The Psychology of Number and Its Applications to Methods of Teaching ArithmeticD. Appleton, 1895 - 309 pagina's |
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abstrac abstract activity addition and subtraction apples apply arithmetic cent centimetre child complete conception conscious constructive counting cube cube root decimetre defined denominator denotes derived unit digits divided divisor dollar educational equal 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 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 unity ured vague vulgar fractions whole numbers yard
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Pagina 298 - 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 i - The Art of School Management." $1.50. 7. THE SENSES AND THE WILL. (Part I of " THE MIND OF THE CHILD.") By W. PREYER, Professor of Physiology in Jena. Translated by HW BROWN, Teacher in the State Normal School at Worcester, Mass. $1.50. 8. MEMORY: WHAT IT is AND HOW TO IMPROVE IT. By DAVID KAY, FRGS, author of " Education and Educators,
Pagina 222 - Dividing the dividend by any number divides the quotient by the same number.
Pagina 299 - OMAN'S 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 resume" 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 239 - ... can be expressed as integers, namely, 4 cents, 4 feet, 4 pounds, and so on, with kindred ideas and operations. 3. The Primary Practical Principle in Fractions. — It is clear that this complete expression for the number process is the fundamental principle employed in the treatment of fractions : if both terms of a fraction be multiplied or divided by the same number, the numerical value of the fraction will not be changed. This principle is usually " demonstrated " ; it is, however, involved...
Pagina v - There is no subject taught in the elementary schools that taxes the teacher's resources as to methods and devices to a greater extent than arithmetic, and none that is more dangerous to the pupil in the way of deadening his mind and arresting its development, if bad methods are used.
Pagina 304 - AND ABOUT SOUTH AMERICA: -*** Twenty Months of Quest and Query. By FRANK VINCENT. With Maps, Plans, and 54 full-page Illustrations. 8vo, xxiv + 473 pages. Ornamental cloth, $5.00.
Pagina 202 - The process of solving equations depends upon the following principles, called axioms : 1. If equals be added to equals, the sums are equal. 2. If equals be subtracted from equals, the remainders are equal. 3. If equals be multiplied by equals, the products are equal. 4. If equals be divided by equals, the quotients are equal. 5. Like powers or like roots of equals are equal. NOTE. Axiom 4 is not true if the divisor equals zero.
Pagina 304 - Mr. Vincent has succeeded in giving a most interesting and valuable narrative. His account is made doubly valuable by the exceptionally good illustrations, most of them photographic reproductions. The printing of both text and plates is beyond criticism."— -Philadelphia Public Ledger.
Pagina 300 - 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.