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T5:95350 Eduat 19.09.863 Ft 2

COPYRIGHT, 1909, BY GEORGE WENTWORTH

AND DAVID EUGENE SMITH
ENTERED AT STATIONERS' HALL
ALL RIGHTS RESERVED

99.10

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PRE FACE .

In deciding the form of arrangement for this book the authors accept the fact that each of the two well-defined types of text-books in arithmetic has advantages. A teacher may prefer either one or the other, according to circumstances or training; and the same teacher might conceiva ably, in the exercise of the best pedagogic judgment, use under one set of conditions a text-book of one type, and when conditions changed employ a book of the other kind.

With books of the type arranged for the recurrent treatment of topics the market is well supplied. Some of the extreme books of this recurrent form are, it is true, too fragmentary in arrangement to give the pupil that feeling of mastery which is his right and his reward. But excellent books of this type, which avoid its perils and provide all its good features, are now available. There is, however, great need for arithmetics having the topical arrangement but thoroughly modern in spirit and in material. That need this book is written to supply. The leading principle that has made the Wentworth books the standard in America for a generation has been followed : Present the reason briefly but clearly, then furnish such an amount of practice that the pupil cannot forget the principle. Theory is reduced to a minimum, and practice is abundant, in both abstract and concrete work, since the experience of a century proves beyond question that each of these two lines must be treated fully to prepare the pupils for life.

The concrete problems are modern in the best sense. Those that seem to be real are real; modern business

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