Multiplication and division by integers.
Proposition a is b times as large as ab.
Multiplication and division by fractions.
Meaning of 2⁄3 of 7⁄8.
Measures, common measures, factors, common factors.
Reduction by inspection.
Meaning of common multiple, common measure, L.C.M. and G.C.M.
Bringing to common denominator.
Addition and subtraction.
Exclusion of some subjects.There are interesting papers by Potts of Cambridge, 2d., published by the National Society, giving the history of arithmetic. I have found it throws much interest into the subject to teach it historically. It seems to me that various things at present included in arithmetic books should be deferred; e.g., present values, annuities, etc., which no one would be likely to attempt who is unacquainted with algebra.