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" However this may be, it is certainly known from actual knowledge of school practice that pupils who have been instructed under psychological methods have had but little difficulty in comprehending the making-up method, and have quickly acquired skill... "
The Psychology of Number and Its Applications to Methods of Teaching Arithmetic - Halaman 206
oleh James Alexander McLellan, John Dewey - 1895 - 309 halaman
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Elements of algebra

Philip Kelland - 1860
...shall be given in Art. 91. 90. The following are the AXIOMS on which all our processes are based : 1. If equals be added to equals, the wholes are equal....subtracted from equals, the remainders are equal. 3. If equals be multiplied or divided by equals, the products or quotients are equal 4. Like powers of...
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A Text Book of Algebra

William Steadman Aldis - 1887 - 588 halaman
...these algebraical relations may be added the four following axioms or general principles of operation. (1) If equals be added to equals the wholes are equal....subtracted from equals, the remainders are equal. (3) If equals be multiplied by equals the products are equal. (4) If equals be divided by equals the quotients...
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The Psychology of Number and Its Applications to Methods of Teaching Arithmetic

James A. MACLELLAN (and DEWEY (John)), John Dewey - 1895 - 309 halaman
...14, 16 and three, 19 ; this makes up the 19 (thousand) of the minuend, and the whole " making - up " number, or remainder, is $3784, the amount of money...abstract recognition of them will come in good time. CHAPTER XL MULTIPLICATION AND DIVISION. Multiplication. — From the preceding discussion (see especially...
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The Psychology of Number and Its Applications to Methods of Teaching Arithmetic

James Alexander McLellan, John Dewey - 1895 - 309 halaman
...inferred that if there is any difference in difficulty between the making-Tip method and the taking-away method, the difference is in favour of the making-up...abstract recognition of them will come in good time. CHAPTER XL MULTIPLICATION AND DIVISION. ^Multiplication. — From the preceding discussion (see especially...
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The Psychology of Number and Its Applications to Methods of Teaching Arithmetic

James Alexander McLellan, John Dewey - 1905 - 309 halaman
...between the making-up method and the taking-away method, the difference is in favour of the making-Tip method, as involving less demand upon conscious attention....recognition of them will come in good time. CHAPTEE XI. MULTIPLICATION AND DIVISION. Multiplication. — From the preceding discussion (see especially...
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The Psychology of Number and Its Applications to Methods of Teaching Arithmetic

James Alexander McLellan, John Dewey - 1895 - 309 halaman
...volving less demand upon conscious attention. However this may be, it is certainly known from ilbtual knowledge of school practice that pupils who have...abstract recognition of them will come in good time. CHAPTER XI. MULTIPLICATION AND DIVISION. Multiplication. — From the preceding discussion (see especially...
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The Psychology of Number and Its Applications to Methods of Teaching Arithmetic

James Alexander McLellan, John Dewey - 1898 - 309 halaman
...between the making-up method and the taking-away method, the difference is in favour of the making-Tip method, as involving less demand upon conscious attention....abstract recognition of them will come in good time. CHAPTER XI. MULTIPLICATION AND DIVISION. Multiplication. — From the preceding discussion (see especially...
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Elementary Algebra

Arthur Schultze - 1905 - 449 halaman
...equations depends upon the following principles, called axioms: 1. If equals be added to equals, the sums are equal. 2. If equals be subtracted from equals, the remainders are equal. 3. If equals be multiplied by equals, the products are equal 4. If equals be divided by equals, the quotients...
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Elementary Algebra

Arthur Schultze - 1905 - 373 halaman
...equations depends upon the following principles, called axioms : 1. If equals be added to equals, the sums are equal. 2. If equals be subtracted from equals, the remainders are eqifal. 3. If equals be multiplied by equals, the products are equal. 4. If equals be divided by equals,...
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Advanced Algebra

Arthur Schultze - 1906 - 562 halaman
...equations depends upon the following principles, called axioms : 1. If equals be added to equals, the sums are equal. 2. If equals be subtracted from equals, the remainders are equal. 3. If equals be multiplied by equals, the products are equal. 4. If equals be divided by equals, the quotients...
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