Although I am to speak “from the University point of view” I wish to consider not only how the small number of boys who will go to a University may best be prepared for their work there, but also the general problem of the teaching of Algebra in the upper forms of schools. This problem is connected with a larger question, whether the balance of subjects is right in present-day school teaching in mathematics, and perhaps you will permit me to start with a short digression on this point.