Dr. McLachlan and I felt that it would be best to commence the discussion by dealing with the work done in technical colleges and thus lead up from the younger to the older. Mathematics classes in technical colleges can be said to fall into three groups : first, for those in which there are junior and technical schools there are mathematics classes for lads aged from 13 to 16 ; secondly, there are classes for those over 16 which we may group under the heading “ Degree Courses ”, that is to say, Matriculation, Intermediate and Final Degree and Special Honours classes for science or engineering; thirdly, there is what is probably the largest group, taking the colleges throughout the country, namely, the National Certificate classes leading up to the Higher National Certificate.