Teachers and head teachers handed a petition to the government on Thursday, calling for Ofsted to be replaced.
The petition was started before head teacher Ruth Perry took her own life while waiting for an Ofsted report.
Ms Perry's family have blamed her death on the "intolerable pressure" of the inspection, which downgraded her primary school to "inadequate".
The Department for Education says inspections are "hugely important" and "a legal requirement".
The National Education Union wants Ofsted, England's schools' watchdog, replaced with a "supportive, effective and fair" accountability system.
The petition, signed by 52,000 people, also calls on the government to work with teachers and leaders to look at how these work in other high-performing education nations.
