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

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Halaman 35

There might be , of course - Crusoe - like a crude estimate of the quantity

required for a given purpose ; but there would be no definite numerical val ,

uation in acres , rods ,

food could ...

There might be , of course - Crusoe - like a crude estimate of the quantity

required for a given purpose ; but there would be no definite numerical val ,

uation in acres , rods ,

**yards**, feet . There would be no need for such accuracy . Iffood could ...

Halaman 46

We can directly compare the cost of three

the same quality ; but we can not ... But if we know that one

( is measured by ) eight cents , and one

We can directly compare the cost of three

**yards**of calico with that of nine**yards**ofthe same quality ; but we can not ... But if we know that one

**yard**of calico is worth( is measured by ) eight cents , and one

**yard**of silk worth one dollar and sixty ... Halaman 47

...

relation to a quantity of a different kind . Counting and Measuring . - It has been

said that number originates from measurement ; that it is a statement of the

numerical ...

...

**yard**, the pound , the dollar , etc. 3. Measuring with a unit having a definiterelation to a quantity of a different kind . Counting and Measuring . - It has been

said that number originates from measurement ; that it is a statement of the

numerical ...

Halaman 50

We “ lay off ” distance into so many

We reckon up the pieces of money in the purse and know how much their value

is . A man has a pile of lumber ; how much " has he ? If the boards are of uniform

...

We “ lay off ” distance into so many

**yards**, and then we know it to be so much .We reckon up the pieces of money in the purse and know how much their value

is . A man has a pile of lumber ; how much " has he ? If the boards are of uniform

...

Halaman 54

... and a mere guess that each of the lengths is twenty

to make a closer estimate of the content of the field , we may mark off the length

and breadth by pacing , and find that it is a hundred and seventy paces in length

...

... and a mere guess that each of the lengths is twenty

**yards**. In order , therefore ,to make a closer estimate of the content of the field , we may mark off the length

and breadth by pacing , and find that it is a hundred and seventy paces in length

...

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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