This may come as a shock, but it isn’t until a good quarter of the way through her new MTV documentary that Miley Cyrus sticks her tongue out. And twerking? Barely a passing mention.

Someone at MTV deserves a serious raise for foreseeing the distant gold in the reinvention of Miley Cyrus, the “Hannah Montana” tween star who shocked the pearl-clutching world last month with a foam finger, a slew of teddy bears and a heaping portion of sex in an instantly infamous performance at the Video Music Awards.

For its surprisingly kinetic one-hour documentary, “Miley: The Movement” — premiering Wednesday at 10 p.m. — MTV followed Cyrus for four months, from the early summer debut of Miley 2.0 with her urban single “We Can’t Stop” through her naked-but-for-the-boots music video for the chart-topping “Wrecking Ball.”

The titular “movement” is what Miley calls her transformation from wholesome Disney entertainer to a 20-year-old doing whatever-the-hell she wants.

“People always want to call it a transition . . . It’s not a transition,” she says forcefully in the doc. “It’s a movement. It’s a growth. It’s a change.”

Self-aggrandizing aside, there’s no debating that this is a Cyrus we haven’t seen before. Beneath the casual appropriation of black culture is a hard-working young woman who, frankly, knows exactly what she’s doing.