The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1895 - 309 halaman |
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Halaman 102
... remainder ; here , as in addition , a further mental operation is necessary before the factors are discovered that of counting the times of repetition ; i . e . , of finding the ratio of the sum ( dividend ) to the repeated subtrahend ...
... remainder ; here , as in addition , a further mental operation is necessary before the factors are discovered that of counting the times of repetition ; i . e . , of finding the ratio of the sum ( dividend ) to the repeated subtrahend ...
Halaman 157
... ( remainder ) -a process which helps to a more definite idea of the given whole , and especially makes explicit the vague idea of the " remain- der " with which we began . In multiplication there is given a quantity ( multiplicand ) ...
... ( remainder ) -a process which helps to a more definite idea of the given whole , and especially makes explicit the vague idea of the " remain- der " with which we began . In multiplication there is given a quantity ( multiplicand ) ...
Halaman 202
... remainder ( 2 ) , than to add 5 to the borrowed 10 and take 8 from the sum 15. But , in any case , these analytic acts are to lead to the clear comprehension of the process , and especially to its automatic use . There should be , of ...
... remainder ( 2 ) , than to add 5 to the borrowed 10 and take 8 from the sum 15. But , in any case , these analytic acts are to lead to the clear comprehension of the process , and especially to its automatic use . There should be , of ...
Halaman 204
... remainder . We carry the 1 ( hundred ) from the 17 ( ten ) to the 6 hundred in the subtrahend , making it 7 ( hundred ) ; this 7 ( hundred ) is made up to 14 ( hun- dred ) by adding 7 ( hundred ) , which is set down in the third place ...
... remainder . We carry the 1 ( hundred ) from the 17 ( ten ) to the 6 hundred in the subtrahend , making it 7 ( hundred ) ; this 7 ( hundred ) is made up to 14 ( hun- dred ) by adding 7 ( hundred ) , which is set down in the third place ...
Halaman 215
... remainder thus obtained should equal the remainder from casting the nines out of the product of multiplier and multi- plicand . For example , test the following by casting out the nines : 987761 x 56789 56,093,959,429 . = 7 Out of ...
... remainder thus obtained should equal the remainder from casting the nines out of the product of multiplier and multi- plicand . For example , test the following by casting out the nines : 987761 x 56789 56,093,959,429 . = 7 Out of ...
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Istilah dan frasa umum
abstrac abstract activity addition and subtraction apples applied arithmetic cent centimetre child complete conception conscious constructive counting cube cube root decimal decimetre defined denominator denotes derived unit digits divided divisor dollar educational equal example exercises factor facts feet figures five foot four frac fractions FRANK VINCENT fundamental given quantity gives greatest common measure groups hundred hundredths ical idea of number inches interest least common multiple magnitude means measured quantity measuring unit ment mental method metic metre mind minor units minuend multi multiplicand multiplication and division nature numbers expressed numerical ideas numerical operations numerical value objects perfect conception primary unit principle psychical psychological pupil quan quotient rational recognition recurring decimal relation remainder result simply square root subtrahend symbols taken teacher teaching tens things tion tiple tity unit of measure unit of reference unity ured vague whole numbers yard
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Halaman 243 - ... can be expressed as integers, namely, 4 cents, 4 feet, 4 pounds, and so on, with kindred ideas and operations. 3. The Primary Practical Principle in Fractions. — It is clear that this complete expression for the number process is the fundamental principle employed in the treatment of fractions : if both terms of a fraction be multiplied or divided by the same number, the numerical value of the fraction will not be changed. This principle is usually " demonstrated " ; it is, however, involved...
Halaman 206 - The process of solving 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 are equal. 5. Like powers or like roots of equals are equal. NOTE. Axiom 4 is not true if the divisor equals zero.
Halaman 5 - ... of commodities; just as a knowledge of anatomy, physiology, pathology has transformed medicine from empiricism to applied science, so a knowledge of the structure and functions of the human being can alone elevate the school from the position of a mere workshop, a more or less cumbrous, uncertain, and even baneful institution, to that of a vital, certain, and effective instrument in the greatest of all constructions — the building of a free and powerful character. Without the assured methods...