These cuts will result in the loss of a senior correctional education officer, education officers and six teachers. Ten local teachers will be replaced by two clerical positions.

Teachers Federation organiser Waine Donovan and local teachers held a meeting on Wednesday in Goulburn to discuss the cuts. They then staged a small protest outside Goulburn MP Pru Goward's office to directly voice their concerns.

NSW Teachers Federation organiser for Goulburn Correctional Centre Rob Long said that, at the meeting, they discussed the teachers' disgust at Corrective Services Minister David Elliott's decision to cut education services at Goulburn and across NSW.

He said they called on Ms Goward to again voice their concerns.

"If Ms Goward does not succeed in stopping Minister Elliott cutting local jobs, Goulburn will lose 10 local teachers who will be replaced by two clerical positions," Mr Long said.

"The outcome of this is the local, university qualified correctional education employees will be reduced and downgraded to clerks with a subsequent pay cut.

"Recognised teaching qualifications will no longer be required and more than 130 of 150 teachers in the NSW prison system are being made redundant.

"So we are calling on Member for Goulburn Pru Goward and Corrections Minister David Elliott to reverse the State Government's decision and stop the cuts to these jobs and to reinstate quality prison education, staffed by qualified local teachers. The job losses will impact on the local community and economy."

Mr Long said teachers were disappointed that the State Government had decided to keep teachers in four jails, including Nowra, Lithgow, Kempsey and Wellington - which are classified as 'Intensive Learning Centres' - but are going to axe teachers at Goulburn.

"Nowra jail is about the same size as Goulburn and is a regional jail, so there is no logical justification of why Goulburn is losing all of its teachers when Nowra is keeping theirs," he said.

Mr Long said he would address of the Goulburn Teachers Association to voice the concerns of the jail teachers to their colleagues.

He said NSW Teachers Federation president Gary Zadkovich is also meeting with Minister Elliott next Thursday to voice the local teachers' concerns. "We have definitely not given up," Mr Long said.

Meantime, Ms Goward said Minister Elliott knew her position very well on the proposed cutback of prison teachers. She had met with Mr Elliott following talks with the teachers' union.

"He didn't know that teachers at the Goulburn jail had already gone to a 48-week teaching year," she said. "I provided him with that material and more, and I'm now awaiting his decision."

Ms Goward said she felt very strongly about the need to retain current numbers, particularly given current "disruptions", including the smoking ban. "They're fantastic people," she said of the teachers.

"They do a great job. The Goulburn jail is difficult because it's divided on race and moving prisoners around is very hard. If you bring in consultant teachers (as proposed) it causes even more disruption."