As a commission, ICMI is defined by two constituent components.
The first component is the Executive Committee (EC). The General Assembly of ICMI elects the EC for a four-year term. The responsibility of the EC is to conduct the business of ICMI in accordance with its Terms of Reference and subject to the direction and review of its members.
The second component is the set of ICMI Representatives of the member states. The Representatives are appointed by or on behalf of the Adhering Organisations or the Committees for Mathematics of the respective countries.
The EC members and the ICMI Representatives constitute the General Assembly of ICMI, which is summoned every four years in conjunction with the quadrennial International Congress on Mathematical Education (ICME). Representatives of ICMI Affiliate Organizations are invited to attend the General Assembly but have no right to vote.