These poor people have it! This is one of the bubble I'm glad to run away. The dogs are stimulated by the opportunity to sleep. Mary and Joe to turn themselves targets dog goes to the catch state. The dog instinctive behavior is to run down prey, or to run off the intruders.
The dog may decide not to continue with you. But what you have done has helped his confidence, make him strong in his own mind, and encourages the dog's aggressive behavior. The next time you or someone else can actually bitten.
So here is the correct way to deal with such encounters, and why.
Again, the same situation - Mary and her young son, Joe, is out for a walk. A large, scary dog suddenly appears and starts to charge. Mary should put the safety of their children in tow, to show that he is responsible.
What does Mary do then? Straighten his shoulders and raising his head, as the body language, which extends into the power and control. Look at that dog - and not hatred, but to the authority. Click on the dog. Immediately, walk toward the dog's confident strides in looking at the animal. Say, "Hey, stop" - or "stay" or similar language, re-administration but not by shouting (as it exacerbates the problem). As you do so, spread your hands out towards her company "stop" gesture. (Not screaming and flailing your hands, please, or you will become more attractive!)
After the dog is moving toward the prestigious "stop" words and gesture, Hold Your Ground. Keep it if the dog is moving forward. Then you have to move on to maintain control of the situation.