Over the past several days my nipples have been sore, and i've noticed little white dots on the tips of them. what could this mean?

Several causes: Nipples can become sore for several reasons. It could be due to the cycle of your period. Also make sure that you are not pregnant if that is a possibility. The white dots can just be from the ducts in your breasts or can be from some sort of infection. If they are itchy and have any rash then you may have a yeast infection. If this does not clear up soon see your doctor for an exam and testing.