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

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Halaman 20

has to adapt himself , can be of much practical avail ; and the interpreter of the

facts of the child mind must

Equally in mental evolution as in physical , nature makes no leaps . “ The child is

father ...

has to adapt himself , can be of much practical avail ; and the interpreter of the

facts of the child mind must

**begin**with knowing the facts of the adult mind .Equally in mental evolution as in physical , nature makes no leaps . “ The child is

father ...

Halaman 44

... makes necessary the process of measuring from which number has its genesis

. We have now to note in more detail the nature of this latter process . Stages of

Measurement . - We

... makes necessary the process of measuring from which number has its genesis

. We have now to note in more detail the nature of this latter process . Stages of

Measurement . - We

**begin**with the vague 44 THE PSYCHOLOGY OF NUMBER . Halaman 45

We

accurate determination from the indefinite how much to the definite so much . It is

the difference between saying that iron is heavy and that so much iron at a given

...

We

**begin**with the vague estimate of bulk , size , weight , etc. , and go on to itsaccurate determination from the indefinite how much to the definite so much . It is

the difference between saying that iron is heavy and that so much iron at a given

...

Halaman 84

... ( psychologically ) separate processes . According to true psychology , we

measurement , while on the other these units are synthesised to constitute the

value ...

... ( psychologically ) separate processes . According to true psychology , we

**begin**with a whole of quantity , which on one side is analysed into its units ofmeasurement , while on the other these units are synthesised to constitute the

value ...

Halaman 95

We

suggests the measuring of a continuous quantity in a similar way — that is , by

counting it off in so many paces , hand - breadths , etc. Now , in the use of the

inexact ...

We

**begin**with measuring a collection of objects by counting them off , and thissuggests the measuring of a continuous quantity in a similar way — that is , by

counting it off in so many paces , hand - breadths , etc. Now , in the use of the

inexact ...

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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