The school building in the northern town of Beit Lahiya caught fire after the bombing early on Saturday.
According to witnesses, angry clashes broke out around the school as Israeli tanks exchanged fire with Palestinian fighters.
This is the fourth school run by the UN agency for Palestinian refugees UNRWA which has been hit by Israel during its 22-day-old offensive against the Gaza Strip.
Meanwhile, a two-year-old baby was killed in Israeli shelling in the northern town of Beit Hanun, press tv quoted medics as saying.
They also said that Israeli fire killed three other people elsewhere in the north.
So far, at least 1,193 Palestinians have been killed and another 5,311 wounded in the Israeli onslaught on Gaza.
Some 600 civilians including 411 children have been slain, Gaza medics said.
Tel Aviv launched Operation Cast Lead on December 27 to put an end to rocket attacks against southern Israeli towns.
The huge number of civilian casualties in the densely-populated coastal sliver has provoked global outrage.
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