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

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Halaman xiii

Society has its form also , and it is found in the processes of fixing standards of

value and methods of valuation , the processes of weighing and

whether distance , size , or quality ; of measuring and fixing bounds , whether in

space ...

Society has its form also , and it is found in the processes of fixing standards of

value and methods of valuation , the processes of weighing and

**counting**,whether distance , size , or quality ; of measuring and fixing bounds , whether in

space ...

Halaman 23

Why do we ask with respect to any magnitude , “ how many , " " how much , " and

set about

do we not take our sense experience just as it comes to us , making no attempt ...

Why do we ask with respect to any magnitude , “ how many , " " how much , " and

set about

**counting**and measuring till.we can say " so many , ” “ so much ” ? Whydo we not take our sense experience just as it comes to us , making no attempt ...

Halaman 25

Here , again , rational

concluded that from the mere presentation of three like objects the idea of three

will be secured . There must be enough qualitative unlikeness — if only of

position in ...

Here , again , rational

**counting**is out of the question . Nor , finally , is it to beconcluded that from the mere presentation of three like objects the idea of three

will be secured . There must be enough qualitative unlikeness — if only of

position in ...

Halaman 26

The delight which a child four or five years old often manifests in the apparently

mechanical operation of

even in simply saying over the names of number symbols is really delight in his ...

The delight which a child four or five years old often manifests in the apparently

mechanical operation of

**counting**chairs , books , slate - marks , playthings , oreven in simply saying over the names of number symbols is really delight in his ...

Halaman 31

Relation or Rational

certain ordered relation to one another , as well as marking them off or

discriminating them . If , when the child discriminates one thing from another , he

loses sight of ...

Relation or Rational

**Counting**. This involves the putting of units ( parts ) in acertain ordered relation to one another , as well as marking them off or

discriminating them . If , when the child discriminates one thing from another , he

loses sight of ...

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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