A Treatise on Arithmetic, Combining Analysis and Synthesis

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It has been assumed that the learner has some knowledge of the properties and relations of numbers, (and no scholar should be allowed to study Written Arithmetic until he is familiar with that incomparable work —Warren Colburn's First Lessons,) yet it is believed that every intricate principle has been clearly presented before its aid is required for the solution of an example.

It has been designed to give answers enough to inspire confidence in the learner, and yet to omit enough to secure the discipline resulting from proving the operations.

At the close of the work, an extended Supplement has been added, designed to be suggestive (and this has been a leading idea in the whole work) rather than full or consecutive, it being considered the great end of school discipline to lead the pupil to think for himself.

In submitting this treatise to the intelligence and candid criticism of school committees and practical teachers, the author takes pleasure in acknowledging deep indebtedness to the Principal, the Associate Teachers and Treasurer of Phillips Academy, and to other eminent teachers and men of practical knowledge, for important suggestions and valuable criticisms in the preparation of the work.