A deadlock between the South Australian government and Australian Education Union (AEU) appears to be broken, with public school teachers being encouraged to accept a fourth "improved" pay and conditions offer.

The AEU's executive on Monday decided to recommend to its members that they accept the revised enterprise agreement, to avoid a third strike in as many months.

The revised deal proposes a 4 per cent teacher pay rise in the first year of the new agreement, and 3 per cent increases over the next three years.

The AEU said it also proposes to boost incentives for country teachers and provide $16 million each year to reduce the workload of preschool directors.

"The offer we received today makes several improvements to key measures of our platform and represents the largest ever investment in a South Australian education enterprise agreement," the union's branch president Andrew Gohl said.

"There is no silver bullet to fix a crisis brought by years of underinvestment, but the AEU has secured the most possible through negotiations, supported by our members."

Members have until Friday, December 15 to vote on whether to accept the offer.

The AEU says the new agreement will commit $16 million each year to reduce the workload of preschool directors.(ABC News: Lincoln Rothall)

"This offer, while imperfect, provides a strong foundation for our ongoing work to improve working conditions for public educators, as we continue to campaign for an education system that receives the respect and investment it deserves", Mr Gohl said.

"Whether we accept this offer is now up to our committed members, who work tirelessly to support students in schools and preschools every day."

The ABC has contacted Education Minister Blair Boyer for comment.

Members voted to strike for the second time in November, refusing the government's previous offer of a 4 per cent pay rise in the first year of their new agreement, followed by a 3 per cent rise in the second year and 2.5 per cent rise in the third.

At the time, Mr Boyer said the offer was worth about $1.4 billion and amounted to the largest ever made to teachers in South Australia.