## The Psychology of Number and Its Applications to Methods of Teaching Arithmetic |

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Halaman 5

... and transportation of commodities ; just as a knowledge of anatomy ,

physiology , pathology has transformed medicine from empiricism to

science , so a knowledge of the structure and functions of the human being can

alone elevate ...

... and transportation 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 ...

Halaman 9

Even that which he has once learned and

intelligence tends to become more and more mechanical , and its application

more and more an unintelligent and unemotional procedure . It is never

brightened and ...

Even that which he has once learned and

**applied**with some interest andintelligence tends to become more and more mechanical , and its application

more and more an unintelligent and unemotional procedure . It is never

brightened and ...

Halaman 55

Hence the substitution for the pace of some measuring unit , say the chain , which

is itself defined ; the chain is

of times to both the length and the breadth of the field . Now the minor act is ...

Hence the substitution for the pace of some measuring unit , say the chain , which

is itself defined ; the chain is

**applied**, laid down and taken up , a certain numberof times to both the length and the breadth of the field . Now the minor act is ...

Halaman 72

A number is that which is

of a quantity of the same kind as the unit . ” ( See his Arithmetic for High Schools ,

etc. ) etc. “ Number , " as simply defining the how 72 THE PSYCHOLOGY OF ...

A number is that which is

**applied**to a unit to express the comparative magnitudeof a quantity of the same kind as the unit . ” ( See his Arithmetic for High Schools ,

etc. ) etc. “ Number , " as simply defining the how 72 THE PSYCHOLOGY OF ...

Halaman 82

The numerical value , hundred ,

quantity consisting of 10 ten - units ; the number , thousand , measures a quantity

which is composed of 10 hundred - units ; the number , tenth ,

...

The numerical value , hundred ,

**applied**to any measuring unit , denotes aquantity consisting of 10 ten - units ; the number , thousand , measures a quantity

which is composed of 10 hundred - units ; the number , tenth ,

**applied**to any unit...

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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