This Treatise is but the beginning of the subject though, it is hoped, a rational beginning. With more experience it might have been made better; and it is now only offered as an introduction to the systematic study of Number, until a better work shall supersede it.10 remarks ON teaching arithmetic. The second stage Of Arithmetic may consist Of Arithmetic taught upon the common plan; and it will be found that by previously going over this first stage, many of the ordinary difficulties of the science will be removed or lessened, and the time usually expended upon it greatly diminished.