Trained VS taught ?

To me this thread turned to a really interesting subject. I see two trains of thought. The trainers who think all dog actions mean the same and the teachers who allow their dogs to think. I think Toedtoes hit the reason for the bared teeth. I was standing beside(over) her. No growl with the teeth. No, she's not a smiler. Paws4me kind of summarized the whole idea of freedom of thought for dogs.. At play time she will flop over on her back for a belly rub but during the attention she will constantly growl. I figure it something as a cat purr but to some it's still a growl. "Growls are bad?" When we first brought her home, she growled at our resident Pit and he growled back. Confrontation solved. He's the dominant one. Wouldn't it be great if humans were that smart? She will steal the other dog's food but not his. When I was about 12 y.o. I went to a friends house, they weren't home so I went to the back yard to pet their two shepherds who knew me. I was too dumb to think about them not looking directly at me but out of the corner of their eye. I almost lost a thumb so now I make sure the eyes are focused. From my take of this subject there are still trainers and teachers but the bottom line is the individual dog. They are each different as individual humans. They all have a way to express themselves, if given the opportunity. I've never known a dog to show affection as this 110# teddy bear does and if she shows her teeth or growls I'll chalk it up to her intelligence to communicate. Mental communication is a whole 'nother subject.. Thanks for all your input. You've sent some interesting posts.. :)