Elementary education is that training which by common custom is deemed desirable and necessary for the duties and privileges of citizenship. It is usually made compulsory by law. Like all such definitions, the meaning of this statement becomes clear only through an examination of its interpretation as given in the curricula of the various school systems or in somewhat more specific statements of its content by various individuals. The elementary school strives to give the pupil control over the tools for the acquisition of knowledge, to excite a large number of curiosities, to stimulate thinking, to form the habit of collecting facts with which to think, and to aid the pupil in the formation of right habits of conduct. In this bulletin committees explore various fields of investigation that relate to mathematics in the elementary schools. Contents include the following: (1) Subcommittee 1. Schematic Survey of American Educational Institutions--Their Sequence and Interrelations; (2) Committee No. I. General Elementary Schools; and (3) Committee No. II. Special Kinds of Elementary Schools. An index is included. Individual sections contain footnotes. (Contains 3 tables and 33 figures.) [Best copy available has been provided.]