The bear, especially polar one shows that you feel afraid or even scared about some matter in your waking life. Some things seems that are very far away from you and sounds scary.
Dream dictionary: Polar Bear dream meanings
…Polar bears in dreams, are prognostic of deceit, as misfortune will approach you in a seeming fair aspect. Your bitterest enemies will wear the garb of friendship. Rivals will try to supersede you. To see the skin of one, denotes that you will successfully overcome any opposition. See Bear….
…If you dreaming that you are attacked or assaulted by a bear it signifies rampancy, shattering barriers and competition. There is a possibility that you will feel distracted and might not know which direction you should go. The bears could also represent endless round between life and death. Do not worry, as nothing bad is going to happen, only you might feel one of the following characteristics: dead, alive or reborn-ed. The dream could also represent the research you are doing with your inner-self. Consider that the dream could also represent your soul and unexpressed or hidden thoughts. The dream wants you to open up and let it all away. If you dream of a polar bear it symbolizes the revival. Perhaps you will start to see things completely different way, everything will appear in different colors. These changes might affect not only your thinking, but the actions as…