The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1895 - 309 halaman |
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Halaman 2
... actual practice less a matter of mere experiment and more a matter of reason ; to make it contribute directly and economically to a rich and ripe , because rational , experi- ence . And this the educational psychologist attempts to do ...
... actual practice less a matter of mere experiment and more a matter of reason ; to make it contribute directly and economically to a rich and ripe , because rational , experi- ence . And this the educational psychologist attempts to do ...
Halaman 18
... actual evolution of psychical life , or because , at the other extreme , it gives a mass of crude , particular , undigested facts , with no indicated bearing or interpretations : 1. The psychology based upon a doctrine of " fac- ulties ...
... actual evolution of psychical life , or because , at the other extreme , it gives a mass of crude , particular , undigested facts , with no indicated bearing or interpretations : 1. The psychology based upon a doctrine of " fac- ulties ...
Halaman 20
... actual world , there is organic unity ; there is no division in the facts of geology , geography , zoology , and botany . These facts are not externally sorted out into different compartments . They are all bound up together ; the facts ...
... actual world , there is organic unity ; there is no division in the facts of geology , geography , zoology , and botany . These facts are not externally sorted out into different compartments . They are all bound up together ; the facts ...
Halaman 33
... actual sense difference , and thus further the power of mathematical abstrac- tion and relation . For discrimination must operate just enough for the recognition of the individuality or sin- gleness of each object or part , and no ...
... actual sense difference , and thus further the power of mathematical abstrac- tion and relation . For discrimination must operate just enough for the recognition of the individuality or sin- gleness of each object or part , and no ...
Halaman 58
... actual experience of the race and the individual , which brings the numerical operations ; the process of meas- uring , into existence . We have seen ( b ) what forms number is required to assume in order to meet the need , ' fulfil the ...
... actual experience of the race and the individual , which brings the numerical operations ; the process of meas- uring , into existence . We have seen ( b ) what forms number is required to assume in order to meet the need , ' fulfil the ...
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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...