Four years ain't that short, frankly, if you compare the timeline, Charles gain all those skill of her in 2 years, and Cecilia in 3 years or so. Laura was the only one that is trained as a soldier for a decade, even then she just learn how to use I.S. properly at age 13 (when she meet Chifuyu)
Child genius ain't that rare in I.S. verse
Side note - What's more interesting that duel between I.S. cadet rep? At least the Teacher stop them before they pour the hell during the class-time, and inform them that they can use the Arena later.
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