註釋 Of all the technical schools in the United States, probably none exists whose aim is so clearly defined as that of our two great Government schools for the training of officers for the United States Army and Navy. The purpose of these schools is strictly utilitarian, viz, to give to a selected number of young men of this country the best possible technical training for the positions of responsibility in the Army and Navy. That these schools do their work well is amply demonstrated by the efficiency of our military and naval forces. It is always of interest to see how a school fulfills its aim, how it adjusts its subject matter to meet the particular task in hand, and how it eliminates that which detracts from the main purpose. To teachers of mathematics such an investigation will be of particular interest, especially in view of the tendency of a number of modern educators to demand a justification of every topic in the curriculum. It is the purpose of the two reports submitted herewith to give such an exposition of the teaching of mathematics in these two great schools, the United States Military Academy at West Point and the United States Naval Academy at Annapolis, these being the only schools of the kind in the United States. These reports will repay a careful reading; they are suggestive to all teachers not only in details of class organization, but in the general handling of subject matter to serve a definite purpose. They will show why mathematics has so long held and still retains its prominent place in the training of military and naval officers. Individual sections contain footnotes. [Best copy available has been provided.]. 