The Teaching of Arithmetic

Cover The Teaching of Arithmetic
The Teaching of Arithmetic
Frederick Felix Potter
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This identity of " X " and "of " is soon taught. The child can draw lines or rectangles to discover that J of J or J of J is J, a result reached by the ordinary rule, thus r-i-5.
4x2 So, too, he can discover on his ruler edge that § of £ is J or that £ of § is the same as f of £, i. E. F or J, which again may be reached by cancelling and multiplying in the usual way.
The close identity of "of" and "x" is also seen by comparing answers to pairs of problems such as — (a) J of 3 inches ; \ inch X
...3.
(6) | of 4 inches ; f inch X 4.
(c) f of 3 shillings ; fs. X 3.
(d) | of £2 ; £J X 2.
I — i — i — i — l — i — I — i — I — i Fig. 50.
Interpreting, then, the problem 1J X 2 J as meaning 1J of the group 2 J, we may represent this group by drawing or by concrete objects, and so find an answer.
(a) Using lines, a group of 2J can be arranged as in Fig. 50.
THE TEACHING OF FRACTIONS 217 Thus 1 J such groups can be shown as in Fig. 51 ■i -> Fig.


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