The Outlook for Arithmetic in America
The Outlook for Arithmetic in America
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Grube followed in 1842 with a method which insisted that all the processes be taught simultaneously, as if they were equally important or equally difficult ; but the plan had too many absurdities of this kind to attract any large following. Later there arose the counting method of Tank and Knilling, which asserts that the world first needed numbers for counting things, that the ratio idea is a very late development, that counting is rhythmical and therefore pleasant, and that the child, learn- ...ing somewhat as the world has learned, should base his arithmetic on number series. It argues that the series 2, 4, 6, 8, etc. , first learned by counting objects and then memorized, is merely the multiplication table of two and the addition table of its multiples. This being true, it 7 The Probable Nature of our Future Arithmetics proposes so to organize counting exercises as to make them the basis for all elementary operations with numbers. There also arose in Germany, about forty years ago, the spiral method, merely a modifica- tion of the concentric-circle scheme, an idea which has influenced all modern courses of study, but which has gone to extremes that have been ridiculous.
What to read after The Outlook for Arithmetic in America?
You can find similar books in the "Read Also" column, or choose other free books by Smith, David Eugene, 1860-1944 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Grube followed in 1842 with a method which insisted that all the processes be taught simultaneously, as if they were equally important or equally difficult ; but the plan had too many absurdities of this kind to attract any large following. Later there arose the counting method of Tank and Knilling, which asserts that the world first needed numbers for counting things, that the ratio idea is a very late development, that counting is rhythmical and therefore pleasant, and that the child, learn- ...ing somewhat as the world has learned, should base his arithmetic on number series. It argues that the series 2, 4, 6, 8, etc. , first learned by counting objects and then memorized, is merely the multiplication table of two and the addition table of its multiples. This being true, it 7 The Probable Nature of our Future Arithmetics proposes so to organize counting exercises as to make them the basis for all elementary operations with numbers. There also arose in Germany, about forty years ago, the spiral method, merely a modifica- tion of the concentric-circle scheme, an idea which has influenced all modern courses of study, but which has gone to extremes that have been ridiculous.
What to read after The Outlook for Arithmetic in America?
You can find similar books in the "Read Also" column, or choose other free books by Smith, David Eugene, 1860-1944 to read onlineMoreLess
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