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

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Halaman xi

... dull the power of quick perception , and cultivate habits of inaccurate and

disconnected

breed bad results , it hardly follows that education can be made symmetrical by

omitting ...

... dull the power of quick perception , and cultivate habits of inaccurate and

disconnected

**attention**, what occasion for surprise ? Because wrong methodsbreed bad results , it hardly follows that education can be made symmetrical by

omitting ...

Halaman 3

... discriminate the elements of a consciousness never the same for two

successive moments , to give unity of meaning to these abstract mental

phenomena , demands such concentration of

of mental power ...

... discriminate the elements of a consciousness never the same for two

successive moments , to give unity of meaning to these abstract mental

phenomena , demands such concentration of

**attention**as must secure the growthof mental power ...

Halaman 24

More than this , sense facts may be even attended to without giving the idea of

number . To put , say , five objects before an older child , to call his mind away

from all other things and get his

him ...

More than this , sense facts may be even attended to without giving the idea of

number . To put , say , five objects before an older child , to call his mind away

from all other things and get his

**attention**fixed upon these objects , is not to givehim ...

Halaman 25

on paper , the candy may so absorb

themselves in consciousness at all . This is undoubtedly one reason why the

mathematical attainments of savages are so meagre ; they are so given up to one

...

on paper , the candy may so absorb

**attention**that the two dots do not presentthemselves in consciousness at all . This is undoubtedly one reason why the

mathematical attainments of savages are so meagre ; they are so given up to one

...

Halaman 26

... although a different chair from every other , is , nevertheless , in some

particular identical with every other — it is a chair . He is able to neglect all that

sensuous qualitative difference which previonsly so claimed his

prevent his ...

... although a different chair from every other , is , nevertheless , in some

particular identical with every other — it is a chair . He is able to neglect all that

sensuous qualitative difference which previonsly so claimed his

**attention**as toprevent his ...

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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