The Minister for Education has said the signs are very positive that the rest of school students can return to the classroom after the Easter break.
Norma Foley said the return to school is going very well and the contact tracing positivity rate in schools is currently at 2.4%, compared to 10% in the community.
She said the reopening of schools has been hugely positive and has given society as a whole an enormous boost.
Latest figures show that 1,842 tests for Covid-19 were carried out in 108 schools in the seven days from 7-13 March.
The number of detected cases of the virus in that period across all schools was 44.
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On Monday, around 350,000 children and teenagers returned to their classrooms as the phased return to school continues.
All remaining primary school children returned, meaning primary schools are all now fully reopened.
Fifth year students at second level also went back to school, joining sixth years who returned on 1 March.
The target date for the return of the rest of secondary school students is 12 April.
Meanwhile, the government has launched a new programme, under which €15 million is being committed to support people walking, scooting, and cycling to primary and post-primary schools.
The funding will be used to create safer walking and cycling routes within communities and to alleviate congestion at the school gates.
Speaking at the launch this afternoon, Minister for Transport Eamon Ryan said the scheme was a key chance to improve things for the better.
"When I was going to school, roughly half of the students were walking and cycling to school.
"In my mind it makes real sense to go back to creating a safe environment where people can walk and cycle safely.
"It's really good for our health, it's really good for traffic, it's great for independence and it means you arrive into the school energised and ready to go. Just on that simple level, giving our children freedom safety, health, independence, and energy that's everything to gain".