PRIME Minister Julia Gillard has moved to overhaul the curriculum to ensure students learn about social media abuse as part of an anti-bullying push across the school system.

She has personally asked the Australian Curriculum, Assessment and Reporting Authority to include anti-trolling and anti-cyber abuse on the expanded curriculum.

The Prime Minister's intervention follows a Daily Telegraph campaign to crack down on trolls and stamp out online bullying and schoolyard violence, which resulted in Twitter agreeing to greater co-operation with authorities investigating online abuse.

She agreed that the expansion of anti-bullying classes to include Twitter abuse and other forms of online intimidation was clearly warranted with the rapid rise of social media over the past decade.

She is seeking an assurance from the authority that programs to educate kids about the dangers and responsibilities are included in the national school curriculum.

"Whether it's physical violence or online intimidation, we need to ensure that our kids learn the lesson early in life that this conduct can cause great harm and have real consequences," Ms Gillard said.

"We have seen the damage that can occur as a result of relentless online bullying.

"Through the national curriculum, Australia can make sure that every student in every school knows this behaviour is not on.

"The Daily Telegraph has been raising awareness of these issues in the community through the Stop the Trolls campaign and I commend the Telegraph for their efforts.

"There is more that we can do to raise awareness of these issues and support parents and teachers to help young people do the right thing."

ACARA is working on an expanded draft curriculum on Health and Physical Education and Civics and Citizenship for release next year.

The Prime Minister's push to expand the school curriculum follows a broadly welcomed move this week by Twitter to work directly with Australian police to track down trolls or cyber bullies who breached Australian law.

"As you know the student well being issues of bullying and school violence are issues of national importance, especially with the increasing prevalence of social media," the PM wrote in a letter to the ACARA chair Barry McGaw.

"When I visit schools and talk to members of the community I am often reminded of the damaging impacts of bullying activities such as trolling and the unacceptably high incidence of violence affecting young people, including the school yard," Ms Gillard said.

Read more on our Stop the Trolls campaign:

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