Concrete Geometry: For Beginners (Classic Reprint) - Hardcover

Inhaltsangabe

Excerpt from Concrete Geometry: For Beginners

Much of the material of this book was prepared to meet this demand on the part of the author's own pupils during several years of teaching, and all of it has been subjected to the test of the school room under plans which encourage on the part of the pupils the freest disclosures of the mental processes induced by the work.

The aim of the work is to awaken gradually, by simple and natural methods, the mathematical consciousness of the child and to guide his perceptions in such a way as to lead him to lay a firm foundation for demonstrative geometry by means of his own observa tions and inventions. The recognition of different geometric forms and of their numerical relations, and the practicing of the geometric imagination, constitute for children a useful and delightful exercise, which this book is intended to promote.

The author has selected from standard mathematical works the statements of some important facts and principles that are capable of concrete demonstration from the standpoint of the child, and has presented them in various ways and in different relations. Emphasis is placed upon the number relations of geometric forms, as a means of arousing those definite and exact ideas of form that are induced by actual measurements and computations.

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