a. Addition. Practical value of checks on all operations.
b. Subtraction, as discussed in section XI.
c. Multiplication. Should the tables extend to 12 × 12? Devices.
d. Division. Algorism considered historically and practically.
e. Historical note as to the number of operations.
9. Extent of Work with Fractions.
10. Nature of the Problems.
References: Smith, Teaching of Arithmetic, chap. xvii, p. 73. Handbook to Arithmetics, p. 29.
XVIII. The Work of the Fourth School Year
1. Leading Mathematical Features.