the voyage of the dawn trader

"The Dawn Treader"

As I mentioned in a post before, I am going on a trip to Oxford to study C.S. Lewis: Communicating Faith through Myth and there’s an online course that goes with it. Today the professor posted the first questions for discussion and the last question was “What do you think is the meaning of the name The Dawn Treader?” and in my mind I reacted just like Lucy when Mr. Tumnus asked why she shakes hands: “I… I don’t know." 

So I finished my homework and posted it, but I’m curious as to why you think Lewis decided to name the ship the Dawn Treader. I believe that since the sun rises in the east and Aslan’s Country is east, it illustrates the fact that even though Caspian originally decided to set sail to find the seven lords, the main purpose of the voyage was to travel to Aslan’ Country. It shows that even when they looked for the lords, there was still the longing for Aslan which could be argued as the higher priority than finding the seven lords. Thoughts?

[…] Lucy thanked her stars that she had worked hard at her swimming last summer term. It is true that she would have got on much better if she had used a slower stroke, and also that the water felt a great deal colder than it had looked while it was only a picture. Still, she kept her head and kicked her shoes off, as everyone ought to do who falls into deep water in their clothes. She even kept her mouth shut and her eyes open. They were still quite near the ship; she saw its green side towering high above them, and people looking at her from the deck. […]

[The Chronicles of Narnia: The Voyage of the Dawn Trader - C. S. Lewis]