In a lucid dream the other night, I decided to count the powers of 2. Normally while awake I can count it straight up to 4096 before running into trouble. However in the dream I couldn’t seem to get past 128.
It occurred to me that this could be used as a measurement of awareness. My dream self realized that I wasn’t in the same state of mind as my waking self, and tried to compensate. The result was a longer lucid dream than I was used to and a bit more progress on some of the dream powers I was trying to learn.