Deeper Teaching/Preaching?

OK — returning to the world of blogging after an insanely crazy end of the semester. Be forewarned.

I read a good blog post from Pete Wilson where he was asking people what they mean when they say/hear “I want deeper teaching/preaching.”

I’m curious myself what people mean by that.

What to you constitutes “deeper teaching”?
What causes you to feel that you need to say, “I want something deeper?”

I’m really interested in this, so lay it on me in the comments box.