The House Rules Committee voted Wednesday to approve the amendment from Republican Rep. Jan Jones, sending it forward for a floor vote.
The amendment would need to be approved by a two-thirds majority in the House and Senate, then be ratified by voters.
Jones said the amendment would clarify the state's ability to create charter schools. The state Supreme Court earlier ruled a special state commission tasked with creating some charter schools was unconstitutional, creating legal uncertainty.
Democratic leaders say the amendment will undercut local control of schools and strip already scarce funding from school districts.