In a nutshell ... Alan Dawson's approach to Syncopation is about the same as what I have laid out in my article entitled
Expanding Stick Control.
Alan would take the rhythms from the Syncopation book and apply the around the drumkit. Each limb takes it's turn playing the rhythm(s) while the other limbs are playing a groove or ostinato.
If you read my article, you can take the same exact approach with the Syncopation book.
If possible, take some lessons with a teacher that uses/understands these methods. If you can't find an instructor, you can contact me about video correspondence lessons.