker" - just so Dima knows which one I'm talking about. :)

Edit: Thank-you for all the tips and suggestions!