OK, feedback: I understand one benefit of "degenerating" your emitter is negative feedback, which improves circuit performance (linearity, freedom from variations due to beta, etc.).
I'm still trying to wrap my head around two things: one, how this works, and two, why it works. That second one is a deep subject that I'd rather leave for later.
So taking this circuit fragment:

Help me to understand how that resistor causes feedback. My understanding (and this is just me sitting here without looking up anything online or in a book, because I want to really grok this) is:
o As current through the transistor increases (or temperature increases?), more current flows through R
E, which in turn
o Causes a (higher? lower?) voltage drop across the resistor, which in turn
o Decreases? the current through the transistor, thus stabilizing operation.
Or something like that.
Please don't mock me or tell me to go read some book: I have some kind of mental block that makes it difficult for me to apprehend such dead-simple things. I'd like to be able to look at a circuit and intuitively understand these sorts of mechanisms.
So can someone please correct what I wrote above, and explain, in simple terms (please, no Ebers-Moll!) how exactly this works? This seems to me to be a quite important and fundamental concept to learn. I know how crucial a thing negative feedback is, so I'm trying to understand it more fully.