To answer this, one must first ask - What is the difference between an area of knowledge and a way of knowing?
First off, an area of knowledge is the general subjects in which we classify information we take in everyday. There are six of these and they are Mathematics, Social or Human Science, Natural Science, History, Ethics, and Art.
A way of knowing is the method in which we are able to know and understand a piece of information. Also a way of knowing helps us classify our information into one of the 6 areas of knowledge. There are four ways of knowing and these are language, reason, perception, and emotion.
For example, we know that 1+1=2 because of reason, if we add one to one, we know by reason alone that we will get 2.