This part of the Third Monitoring Report on the progress of desegregation in the Boston Public Schools covers activities for the period from December 1983 through May 1984. First, the Boston School Superintendent's response is presented to challenges made after previous reports showed little progress in staffing, facilities, bilingual education, vocational and occupational programs, and school safety and security. Statistics and other documentation of progress are given for each area. Next, the findings of 7 of the 12 court-ordered monitoring areas are presented in full. The areas of concern addressed include student assignments, staff, special desegregation measures, special education, bilingual education, vocational and occupational education, and transportation. Each report presents objectives and questions, methods, findings, commendations, and recommendations, as well as documentation (letters, statistics, and memoranda in support of specific findings). (KH)