Thinking Geometrically
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Thinking Geometrically
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Author : Thomas Q. Sibley
language : en
Publisher: The Mathematical Association of America
Release Date : 2015-08-14
Thinking Geometrically written by Thomas Q. Sibley and has been published by The Mathematical Association of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-14 with Mathematics categories.
Thinking Geometrically: A Survey of Geometries is a well written and comprehensive survey of college geometry that would serve a wide variety of courses for both mathematics majors and mathematics education majors. Great care and attention is spent on developing visual insights and geometric intuition while stressing the logical structure, historical development, and deep interconnectedness of the ideas. Students with less mathematical preparation than upper-division mathematics majors can successfully study the topics needed for the preparation of high school teachers. There is a multitude of exercises and projects in those chapters developing all aspects of geometric thinking for these students as well as for more advanced students. These chapters include Euclidean Geometry, Axiomatic Systems and Models, Analytic Geometry, Transformational Geometry, and Symmetry. Topics in the other chapters, including Non-Euclidean Geometry, Projective Geometry, Finite Geometry, Differential Geometry, and Discrete Geometry, provide a broader view of geometry. The different chapters are as independent as possible, while the text still manages to highlight the many connections between topics. The text is self-contained, including appendices with the material in Euclid’s first book and a high school axiomatic system as well as Hilbert’s axioms. Appendices give brief summaries of the parts of linear algebra and multivariable calculus needed for certain chapters. While some chapters use the language of groups, no prior experience with abstract algebra is presumed. The text will support an approach emphasizing dynamical geometry software without being tied to any particular software.
Thinking Geometrically
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Author : John T. Waisanen
language : en
Publisher: Peter Lang Incorporated, International Academic Publishers
Release Date : 2002
Thinking Geometrically written by John T. Waisanen and has been published by Peter Lang Incorporated, International Academic Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Art categories.
What skills do we need to negotiate the changing technological circumstances of our lives? How should we respond to the changing space of the visual, the technological? We are bombarded with answers to these questions: by media, by government, and by education. For the most part we are told that what we need to do is utilize the latest technologies and develop the newest skills (computer literacy prominent among them). Here, with keen interdisciplinary insight, historical sensitivity, and corporate design experience, John T. Waisanen offers a different kind of argument. He looks to particular skills we might be losing (and might have for some time been losing): drawing in particular; and to the «art» of integrating complex vision, thought and practice, what he calls design - or geometrical thinking. This points to the importance of the arts as a physical practice and to the cultivation of complex vision and thought gained in and through an education where geometry and literature are equally important, where physical intelligence (not just dexterity) and philosophical intelligence are equally important.
Fostering Geometric Thinking
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Author : Mark J. Driscoll
language : en
Publisher: Heinemann Educational Books
Release Date : 2007
Fostering Geometric Thinking written by Mark J. Driscoll and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Education categories.
"Fostering Geometric Thinking shows you how the interplay of these strands helps students devise multiple solutions and develop a broader sense of geometric principles. It's loaded with helpful resources, including: engaging problems to use in your classroom; examples of student solutions to these problems; transcripts of classroom interactions; and a DVD featuring in-the-field footage of students working through open-ended problems highlighted in the book." "Geometry is a vital component of mathematical understanding, and it's time that it received the same attention that algebra and statistics do. With engaging problems and straightforward suggestions that can help students deepen, recognize, and describe their thinking, Fostering Geometric Thinking is the resource you need to ensure that when it comes to geometry, your students know all the angles."--BOOK JACKET.
Is The Van Hiele Model Useful In Determining How Children Learn Geometry
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Author : Sam Curran
language : en
Publisher: GRIN Verlag
Release Date : 2015-06-11
Is The Van Hiele Model Useful In Determining How Children Learn Geometry written by Sam Curran and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-11 with Education categories.
Scientific Study from the year 2014 in the subject Pedagogy - School Pedagogics, grade: 82, , course: Mathematics Teaching, language: English, abstract: The aim of this study is to investigate how children learn Geometry (at all levels of compulsory education) in Mathematics. This study was chosen because of my difficulties in the area and the possible under-representation of Geometry in the Mathematics Curriculum. Five tasks were given to two students for each Key Stage 1-5 inclusive. These were then analysed using the “Van Hiele model of Geometric” reasoning; which was used to make an assessment of children’s geometrical ability. The study also draws on theoretical frameworks from eminent researchers like Vygotsky, Piaget and Bruner as well as engaging fully with current educational literature and research. A questionnaire on Geometry was also completed by a variety of primary, secondary and A-level mathematics teachers. It was found that geometrical ability increases with age (although young children can display sophisticated knowledge of shape) and that students mainly drew shapes of a non-prototypical orientation. This has increased my subject knowledge and enhanced my classroom practice and also may have the implication of changing other practitioners’ teaching strategies.
Projective Geometry
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Author : Olive Whicher
language : en
Publisher:
Release Date : 1971
Projective Geometry written by Olive Whicher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
This work provides a layperson's approach to projective geometry. Written with fire and intuitive genius and illustrated with many diagrams, this work will be of interest to anyone wishing to cultivate the power of inner visualization in a realm of structured beauty.
Ethic Demonstrated In Geometrical Order And Divided Into Five Parts
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Author : Benedictus de Spinoza
language : en
Publisher:
Release Date : 1883
Ethic Demonstrated In Geometrical Order And Divided Into Five Parts written by Benedictus de Spinoza and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1883 with Ethics categories.
Ethic Demonstrated In Geometrical Order Tr By W H White
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Author : Benedictus de Spinoza
language : en
Publisher:
Release Date : 1894
Ethic Demonstrated In Geometrical Order Tr By W H White written by Benedictus de Spinoza and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1894 with categories.
Ethic Demostrated In Geometrical Order And Divided Into Five Parts
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Author : Benedictus de Spinoza
language : en
Publisher:
Release Date : 1883
Ethic Demostrated In Geometrical Order And Divided Into Five Parts written by Benedictus de Spinoza and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1883 with categories.
Ethic Demonstrated In Geometrical Order
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Author : Benedictus de Spinoza
language : en
Publisher:
Release Date : 1894
Ethic Demonstrated In Geometrical Order written by Benedictus de Spinoza and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1894 with Ethics categories.
Ethic Demonstrated In Geometrical Order And Divided Into Five Parts Which Treat I Of God Ii Of The Nature And Origin Of The Mind Iii Of The Origin And Nature Of The Affects Iv Of Human Bondage Or Of The Strength Of The Affects V Of The Power Of The Intellect Or Of Human Liberty
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Author : Benedictus de Spinoza
language : en
Publisher:
Release Date : 1883
Ethic Demonstrated In Geometrical Order And Divided Into Five Parts Which Treat I Of God Ii Of The Nature And Origin Of The Mind Iii Of The Origin And Nature Of The Affects Iv Of Human Bondage Or Of The Strength Of The Affects V Of The Power Of The Intellect Or Of Human Liberty written by Benedictus de Spinoza and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1883 with Ethics categories.