Publisher's Synopsis
Excerpt from Elementary Arithmetic
The very general slighting of systematic table work in the schools of this country has proved a sad mistake. The combinations of simple numbers in the elementary processes are presented here in tabular form, and without disguise; and they are to be learned in an orderly way. The elimination of the multiplication tables from some arithmetics, and the half hearted and almost furtive use of them in others, are not easily explained.
Teachers complain that much that is called addition in school work is really only counting; that the pupil who is to add together two simple numbers will begin with one of these, and mentally count through the units of the other. This evil is almost universal. But who is to blame for it? The pupil? No. He has been taught to do that very thing. Either he has not been taught the difference between adding and counting in combining two or more numbers, or no substitute for counting has been given him. In this series, addition in arithmetic is defined to be adding without counting; and in all sincerity and good faith the pupil is told that he must learn some combinations before he can add in this way. He is not first taught to add by counting and then reproved for doing what he was taught to do.
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