The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1895 - 309 halaman |
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Halaman 76
... multiplicand ever be a pure number ? If the foregoing account of the nature of number is correct , the multiplicand , however written , must always be un- derstood to express measured quantity ; it is always concrete . As already said ...
... multiplicand ever be a pure number ? If the foregoing account of the nature of number is correct , the multiplicand , however written , must always be un- derstood to express measured quantity ; it is always concrete . As already said ...
Halaman 113
... multiplicand always represents a number of ( primary ) units of quantity ; the multiplier is always pure num- ber , representing simply the times of repetition of the derived unit . But from the nature of the measuring process the two ...
... multiplicand always represents a number of ( primary ) units of quantity ; the multiplier is always pure num- ber , representing simply the times of repetition of the derived unit . But from the nature of the measuring process the two ...
Halaman 114
... multiplicand ; ( 3 ) the number of times this derived unit is to be repeated -the multiplier ; and ( 4 ) the product - the vague mag- nitude now definitely measured . The operation of multiplication , therefore , already implies ...
... multiplicand ; ( 3 ) the number of times this derived unit is to be repeated -the multiplier ; and ( 4 ) the product - the vague mag- nitude now definitely measured . The operation of multiplication , therefore , already implies ...
Halaman 115
... multiplicand is always a certain exact ( equal ) portion of some whole . Hence multipli- cation always implies ratio ; the whole magnitude bears to the unit of measure a ratio which is expressed in the number of times ( represented by ...
... multiplicand is always a certain exact ( equal ) portion of some whole . Hence multipli- cation always implies ratio ; the whole magnitude bears to the unit of measure a ratio which is expressed in the number of times ( represented by ...
Halaman 117
... multiplicand must always be seen to be a unit in itself , no matter how large it is as expressed in minor units . It signifies the known value of the unit with which one sets out to measure ; it is the meas- uring rod , as it were ...
... multiplicand must always be seen to be a unit in itself , no matter how large it is as expressed in minor units . It signifies the known value of the unit with which one sets out to measure ; it is the meas- uring rod , as it were ...
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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...