Query: Which entity runs the Bronx's public noncharter schools?
Context: Education in the Bronx is provided by a large number of public and private institutions, many of which draw students who live beyond the Bronx. The New York City Department of Education manages public noncharter schools in the borough. In 2000, public schools enrolled nearly 280,000 of the Bronx's residents over 3 years old (out of 333,100 enrolled in all pre-college schools).