There appears to be no evidence that Ursa Major (larger bear) was so named before the 14th century. Much closer to its original meaning is the Germanic or Teutonic "Wagon," for the names of its stars suggest an enclosure of some type, which a wagon is and a bear certainly is not.
The stars in this constellation—which are many more than the seven we know as the Big Dipper—include Dubheh, El Acola, Benet Nash, Cab'd al Asad, Annaish, Merach, Megrez, Phacad, Mizar, Alioth, Talita, al Cor, El Kaphrah, Dubheh Lachar, Al Kaiad. These Arabic and Hebrew names all suggest an assembly of sheep and lambs that is set apart and protected. No bear there!
Who might this assembly of sheep represent? And who might be the shepherd? Are you among those protected ones, or have you strayed?
"The LORD is my Shepherd," Psalm 23:1
"We are his people and the sheep of his pasture," Psalm 100:3
"All we like sheep have gone astray," Isaiah 53:6
"My sheep hear my voice, and I know them, and they follow me; and I give eternal life to them, and they shall never perish; and no one shall snatch them out of my hand," John 10:27-28