PURCHASE, N.Y. — A pair of loosely staged, early-19th-century Italian operas in Westchester County: At first glance, Will Crutchfield’s fledgling Teatro Nuovo company, which performed this weekend at Purchase College, has a lot in common with his Bel Canto at Caramoor series, which ran for 20 years, just 17 miles north.

But a funny thing happened on the road to Purchase. Mr. Crutchfield became a kind of headmaster, rather than just a conductor. In Teatro Nuovo, now in its second summer season after the farewell to his Caramoor series in 2017, he has established an unofficial academy — or call it a boot camp — of bel canto, training a rising generation of performers in what he considers an endangered art.

Rather than the veteran Orchestra of St. Luke’s, the resident ensemble at Caramoor, Mr. Crutchfield now fields a handpicked, very young period orchestra with an unconventional conducting setup and arrangement of players. He and a faculty of coaches school the musicians and singers in the fading forms of idiomatic ornamentation and phrasing.

And, in what may be the most happy change for those who grew tired of traipsing back to New York City from Caramoor after a long performance, year after year, the operas will be reprised at the Rose Theater at Jazz at Lincoln Center — Bellini’s “La Straniera” on Wednesday, and Rossini’s “La Gazza Ladra” on Thursday.