From experience with my own daughter in daycare.... she has gone through phases where she will not sleep... at 27 months, she is hit or miss, more like every other day... however, keep in mind that babies and toddlers go through sleep regressions.
Sleep Regressions occur at 4, 8-10, 18 and 24 months.
Sleep regressions can take anywhere from 2-6 weeks to pass... The key to getting through a sleep regression is consistency... follow the same routine every day, at home and at daycare... always put them down and keep then in routine, when the regression passes the child will still be on schedule... If you change the routine because they are not sleeping, when the regression passes, the child will be off schedule...
Inthe case of the original poster though, I think the surce of the problem is the routine/consitecy at home...