Every animal teaches. Wolves teach there puppys how to stalk, how to hunt, and how to kill. Bears teach there cubs much the same, deer do much the same, and so on. The only differnce is that we teach more info, that is arguably less useful.
True, all animals teach, primarily by mimicry. It isn't the fact that they teach that sets us apart, it is the complexity and the ability to retain and pass along that knowledge.
Each generation of lower animals must relearn all behaviors, whereas each generation of humans must learn basic behaviors, but then builds on the more complex things that humans in the past learned, recorded, and passed down.