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PREFACE

HIS series of arithmetics was prepared to meet the requirements of progressive school men and women who want practical, usable textbooks, free from fads and sufficient to their purpose. Each book of the series clearly provides for the mathematics required by the pupils of a given age. The material is well organized and adequately motivated throughout.

In the fullest sense of the words, these books are not the outcome of one set of experiments or the presentation of another; neither are they a compilation nor the result of hasty effort. They are the product of years of classroom experience, coupled with the observation of scores of capable classroom teachers with whom the authors have been in daily contact. A familiarity with educational experiments and investigations has enabled the authors to use the results of such research whenever those could be utilized in the selection, gradation, and arrangement of material so as to achieve greater economy in the learning process.

Throughout the three books of the series there is a maximum of practice and a minimum of theory. Principles have been simply and naturally developed; technical explanations have been omitted. At every step emphasis is placed upon the development of a high degree of accuracy and reasonable speed in computation. Drill exercises have been designed with this end in view; they provide for individual differences of pupils and assure a certain degree of attainment to those of less than average ability.

Problems which are genuinely practical grip the attention of the pupil because they are based upon his experiences. Large numbers of such problems, well chosen and well graded, go far toward lessening the teacher's labor because they assure the joyful coöperation of the learner. Numerous reviews, comprehensive and properly placed, insure a mastery of content and

iii

M55971

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