1. Recent Changes brought about from a Consideration of Child Psychology.

2. The Growth of the Textbook.

a. The Treviso arithmetic of 1478, and the early arithmetics of Italy, Germany, France, England, and Holland.

b. The two-book series.

c. The three-book series.

d. The extreme spiral arrangement.

3. The Modern Curriculum in Arithmetic.

a. Its origin.

b. Its present status.

c. Improvements to be considered.