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Peripheral Awareness is a highly valuable athletic skill to have in your tool box. Being able to "see" what you are not directly looking at opens the door for incredible defensive and offensive potential in sports.
The best athletes have this kind of awareness. You can develop and enhance your ability in this arena with this simple exercise. Take your time and be patient. Gains will come over time, but they will come with consistent practice.
You may just find yourself making a play you can't believe you were able to make if you take the time to master this skill.