When Mayor Michael R. Bloomberg closed the notorious reassignment centers known as rubber rooms this year, he and the city’s teachers’ union announced triumphantly that one of the most obvious sources of waste in the school system  $30 million a year in salaries being paid to educators caught up in the glacial legal process required to fire them  was no more.

No longer would hundreds of teachers accused of wrongdoing or incompetence, like Ms. Gill, clock in and out of trailers or windowless rooms for years, doing nothing more than snoozing or reading newspapers, griping or teaching one another tai chi. Instead, their cases would be sped up, and in the meantime they would be put to work.

While hundreds of teachers have had their cases resolved, for many of those still waiting, the definition of “work” has turned out to be a loose one. Some are now doing basic tasks, like light filing, paper-clipping, tracking down student information on a computer or using 25-foot tape measures to determine the dimensions of entire school buildings. Others sit without work in unadorned cubicles or at out-of-the-way conference tables.

“They told me to sit in a little chair in a corner and never get up and walk around,” said Hal Lanse, a $100,000-a-year teacher from Queens who had been accused of sexual harassment. He was assigned to an administrative office on Fordham Road in the Bronx in September as part of a deal that led the city to drop the charges against him.

One day he plopped down on a couch in the hallway and began reading a novel, he said. Eventually, he dozed off. Then he was asked to “paper-clip some papers” and refused: he was charged with insubordination. He is now collecting his full salary at home in Queens, with plans to retire in January; the city is trying to fire him for insubordination before then, which would reduce his pension.