Although the 2013-14 calendar (link below) shows Mid-Winter Recess as being Feb. 17 - 21, a teacher I know says they were informed recently that schools will only be closed that Monday and Tuesday, courtesy of Emperor Bloomberg.
Teachers are also working without a contract and this could change with a new administration and/or contract.
http://schools.nyc.gov/NR/rdonlyres/D45BBFC5-BB4E-4C6B-ACE7-F7E15D8AA1BE/0/20132014SchoolYearCalendarFinalDraft3613.pdf
Disregard the above ... it was erroneous information.