Why are the ojibwe named ojibwe?

In the past this tribe has been given various names: Ojibwa, Ojibway, Ojibwe, Chippewa, Chippeway. None of these is their real name (as is generally the case with native American tribal names) - they call themselves Anishinaabeg.

All the Ojibwe/Chippewa names are really versions of a single native Word, but there is some debate about which particular Word. It may be ojiibwabwe, meaning "puckered up" and referring to the way they make their moccasins - but there are other possibilities.