I place room temp tap water into my pot, place my grains in a grain bag, put the pot on med. heat (gas stove), I poke a metal skewer thru the bag JUST below the knot on my grain bag, then place the pointed end of the skewer over the rim and under a handle of the brew pot, bring my water up to 150*-160* and lower my flame a little to maintain the temp for the 30-45 min. steep. Once in a while I'll "tea bag" the grain bag during the steep and in the end I place the grain bag in my strainer over the pot and sparge the bag with a pot of water from my coffee maker (about 170*), SLOWLY trickling the water over the entire surface of the bag and let drain while increasing my flame to hi to start getting the water up to boil. Also the loop in the end of the skewer holds my floating thermometer perfectly on the vertical right next to the grain bag!
So yes, maintain the steeping temp! You can just put the grain bag in the pot and let it sit on the bottom of the pot if you occasionally stir and move the bag around so as not to sit directly over the heat for long periods of time.
Hope this helps!