What Children Study And Why a Discussion of Educational Values in the Elementar

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What Children Study And Why a Discussion of Educational Values in the Elementar
Charles Benajah Gilbert
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Even teachers sometimes are unable to see the reason for inverting the divisor and multiplying the frac- tions. Yet it is really as simple as addition to classes that have had the preliminary training outlined above. At least grammar school classes that have reached the formal study of fractions can easily image the process. For example : 3_i_2 3 y 3 9 jl This by rule. The process is really as follows : 4 3 3 4 4X3'3X4' 3x4 both being the common denominator and showing by its structure how comm...on denominators are made.
Dividing the numerator of the dividend by that of the divisor, we have 3 X3 _9_-i 2X4~8~ ^' In other words, the rule merely indicates a short method of dividing, the common denominator being " understood, " that is, eliminated from the actual work, though constructively present.
Teaching to make Generalizations. — A process com- prehended is vastly more interesting to the pupil than one performed by rule merely, and what is more im- portant, it trains him to think for himself.


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