The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1895 - 309 halaman |
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Halaman 45
... square feet . The de- velopment from the crude guess to the exact statement depends upon the selection and recognition of a unit , the repetition of which in space or time makes up and thus measures the whole . The savage may begin by ...
... square feet . The de- velopment from the crude guess to the exact statement depends upon the selection and recognition of a unit , the repetition of which in space or time makes up and thus measures the whole . The savage may begin by ...
Halaman 56
... square rods ; it includes also the money value of the crop and the cost of its production . The synthesis compares the result of this complex measure- ment with the results of other possible distributions of energy . Analytically the ...
... square rods ; it includes also the money value of the crop and the cost of its production . The synthesis compares the result of this complex measure- ment with the results of other possible distributions of energy . Analytically the ...
Halaman 99
... square root of two , multiplied by the square root of three , is equal to the square root of six ; or find by loga- rithms the sum of a given number of equal addends . Simultaneous Method not Psychological . — It seems clear , THE ...
... square root of two , multiplied by the square root of three , is equal to the square root of six ; or find by loga- rithms the sum of a given number of equal addends . Simultaneous Method not Psychological . — It seems clear , THE ...
Halaman 106
... square has already been mastered , the figure will be recognised as one 4+ one 2. Or , if one of the diagonals is changed thus , it will be recognised as two triangles — that is , as one 3+ one 3. Or , of course , it may be taken all to ...
... square has already been mastered , the figure will be recognised as one 4+ one 2. Or , if one of the diagonals is changed thus , it will be recognised as two triangles — that is , as one 3+ one 3. Or , of course , it may be taken all to ...
Halaman 108
... square and the original whole , namely , X , or 2 units . 3. The Conscious Process of Subtraction slightly more Complex . - The conscious recognition of subtrac- tion , however , is a slightly more complex process- makes more demand ...
... square and the original whole , namely , X , or 2 units . 3. The Conscious Process of Subtraction slightly more Complex . - The conscious recognition of subtrac- tion , however , is a slightly more complex process- makes more demand ...
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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...