The bear is a large and rather ponderous beast, whose medieval reputation is mostly one of greediness. It appears in armory as early as 1280, in the canting arms (Latin ursus) of Urs [ANA2 56].
Bears may be drawn muzzled in mundane armory, even when not specifically blazoned so. Society armory also allows the “polar bear”, with a longer neck and wedge-shaped body; no difference is granted for this, and indeed, the distinction is frequently left unblazoned.
There doesn’t seem to be a default posture for bears; the illustration shows a bear sejant erect.
Morven of Carrick bears: Checky gules and Or, a bear statant erect sable.
Sigismund Greussen bears: Gules, a bear rampant ermine.
Hannah bat Aharon bears: Or, in pale three bears passant gules.
Alan Silverbear bears: Sable, in base a polar bear statant argent.