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

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Halaman vi

This twofoldness of number becomes explicit in multiplication and division ,

wherein one number is the unit and the other expresses the multiplicity — the

times the unit is

and ...

This twofoldness of number becomes explicit in multiplication and division ,

wherein one number is the unit and the other expresses the multiplicity — the

times the unit is

**taken**. Fractions form a more adequate expression of this ratio ,and ...

Halaman 22

What is the interest , the demand , which gives rise to the psychical activity by

which objects are

develop ? In so far as we can answer these questions we have a sure guide to ...

What is the interest , the demand , which gives rise to the psychical activity by

which objects are

**taken**as numbered or measured ? And how does this activitydevelop ? In so far as we can answer these questions we have a sure guide to ...

Halaman 30

There is no attention , or too little attention , paid to the essential process of

discrimination when it is

formed from the hearing and memorizing of numerical tables , or even from the ...

There is no attention , or too little attention , paid to the essential process of

discrimination when it is

**taken**for.granted that definite ideas of number will beformed from the hearing and memorizing of numerical tables , or even from the ...

Halaman 37

The end to be realized is remote and complex , and in using adequate means ,

distance in space , remoteness in time , quantity of some sort has to be

account , and this means accurate measurement . In working out a certain ...

The end to be realized is remote and complex , and in using adequate means ,

distance in space , remoteness in time , quantity of some sort has to be

**taken**intoaccount , and this means accurate measurement . In working out a certain ...

Halaman 38

The child and the savage have very imperfect ideas of number , because they are

for the economical adjustment of means to end ; living only in and for the ...

The child and the savage have very imperfect ideas of number , because they are

**taken**up with the things of the present moment . There is no imperative demandfor the economical adjustment of means to end ; living only in and for the ...

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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