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Synopsis
Inventional Geometry: A Series of Questions, Problems, and Explanations by William George Spencer is a nineteenth-century geometry primer that promotes an inventional method for teaching practical geometry. Spencer emphasizes that practical geometry should come before theoretical geometry, advocating for learning through understanding rather than rote memorization. This work features an Introduction, a detailed outline of definitions, and a comprehensive sequence of questions and problems designed to enhance students’ inventive skills, self-reliance, and ability to create solutions using geometric tools. The problems often involve constructing diagrams with compasses, rulers, scales, and protractors, and may present challenging scenarios to encourage reasoning. Topics include fundamental concepts of solids, surfaces, lines, angles, circles, and polygons, along with numerous exercises on area, ratios, and geometric relationships. Originally published in 1860 by J. Mozley in London, this edition aims to prepare students for Euclid and advanced mathematics through engaging, student-centered practice.
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Inventional Geometry: a Ser. of Questions, Problems, and Explanations
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Inventional Geometry: a Ser. of Questions, Problems, and Explanations
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ISBN 10: 0371727235
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Spencer, W: Inventional Geometry
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