You're holding the knitting wrong is all. The needle tips should be toward you, not away from you. So flip it inside out and have your tips and working yarn close to you. Imagine a cup of water and you take a drink from the edge closest to you. This picture should give you an idea http://www.knitpicks.com/content/wp-.../circular4.jpg
Even though it's on circulars, it's the same for dpns.