This does not mean he should be bothersome and enter into an area where he is not welcome or needed. It does mean, however, that he should be ready to help if he is asked to help. Consequently, the more problems that one can find solutions to the more available he will be when his help is needed or asked. God will always provide the opportunity in His own time for a prepared man. Teach the child initiative.
Initiative is simply the doing of something without being told.
If there is a job to be done, the child does it. Initiative teaches one to do this. Whenever possible give the child a choice between two or three courses of action. You cannot do them all, but you must do one. Let the child choose.