Final answer:
The question pertains to the line of Greek philosophy teachers Socrates, Plato, and Aristotle. These philosophers formed an important intellectual lineage and played a crucial role in the development of Western philosophy. Additionally, the Sophists were important itinerant teacher-philosophers in ancient Greece.
Step-by-step explanation:
The notable group of Greek philosophy teachers that the question refers to is the trio comprising Socrates, Plato, and Aristotle. These three philosophers represent a significant intellectual lineage in Greek history. Socrates is known for his method of teaching through dialogue and questioning, Plato for establishing the Academy and authoring dialogues featuring Socrates, and Aristotle for founding the Lyceum and being a tutor to Alexander the Great. This tradition of Greek philosophy significantly influenced the direction of Western philosophical thought.
Additionally, other teaching figures in Greek philosophical history include the Sophists, who were itinerant teachers providing instruction on rhetoric and arguing all sides of an issue with skill. They were influential in shaping the Greek education system and civic life, particularly in Athens, the hub of democratic ideas and practices in ancient Greece.
It's important to note that there were other movements and schools of thought during this era as well, such as the Presocratics, Epicureans, and the followers of Pythagoras, who contributed to the rich tapestry of ancient Greek philosophy and its development.