1. Syntax or etymology first?

2. A study of the methods of development adopted by some of the representative textbooks.

References: Laurie, Hinsdale, Carpenter, Baker and Scott, and Chubb. Liddell, “English Historical Grammar,” Atlantic Monthly, Vol. LXXXII. Sweet, New English Grammar, Part II. Barbour, The Teaching of English Grammar; Goold Brown, Grammar of Grammars (Introduction). Krapp, Syllabus of English Language and Grammar (Columbia University Extension Syllabi, Series A, No. 5).

II. THE TEACHING OF MATHEMATICS IN ELEMENTARY SCHOOLS

By David Eugene Smith, LL.D.

I. The History of the Subject

1. Advantages to a Teacher in Studying the History of the Subject Taught.

2. The Early History of Arithmetic.

3. The Growth of Number Systems.

4. The Development of Arithmetic as Known at Present.