NZEI Te Riu Rua president Mark Potter says there are other areas the Government should be focusing on.
"It's not our intention to pit schools against each other," Education Minister Erica Stanford says.
Educators are worried about a recently released Ministerial Advisory Group report on English, maths and statistics.
"Only handwriting activates and strengthens the brain's orthographic mapping pathway."
House of Science was formed in 2014 after a report found more than 70 percent of schools didn't have an effective science programme.
The Coalition is funding $89 million as part of this year's Budget towards redeveloping and increasing specialist facilities.
A "distressingly large" number of students were unable to log into their exams or were shown other students' information.
The course enrolled just 42 students and had 29 graduates over two years.
It comes as officials mull a social media campaign to boost attendance.
