I'm not sure if bear fat can be rendered the same way as venison tallow, but I just boil the chunks of fat, and scraps, in a big kettle , refrigerate until the grease solidifies on top of the water, and then skim it off. I then gently heat the tallow until the execs water evaporates. After chilling in the refrigerator you wind up with a nice solid cake of snow white tallow.
Hungry Horse