Describe to me in the highest detail you can without looking it up how natural selection and thus evolution works.
Because you can't explain evolution just by explaining natural selection, there are other things apart from natural selection. 'Thus' suggests that by describing natural selection you would be describing evolution.

But that's really just semantics, as long as you know that there are other mechanisms then it's really not worth talking about.

I'd like to know why you think people have a warped view of natural selection though. What kind of things have people said to you? Most people who I've heard from understand it pretty well.