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

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Halaman xiii

As for the counterpart objection that number work is lacking in ethical substance

and stimulus , much may be

recognition of the part which Greek theory and practice assigned to the ideas of ...

As for the counterpart objection that number work is lacking in ethical substance

and stimulus , much may be

**learned**from a study of Greek civilization , from therecognition of the part which Greek theory and practice assigned to the ideas of ...

Halaman 9

Even that which he has once

intelligence tends to become more and more mechanical , and its application

more and more an unintelligent and unemotional procedure . It is never

brightened and ...

Even that which he has once

**learned**and applied with some interest andintelligence tends to become more and more mechanical , and its application

more and more an unintelligent and unemotional procedure . It is never

brightened and ...

Halaman 28

We see in an object just what we have

concept resulting from an elaborate process of analysis - synthesis are at last

given in the percept . An expert geometrician's percept of a triangle is quite a

different ...

We see in an object just what we have

**learned**to see in it . The contents of theconcept resulting from an elaborate process of analysis - synthesis are at last

given in the percept . An expert geometrician's percept of a triangle is quite a

different ...

Halaman 86

These combinations are facts to be

products , upon the accumulation of the information that 2 plus 2 equal 4 , 2x3 + 1

= 7 , 14 x 5 = 7 , etc .; as a result , the “ numbers ” remain something external to

the ...

These combinations are facts to be

**learned**. All the emphasis is laid upon theproducts , upon the accumulation of the information that 2 plus 2 equal 4 , 2x3 + 1

= 7 , 14 x 5 = 7 , etc .; as a result , the “ numbers ” remain something external to

the ...

Halaman 87

James Alexander McLellan, John Dewey. combining the parts so as to make up

the value of the whole . Wherever there is a break with the mind's own activity ,

there the facts or principles

...

James Alexander McLellan, John Dewey. combining the parts so as to make up

the value of the whole . Wherever there is a break with the mind's own activity ,

there the facts or principles

**learned**are external , and interest must be partial and...

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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