Kevin Courtney, joint general secretary of the NEU, has also called for ministers to prepare to introduce school rotas for the end of any new restrictions.
Mr Courtney said not including schools and colleges would likely lead to the need for even longer lockdowns in future.
“The latest figures from the ONS estimate that 1% of primary pupils and 2% of secondary pupils have the virus and that these levels have increased dramatically since wider opening in September,” he said.
