I have a 3 year old and a 1, soon to be 2, year old and we have never had a problem. We heat almost exclusively with a woodburning stove. That being said, we do not let them play around it at all. This was sometimes hard to do in the summer months when they want to run around it, but you have to be firm. Knock on wood, but the only burn either of them has ever received was when my DD grabbed a baking sheet that I had just taken out of the oven. When dealing with things that may seriously injure your child, only you can decide what's best. I do know what has worked for us was a constant barrage(sp?) of "No!!!!!" whenever they started to get too close and a smack on the hand whenever they put them close to the stove has worked like a charm.