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

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Halaman vii

In the differential calculus ratio is most adequately expressed as the

and true form of all quantity , number included . The differential of x and the

differential of y are ratios . The authors of this book have presented in an

admirable ...

In the differential calculus ratio is most adequately expressed as the

**fundamental**and true form of all quantity , number included . The differential of x and the

differential of y are ratios . The authors of this book have presented in an

admirable ...

Halaman viii

Again , since ratio is the

theories which seek to lay a basis for mathematics by at first producing a clear

and vivid idea of unity — as though the idea of quantity were to be built up on this

...

Again , since ratio is the

**fundamental**idea , one sees how fallacious are thosetheories which seek to lay a basis for mathematics by at first producing a clear

and vivid idea of unity — as though the idea of quantity were to be built up on this

...

Halaman 19

It is not shown in what way the various so - called faculties are the expressions of

one and the same

psychology is not merely negatively useless for the educator , it is positively ...

It is not shown in what way the various so - called faculties are the expressions of

one and the same

**fundamental**process . But , in the second place , this “ faculty ”psychology is not merely negatively useless for the educator , it is positively ...

Halaman 20

... under different heads . Unless the

underlie this classification are discovered and appealed to , the subject which

deals with it can not be presented along the lines of least resistance and in the

most ...

... under different heads . Unless the

**fundamental**interest and purpose whichunderlie this classification are discovered and appealed to , the subject which

deals with it can not be presented along the lines of least resistance and in the

most ...

Halaman 30

... each other they are often practically combined . They both arise from one

occupies as the transitional step in the change of a vague whole into a coherent

whole .

... each other they are often practically combined . They both arise from one

**fundamental**error — the failure to grasp clearly the place which discriminationoccupies as the transitional step in the change of a vague whole into a coherent

whole .

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### Istilah dan frasa umum

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