The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1895 - 309 halaman |
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Halaman viii
... quantity , the unity of the discrete and the continuous , the unity of the ... measured and being made the measure of others . This , too , is involved in ... quantity were to be built up on this idea . It is shown that such abstract unit ...
... quantity , the unity of the discrete and the continuous , the unity of the ... measured and being made the measure of others . This , too , is involved in ... quantity were to be built up on this idea . It is shown that such abstract unit ...
Halaman 36
... quantity . If ... measured . It is because we have to put forth effort , because we have to take trouble to get things , that they are limited for us , and that it becomes worth while to determine their limits , to find out the quantity ...
... quantity . If ... measured . It is because we have to put forth effort , because we have to take trouble to get things , that they are limited for us , and that it becomes worth while to determine their limits , to find out the quantity ...
Halaman 38
... measurement of quantity . The child and the savage have very imperfect ideas of number , because they are taken up with the things of the present moment . There is no imperative de- mand for the economical adjustment of means to end ...
... measurement of quantity . The child and the savage have very imperfect ideas of number , because they are taken up with the things of the present moment . There is no imperative de- mand for the economical adjustment of means to end ...
Halaman 40
... quantity , but tends to make it precise , nu- merical . The importance ... number judgments , may be illustrated as fol- lows : A chick just out of the shell will peck accurately at a grain of corn or at a fly . We might say that it measured ...
... quantity , but tends to make it precise , nu- merical . The importance ... number judgments , may be illustrated as fol- lows : A chick just out of the shell will peck accurately at a grain of corn or at a fly . We might say that it measured ...
Halaman 45
... quantity to precise nu- merical value . Quantities in Different Scales of Measurement.— But the process of measurement may be carried a step further . For accurate measurement the unit itself must be measured with a unit of the same kind of ...
... quantity to precise nu- merical value . Quantities in Different Scales of Measurement.— But the process of measurement may be carried a step further . For accurate measurement the unit itself must be measured with a unit of the same kind 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...