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Inhaltsangabe
A clear-eyed look at geometry teaching from Euclid’s time to modern rivals, with practical insights for readers and students alike.
This edition surveys how different manuals approach proofs, parallels, and the flow of logical argument. It emphasizes teaching clarity and the balance between rigorous reasoning and engaging illustration, appealing to readers curious about the history and practice of geometry.
- Compare Euclid’s methods with those of later authors and see why teaching approach matters.
- Learn what to watch for in proofs, axioms, and the treatment of parallels.
- Explore how diagrams, examples, and accessible language can aid beginner learners.
- Read a thoughtful discussion on balancing mathematical rigor with readability.
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Euclid and His Modern Rivals (Classic Reprint)
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
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Paperback. Zustand: New. Print on Demand. This book delves into a spirited debate within the realm of mathematics education, specifically focusing on the merits and drawbacks of Euclid's Elements as a foundational text for teaching geometry. Through a unique and engaging dramatic format, the author presents a compelling argument for the continued use of Euclid's work, challenging the claims of numerous "modern rivals" who propose alternative approaches. Set against the backdrop of 19th-century advancements in mathematics and evolving pedagogical methods, the book explores the historical significance of Euclid's Elements and its enduring influence on geometric instruction. The author meticulously examines the logical structure, sequence, and clarity of Euclid's propositions, highlighting their effectiveness in cultivating rigorous thinking and problem-solving skills. Central to the discussion is the concept of parallel lines and the various axiomatic foundations upon which different geometric systems are built. The author critically assesses alternative treatments of parallels, such as those based on infinite series, angles formed with transversals, equidistance, and the notion of direction. By dissecting the strengths and weaknesses of these approaches, the book provides valuable insights into the fundamental principles of geometry and the challenges of effectively conveying them to students. Ultimately, this book champions the elegance and enduring value of Euclid's Elements as a cornerstone of geometric education. It underscores the importance of a solid foundation in classical principles for fostering a deeper understanding of mathematical concepts and their applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781332471072_0
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Euclid and His Modern Rivals Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332471072
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Euclid and His Modern Rivals Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332471072
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Euclid and His Modern Rivals (Classic Reprint)
Print-on-DemandAnbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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Paperback. Zustand: Brand New. 309 pages. 8.43x5.85x0.73 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk1332471072
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