I HAVE read Danoll's schoolmaston's Assistast. I HAVE given some attention to the work above men. tioned, and concur with Mr. Professor Meigs in his opin ion of its merit. -- N(JAH WE}}STER. New-Haven, December 12, 1799. -- RhodE is LAND college, Nov. 30, 1799. * spresident of that Institution.} RECOMMENT ATIONS. \ PLAIN FIPLD AcADEMY, APRIL 20, 1802. I MAKEuse of DABoli.’s SchoolMasTER’s Assist ANT, in teaching common Arithmetic, and think it the best calculated for that purpose of any which has fallen within my observation. JOHN ADAMS, Rector of - Plainfield Acade. [Now Principal of Phillips' Academy, Andover, j Bileznica Academy, (Mass.) Dec. 10, 1807. Having examined Mr. DA holl's System of Arith. metic, I am pleased with the judgment displayed in his method, o the perspicuity of his explanations, and thinking it as easy and comprehensive a system as an with which I am arguainted, can cheerfully o it to the patronage of Instructors. SAMUEL WHITING, Teacher of JMathematics, I BEcAME acquainted with DAboll's SchoolMAs, *ER's Assistant, in the year 1802, and on examining it attentively, gave it my decided preference to any other system extant, and immediately adopted it for the pupils under my charge ; and since that time have used it exclusively in elementary tuition. to the great advantage and improvement of the student, as well as the ease and assistance of the Preceptor. I also deem it equally well calculated for the benefit of individuals in private instruction; and think it my duty to give the labour and ingenuity of the author the tribute of my hearty approval and recommendation. ROGER KENNEDY, New York, March 20, 1811. - THE design of this work is to furnish the schools of the United States with a methodical and comprehensive system of Practical orithmetic, in which I have endeavoured, through the whole, to have the rules as concise and familiar, as the nature of the subject will permit. During the long period which I have devoted to the instruction of youth in Arithmetic, I have made use of various systems which have just claims to scientific merit; but the authors appear to have been deficient in an important point—the practical teacher's experience.— They have been too sparing of examples, especially in the first rudiments; in consequence of which, the young pupil is hurried through the ground rules too fast for his capacity. This objection I have endeavoured to obviate in the following treatise. In teaching àe first rules, I have found it best to encourage the attention of scholars by a variety of easy and familiar questions, which might serve to strengthen their minds as their studies grow more arduous. The rules are arranged in such order as to introduce the most simple and necessary parts, previous to those which are more abstruse and difficult. To enter into a detail of the whole work would be tedious; I shall therefore notice only a few particulars, and refer the reader to the contents. Although the Federal Coin is purely decimal, it is so nearly afied to whole numbers, and so absolutely necessary to be understood by every one, that I have introduced it immediately after addition of whole numbers, and also shown how to find the value of goods therein, immediately after simple multiplication; which may be of great o to many, who perhaps will not have an opportunity of learning fractions. In the arrangement of fractions, I have taken an entire | new method, the advantages and facility of which will sufficiently apologize for its not being according to other # wn PREF Ack. systems. As decimal fractions may be learned much easier than vulgar, and are more simple, useful, and necessary; and soonest wanted in more useful branches of Arithmetic, they ought to be learned first, and Vulgar Fractions omitted, until further progress in the science shall make them necessary. It may be well to obtain a general idea of them, and to *to two or three easy proulen, 3 therein: after which, the scholar may learn decimals, which will be necessary in the reduction of currencies, computing interst, and many other branches. Besides, to obtain a thorough knowledge of Vulgar Fractions, is generally a task too hard for young scholars who have made no further progress in Arithmetic than Reduction, and often discourages them. I have therefore placed *. problems in Fractions, according to the method above hinted; and after going through the principal mercantile rules, have treated upon Vulgar Fractions at large, the scholar being now capable of going through them with advantage and ease. In Simple Interest, in Federal Money, I have given several new and concise rules; some of which are particularly wesigned for the use of the compting-house. The opendir contains a variety of rules for casting Interest, Rebate, &c. together with a number of the most easy and useful problems, for measuring superficies and solids, examples of forms commonly used in transacting business, useful tables, &c. which are designed as aids in the common business of life. Perfect accuracy, in a work of this nature, can hardly be expected; errors of the press, or perhaps of the author, may have escaped correction. If any such are point; ed out, it will be considered as a mark of friendship and favor, by The public's most humble and obedient Servant, NATHAN DABOLL. Page. Annuities or Pensions, at Compound Interesó 905 Arithmetical progression - - - - 194 Characters, Explanation of - . . . 14 Conjoined Proportion - - . 149 Coins of the United States, Weights of e. 232 Division of Whole Numbers . . . . 34 Equation of Payments • e o 'o' 138 Evolution, or Extraction of Roots . . . 179 Fractions, Vulgar and Decimal - e 74 155 Interest, Simple . . . . . . 12 Inverse Proportion e e o ' 167 Multiplication. Simple . . . . . . 28 |