To dream that you are walking or moving backward, signifies that what you are doing may be counter-productive. What you are seeking in life appears to be moving away from you. Thus you may be feeling a sense of failure or believe that you are unable to achieve your goals and aspirations. On the other hand, moving backward in your dream may symbolize that you should back off or retreat in a situation you may be facing in your waking life.
Something that is backward or opposite of what you would expect can mean that something seems amiss, or not quite right about the situation represented in the dream. For example, having your shirt on backwards could mean that you don't feel quite right in some situation in your life, or that something feels a bit off within yourself or your experience. Something being backward can also mean that it represents something that you tend to get confused, such as the names of two people you've just met.