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le_ as he proceeds. When students speak of their progress in study, their first qualifying word should be _thorough_, after which, if they please, they may add _rapid_. The following circumstances, that have occurred in classes of both ladies and gentlemen who have presented themselves for examination as candidates for teaching, illustrate the nature and extent of the evil. I have more than once received, in answer to the question "What is language?" the following reply: "Language is an _unlimited sense_." I have met with some experienced teachers, holding two or three town certificates, who did not know one half of the marks and pauses used in writing. They could, indeed, generally recite the answers in the spelling-book with some degree of accuracy; but when the marks have been pointed out, and their names and use have been asked, teachers _in service_ have sometimes mistaken the note of _interrogation_ for a _parenthesis_, and made other as gross errors. In answer to the question "What is arithmetic?" I have several times received the following reply: "It is the _art of science_," etc. Sometimes this constitutes the entire reply. In one instance _four fifths_ of the class united in this answer. The terms sum, remainder, product, and quotient are frequently applied indiscriminately in the four ground rules of arithmetic. There are, hence, three chances for them to be used erroneously where there is one chance for them to be correctly applied. The following expressions are common: _Add_ up and set down the _remainder_; _subtract_ and set down the _quotient_; _multiply_ and write down the _sum_; _divide_ and write down the _product_, etc.: never so much as thinking that sum belongs to addition; remainder, to subtraction; product, to multiplication; and quotient, to division. In attending the examination of such teachers, any person of discernment will soon become satisfied that with them "language is an unlimited sense;" that "arithmetic is the art _of_ science;" and that grammar, too, is "the art of science;" for the same answer has been given to the question, "What is grammar?" I introduce these things, not for the purpose of ridiculing any portion of our teachers, but to exemplify the extent of the evil under consideration. The majority of teachers manifest a tolerable familiarity with the branches usually taught in our common schools. They have not, however, generally studied more than one author on the same subj
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