The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1895 - 309 halaman |
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Halaman xi
... attention , what occasion for surprise ? Because wrong methods breed bad results , it hardly follows that education can be made symmetrical by omitting a subject which stands par excellence for clear and clean cut methods of thought ...
... attention , what occasion for surprise ? Because wrong methods breed bad results , it hardly follows that education can be made symmetrical by omitting a subject which stands par excellence for clear and clean cut methods of thought ...
Halaman 3
... attention as must secure the growth of mental power - power to master , and not be mastered by , the facts and ideas of whatever kind which may be crowding in upon the mind ; to resolve a complex subject into its component parts ...
... attention as must secure the growth of mental power - power to master , and not be mastered by , the facts and ideas of whatever kind which may be crowding in upon the mind ; to resolve a complex subject into its component parts ...
Halaman 24
... attention fixed upon . these objects , is not to give him the idea of the number five . Number is not a property of the objects which can be realized through the mere use of the senses , or impressed upon the mind by so - called ...
... attention fixed upon . these objects , is not to give him the idea of the number five . Number is not a property of the objects which can be realized through the mere use of the senses , or impressed upon the mind by so - called ...
Halaman 25
... attention . Or , again , the child may be conscious of the dots as well as of the candy , and yet not be able to recognise that these various objects are connected or make one whole . The qualitative unlikeness of the objects may be so ...
... attention . Or , again , the child may be conscious of the dots as well as of the candy , and yet not be able to recognise that these various objects are connected or make one whole . The qualitative unlikeness of the objects may be so ...
Halaman 26
... attention as to prevent his conscious or objective recognition of the common qual- ity or use through which the things may be classed as one whole . Now , ability to neglect certain features of things in view of another considered more ...
... attention as to prevent his conscious or objective recognition of the common qual- ity or use through which the things may be classed as one whole . Now , ability to neglect certain features of things in view of another considered more ...
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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...