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PRINCIPLES OF NUMBERS
ARE EXPLAINED AND ILLUSTRATED BY A GREAT VARIETY
OF PRACTICAL QUESTIONS.
PRINCIPAL OF THE MATHEMATICAL DEPARTMENT OF THE
BOWDOIN SCHOOL, BOSTON,
Edua T 118.44.749
Entered according to Act of Congress, in the year 1847, by
JAMES ROBINSON, to the Clerk's Office of the District Court of the District of Massachusetts.
IMPROVEMENTS in the arts and sciences are the distinguishing characteristics of the present age; yet it may be questioned whether the improvements in school books, and in the methods of teaching, have been as great as in the mechanic arts.
A hope is cherished that the present work may be found to possess some advantages over similar works already before the public.
The name of Warren Colburn will be remembered with pleasure by thousands who have studied his “ First Lessons in Intellectual Arithmetic;" and few, if any, improvements have since been made by writers upon that subject. Notwithstanding the great merit of “Colburn's First Lessons,” and the advantages of intellectual training, the experience of years in teaching arithmetic has convinced the author that mental and written arithmetic should be connected in teaching, and that questions requiring operations upon larger numbers, should immediately succeed those which can be performed mentally.
Pupils should first learn to analyze arithmetical questions in which small numbers only are used, and to give a reason for each part of the operation in solving them. When they can perform, mentally and orally, such questions with facility, they will be able to analyze and solve questions which contain larger numbers requiring the use of the slate and pencil, and to give a reason for each successive step in the operation.
In arranging this work, a definition is first given, then a question illustrating the definition and principle is proposed and solved, after which several questions for mental and oral exercises are added. Then follows a question, in which the numbers are so large that it cannot be performed mentally;