Hi Carol,
The problem with trying to ignore other dogs' behavior is that you sometimes have to actually pay attention to what they are doing for you and your dogs' safety. Some dogs are just barky and growly, others will charge to attack. Meeting up with loose dogs can be very unpredictable, despite the different "body language" tells :(
I don't think that there is any firm and fast rule on how to deal with this type of situation. It just "depends." Each time is new, if you're dealing with different dogs.
Some dogs decide to make a stand and let you walk out of their "spot." Others might see you as retreating and therefore should be hastened on your way by nipping or biting. If you stand quietly, they can also see it as a challenge. :rolleyes: Meanwhile your own dogs' behavior can be helping or hindering the situation.
Your one dog that decided to be just as assertive could have actually provoked the dogs into reacting more agressively. 2 on 1 is no fun to cope with (It's happened to me). Walking away, as I said, can also provoke a dog into chasing.
I try to first see to my dogs to have them be calm (sitting next to me). Or with Samma, one time, it was easier for her to sit in-between my feet, since the dog was trying to grab her, but not me.
Then I try to deal with the strange dogs and figure how out-of-control they are. Some will approach my dogs, but not me. I can usually "swoosh" them away by just standing my ground. I try not to ever let them get behind me. I've had several that decided leaping against my back would be "fun".
I usually pray that their owners will show up quickly if they are more agressive than this :( I just stay calm, not move, and someone has always showed up out-of-breath and very apologetic :rolleyes:
hope this helps a bit. Good luck,
toodles