The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1895 - 309 halaman |
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Halaman ix
... fact the three figures of the regular syllogism are neither of them employed in mathematical reasoning . W. T. HARRIS . WASHINGTON , D. C. , June 25 , 1895 . PREFACE . It is perhaps natural that a growing impatience EDITOR'S PREFACE . ix.
... fact the three figures of the regular syllogism are neither of them employed in mathematical reasoning . W. T. HARRIS . WASHINGTON , D. C. , June 25 , 1895 . PREFACE . It is perhaps natural that a growing impatience EDITOR'S PREFACE . ix.
Halaman 1
... fact or theory as bearing on hu- man activity is , in the long run , determined by practi- cal application — that is , by using it for accomplishing some definite purpose . If it works well - if it removes friction , frees activity ...
... fact or theory as bearing on hu- man activity is , in the long run , determined by practi- cal application — that is , by using it for accomplishing some definite purpose . If it works well - if it removes friction , frees activity ...
Halaman 2
... facts and so little of their organization . In our eager advocacy of " facts and things " we are apparently forgetting that these are comparatively worthless , either as stored knowledge or for developing power , till they have been ...
... facts and so little of their organization . In our eager advocacy of " facts and things " we are apparently forgetting that these are comparatively worthless , either as stored knowledge or for developing power , till they have been ...
Halaman 3
... facts unduly may be checked by the study of psy- chology . Here , in a comparatively abstract science , there must be reflection - abstraction and generalization . In nature study we gather the facts , and we may reflect upon the facts ...
... facts unduly may be checked by the study of psy- chology . Here , in a comparatively abstract science , there must be reflection - abstraction and generalization . In nature study we gather the facts , and we may reflect upon the facts ...
Halaman 7
... fact that this instinct is so strong , and all but universal , and that the happiness of the individ- ual and of the race so largely depends upon its develop- ment and intelligent guidance , gives greater force to the demand that its ...
... fact that this instinct is so strong , and all but universal , and that the happiness of the individ- ual and of the race so largely depends upon its develop- ment and intelligent guidance , gives greater force to the demand that its ...
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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
Bagian yang populer
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...