1. 1. In previous reports issued by the Association, general reforms have been suggested which apply to the teaching of Arithmetic as well as of other subjects, and some detailed suggestions have been madewhich applyexclusivelyto Arithmetic. The present report deals at greater length with Arithmetic only—its relation toother subjects, its scope and its treatment.

2. 2. There are certain parts of the subject-matter of the Arithmetic Course that are regarded by many teachers as of little educational value to the ordinary student.The Committee suggest that these should not be considered a necessary part of the Mathematical Course.This suggestion in no way interferes with a teacher who, either from personal preference or local considerations,wishes to take a more detailed course ; at the same time, it allows others to omit certain parts of a more specialised character. The Committee hope that in the course of time the parts omitted will cease to be required by examining bodies.The omissions will be discussed in detail below.

3. 3. The Committee recommend that the time set free by the elimination of a part of the usual subject-matter should be spent, partly in securing a higher standard of accuracy in straightforward computation and partly in extending the range of the ordinary school course in Mathematics.

The directions in which this course may be extended are discussed in detail in a recent report issued by the Association entitled “A General Mathematical Syllabus for Non-Specialists in Public Schools.”