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
In 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 writers usually affect, and which has some how come to be regarded as an 'inseparable accident' of scientific teaching. I never could quite see the reason ableness of this immemorial law: subjects there are, no doubt, which are in their essence too serious to admit of any lightness of treatment - but I cannot recognise Geo metry as one of them. Nevertheless it will, I trust, be found that I have permitted myself a glimpse of the comic side of things only at fitting seasons, when the tired reader might well crave a moment's breathing-space, and not on any occasion where it could endanger the continuity of a line of argument.
Pitying friends have warned me of the fate upon which I am rushing: they have predicted that, in thus abandon ing the dignity of a scientific writer, I shall alienate the sympathies of all true scientific readers, who will regard the book as a mere jozo d'esprit, and will not trouble them selves to look for any serious argument in it. But it must be borne in mind that, if there is a Scylla before me, there is also a Charybdis - and that, in my fear of being read as a jest, I may incur the darker destiny of not being read at all.
In furtherance of the great cause which I have at heart -the vindication of Euclid' s masterpiece - I am content to run some risk; thinking it far better that the purchaser of this little book should read it, though it be with a smile.
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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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Librería: Forgotten Books, London, Reino Unido
Paperback. Condición: 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. Nº de ref. del artículo: 9781332471072_0
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Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332471072
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Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332471072
Cantidad disponible: 15 disponibles
Librería: Revaluation Books, Exeter, Reino Unido
Paperback. Condición: Brand New. 309 pages. 8.43x5.85x0.73 inches. In Stock. This item is printed on demand. Nº de ref. del artículo: 1332471072
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Librería: moluna, Greven, Alemania
Condición: 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. Nº de ref. del artículo: 2147959888
Cantidad disponible: Más de 20 disponibles