The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1912 - 309 halaman |
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Halaman vi
... Fractions form a more adequate ex- pression of this ratio , and require a higher conscious- ness of the nature of quantity than simple numbers do . Hence the difficulty of teaching this subject in the ele- * Hegel , Logik , Bd . I , 1st ...
... Fractions form a more adequate ex- pression of this ratio , and require a higher conscious- ness of the nature of quantity than simple numbers do . Hence the difficulty of teaching this subject in the ele- * Hegel , Logik , Bd . I , 1st ...
Halaman vii
... fraction to a qualitative unit and by this to change the thought to that of a simple number . Thus halves and quarters and cents and dimes are thought as individual things , and the fractional idea suppressed . In the differential ...
... fraction to a qualitative unit and by this to change the thought to that of a simple number . Thus halves and quarters and cents and dimes are thought as individual things , and the fractional idea suppressed . In the differential ...
Halaman xv
... IX . - ON PRIMARY NUMBER TEACHING X. - NOTATION , ADDITION , SUBTRACTION XI . - MULTIPLICATION AND DIVISION XII . - MEASURES AND MULTIPLES XIII . - FRACTIONS XIV . - DECIMALS • THE PSYCHOLOGY OF NUMBER . CHAPTER I. WHAT PSYCHOLOGY CAN.
... IX . - ON PRIMARY NUMBER TEACHING X. - NOTATION , ADDITION , SUBTRACTION XI . - MULTIPLICATION AND DIVISION XII . - MEASURES AND MULTIPLES XIII . - FRACTIONS XIV . - DECIMALS • THE PSYCHOLOGY OF NUMBER . CHAPTER I. WHAT PSYCHOLOGY CAN.
Halaman 49
... fractions . Half an apple , half a pie , is a practical , not a mathematical expression at all . To make it mathematical we should have to know just how great the whole is- how many ounces or cubic inches . value in the units is made ...
... fractions . Half an apple , half a pie , is a practical , not a mathematical expression at all . To make it mathematical we should have to know just how great the whole is- how many ounces or cubic inches . value in the units is made ...
Halaman 66
... fraction , nor increase a number by division , etc. , because multiplication means increase , etc. — result from conceiving the operations as physical aggregation or separation instead of syn- thesis and analysis of values - mental ...
... fraction , nor increase a number by division , etc. , because multiplication means increase , etc. — result from conceiving the operations as physical aggregation or separation instead of syn- thesis and analysis of values - mental ...
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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 FRIEDRICH FROEBEL fundamental given quantity gives greatest common measure groups 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 practice primary unit principle psychical psychological pupil pure number 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 vague yard