Excerpt from Practical Arithmetic, Vol. 1: An Introduction to Elementary Mathematics for Scholars Between the Ages of 9 and 12

The proofs (or illustrations) If some of the rules are only given in order that the scholars may be led to see that the rules are not mere tricks. It is not intended that the proofs shall be reproduced in examination tests, or even that they shall be remembered. The teacher Will, therefore, deal with them as thoroughly as possible when they occur, and push forward.

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