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Updated: May 3, 2025


I do not particularize further, because I know that good teachers will at once see the principle aimed at, and supply the other requisite lessons: the object of this book being rather to shew the principle of the thing, than to go into detail. The arithmeticon How applied Numeration Addition Subtraction Multiplication Division Fraction Arithmetical tables Arithmetical Songs Observations.

The former was effected as follows: the children sang, one is the half of two, two is the half of four, three is the half of six, &c. &c., and then brought one hand down on the other alternately, without however making too much noise, so as to interrupt the time; the latter was accomplished by the arithmeticon, which has already been explained.

We have various ways of teaching arithmetic, in use in the schools; I shall speak of them all, beginning with a description of the arithmeticon, which is of great utility. I have thought it necessary in this edition to give the original woodcut of the arithmeticon, which it will be seen contains twelve wires, with one ball on the first wire, two on the second, and so progressing up to twelve.

The furniture necessary for the school consists of a desk for the master; seats for the children; lesson-stands; stools for the monitors; slates and pencils; pictures and lessons on scriptural subjects; pictures and lessons on natural history; alphabets and spelling lessons; brass letters and figures, with boards for them; geometrical figures, &c.; and the transposition-frame, or arithmeticon, as it has been called.

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