Loop Quantum Gravity

I saw an article about this published in a REAL scientific source - Scientific American. Sure - it's not a peer-reviewed journal, but at least it's more credible than Wikipedia.

Anyway, I didn't get a chance to read the whole article - just a quick skim.

I already understand gravity... g = (G)(M1)(M2) / (R^2)
I have a basic understanding about quantum mechanics - that there is no "grey area" for states of atoms and particles, but they exist in discreet states.

So, does anyone have any info about Loop Quantum Gravity? I'd love to hear a general summary of what it is, but also some of the math behind it as well.

Thanks.