Excerpt from A Key to the Introduction to the National Arithmetic: Exhibiting the Operation of the More Difficult Examples in That Work, for the Use of Teachers Only

The object of the author, in this publication, is to aid the teacher in communicating instruction to his pupils, and in detecting any error which they may have made in the operation of the examples.

Every instructor, who has a large number of scholars under his care, is, aware that it is a great tax on his time, especially when in school, to examine the opera tion of many arithmetical questions; whereas, by the aid of a Key, he may readily detect any mistake in the operation. Besides, amid the labors of the school-room, it is often very difficult for the most able arithmetician to recollect, at the moment, all the principles involved in the solution of difficult questions; but, by recurring to a Key, this difficulty will be obviated.

The author would recommend to teachers never to point out directly to the pupil the method of solving a problem, nor perform the labor for him, but suggest and explain such principles as will enable him to perform the question himself.

The answers to all the examples in the Arithmetic are inserted in the Key, for the convenience of those teachers who may prefer to use the edition of the Arithmetic which does not contain the answers.

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