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

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Halaman v

Later on he will arrive at

implies . Each and every number is an implied ratio , but it does not express the

ratio as simple number . The German language is fortunate in having terms that ...

Later on he will arrive at

**operations**which demand a view of all that numberimplies . Each and every number is an implied ratio , but it does not express the

ratio as simple number . The German language is fortunate in having terms that ...

Halaman xv

THE DEVELOPMENT OF NUMBER ; OR , THE ARITHMETICAL

VII . - NUMERICAL

NUMBER . VIII . - ON PRIMARY NUMBER TEACHING IX . - ON PRIMARY

NUMBER ...

THE DEVELOPMENT OF NUMBER ; OR , THE ARITHMETICAL

**OPERATIONS**VII . - NUMERICAL

**OPERATIONS**AS EXTERNAL AND AS INTRINSIC TONUMBER . VIII . - ON PRIMARY NUMBER TEACHING IX . - ON PRIMARY

NUMBER ...

Halaman 18

James Alexander McLellan, John Dewey. stronger than others , asserts itself out

of all proportion , and the person “ runs wild , ” becomes wilful , capricious ,

irresponsible in action , and unbalanced and irregular in his intellectual

James Alexander McLellan, John Dewey. stronger than others , asserts itself out

of all proportion , and the person “ runs wild , ” becomes wilful , capricious ,

irresponsible in action , and unbalanced and irregular in his intellectual

**operations**. Halaman 24

In the simple recognition , for example , of three things as three the following

intellectual

forming one connected whole or group — that is , there must be a recognition of

the three ...

In the simple recognition , for example , of three things as three the following

intellectual

**operations**are involved : The recognition of the three objects asforming one connected whole or group — that is , there must be a recognition of

the three ...

Halaman 30

It appears to be forgotten that he may and should perform many

reach definite results by implicitly using the ideas they involve long before these

ideas can be explicitly developed in consciousness . If facts are presented in their

...

It appears to be forgotten that he may and should perform many

**operations**andreach definite results by implicitly using the ideas they involve long before these

ideas can be explicitly developed in consciousness . If facts are presented in their

...

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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