The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1895 - 309 halaman |
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Halaman 35
... root of the problem of the origin of number . from ta effort of passing objuk . another THE IDEA OF LIMIT . - If every human being could use at his pleasure all the land he wanted , it is probable that no one would ever measure land ...
... root of the problem of the origin of number . from ta effort of passing objuk . another THE IDEA OF LIMIT . - If every human being could use at his pleasure all the land he wanted , it is probable that no one would ever measure land ...
Halaman 99
... 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 ARITHMETICAL ...
... 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 ARITHMETICAL ...
Halaman 297
... root of 9 , and 5 the square root of 25. The square of 3 is written 3 ' , the square root of 3 is ex- pressed thus : 3. The pupil can write at once the table of squares : 1 ' = 1 22 = 4 42 32 = = 16 9 5 ' = 25 : 6 ' = 36 [ 102 = 100 ] 7 ...
... root of 9 , and 5 the square root of 25. The square of 3 is written 3 ' , the square root of 3 is ex- pressed thus : 3. The pupil can write at once the table of squares : 1 ' = 1 22 = 4 42 32 = = 16 9 5 ' = 25 : 6 ' = 36 [ 102 = 100 ] 7 ...
Halaman 298
... root ) , lying as it does between 400 and 900 , will have for square root a number lying between 20 and 30 - that is , the tens figure of the root will be 2 . Similarly , if a number is expressed by four digits its square root is ...
... root ) , lying as it does between 400 and 900 , will have for square root a number lying between 20 and 30 - that is , the tens figure of the root will be 2 . Similarly , if a number is expressed by four digits its square root is ...
Halaman 299
... root , so that we know one of the parts of the root , viz . , 10. The square of this part is 100 , and the rest of the given number , 69 , must be 2 times 10 , multiplied by the other part , together with the square EVOLUTION . 299.
... root , so that we know one of the parts of the root , viz . , 10. The square of this part is 100 , and the rest of the given number , 69 , must be 2 times 10 , multiplied by the other part , together with the square EVOLUTION . 299.
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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...