Inventional Geometry: A Series of Problems, Intended to Familiarize the Pupil (Classic Reprint) - Hardcover

William George Spencer

9780365007333: Inventional Geometry: A Series of Problems, Intended to Familiarize the Pupil (Classic Reprint)

Hardcover

ISBN 10: 0365007331 ISBN 13: 9780365007333

Publisher: Forgotten Books, 2018

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Unlock geometry through invention, practice, and discovery.

This practical workbook introduces the inventional method of teaching practical geometry, guiding learners to build understanding by solving problems rather than memorizing rules.

Designed to strengthen reasoning and hand skills, the book emphasizes real engagement with geometric ideas. It blends definitions, questions, and carefully crafted exercises that progress from simple to challenging, encouraging students to illustrate each concept and to construct figures with proper tools. The approach helps students learn to think for themselves, invent their own methods, and verify solutions through clear reasoning.

Contents cover solids, surfaces, and lines, with activities using compasses, rulers, protractors, and diagrams. Topics range from basic dimensions to more advanced constructions, tangents, circles, polygons, and areas. The problems invite hands-on practice, visualization, and systematic thinking, as well as occasional “impossible” prompts to foster resilience and creativity.

Hands-on construction and diagramming with standard geometry tools
Progressive problems that build self-reliance and logical reasoning
Clear explanations and illustrations that connect definitions to proofs
Varied challenges, from simple measurements to creative shape transformations

Ideal for students beginning or deepening study in practical geometry, teachers seeking a structured practice resource, and adults exploring geometric thinking at home.

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