The peeling skin is burned skin that is sloughing off, because it was greatly damaged, and has become dead tissue. Your skin is constantly shedding dead tissue, but usually, you don't notice this (unless you skin is very dry), because it comes off in such small pieces. Most definitely moisturize; the burned area of your skin is highly susceptible to drying out, because that top layer of your skin that helps with moisture control has been badly damaged. After a few days when the burn isn't quite so fresh, try gently exfoliating the burned area. You don't even have to be very thorough the first time around; your goal is simply to assist with your body's process of getting rid of all of that dead skin. Don't go in with the intent of scraping it all off once and for all. Go in several stages over a few days and let your body take care of the rest. However, the more you moisturize, the less peeling skin you will generally notice. This being because that burned area is so prone to drying out, that if left non-moisturized, some lesser damaged skin will become so dry, that it too will join in with sloughing off when it might not otherwise. I think that should help you. Alright? Peace, person!