A school in Ballinteer has paid tribute to Faizan Syed, Asfira Riza and their mother Seema Banu after the discovery of their bodies yesterday in their home in south Dublin.
Orlaith Curran, Principal of the Ballinteer Educate Together National School said their deaths were "a terrible tragedy for their family, our school and our community".
"We are deeply saddened by these devastating events.
"Our sympathy and thoughts are with the children’s family and friends," said Ms Curran.
Faizan Syed, aged 6 was in first class while Asfira Riza, aged 11, was in sixth class according to the principal.
Ahead of the school's return from mid-term break next week, Ms Curran said psychologists from the National Educational Psychological Service (NEPS) have been supporting staff.
The school has also began their Critical Incident Management Plan in response to the deaths.
Offers of support have been most welcome Ms Curran said.
A statement from the Educate Together national office described the deaths as an "awful tragedy".
"Words fall short of expressing the shock and profound sadness many are feeling when thinking about the children and family affected.
"Our hearts are with the family, friends and classmates of the bereaved," the statement said.
Gardaí are still awaiting the results of post-mortem examinations and technical tests on the bodies of a mother and her two children, discovered yesterday, in order to determine the course of their investigation.
Preliminary indications from the scene suggested all three died from strangulation.
The Dublin Armed Support Unit was called by gardaí in Dundrum to the house at Llewellyn Court in Ballinteer, south Dublin, after neighbours raised concern.
The children were found face down in a back bedroom and the mother was found face up in an upstairs front bedroom.
It is thought that the bodies may have been there for a day or two.
The house was flooded as taps had been left on and the ceiling was in a state of collapse.
The bodies were removed shortly after 6pm and post-mortem examinations are expected to be completed on Thursday.
Gardaí are understood to have located an individual who they wish to speak to as part of their investigation.
Technical evidence was gathered, including DNA, fingerprint, and fibre samples, from the crime scene.
While gardaí are following a strong line of inquiry, they are keeping an open mind.
A vigil was held by residents and family friends at the estate on Wednesday night.
The mother was assaulted earlier this year and a case was pending before the courts.