Final answer:
The method that separates modern historians from ancient Greek historians is the approach towards historical events and phenomena.
Step-by-step explanation:
The method that separates modern historians from ancient Greek historians is the approach towards historical events and phenomena. Ancient Greek historians like Herodotus and Thucydides focused on explaining the human motivations at work in historical events and used primary sources written or experienced at the time as the basis of their research. Modern historians, on the other hand, employ a more objective approach and use a wider range of sources, including archaeological evidence, to understand historical events.