We had a bedroom in our basement that was zoned separately in the slab, for the first year we just had sheet rock on the bedroom side to close off the space. About two months ago we sheet rocked and plastered the rest of the basement and for sound reasons we insulated the walls of the bedroom. I was really amazed how much warmer or cooler the bedroom is now and how much the room temp is based on the floor temp. It is also MUCH more quiet

insulating the walls is cheap and easy and make a big difference, unless you want the heat to migrate.