My comments pertain to the story as a whole.
I am not particularly crazy about young Estel (or, for that matter, young Legolas) stories, but I found this one to be both charming and thought provoking. Although it started out as a story about Estel the reluctant student (of history, of mathematics, of anything academic), it really is a story about Estel the novice Ranger, and his first "experience" in survival (and warfare) in the Wild (and the lessons learned therein).
It was very canonical and in character for Estel the young boy to get this first training from his foster brother. (Who else but the family of Elrond to train him, and who better than an older brother who he must have hero-worshiped?) What made the story special was not that the training was yet another thing on Elrond's checklist, but was something that Estel (effectively) demanded for himself. I rather liked the idea that even Elrond could make mistakes (in judging Estel's maturity, and the course that his studies should take).
Another bit that I liked was Elrohir's quandry in trying to justify the necessity of the academic studies to Estel, without revealing *why* they were necessary. I thought that detail really added to the story, and that Elrohir came up with a good explanation.
Finally, I really enjoyed the physical description of their foray into the "Wild".