The Mathematics Study Bulletin series of the International Association for the Evaluation of Educational Achievement (IEA) is intended to serve a number of purposes: (1) to consolidate the decisions of the International Mathematics Committee; (2) to provide a historical record of the development of the Project; and (3) to provide working instructions for National Centers and National Mathematics Committee members. This bulletin elaborates upon the design for the Study, provides a detailed timetable, and summarizes sampling and instrument specifications. It is intended that this document contain sufficient information for National Centers to prepare proposals and proceed with other arrangements preparatory to participation in the Study. (MP)