The subject about which I have to speak to you to-day is one which was bound, in the course of time, to occupy the attention of the Mathematical Association. This Association was founded, as you know, for the purpose of improving geometrical teaching, but since its foundation, some sixty years ago, its activities have widened. It no longer confines itself to Elementary Geometry, but has issued reports on the teaching of Arithmetic, Algebra, and Mechanics. None of these, however, except possibly the last, touches on anything more advanced than School Certificate work, and even the Mechanics report does not deal with anything far in advance of this standard.