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

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Halaman 35

This reason we must now discover , for it lies at the

origin of number . THE IDEA OF LIMIT . — If every human being could use at his

pleasure all the land he wanted , it is probable that no one would ever measure

land ...

This reason we must now discover , for it lies at the

**root**of the problem of theorigin of number . THE IDEA OF LIMIT . — If every human being could use at his

pleasure all the land he wanted , it is probable that no one would ever measure

land ...

Halaman 99

If anyone still maintains that addition ( of equal addends ) and multiplication are

identical processes , let him prove by mere summing ( or counting ) that the

square

If anyone still maintains that addition ( of equal addends ) and multiplication are

identical processes , let him prove by mere summing ( or counting ) that the

square

**root**of two , multiplied by the square**root**of three , is equal to the square**root**of ... Halaman 296

... ( 188 ) } ' of $ 100 . It will be easy to obtain a general formula , and also to find

the value of a deferred annuity running for a definite number of years . CHAPTER

XVI . EVOLUTION . Square

... ( 188 ) } ' of $ 100 . It will be easy to obtain a general formula , and also to find

the value of a deferred annuity running for a definite number of years . CHAPTER

XVI . EVOLUTION . Square

**Root**. — The 296 THE PSYCHOLOGY OF NUMBER . Halaman 297

Square

squares whose sides measure 3 and 5 are 9 and 25. We say that 9 is the square

of 3 , and that 25 is the square of 5 ; 3 is the square

Square

**Root**. — The product of 3 and 3 is 9 ; of 5 and 5 is 25 . The measures ofsquares whose sides measure 3 and 5 are 9 and 25. We say that 9 is the square

of 3 , and that 25 is the square of 5 ; 3 is the square

**root**of 9 , and 5 the square ... Halaman 298

Also the square

expressed by two digits , and the tens digit is known from the first digit on the left ;

for example , 625 ( if it has an exact square

and ...

Also the square

**root**of a number * expressed by three digits is a numberexpressed by two digits , and the tens digit is known from the first digit on the left ;

for example , 625 ( if it has an exact square

**root**) , lying as it does between 400and ...

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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