Part I, price 1s., Small Octavo,

A MANUAL

OF

EXPLANATORY ARITHMETIC, INCLUDING NUMEROUS CAREFULLY CONSTRUCTED EXAMPLES, FOR THE USE OF ELEMENTARY AND OTHER SCHOOLS, AND PRIVATE PUPILS.

"The standard of educational works is now so high, and masterly handbooks have so completely extinguished schoolmasterly ones, that there is usually but one test which is necessary to apply to a book intended for the student deprived of oral teaching. Is it philosophical? Does the book do a teacher's work? Does it require anything of the student but what it has previously prepared him to accomplish? Does it take for granted that he is acquainted with the precise meaning of technicalities, or does it insist on his understanding the exact value of a term which he is to use in a new process? If it be proved that these questions are satisfactorily answered, it is gratifying to us to recommend the book. We have never found them more satisfactorily answered than upon examination of Mr. Hughes's little work."Morning Chronicle.

"A well-planned and digested elementary work on Arithmetic, calculated to convey to youthful minds a proper knowledge of the principles and practice of that science."-Morning Herald.

"Mr. Hughes has written a clever little book with more incentive to thought than most works of the kind, very clear, and in a convenient size. His Exercises' show much judgment."-Atlas.

"The author states, that the plan of the work was 'adopted from a persuasion that arithmetic, when taught by rules, fails to awaken and bring into play the reasoning powers of children.' He starts well with notation, and clears up the mystery of unit and cypher in a manner that will be welcome to children, and refreshing to most teachers. The book proceeds as promisingly as it opens, and conducts the pupil through Proportion. A second part is to follow, which we trust will be as creditable to the zeal and ingenuity of the writer as the part before us."-Educational Times.

This useful and excellent little work supplies the clearest explanation of every step in arithmetic as the learner proceeds, together with well-arranged practical examples, framed upon the usual occurrences of life, of the workings of the general rules."- Morning Post.

"There is nothing more difficult than to explain arithmetic by words. Even when the rule is learned, and young persons can cipher well, it rarely happens that they know the reasons why the process produces the result. These Mr. Hughes has endeavoured to teach, and more successfully than any former attempt we have ever seen. He further improves upon the old methods of teaching, by giving practical examples, and such as are likely to occur in life, and thus to make the sums interesting in themselves. We have been very much pleased with this new school-book."— Critic.

"There are two good features in this little book: the sums set are on questions with which children are familiar, and the principles of the different formulæ are explained in the simplest way, Mr. Hughes professes to discard

rules and so he does literally, but the pupil teaches himself the spirit of the rule."-Spectator.

"Mr. Hughes tells us, that his intention in composing this treatise, is to furnish children with elements of arithmetic; the questions being framed upon the ordinary wants and requirements of daily life,' as better calculated to exercise the ingenuity and intelligence of children, than 'calculations based solely upon mercantile transactions.' The idea is a good one. Clearness and simplicity in exemplification, are of signal importance where very young people are in question; and the examples here given are as simple as could be wished. Mr. Hughes also intermingles examples deduced from dealings that may take place in the general course of trade. There is a juste milieu in this matter of adapting books of instruction for the young, and we are glad that Mr. Hughes does not lose sight of it."-Weekly Chronicle.

"The book on Arithmetic is constructed on a simple method, suited for beginners, and is manifestly the production of one who appreciates the difficulties which the youthful mind experiences at the outset of the study, and is anxious as far as possible to diminish them. His plan is to teach by examples, without, in the first instance, laying down abstract rules. The rationale of each process is explained in a simple manner, and the examples are not only well contrived for illustration, but for awakening and interesting the mind. They relate to familiar subjects, many of them are ingenious and striking. We have not often met with such a sensible school-book."The Scottish Guardian.

"The Explanatory Arithmetic,' besides exhibiting the methods employed in conveying to young persons a knowledge of the first principles of arithmetic, contains numerous carefully constructed examples for the use of elementary and other schools."-Bristol Mirror.

"Mr. Hughes, the able teacher, of Greenwich Hospital, gives us a Manual of Explanatory Arithmetic, which is as simple and clear as elementary instruction could desire."-Literary Gazette.

"An elaborate help for elementary instruction in arithmetic."-John Bull. "This is indeed Arithmetic made easy.' The explanations are clear and simple; the examples copious, well arranged, and framed upon objects and occurrences in which children are likely to feel an interest."-Eastern Counties Herald.

Price 1s. 6d.

ARITHMETICAL EXERCISES,
with Answers;

Being a Companion to the "Explanatory Arithmetic."-Designed for the Use of Teachers. Small Octavo.

London: Printed by WILLIAM CLOWES and SONS, Stamford Street.