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SYSTEM OF ARITHMETIC
DESIGNED TO ABRIDGE THE LABOUR OF THE LEARNER, AND TO
EXPAND HIS INTELLECTUAL FACULTIES.
BY BENJAMIN NAYLOR,
NAYLOR'S SYSTEM OF TEACHING GEOGRAPHY."
No. 12 MARSHALL STREET.
Entered, according to act of Congress, in the year 1849, by
In the Office of the Clerk of the District Court of the United States,
in and for the Eastern District of Pennsylvania.
Stereotyped by George Charles,
The design of a Systematic Education is, generally, to develope and invigorate all the intellectual faculties, and especially to instruct the pupil in those particular departments of science which the duties and business transactions of his life are supposed to require. Methods of teaching particular branches of school learning, which employ the more general and higher powers of the understanding, answer at once all the ends of discipline and instruction. Besides, nothing so much promotes facility and thoroughness of attainment as those exercises which call into action the reasoning powers, in connection with the efforts of memory. Problems solved, and tasks performed by rules, which hide their reasons from the student, however they may happen to answer mere business ends, have the effect of converting him into an automaton; and, as he loses all the charm of those general laws and relations which a thinking system unfolds at every step of his progress, the study must, in the same proportion, lose both its highest advantages and attractiveness to him. A knowledge of arithmetic is constantly in demand for practical purposes; it enters largely into the speculative sciences, and is indispensable as a preliminary to the study of all the other branches of mathematics. Considerable improvement has been made of late years in the manner of teaching it; but it is still embarrassed with methods and formulas, merely mechanical, and extremely laborious, besides wanting in the important qualities which attract the learner and discipline his understanding.