Group I.--The Mathematical dullards. These were incapable of solving the most elementary problems in Mental Arithmetic or else did so with hesitation and difficulty. They were instances of sluggish and dragging walk, and presented a sleepy or dreamy appearance at work or in repose. They suggested arrested mental growth. From a careful study of these men by observation and immediate contact exercises were selected that would tend to act upon their defects. In addition the exercises prescribed necessitate the direct employment of their mathematical faculties. The following schedule was adopted, though subject to constant change as occasion for change presented itself. The exercises of their group as with others are confined to one hour's practical work five days per week. The men receive a daily rain bath and rubbing down immediately after their exercises. With this group the hour is divided into sessions of half-an-hour each, subdivided into periods of fifteen minutes. The first fifteen minutes are devoted to light calisthenics executed by command with loud counting and simultaneous movements. This is followed by 15 minutes of marching and facing movements with step counting. The first 15 minutes of the second half hour are occupied in the laying out of geometrical fields for athletic events. Employing the 50ft. tape and the 2ft. rule with divisions of an inch. After being instructed as to dimensions they are required to lay out the following:-- (a) Baseball diamond; (b) basket ball field; (c) track for 30 and 40 yards running races; (d) placing of hurdles at intervals, in harmony with established athletic field rules. The closing 15 minutes embraced practical work, viz., high and long jump, hop skip and jump, high kicking, target throwing, etc.