What are the best practices for a low deck built half on a concrete slab?
I thought this would be a fun thing to do (and perhaps set a precedent on diy.stackexchange.com)- post a picture with the results of my question.

Thanks to the tips here on this question, as well as another I asked, I have completed my deck project.  I ended up with what was described above- a ground-level deck, mostly on the slab.  I took Shirlock's advice, and went with an 8" deck block at the two corners not on the slab.  I compacted the earth a bit with a hand compactor.  Since the deck is not attached to the house, if there is some heave, it wont do any damage, and I can always dig some concrete holes under those two corners next spring if it turns out I need them.  So, without further adieu, the finished deck (yes I realize we have some funky siding..  spring 2011 project ;) ):