The Educator's Instruments. The Teacher's Hand-book and Manual of Graduated Arithmetic. First Course

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Seite 1 - Did the Almighty," says Lessing, " holding in his right hand Truth, and in his left Search after Truth, deign to proffer me the one I might prefer ; — in all humility but without hesitation, I should request — Search after Truth.
Seite 38 - Let exercise be so devised as to make the pupil familiar with its application. Let him construct exercises himself ; let him not leave them until he feels that he understands both the law and its application, and is able to make use of it freely and without assistance.
Seite 6 - ... else, that we are sure when we use them we know and have in view the whole of our own meaning. It is widely different with words expressing natural objects and mixed relations. Take, for instance, iron. Different persons attach very different ideas to this word. One who has never heard of magnetism has a widely different notion of iron from one in the contrary predicament. The vulgar, who regard this metal as...
Seite 80 - The teacher who enters intelligently upon his work of cultivating the minds entrusted to his care, knows that his chief duty is to cherish the spontaneous action of their powers, and to make them intelligent and voluntary co-workers in their own development He observes, therefore, with careful attention, the natural tendencies and action of the intellectual system, as the physiologist does those of the corporeal, so as to become competent to trace the law of development, and adapt his measures to...
Seite 7 - Now, the study of the abstract sciences, such as arithmetic, geometry, algebra, &c., while they afford scope for the exercise of reasoning about objects that are, or, at least, may be conceived to be, external to us, yet, being free from these sources of error and mistake, accustom us to the strict use of language...
Seite 7 - Philosophy. fury, and who has other reasons for regarding it as one of the most combustible bodies in nature — the poet, who uses it as an emblem of rigidity — and the smith and engineer, in whose hands it is plastic, and moulded like wax into every form — the jailer, who...
Seite 19 - ... presentation of objects, for this special purpose. We read, in the accounts of one English exploring voyage, that the inhabitants of one group of islands in the Pacific, had do definite ideas of any number over five; and experienced teachers are well aware that, in the case of pupils accustomed to depend on the mere verbal memory of the words which represent numbers, and unprovided with a firm basis of actual observation of palpable objects, and the .personal knowledge which such experience gives,...
Seite 6 - ... our reasonings are full and true representatives of the things signified ; and, consequently, that when we use language or signs in argument, we neither, by their use, introduce extraneous notions, nor exclude any part of the case before us from consideration. For example : the words space, square, circle, a hundred, &c., convey to the mind notions so complete in themselves, and so distinct from every thing else, that we are sure, when we use them, we know and have in view the whole of our own...
Seite 11 - The great point accordingly to be aimed at, as things now are, in the primary school is this : — How to give the greatest possible amount of mental instruction and moral discipline in the brief period through which the education of the scholar lasts ; and how to render this amount of the greatest practical service for the entire remainder of human life. Viewed in this light it will be seen at once that it is not the school which can bring forward a few showy and perhaps really successful pupils,...
Seite 74 - ... without bringing together individuals of diverse capacity, knowledge, and habits of study. A good teacher can teach a class of forty with as much ease as a class of ten, and with far more profit to each individual, than if the same amount of time was divided up among four classes, each containing one-fourth of the whole number.

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