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

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Halaman 26

The delight which a child

mechanical operation of counting chairs , books , slate - marks , playthings , or

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 apparentlymechanical operation of counting chairs , books , slate - marks , playthings , or

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

Halaman 32

In the simple one , two , three ,

around him , there is presented the form of the highest operations of

discrimination and identification . EDUCATIONAL SUMMARY . — The idea of

number is not ...

In the simple one , two , three ,

**four**of the child , as he counts the familiar objectsaround him , there is presented the form of the highest operations of

discrimination and identification . EDUCATIONAL SUMMARY . — The idea of

number is not ...

Halaman 33

... or

parts in the whole or a whole of parts , and not a conscious recognition of each

part by itself , and then a conscious uniting it to other parts separately recognised

.

... or

**four**, or five , must be as nearly as possible an intuition ; a perception of theparts in the whole or a whole of parts , and not a conscious recognition of each

part by itself , and then a conscious uniting it to other parts separately recognised

.

Halaman 45

We can not , for example , directly compare weights and volumes , but we may

compare them indirectly . If we discover , for instance , that

iron weigh as much as twenty - nine cubic inches of THE ORIGIN OF NUMBER .

45.

We can not , for example , directly compare weights and volumes , but we may

compare them indirectly . If we discover , for instance , that

**four**cubic inches ofiron weigh as much as twenty - nine cubic inches of THE ORIGIN OF NUMBER .

45.

Halaman 46

weigh as much as twenty - nine cubic inches of water ,

as much as seventy - seven cubic inches of water , and two cubic inches of honey

as much as three cubic inches of water , we have then the means of comparing ...

weigh as much as twenty - nine cubic inches of water ,

**four**cubic inches of goldas much as seventy - seven cubic inches of water , and two cubic inches of honey

as much as three cubic inches of water , we have then the means of comparing ...

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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