Instead of learning a number of rules by rote, the pupil learns to refer everything to reason, and he is taught how to do so; and thus he will often be able to ascertain the meaning of an ambiguous passage, or supply the defect of an imperfect proof. It is only then, that any knowledge of the principles of Arithmetic can be acquired; and although it is not necessary to resort to these considerations to attain practical facility in performing arithmetical operations, we have little doubt that this will be gained quite as ...
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Instead of learning a number of rules by rote, the pupil learns to refer everything to reason, and he is taught how to do so; and thus he will often be able to ascertain the meaning of an ambiguous passage, or supply the defect of an imperfect proof. It is only then, that any knowledge of the principles of Arithmetic can be acquired; and although it is not necessary to resort to these considerations to attain practical facility in performing arithmetical operations, we have little doubt that this will be gained quite as rapidly under instruction, such as Professor De Morgan's Treatise affords, as it is from the old course of mere rules and examples, and it will certainly be gained better.' - Journal of Education , No. 1.
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