The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1895 - 309 halaman |
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Halaman vii
... idea that it is necessary to elimi- nate the ratio idea by changing one of the terms of the fraction to a qualitative unit and by this to change the thought to that of a simple number . Thus halves and quarters and cents and dimes are ...
... idea that it is necessary to elimi- nate the ratio idea by changing one of the terms of the fraction to a qualitative unit and by this to change the thought to that of a simple number . Thus halves and quarters and cents and dimes are ...
Halaman viii
... idea , one sees how fallacious are those theories which seek to lay a basis for mathematics by at first producing a clear and vivid idea of unity - as though the idea of quantity were to be built up on this idea . It is shown that such ...
... idea , one sees how fallacious are those theories which seek to lay a basis for mathematics by at first producing a clear and vivid idea of unity - as though the idea of quantity were to be built up on this idea . It is shown that such ...
Halaman ix
James Alexander McLellan, John Dewey. a qualitative idea , and does not become quantitative until it is conceived as composite and made up of con- stituent units homogeneous with itself . · The true psychological theory of number is the ...
James Alexander McLellan, John Dewey. a qualitative idea , and does not become quantitative until it is conceived as composite and made up of con- stituent units homogeneous with itself . · The true psychological theory of number is the ...
Halaman xiii
... ideas of rhythm , of balance , of measure , in moral and æsthetic culture . That the Greeks also kept their arithmetical ... idea of balance , of compensation , is more than formal . Number represents , as is shown in the following pages ...
... ideas of rhythm , of balance , of measure , in moral and æsthetic culture . That the Greeks also kept their arithmetical ... idea of balance , of compensation , is more than formal . Number represents , as is shown in the following pages ...
Halaman 24
... idea of their number ; there may be clear and adequate percepts of the things quite unaccom- panied by definite numerical concepts . No such con- cepts , no clearly defined numerical ideas , can enter into consciousness till the mind ...
... idea of their number ; there may be clear and adequate percepts of the things quite unaccom- panied by definite numerical concepts . No such con- cepts , no clearly defined numerical ideas , can enter into consciousness till the mind ...
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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 decimal decimetre defined denominator denotes derived unit digits divided divisor dollar educational equal exact 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 pure number 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 206 - 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 in the application of it. Fundamental Principles of Addition and Subtraction. — When a quantity is expressed by means of several terms connected by the signs + and — , the expression is called an aggregate; and when the several operations are performed...
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