An important way to get one’s children involved in helping train the family dog is through tricks.
The goals in training are to teach the dog to pay attention, do as you say and stay on task. While basic obedience lessons have those goals as primary objectives, it is often hard to get children to be interested in and consistent with the training techniques.
They may have more fun teaching the dog trick behavior – sometimes starting with simple ones – “shake”, “sit pretty”, etc. When the dog is engaged in these tricks, the dog is meeting the training goals as well — to pay attention, do as the child says and stay on task. The stronger approach, of course, is a combination of regular obedience training and trick class.