The book The Teaching of Arithmetic a Manual for Teachers was written by author Klapper Paul Here you can read free online of The Teaching of Arithmetic a Manual for Teachers book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is The Teaching of Arithmetic a Manual for Teachers a good or bad book?
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Gradation in division of fractions is not important. Some texts teach 8-^| first, J-r-S next, |-^| third, etc. , until the whole series of variations is completed. While nice grada- tions are necessary in other processes in fractions, they are not especially helpful in division, because the law, once learned, applies to all fractions. It is obvious that intro- ductory examples will exclude mixed numbers, but no other analysis of successive steps of difficulty is necessary. Complex and Compound ...Fractions. — Compound frac- tions, f of y, I of f of if, are useful in practical applications of arithmetic. The discussion on the application of cancella- tion makes this clear. Complex fractions, which have frac- tional forms in numerator or in denominator or in both, do not usually arise in common business practices. In teaching the solution of complex fractions a purely deductive and imitative procedure is followed; the pupil is taught to simplify the numerator and the denominator and then trans- late the complex fraction into division form.
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