The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1895 - 309 halaman |
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Halaman 20
... begin with knowing the facts of the adult mind . Equally in mental evolution as in physical , nature makes no leaps . " The child is father of the man " is the poetic statement of a psychologic fact . 3. Every Subject has its own ...
... begin with knowing the facts of the adult mind . Equally in mental evolution as in physical , nature makes no leaps . " The child is father of the man " is the poetic statement of a psychologic fact . 3. Every Subject has its own ...
Halaman 44
... - sary the process of measuring from which number has its genesis . We have now to note in more detail the nature of this latter process . Stages of Measurement . - We begin with the vague 44 THE PSYCHOLOGY OF NUMBER .
... - sary the process of measuring from which number has its genesis . We have now to note in more detail the nature of this latter process . Stages of Measurement . - We begin with the vague 44 THE PSYCHOLOGY OF NUMBER .
Halaman 45
... begin by saying that his camp is so many suns away . Here his unit is the distance he can travel between sunrise and sunset . He measures by a unit of action , but that unit is itself unmeasured - just how much it is he can not say or ...
... begin by saying that his camp is so many suns away . Here his unit is the distance he can travel between sunrise and sunset . He measures by a unit of action , but that unit is itself unmeasured - just how much it is he can not say or ...
Halaman 84
... begin with a whole of quantity , which on one side is analysed into its units of measurement , while on the other these units are syn- thesised to constitute the value of the original magni- tude ; we have parts which refer to a whole ...
... begin with a whole of quantity , which on one side is analysed into its units of measurement , while on the other these units are syn- thesised to constitute the value of the original magni- tude ; we have parts which refer to a whole ...
Halaman 85
... begin- ning from which we proceed to two things , then to three things , and so on . Two , three , etc. , being fixed , it becomes necessary to master each before going on to the next . Unless four is exhaustively mastered , five can ...
... begin- ning from which we proceed to two things , then to three things , and so on . Two , three , etc. , being fixed , it becomes necessary to master each before going on to the next . Unless four is exhaustively mastered , five can ...
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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...