The Learning and Teaching of Geometry in Secondary Schools

The Learning and Teaching of Geometry in Secondary Schools

Author: Pat Herbst

Publisher: Routledge

Published: 2017-03-16

Total Pages: 405

ISBN-13: 1351973525

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IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.


The First Six Books of the Elements of Euclid

The First Six Books of the Elements of Euclid

Author: University Lecturer in English University of Cambridge and Fellow John Casey

Publisher: CreateSpace

Published: 2015-10-18

Total Pages: 222

ISBN-13: 9781518674709

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CLASSICS The First Six Books of the Elements of Euclid With Copious Annotations and Numerous Exercises By John Casey This edition of the Elements of Euclid, undertaken at the request of the prin-cipals of some of the leading Colleges and Schools of Ireland, is intended to supply a want much felt by teachers at the present day - the production of a work which, while giving the unrivalled original in all its integrity, would also contain the modern conceptions and developments of the portion of Geometry over which the Elements extend. A cursory examination of the work will show that the Editor has gone much further in this latter direction than any of his predecessors, for it will be found to contain, not only more actual matter than is given in any of theirs with which he is acquainted, but also much of a special character, which is not given, so far as he is aware, in any former work on the subject. The great extension of geometrical methods in recent times has made such a work a necessity for the student, to enable him not only to read with ad-vantage, but even to understand those mathematical writings of modern times which require an accurate knowledge of Elementary Geometry, and to which it is in reality the best introduction. In compiling his work the Editor has received invaluable assistance from the late Rev. Professor Townsend, s.f.t.c.d. The book was rewritten and con-siderably altered in accordance with his suggestions, and to that distinguished Geometer it is largely indebted for whatever merit it possesses. The Questions for Examination in the early part of the First Book are in-tended as specimens, which the teacher ought to follow through the entire work. Every person who has had experience in tuition knows well the importance of such examinations in teaching Elementary Geometry.


The Elements of Euclid for the Use of Schools and Colleges; the Fifth, Sixth Books

The Elements of Euclid for the Use of Schools and Colleges; the Fifth, Sixth Books

Author: Isaac Todhunter

Publisher: Blurb

Published: 2024-05-31

Total Pages: 0

ISBN-13:

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This version of Euclid's Elements contains the Fifth, Sixth and portions of the eleventh and twelfth books. It contains all notes, an appendix, and exercises at the back of the book. Thus, the content is perfect for any student of mathematics. The Elements (Ancient Greek: Στοιχεῖα Stoicheia) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century. Euclid's Elements has been referred to as the most successful and influential textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing in 1482, with the number reaching well over one thousand. For centuries, when the quadrivium was included in the curriculum of all university students, knowledge of at least part of Euclid's Elements was required of all students. Not until the 20th century, by which time its content was universally taught through other school textbooks, did it cease to be considered something all educated people had read


The Elements of Euclid for the Use of Schools and Colleges (Illustrated and Annotated)

The Elements of Euclid for the Use of Schools and Colleges (Illustrated and Annotated)

Author: Isaac Todhunter

Publisher: Blurb

Published: 2021-07-28

Total Pages: 328

ISBN-13: 9781006706639

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Euclid's Elements has been referred to as the most successful and influential textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing in 1482, the number reaching well over one thousand. For centuries, when the quadrivium was included in the curriculum of all university students, knowledge of at least part of Euclid's Elements was required of all students. The Elements is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century. This Original Edition Contains SIX Books, but due to its large volume, the book has been divided into two parts. This book contains part 1 of BOOK1, BOOK2, BOOK3 AND BOOK4 COMPRISING THE FIRST SIX BOOKS AND PORTIONS OF THE ELEVENTH AND TWELFTH BOOKS; WITH NOTES, AN APPENDIX, AND EXERCISES PART2 IS ALSO OUT


The Elements of Euclid for the Use of Schools and Colleges; the First Four Books

The Elements of Euclid for the Use of Schools and Colleges; the First Four Books

Author: Isaac Todhunter

Publisher: Blurb

Published: 2024-05-31

Total Pages: 0

ISBN-13:

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This version of Euclid's Elements contains the first four books. It contains all notes, an appendix, and exercises at the back of the book. Thus, the content is perfect for any student of mathematics. The Elements (Ancient Greek: Στοιχεῖα Stoicheia) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century. Euclid's Elements has been referred to as the most successful and influential textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing in 1482, with the number reaching well over one thousand. For centuries, when the quadrivium was included in the curriculum of all university students, knowledge of at least part of Euclid's Elements was required of all students. Not until the 20th century, by which time its content was universally taught through other school textbooks, did it cease to be considered something all educated people had read


Geometry

Geometry

Author: Serge Lang

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 405

ISBN-13: 147572022X

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At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. They also show students the fundamental concepts and the difference between important results and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course, naturally backed by numerous examples and exercises.


Philosophy of Mathematics and Deductive Structure in Euclid's Elements

Philosophy of Mathematics and Deductive Structure in Euclid's Elements

Author: Ian Mueller

Publisher: Courier Dover Publications

Published: 2006

Total Pages: 404

ISBN-13:

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A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.


The Elements of Euclid for the Use of Schools and Colleges Part2 (Illustrated and Annotated)

The Elements of Euclid for the Use of Schools and Colleges Part2 (Illustrated and Annotated)

Author: Isaac Todhunter

Publisher: Blurb

Published: 2021-07-28

Total Pages: 280

ISBN-13: 9781006706561

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Euclid's Elements has been referred to as the most successful and influential textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing in 1482, the number reaching well over one thousand. For centuries, when the quadrivium was included in the curriculum of all university students, knowledge of at least part of Euclid's Elements was required of all students. The Elements is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century. This Original Edition Contains SIX Books, but due to its large volume, the book has been divided into two parts. This book contains part 1 of BOOK5, BOOK6, BOOK7 AND BOOK8 COMPRISING THE FIRST SIX BOOKS AND PORTIONS OF THE ELEVENTH AND TWELFTH BOOKS; WITH NOTES, AN APPENDIX, AND EXERCISES PART1 IS ALSO OUT