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Excerpt from Key to Leonard's Arithmetic: For Teachers Only
The scholar should not be required to proceed in each sum in the same manner that is pursued here; it is sufficient if he ob tains the true answer by' a correct method, though it be more difficult than the one in the Key. Should his course be quite long and tedious, it may then, indeed, be well to require him to seek a more ready method, and perhaps lead him to one by ap propriete questions. But in no case should he be told fully and precisely in what manner he should perform an example. Ques tions that will induce him to think, and lead him, by his own rea soning to short and simple solutions, are proper, but positive di rections should rarely be given.
Speaking of the impolicy of telling a scholar every step to be taken, reminds me of the propriety of saying a few words con cerning the great number of rules and precepts to be found in many arithmetics. In these books every subject contains at least one rule, although the examples may involve the same principles as those under a general rule, by which they may be solved.
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