Burling told police she was "bored and it was something to do on Facebook" and another time said she had done it as a joke.
The victims spent considerable time and effort explaining the situation to staff, students and parents, the summary said. One was also scared for the safety of her child.
Judge Chris McGuire asked Burling if she liked being in jail. "This lady you are targeting needs a break," he told her. "You have been tormenting this victim via Facebook. I need to stop you getting drunk and contacting these ladies and I've failed, haven't I."
He said the only way he could stop Burling was to lock her up.
He also ordered her not to contact the victims for a year and not to consume alcohol or drugs for six months after her release.
Rotorua Principals' Association president Linda Woon said staying safe online was the main topic of discussion at the association's meeting this week.
She said cyber-safety was a growing issue for students, teachers and support staff. "It certainly worries principals to the extent we asked very busy principals to come and talk about it [this week]," she said.
Mrs Woon said teachers were held to high standards and as such were vulnerable.
"They could be doing something in a perfectly innocent context, even dressing up for Halloween, and photos [can be] used in the wrong context," she said. "We have to talk to our staff about their personal safety and being very careful what things are shared online from their private lives."
She said the Burling case was not a one-off situation and such instances were devastating for teachers involved.
Mrs Woon said the Harmful Communications Bill, introduced to Parliament this week, should help better manage cyber-bullying.
"We're looking forward to the new law next year, it will give us more options," she said. "Facebook is not particularly swift in addressing issues. The police also have difficulties in managing it."
Proposals in the bill include making it an offence to send messages and post material online with intent to cause harm, allowing people to take serious complaints to the District Court and providing a legislative mechanism to quickly remove harmful content from websites.