A measure to let Chicagoans elect public school board members passed in Springfield this week but it still must go back to the state House for a final O.K. Chicago is the only city in Illinois that lets the mayor appoint school board members. The bill calls for the first election of members of the Chicago Public Schools Board of Education in 2023. After the bill goes to the state House for final approval, it would still need the signature of Governor Bruce Rauner, who hasn’t taken a public position on it.