Misplaced modifiers: what are they and how do you fix them?

Dear Editor-on-call,

I got this comment in a critique of mine and I have NO idea what it means. Could you shed some light? I feel so stupid, but I just don't get the terminology: "Misplaced modifiers. I’m seeing this phenomenon all the time with my clients! You do this just a little, but watch your antecedents."

Sincerely,
Mystified about Modifiers

~ ~ ~ ~ ~

Dear Mystified,

Your knuckle-rapping English teachers were trying to break you of this problem when they made you diagram sentences. You might...