One of the things you can do is to take your doberman to a school and wait until the kids are on the playground or school lets out. Your doberman is NOT close to the children but he is close enough to see and hear them. They run, they scream, they do the kid stuff. Your job is to have him stay calmly no matter what is going on. So, you give the sit stay command and you guys watch getting closer as he is ready. You can heel by the fence where kids are playing and do the same in a park. If it was my dog and he ever lunged at kid he would be corrected period. I don't care what the reason is. I did make it a point to take my dog around kids, do the school thing and go on hikes where I knew there would be lots of people and kids. We did halloween carnivals and other outdoor things since Eli was young. I did not let kids grab him but I did practice sits and let kids pet him when he sat. I took him to petsmart most weekends and worked on his obedience and stays while people (kids included) touched him. I have a grandson and Eli has knocked him over, *cough* a lot. I worked on training and the leave it. When Eli was younger he just wasn't careful around my grandson at all. He adored him but wasn't gentle and would get too excited so I kept him on leash when Riley visited until he was more in control of himself.
That worked for us but took 2 yrs before I trusted Eli completely. If Eli would have lunged at Riley I would have corrected hard tho.