A witty, thought‑provoking look at how geometry is taught. This study surveys Euclid’s geometry against modern rival manuals, blending humor with careful argument to defend the enduring value of Euclid’s approach.
In a clear, accessible voice, the book explores ideas about how geometric truth should be taught, the logic behind classic proofs, and how new methods measure up. It examines several contemporary authors and teaching methods, offering readers a concise picture of the debate and its history. The work balances light, comic moments with serious analysis, making complex topics approachable for curious readers.
Ideal for readers of mathematical history, philosophy of math, and educators seeking a brisk, engaging tour of geometry's teaching traditions.
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Excerpt from Euclid and His Modern Rivals
The object of this little book is to furnish evidence, first, that it is essential, for the purpose of teaching or examining in elementary Geometry, to employ one text book only; secondly, that there are strong a priori reasons for retaining, in all its main features, and specially in its sequence and numbering of propositions and in its treatment of parallels, the Manual of Euclid; and thirdly, that no sufficient reasons have yet been shown for abandoning it in favour of any one of the modern Manuals which have been offered as substitutes.
It is presented in a dramatic form, partly because it seemed a better way of exhibiting in alternation the arguments on the two sides of the question; partly that I might feel myself at liberty to treat it in a rather lighter style than would have suited an essay, and thus to make it a little less tedious and a little more acceptable to unscientific readers.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Vendeur : Forgotten Books, London, Royaume-Uni
Paperback. Etat : 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. N° de réf. du vendeur 9781332471072_0
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Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332471072
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Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781332471072
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Vendeur : Revaluation Books, Exeter, Royaume-Uni
Paperback. Etat : Brand New. 309 pages. 8.43x5.85x0.73 inches. In Stock. This item is printed on demand. N° de réf. du vendeur 1332471072
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Vendeur : moluna, Greven, Allemagne
Etat : New. KlappentextrnrnExcerpt from Euclid and His Modern RivalsrnrnIn one respect this book is an experiment, and may chance to prove a failure 3 I mean that I have not thought it necessary to maintain throughout the gravity of style which scientific w. N° de réf. du vendeur 2147959888
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