Both are correct
Yes, both are indeed correct; however, they do not mean the same thing. Perhaps I can explain it in a way you can understand.
"A false sense of importance" means that one incorrectly feels that one is important. In such case the problem is in oneself.
"A sense of false importance" means that one feels that one is incorrectly important (or at least one is incorrectly thought to be important). In such case one is not at fault.
the latter is the more common phrase amongst English speakers
Only amongst those who are so badly educated that they do not know how the placement of an adjective can completely change the meaning of a phrase.
the obnoxious English teachers that harry this forum, and their diminutive allies
Mods: is there a reason that this flaming has been allowed to remain? If you would like us to flame, I could probably contribute something about Polack layabouts who need to get a job, and perhaps their Ukrainian grandmothers. But I'd much prefer that we were not allowed to flame.
even if he has called me a liar, whereas I heve never called him names
I didn't just call you a liar: I pointed out the specific lie you told and am happy to point out others. You have never called me names? Really?
he seems to be a lonely, and thus a bitter person.
Oh, you seem to have been caught lying again.
lovelybride, you shouldn't have wasted your time, you must know your English is excellent..;)
You got that half right: she should certainly not have wasted her time criticising somebody who freely gives their time to help others learn English, or does she also give free lessons?
I would rather work with a non native speaker any day.
I always preferred to work with the better teacher, but that's just me apparently.