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

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abstrac abstract activity addition and subtraction apples applied arithmetic cent centimetre child complete conception conscious constructive counting decimal decimetre defined denominator denotes derived unit digits divided divisor dollar educational equal exact example exercises factor facts feet figures five foot four frac fractions Frank Vincent fundamental given quantity gives greatest common measure groups hundred hundredths ical idea of number inches interest least common multiple magnitude means measured quantity measuring unit ment mental method metic metre mind minor units minuend multi multiplicand multiplication and division nature numbers expressed numerical ideas numerical operations numerical value objects perfect conception primary unit principle psychical psychological pupil pure number quan quotient rational recognition recurring decimal relation remainder result simply square root subtrahend symbols taken teacher teaching tens things tion tiple tity unit of measure unit of reference unity ured vague whole numbers yard

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Pagina 200 - From what has been shown as to the relations of the fundamental operations, it might even be inferred that if there is any difference in difficulty between the making-up method and the taking-away method, the difference is in favour of the making-up method, as involving less demand upon conscious attention. However this may be, it is certainly known from actual knowledge of school practice that pupils who have been instructed under psychological methods have had but little difficulty in comprehending...

Pagina 306 - By EDWARD MAUNDE THOMPSON, DCL, Principal Librarian of the British Museum. With numerous Illustrations. I2mo. Cloth, $2.00. *' Mr. Thompson, as principal librarian of the British Museum, has of course had very exceptional advantages for preparing his book. . . . Probably all teachers of the classics, as well as specialists in palaeography, will find something of value in this systematic treatise upon a rather unusual and difficult study.

Pagina 305 - In the present volume the author aims to show the evolutionary character of the public -school history of the State, and to point out the lines along which the development has run and the relation throughout to the social environment, and incidentally to illustrate the slow and irregular way by which the people under popular governments work out their own social...

Pagina 305 - There Is no subject tl taught in the elementary schools that taxes the teacher's resources as to methods «. and devices to a greater extent than arithmetic. There is no subject taught that Is more dangerous to the pupil In the way of deadening his mind and arresting Its development, If bad methods are used.

Pagina 307 - SHARE IN PRIMITIVE CULTURE. By OTIS TUFTON MASON, AM, Curator of the Department of Ethnology in the United States National Museum. With numerous Illustrations. I2mo. Cloth, $1.75. ** A most interesting re'snme' of the revelations which science has made concerning the habits of human beings in primitive times, and especially as to the place, the duties, and the customs of women.

Pagina 308 - The Life and Correspondence of WILLIAM BUCKLAND, DD, FRS, sometime Dean of Westminster, twice President of the Theological Society, and first President of the British Association. By his Daughter, Mrs. GORDON. With Portraits and Illustrations. 8vo. Buckram, $3.50. " Next to Charles Darwin, Dean Buckland is certainly the most interesting personality in the field of natural science that the present century has produced.