This note describes the work of TSG-55, indicating its main organizational stages and the number of reports presented. Brief descriptions of the topics of the presented reports are provided. These may be grouped into several categories: reports devoted to reforms; reports investigating the work of various mathematics educators; reports discussing the history of specific subjects in courses, textbooks, or other handbooks; periodicals, connected with mathematics education; and so on. Lastly, certain conclusions are drawn about the current state of this academic field.