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.