Number Projects for Beginners

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J. B. Lippincott Company, 1923 - 110 Seiten
 

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Seite 9 - When the school introduces and trains each child of society into membership within such a little community, saturating him with the spirit of service, and providing him with the instruments of effective self-direction, we shall have the deepest and best guaranty of a larger society which is worthy, lovely, and harmonious.
Seite 9 - ... by which society keeps itself going, as agencies for bringing home to the child some of the primal necessities of community life and as ways in which these needs have been met by the growing insight and ingenuity of man; in short, as instrumentalities through which the school itself shall be made a genuine form of active community life, instead of a place set apart in which to learn lessons.
Seite 12 - ... recognition of the part which Greek theory and practice assigned to the ideas of rhythm, of balance, of measure, in moral and aesthetic culture. That the Greeks also kept their arithmetical training in closest connection with the study of spatial forms, with measurement, may again be more than a coincidence. Even upon its merely formal side, a study which requires exactitude, continuity, patience, which automatically rejects all falsification of data, all slovenly manipulation, which sets up...
Seite 16 - ... circumstances. Number is a product of the way in which the mind deals with objects in the operation of making a vague whole definite.
Seite 22 - But not any and every sort of thing which passes for teaching or for "experience" will make a teacher any more than simply sawing a bow across violin strings will make a violinist. It is a certain quality of practice, not mere practice, which produces the expert and the artist. Unless the practice is based upon rational principles, upon insight into facts and their meaning, "experience" simply fixes incorrect acts into wrong habits.
Seite 17 - ... observation method, depends almost wholly upon physical operations with things. Objects of various kinds — beans, shoe-pegs, splints, chairs, blocks — are separated and combined in various ways, and true ideas of number and of numerical operations are supposed necessarily to arise. Both of these methods are vitiated by the same fundamental psychological error ; they do not take account of the fact that number arises in and through the activity of mind in, dealing with objects.
Seite 11 - ... a good citizen is anything more than a thoroughly efficient and serviceable member of society, one with all his powers of body and mind under control, is a cramped superstition which it is hoped may soon disappear from educational discussion.
Seite 22 - ... energy are wasted that might easily be saved by wise insight and direction at the outset. The worst thing about empiricism in every department of human activity is that it leads to a blind observance of rule and routine. The mark of the empiric is that he is helpless in the face of new circumstances; the mark of the scientific worker is that he has power in grappling with the new and the untried; he is master of principles which he can effectively apply under novel conditions. The one is a slave...

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