Kagome would tell me and (class)my mates all about the various aspects Feudal Era, demons of the day, about magic, and maybe even archery, and she(might) also tell us stories detailing her adventures in said Era searching for shards of the Shikon Jewel with her friends. And 1 or more of said friends might pop in on the odd day. She'd be a very fun teacher whose classes everyone would look forward to, on top of the fact that most of us would likely at first have a crush on her only to be either disappointed when we learn that she's in a relationship with Inuyasha or get scared shitless when we learn from an angry Inuyasha that Kagome is his wife/girlfriend.