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

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Halaman iii

... make man - what

MOMMSEN . NEW YORK D. APPLETON AND COMPANY COPYRIGHT , 1895 ,

By D. APPLETON AND COMPANY . 1912 INTERNATIONAL EDUCATION

SERIES.

... make man - what

**Nature**has not made him - all - powerful and eternal . ” —MOMMSEN . NEW YORK D. APPLETON AND COMPANY COPYRIGHT , 1895 ,

By D. APPLETON AND COMPANY . 1912 INTERNATIONAL EDUCATION

SERIES.

Halaman vi

Fractions form a more adequate expression of this ratio , and require a higher

consciousness of the

difficulty of teaching this subject in the eleHegel , Logik , Bd . I , 1st Th . , S. 225 ...

Fractions form a more adequate expression of this ratio , and require a higher

consciousness of the

**nature**of quantity than simple numbers do . Hence thedifficulty of teaching this subject in the eleHegel , Logik , Bd . I , 1st Th . , S. 225 ...

Halaman ix

As if it were not enough that the science of number is indispensable for the

conquest of

mistake of supposing that arithmetic deals with spiritual being as much as with

matter ...

As if it were not enough that the science of number is indispensable for the

conquest of

**Nature**in time and space , these qualitative - unit teachers make themistake of supposing that arithmetic deals with spiritual being as much as with

matter ...

Halaman xi

So conIt is perhaps

the time given to arithmetic in the traditional course of the schools should result in

attacks upon that study . While not all educational experts would agree that it is ...

So conIt is perhaps

**natural**that a growing impatience with the meagre results ofthe time given to arithmetic in the traditional course of the schools should result in

attacks upon that study . While not all educational experts would agree that it is ...

Halaman xii

of thought , which forms the introduction to all effective interpretation of

and is a powerful instrument in the regulation of social intercourse . It is

customary now to divide studies into “ form ” studies and “ content " studies , and

to ...

of thought , which forms the introduction to all effective interpretation of

**Nature**,and is a powerful instrument in the regulation of social intercourse . It is

customary now to divide studies into “ form ” studies and “ content " studies , and

to ...

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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