The Schoolmaster's Assistant, Being a Compendium of Arithmetic both Practical and Theoretical
Encyclopedia
The Schoolmaster's Assistant, Being a Compendium of Arithmetic both Practical and Theoretical was an early and popular English arithmetic
textbook, written by Thomas Dilworth
and published in America in the eighteenth century. The book reached from the introductory topics to the advanced in five sections:
Section I, Whole Numbers included the basis of the four operations and proceeded to topics on interest, rebates, partnership, weights and measures, the double rule of three, alligation
, mediation and permutations.
Section II dealt with common fractions.
Section III dealt with decimal fraction operations and included roots up to the fourth power, and work on annuities
and pensions.
Section IV was a collection of 104 problems to be solved. As was common in many older texts, the questions were sometimes stated in rhyme. Lessons for students were for memorization and recitation.
Section V was on Duodecimals, working with fractions in which the only denominators were twelfths. These types of problems continue in textbooks and appear in the 1870 edition of White's Complete Arithmetic in the appendix. The definition states: A Duodecimal is a denominate number in which twelve units of any denomination make a unit of the next higher denomination. Duodecimals are used by artificers in measuring surfaces and solids.
Arithmetic
Arithmetic or arithmetics is the oldest and most elementary branch of mathematics, used by almost everyone, for tasks ranging from simple day-to-day counting to advanced science and business calculations. It involves the study of quantity, especially as the result of combining numbers...
textbook, written by Thomas Dilworth
Thomas Dilworth
The Reverend Mr. Thomas Dilworth was an English cleric and author of a widely-used schoolbook, both in Great Britain and America, A New Guide to the English Tongue. Noah Webster as a boy studied Dilworth's book, and was inspired partly by it to create his own spelling book on completely different...
and published in America in the eighteenth century. The book reached from the introductory topics to the advanced in five sections:
Section I, Whole Numbers included the basis of the four operations and proceeded to topics on interest, rebates, partnership, weights and measures, the double rule of three, alligation
Alligation
Alligation is an old and practical method of solving arithmetic problems related to mixtures of ingredients. There are two types of alligation: alligation medial, used to find the quantity of a mixture given the quantities of its ingredients, and alligation alternate, used to find the amount of...
, mediation and permutations.
Section II dealt with common fractions.
Section III dealt with decimal fraction operations and included roots up to the fourth power, and work on annuities
Annuity (finance theory)
The term annuity is used in finance theory to refer to any terminating stream of fixed payments over a specified period of time. This usage is most commonly seen in discussions of finance, usually in connection with the valuation of the stream of payments, taking into account time value of money...
and pensions.
Section IV was a collection of 104 problems to be solved. As was common in many older texts, the questions were sometimes stated in rhyme. Lessons for students were for memorization and recitation.
Section V was on Duodecimals, working with fractions in which the only denominators were twelfths. These types of problems continue in textbooks and appear in the 1870 edition of White's Complete Arithmetic in the appendix. The definition states: A Duodecimal is a denominate number in which twelve units of any denomination make a unit of the next higher denomination. Duodecimals are used by artificers in measuring surfaces and solids.