The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1895 - 309 halaman |
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Halaman viii
... decimal system of numeration , and in understand- ing the different orders of units , each of which both in- cludes constituent units and is included as a constituent of a higher unit . The hint is obtained from this that the first ...
... decimal system of numeration , and in understand- ing the different orders of units , each of which both in- cludes constituent units and is included as a constituent of a higher unit . The hint is obtained from this that the first ...
Halaman xv
... . MEASURES AND MULTIPLES 119 144 • 166 190 • 207 227 XIII . - FRACTIONS 241 XIV . - DECIMALS XV . PERCENTAGE AND ITS APPLICATIONS XVI . - EVOLUTION 261 • 279 · 297 · PAGE V xi 1 23 THE PSYCHOLOGY OF NUMBER , CHAPTER I. WHAT PSYCHOLOGY CAN ...
... . MEASURES AND MULTIPLES 119 144 • 166 190 • 207 227 XIII . - FRACTIONS 241 XIV . - DECIMALS XV . PERCENTAGE AND ITS APPLICATIONS XVI . - EVOLUTION 261 • 279 · 297 · PAGE V xi 1 23 THE PSYCHOLOGY OF NUMBER , CHAPTER I. WHAT PSYCHOLOGY CAN ...
Halaman 53
... decimal system and the ten fingers of the hands ? What activity does the dollar stand for ? If the dollar did not represent certain pos- sible activities which it places at our control , would it be a measure of value ? Why may a child ...
... decimal system and the ten fingers of the hands ? What activity does the dollar stand for ? If the dollar did not represent certain pos- sible activities which it places at our control , would it be a measure of value ? Why may a child ...
Halaman 192
... decimal system - the use of the zero , the absolutely unchanging values of the digits as numbers , the values of the units of measure denoted by any digit according to its place in the series , the single figure denoting so many one ...
... decimal system - the use of the zero , the absolutely unchanging values of the digits as numbers , the values of the units of measure denoted by any digit according to its place in the series , the single figure denoting so many one ...
Halaman 193
... But , instead of such a separating line , it is more convenient to use a dot , called the decimal point , to mark the place of the figure expressing the single unit - i . e . , the unit of NOTATION , ADDITION , SUBTRACTION . 193.
... But , instead of such a separating line , it is more convenient to use a dot , called the decimal point , to mark the place of the figure expressing the single unit - i . e . , the unit of NOTATION , ADDITION , SUBTRACTION . 193.
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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...