I have some kids like this too. I always give them more, but again, within reason. If it is snacktime, I do cut them off at a certain point because it is meant to be a snack to tide them over, not an entire meal...but even then, I do give them more than oe serving. As some others have said, I will say no to more bread or crackers etc, but not usually to more soup or more broccoli etc (most of my group love broccoli!). If I am serving a bread type item, I serve the other parts of the meal first and they earn their bread by eating the other parts (this even works well for my picky almost 4 year old), but I do have a problem with one of my little ones...he's 14 months and some days he doesn't even want to touch anything I serve and sits their crying like I am hurting him by not serving something more appetizing. He holds out and I end up giving him bread and milk because I don't want him to go to bed with an empty stomach...but then it is a vicious cycle...I'm not sure what to do with this one!