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"This is a capital book, one which ought to be in every elementary school -indeed, we should have less miserable attempts at correct spelling in schools of a higher grade were this work used as a text-book."-The Quarterly Journal of the Associated Body of Church Schoolmasters.

"We like the book, and deem it much fitted to be useful. It comprises a large amount of matter, is compactly printed, and firmly put together."British Standard.

"If any one is to be found who cannot read fluently and spell correctly, it is at any rate not for want of good manuals. One such manual by Mr. Davis is a concise and useful book for beginners "-The Churchman.

ARITHMETICAL BOOKS.

MR. DAVIS'S Arithmetics are intended to afford a practically inexhaustible store of questions, carefully and easily graduated from the simplest to the most complex, and embracing every possible variety of form that could occur in business, or that could tend in the abstract to establish sound principles, or awaken healthy thought. The answers are (with the exception of those of the Junior Arithmetic) separate, to secure honest self-reliance; and explanations are avoided, as they are best given by the teacher. School-boys transferred to the counting-house have generally first and most signally failed in long Additions. This is guarded against by a practically exhaustless supply of very long Addition questions; and similarly with each weakness of the old theory. The Arithmetics are published, too, in so many various forms, and at such varied prices that almost every class of school will find one or more books in the series adapted to its wants and means.

4.-The Complete Book of Arithmetical Examples. Royal 18mo, strong cloth, Is. 4d.

This work has been thoroughly revised and re-stereotyped. It contains many thousand original examples in the various rules of Arithmetic, and the more useful rules of Mensuration, and will be found a useful book in all schools where a thoroughly practical knowledge of Arithmetic is considered of importance.

5.-Key to the Complete Book of Arithmetical Examples. Royal 18mo, cloth, 2s.

This work has also been re-stereotyped.

6.-The Complete Book of Arithmetical Examples, and Key, bound together, 35.

*This forms a useful book for Masters, Assistants, and Pupil Teachers.

7.-Arithmetical Examples

for Home and

School Use. Part I.

Containing a little more than one-half of the "Complete Book of Arithmetical Examples," and extending from Numeration to Proportion, and Vulgar and Decimal Fractions. Royal 18mo, strong cloth, 8d.

8.-A Key to the Arithmetical Examples, Part I.

Containing Answers to all the Questions. Thoroughly revised and corrected. Cloth, Is.

9.-Arithmetical Examples, Part I., and Key, bound together, Is. 4d.

This also forms a useful book for Masters, Assistants, and Pupil Teachers.

10.-Arithmetical Examples for Home and School Use. Part II.

Containing nearly 2000 Questions in the higher rules of Arithmetic and the more useful rules of Mensuration. Royal 18mo, strong cloth, 8d.

11.-A Key to the Arithmetical Examples. Part II.

Containing the Answers to all the Questions. Revised and corrected.
Cloth, Is.

12.-The Junior Arithmetic.

Containing thousands of Exercises (many of them wholly in words) in the Elementary Rules, Reduction, Simple and Compound Proportion, Practice, and Bills of Parcels; together with Explanations and Examples worked out, and the answers to all the Questions. Strong boards, cloth back, 6d.

13.-The Memory-Work of Arithmetic.

A complete compendium of Arithmetical Tables, Definitions, and
Rules. Demy 12mo, cloth back, 4d.

"The 'Memory-Work' is an unpretending but most unerring guide to all the perplexities of numbers."-Morning Star.

14.-The Grade Arithmetic.

Adapted to the Six Standards of the Revised Code, in three Parts.
Stiff covers, 2d. each; in limp cloth, 4d.

PART I. Including Standards 1, 2, 3, and containing nearly 3000 Examples (many of them entirely in words) in the Four Simple Rules.

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II. Including Standards 4 and 5, and containing upwards of 3000 Examples in the Four Compound Rules.

III. Including Standard 6, and containing nearly 1000 Examples in Bills of Parcels, Proportion, and Practice.

15.-The Complete Grade Arithmetic.

The Three Parts strongly bound together. Cloth back, 6d.

The Answers to the Questions of the "Grade Arithmetic" will be conveniently found in the KEY TO EXAMPLES, Part I."

Epinions of the Press on Mr. Davis's
Arithmetical Works.

PATRIOT.

"We have much pleasure and satisfaction in calling the attention of teachers to the above set of Arithmetical text-books. The author is one of the Inspectors of elementary schools in the North, and has, therefore, wide opportunity for observing the necessities of the school-boy and his teacher. His practical knowledge of the subject and general good sense are apparent on every page of these books. They appear to us to be the very best books ever issued. They are adapted alike to the poorest national and to the most respectable middle-class school. They are just what books on arithmetic should bethey are thoroughly practical. The examples given for practice in working are most abundant. Where ordinary books contain about thirty sums, these have three hundred; and when the common abstract additions and multiplications are passed, and the more concrete questions begin, one is struck by the naturalness of the propositions, and the adaptation of each to the commonest affairs of life. There are two peculiarities about these books that strike us as useful novelties. The first is there are no rules, and the second is there are no answers. The latter is an advantage that will probably be recognised as useful by all but the worst schoolmasters. The former is no less valuable. Surely no boy ever yet learnt how to work a "rule of three" sum from the "rules." The explanations are nearly always bad in books. They have a sort of puzzling mathematical accuracy which no boy understands till he has mastered algebra, and then he can dispense with them. These books necessitate thorough black-board instruction from the teacher first, and repeated practice by the scholar from his book afterwards. They are so cheap that every child can afford to purchase one for use at home in the evening. We recommend schoolmasters and tutors to employ such works, and to abandon the Cockers and Walkinghames of the ancient days."

ENGLISH JOURNAL OF EDUCATION.

"Mr. Davis's Arithmetics have already obtained-and deservedly so-a large circulation. Their characteristics are both positive and negative. The positive characteristics are-1. An immense number and variety of examples -such a number as we have never before seen in any single work. 2. Perfect adaptation to the wants and means of every class of school, from the most respectable middle-class to the poorest elementary school. The negative characteristics are-1. The absence of answers, which are published in a separate form; and, 2. The absence of all explanation of principles, &c., which are also published in a separate form, in a useful little book called "The Memory-Work of Arithmetic." Nearly all good teachers will consider the omission of the answers a great advantage, as all schoolboys, with the answer to any particular sum before them, naturally and most invariably work up to the answer, and hence they very frequently fail in accuracy of working when undergoing an examination. We believe, too,

that in Arithmetics intended for the use of schoolboys, long explanations of rules and principles are useless. These explanations must, of course, be given, but in all good schools they are now given by the teacher, with black-board illustrations. The boy who learned to work a "long division" "rule of three" sum correctly by reading the explanations given in most school books of arithmetic we should look upon as a phenomenon. Such a boy, we believe, is a perfect myth."

or

MORNING STAR.

"We have examined with some care this set of Arithmetical books for schools, and can cordially recommend them. The merit of a schoolboy in relation to Arithmetic is that he can work sums, and of a sum book that it helps him to do this. We think these books have this merit, and will accomplish the aim intended. The examples are very numerous and very good. They are not the mere parade exercise, which is of little value in the field of battle, but the questions given for solution arise naturally in every department of life."

EXETER FLYING POST.

"These Arithmetics have long been urgently needed, inasmuch as they simplify instruction in a branch of education of prime importance to every one, and render comparatively easy the attainment of Arithmetical knowledge which the teaching in previous works has beset with difficulties. This set of Arithmetical books is the most complete, the most practical, and the most economical that has yet appeared."

EDUCATIONAL TIMES.

"We have already noticed these works separately with commendation, as they appeared; and in placing them together here, we desire to draw the attention of teachers to a remarkably cheap, well graduated, and practical collection of Arithmetical Examples for School Use."

BURNLEY ADVERTISER.

"These books are the production of a practical educator. The author knows the want of the times, and has met it in a way which must commend itself to the gratitude and attention of all. The whole series abounds with arithmetical examples as important as they are useful. Already these books have found their way into a large number of private schools, while in British and National schools they are becoming universally used. We strongly advise those engaged in the education of the youth of our country to possess themselves of a series of these examples, which may be purchased at a very small cost; and if they will do so, we venture to predict that after they are carefully studied they will come to the conclusion to which we have come, and pronounce them to be far better adapted for arithmetical instruction in our day-schools than any work which has hitherto been published. We therefore cordially recommend these examples to the teachers of youth either in public or private schools."

WARRINGTON GUARDIAN.

"These are excellent school books. They are cheap and comprehensive. We think that most teachers will agree with us, that the one defect of the works that have for ever excluded Trotter and Walkinghame from all good schools is a paucity of examples. In Arithmetic it is eminently true that practice makes perfect. Mr. Davis here provides a cheap and easy means of supplying this defect; as the title sets forth, his is a book of examples. Those teachers who largely use the black-board will find this a great assistance. Besides the great number of examples-141,000 in all-is to be noticed the excellent proportion assigned to the various rules. Of that most useful rule, which amongst boys is said to drive one mad,' nearly 600 examples are furnished. The convenience of teachers is consulted likewise by the division of the work into two parts, of which the first includes the rules from numeration to proportion and fractions."

BRISTOL MERCURY.

"The author has produced a set of text books which are conspicuous for the thoroughness and practical character of the materials which they offer to pupil and teacher."

ATHENÆUM.

"Mr. Davis's 'Arithmetical Examples' must be a useful book."

CRITIC.

"Mr. Davis's manual of 'Arithmetical Examples' is well compiled, and cannot but be of great service to instructors and pupils."

ST. HELEN'S WEEKLY NEWS.

"In these text-books for home and school use, Mr. Davis has wisely omitted the long explanations of rules and principles with which nearly all school arithmetics are crowded, and which boys never read, and has filled these works with Examples,' which, for their copiousness and practical character, are, so far as our experience goes, quite unparalleled. For the use of those teachers who, in addition to their own black-board demonstrations, set their pupils memoriter lessons in the rules and definitions of arithmetic, the 'Memory Work' will be found to be a complete compendium of the tables, rules, and definitions, not only of arithmetic, but also of the essentials of mensuration."

PUPIL TEACHER.

"Even the most fastidious fault-finder would have some difficulty in raising an ordinary objection to this unpretending, but eminently useful manual, 'The Memory-Work of Arithmetic.""

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