Just some thoughts...
In our postmodern world, most people have lost touch with truth. Any study of knowledge should begin by studying the nature of truth. The fact that all truth is absolute is shocking to a relativistic world.
As to "types" of knowledge, I would include:
1. Truth, an understanding of the nature of truth:
a. truth corresponds to reality (the Correspondence view of truth)
b. truth complies with the law of bivalence
c. truth complies with the law of non-contradiction
d. truth is absolute
2. Logic/Deductions: Something must be true or must be false based on sound logical deduction.
3. Logic/Inductions/Empirical Data/Scientific Method: Something has a probability of being true based on sound logical induction. Only perfect inductions are 100%.
4. Experience, first hand knowledge: Something is known because it has been personally experienced.
5. Observation, first hand knowledge: Something is known because it has been personally observed.
6. History: Something is known to be true because of historical record.
7. Revelation: Knowledge that is revealed by a higher authority.
8. Faith: Something is known, or trusted to be true, because of one's belief in the source or standard.
JW