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

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Halaman ix

, ” although as a matter of fact the three figures of the regular syllogism are

neither of them employed in mathematical reasoning W. T. HARRIS .

WASHINGTON ...

**Mental**arithmetic becomes in their psychology " the discipline for the pure reason, ” although as a matter of fact the three figures of the regular syllogism are

neither of them employed in mathematical reasoning W. T. HARRIS .

WASHINGTON ...

Halaman xi

If methods which cut across the natural grain of the

straightforward workings of the

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

If methods which cut across the natural grain of the

**mental**structure and resist thestraightforward workings of the

**mental**machinery , waste time , create apathy anddisgust , dull the power of quick perception , and cultivate habits of inaccurate ...

Halaman xii

When taught as this sort of form , arithmetic affords in its own place an unrivalled

means of

particular school of educational thought which is most active in urging the merely

...

When taught as this sort of form , arithmetic affords in its own place an unrivalled

means of

**mental**discipline . It is , perhaps , more than a coincidence that theparticular school of educational thought which is most active in urging the merely

...

Halaman 2

There may be a surfeit of things with the usual consequence of an impaired

memorized is by no means a measure of 2 THE PSYCHOLOGY OF NUMBER .

There may be a surfeit of things with the usual consequence of an impaired

**mental**digestion . It is pretty generally conceded that the number of factsmemorized is by no means a measure of 2 THE PSYCHOLOGY OF NUMBER .

Halaman 3

... of a consciousness never the same for two successive moments , to give unity

of meaning to these abstract

of attention as must secure the growth of

not ...

... of a consciousness never the same for two successive moments , to give unity

of meaning to these abstract

**mental**phenomena , demands such concentrationof attention as must secure the growth of

**mental**power - power to master , andnot ...

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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