Excerpt from Outlines of Mathematical Science: For the School-Room
The object of this work is to furnish to the teacher, in the school-room, an aid and guide in his daily labors of giving Mathematical Instruction.
The work is but an analysis, in an abridged form, of that system of mathematical instruction which has been steadily pursued at the Military Academy over a third of a century, and which has given to that institution its celebrity as a school of mathematical science.
It is the essence of this system that a principle be taught before it is applied to practice - that Science should precede Art-and that general laws and general principles are the only true foundations of knowledge. Where, then, for the instruction of the young, can we find these laws and principles?
The first impressions which the child receives of Number and Space are the foundations of his mathematical knowledge. They form, as it were, a part of his intellectual being.
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