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Excerpt from Arithmetic: Parts V and Vi., Intermediate Lessons
No book or series of books can possibly illustrate every use to which numbers can be put, but if the principles under lying their use are properly taught, the child can reason for himself the proper application of his knowledge to any given problem. Furthermore, as he must know how to solve a problem in the quickest and simplest manner, he mu st know not merely the various processes, but their construction as well; he must be able to analyze to such an extent that when a problem is presented to him, he can distinguish the facts which are relevant from those which are irrelevant, he can separate the known from the unknown, he can arrange the known in logical order for his processes, and he can use the shortest processes possible. An attempt to give the pupil this ability is the motive for this work.
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