The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1895 - 309 halaman |
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Halaman viii
... reference to their power to train the mind of the pupil into this consciousness of the ratio idea . The steps should be short and the ascent gradual ; but it should be continuous , so that the pupil constantly gains in his ability to ...
... reference to their power to train the mind of the pupil into this consciousness of the ratio idea . The steps should be short and the ascent gradual ; but it should be continuous , so that the pupil constantly gains in his ability to ...
Halaman 14
... reference to the organization of the whole institution , have been presented as if somehow the individual teacher might derive from them specific information and direction as to how to teach particular subjects to particular pupils ; on ...
... reference to the organization of the whole institution , have been presented as if somehow the individual teacher might derive from them specific information and direction as to how to teach particular subjects to particular pupils ; on ...
Halaman 41
... reference to some end ; what is its worth , its effectiveness , compared with other possible means . These two conceptions— ( a ) the origin of quantitative ideas in the process of valuation ( measuring ) and ( b ) the dependence of ...
... reference to some end ; what is its worth , its effectiveness , compared with other possible means . These two conceptions— ( a ) the origin of quantitative ideas in the process of valuation ( measuring ) and ( b ) the dependence of ...
Halaman 42
... now prepared to see the reason for the neglect of the sense qualities ( the abstraction ) and for the reference to the whole ( the generalization ) included in all numbering . When we are regarding a thing 42 THE PSYCHOLOGY OF NUMBER .
... now prepared to see the reason for the neglect of the sense qualities ( the abstraction ) and for the reference to the whole ( the generalization ) included in all numbering . When we are regarding a thing 42 THE PSYCHOLOGY OF NUMBER .
Halaman 44
... reference to the end to be accomplished that constitutes generalization . We regard the various objects selected as having a relation , as making up one whole or class , because , no matter what their differences in themselves , they ...
... reference to the end to be accomplished that constitutes generalization . We regard the various objects selected as having a relation , as making up one whole or class , because , no matter what their differences in themselves , they ...
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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...