A petition calling for a school to be built at the affordable housing site has more than 400 signatures.
Parents still worry that a lack of school space will continue to be a problem in the neighborhood.
The most seats are coming to Queens, with the fewest slated for Manhattan and Staten Island.
Some parents who are tired of waiting for new schools want the city to consider adding one on Third Ave.
The Pine Street school will begin offering preschool, kindergarten and first-grade classes in fall 2014.
Officials nominated longtime P.S. 234 teacher Pat Carney to lead the new school on Sixth Avenue.
The new building should house 540 to 600 students when it reaches full capacity by 2017.
The long-awaited deal will create additional school seats for West Village and Greenwich Village kids.
Hunters Point Community Middle School will use the nearby waterfront to teach about the environment.
The schools were announced by Mayor Bloomberg Tuesday.
The new schools set to open in September include a dozen elementary, one middle and seven high schools.
Space has been an issue for years in Woodside and Sunnyside, which straddle Districts 30 and 24.
Officials broke ground on P.S. 313, saying the new school will help overcrowding in Queens District 24.
The city will build an addition at crowded P.S. 11, which has used portable classrooms for over a decade.
The developers of the Astoria waterfront plan are exploring the possibility of a K-8 school at the site.
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