The Psychology of Number and Its Applications to Methods of Teaching Arithmetic |
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Halaman vii
In the differential calculus ratio is most adequately expressed as the fundamental
and true form of all quantity , number included . The differential of x and the
differential of y are ratios . The authors of this book have presented in an
admirable ...
In the differential calculus ratio is most adequately expressed as the fundamental
and true form of all quantity , number included . The differential of x and the
differential of y are ratios . The authors of this book have presented in an
admirable ...
Halaman 69
The simplest expression of quantity in numerical terms involves two components :
1. ... Or , as it may be otherwise expressed , the unity of quantity to be measured
and the unit of quantity which measures it are homogeneous quantities .
The simplest expression of quantity in numerical terms involves two components :
1. ... Or , as it may be otherwise expressed , the unity of quantity to be measured
and the unit of quantity which measures it are homogeneous quantities .
Halaman 75
perceived in the following , where the dots symbolize both times and units of
quantity : a 6 C Measuring by the 3 - feet unit we count it off four times —that is ,
the quantity is expressed by 3 feet taken four times . This is represented by the
four ...
perceived in the following , where the dots symbolize both times and units of
quantity : a 6 C Measuring by the 3 - feet unit we count it off four times —that is ,
the quantity is expressed by 3 feet taken four times . This is represented by the
four ...
Halaman 77
We measure , for example , a quantity of 20 pounds weight by a 4 - pound weight
, and the result is expressed by 4 ... the symbol which denotes measured quantity
in the one expression denotes pure number in the other , and vice versa .
We measure , for example , a quantity of 20 pounds weight by a 4 - pound weight
, and the result is expressed by 4 ... the symbol which denotes measured quantity
in the one expression denotes pure number in the other , and vice versa .
Halaman 111
( 3 ) The addition , through intuitions , of unequal ( measured ) quantities , which
are thus conceived and expressed as a defined unity of so many ones , is an aid
to the development of the times idea . ( 4 ) Continuance of such operations ...
( 3 ) The addition , through intuitions , of unequal ( measured ) quantities , which
are thus conceived and expressed as a defined unity of so many ones , is an aid
to the development of the times idea . ( 4 ) Continuance of such operations ...
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Istilah dan frasa umum
abstract activity actual addition already amount applied arithmetic attention become begin carry cent child clear common complete conception conscious constructive cost counting decimal defined definite denotes digits direct divided division divisor dollar educational equal exact example exercises expressed factor facts feet figures five foot four fractions fundamental given gives groups hundred idea inches interest involved kind learned least less magnitude means meas measured quantity measuring unit mental method mind minor multiplicand multiplication nature necessary objects once operations original practice present primary principle problem psychological pupil rational reason recognition reference relation remainder repeated represents result root seen sense separate simply square stage subtraction taken teacher teaching tens things third tion true unit of measure unity ured vague whole yard