Understanding Geometry
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Understanding Geometry
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Author : Terri Husted
language : en
Publisher:
Release Date : 2012-05-15
Understanding Geometry written by Terri Husted and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-15 with categories.
Geometry Intuition And Concepts
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Author : Jost-Hinrich Eschenburg
language : en
Publisher: Springer Nature
Release Date : 2022-10-31
Geometry Intuition And Concepts written by Jost-Hinrich Eschenburg and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-31 with Mathematics categories.
This book deals with the geometry of visual space in all its aspects. As in any branch of mathematics, the aim is to trace the hidden to the obvious; the peculiarity of geometry is that the obvious is sometimes literally before one's eyes.Starting from intuition, spatial concepts are embedded in the pre-existing mathematical framework of linear algebra and calculus. The path from visualization to mathematically exact language is itself the learning content of this book. This is intended to close an often lamented gap in understanding between descriptive preschool and school geometry and the abstract concepts of linear algebra and calculus. At the same time, descriptive geometric modes of argumentation are justified because their embedding in the strict mathematical language has been clarified. The concepts of geometry are of a very different nature; they denote, so to speak, different layers of geometric thinking: some arguments use only concepts such as point, straight line, and incidence, others require angles and distances, still others symmetry considerations. Each of these conceptual fields determines a separate subfield of geometry and a separate chapter of this book, with the exception of the last-mentioned conceptual field "symmetry", which runs through all the others: - Incidence: Projective geometry - Parallelism: Affine geometry - Angle: Conformal Geometry - Distance: Metric Geometry - Curvature: Differential Geometry - Angle as distance measure: Spherical and Hyperbolic Geometry - Symmetry: Mapping Geometry. The mathematical experience acquired in the visual space can be easily transferred to much more abstract situations with the help of the vector space notion. The generalizations beyond the visual dimension point in two directions: Extension of the number concept and transcending the three illustrative dimensions. This book is a translation of the original German 1st edition Geometrie – Anschauung und Begriffe by Jost-Hinrich Eschenburg, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.
Designing Learning Environments For Developing Understanding Of Geometry And Space
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Author : Richard Lehrer
language : en
Publisher: Routledge
Release Date : 2012-11-12
Designing Learning Environments For Developing Understanding Of Geometry And Space written by Richard Lehrer and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Education categories.
This volume reflects an appreciation of the interactive roles of subject matter, teacher, student, and technologies in designing classrooms that promote understanding of geometry and space. Although these elements of geometry education are mutually constituted, the book is organized to highlight, first, the editors' vision of a general geometry education; second, the development of student thinking in everyday and classroom contexts; and third, the role of technologies. Rather than looking to high school geometry as the locus--and all too often, the apex--of geometric reasoning, the contributors to this volume suggest that reasoning about space can and should be successfully integrated with other forms of mathematics, starting at the elementary level and continuing through high school. Reintegrating spatial reasoning into the mathematical mainstream--indeed, placing it at the core of K-12 mathematics environments that promote learning with understanding--will mean increased attention to problems in modeling, structure, and design and reinvigoration of traditional topics such as measure, dimension, and form. Further, the editors' position is that the teaching of geometry and spatial visualization in school should not be compressed into a characterization of Greek geometry, but should include attention to contributions to the mathematics of space that developed subsequent to those of the Greeks. This volume is essential reading for those involved in mathematics education at all levels, including university faculty, researchers, and graduate students.
Understanding Geometry
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Author : Brian Nash
language : en
Publisher: Nightingale Press
Release Date : 2000
Understanding Geometry written by Brian Nash and has been published by Nightingale Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Geometry categories.
Understanding Geometry
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Author : Kathy Richardson
language : en
Publisher:
Release Date : 1999
Understanding Geometry written by Kathy Richardson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Geometry categories.
Glorious Geometry
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Author : Lisa Arias
language : en
Publisher: Carson-Dellosa Publishing
Release Date : 2014-08-01
Glorious Geometry written by Lisa Arias and has been published by Carson-Dellosa Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-01 with Juvenile Nonfiction categories.
Oh, my! In this rhyming text students will gain understanding of how geometry is made up of lines, angles, and shapes, and how this can get confusing at times. This book will guide them through understanding geometry with the help of visual representations, step-by-step instructions, and sample questions. So, hop on the line and follow the path of understanding geometry! This book will allow students to draw and identify lines and angles, and classify shapes by properties of their lines and angles.
Glorious Geometry
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Author : Lisa Arias
language : en
Publisher: Britannica Digital Learning
Release Date : 2019-06-01
Glorious Geometry written by Lisa Arias and has been published by Britannica Digital Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-01 with Juvenile Nonfiction categories.
Oh, my! In this rhyming text students will gain understanding of how geometry is made up of lines, angles, and shapes, and how this can get confusing at times. This book will guide them through understanding geometry with the help of visual representations, step-by-step instructions, and sample questions. So, hop on the line and follow the path of understanding geometry! This book will allow students to draw and identify lines and angles, and classify shapes by properties of their lines and angles.
Geometry
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Author : Harold R. Jacobs
language : en
Publisher: New Leaf Publishing Group
Release Date : 2017-02-28
Geometry written by Harold R. Jacobs and has been published by New Leaf Publishing Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-28 with Mathematics categories.
Geometry Designed for Understanding Jacobs’ Geometry utilizes a clear, conversational, engaging approach to teach your student the concepts, principles, and application of Geometry through practical, real-life application! Harold Jacobs guides your student through Geometry, enabling them to discover the concepts & their applications for themselves in order to develop an understanding of the principles that goes beyond simple memorization to pass a test. Jacobs’ unique instructional approach to math means your student: Develops a true understanding of geometric principlesInteracts with concepts using real-world examples, ensuring they’ll know exactly how to apply the material they are learning to real-life and other academic subjectsIs prepared to take their understanding of Geometry concepts outside the math textbook and successfully apply them to higher math courses, sciences, & everyday lifeIs equipped with an understanding of the foundational mathematical concepts of Geometry—and once a student truly understands the concepts in Geometry, they are equipped & prepared for all higher math & sciences! Engaging, Real-World Instruction Understanding both the why and how of Geometry is foundational to your student’s success in high school and college. Jacobs’ Geometry provides students with a clear and thorough understanding of why concepts work, as well as how they are applied to solve real-world problems. A Top Choice for High School Success & College Prep Jacobs’ Geometry has proven its ability to guide students towards success and is still the choice of top teachers and schools. The unique instructional method within Jacobs’ Geometry ensures your student understands both the why and how of Geometry and establishes a strong foundation for higher math & science courses. If your student is planning for college or a STEM career, Jacobs’ Geometry ensures they are equipped with the tools they need to succeed! Geometry Student Text Includes: Full Color Illustrations16 sections, covering deductive reasoning, lines & angles, congruence, inequalities, quadrilaterals, area, triangles, circles, theorems, polygons, geometric solids, and more!Answers to select exercises in the back of the textFlexible based on focus & intensity of courseSet I exercises review ideas & concepts from previous lessons to provide ongoing application of material.Set II exercises allow student to apply material from the new lessonSet III exercises provided additional, more challenging problems
Putting Essential Understanding Of Geometry Into Practice In Grades 6 8
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Author : Terry Crites
language : en
Publisher: National Council of Teachers of English
Release Date : 2018
Putting Essential Understanding Of Geometry Into Practice In Grades 6 8 written by Terry Crites and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Geometry categories.
Learn about the specialized pedagogical content knowledge you need to teach geometry effectively in grades 6-8. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with geometry-not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts.
Understanding Geometry
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Author : Betsy Franco-Feeney
language : en
Publisher: Great Source Education Group
Release Date : 2006-01-01
Understanding Geometry written by Betsy Franco-Feeney and has been published by Great Source Education Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Activity programs in education categories.
- Develops skills through activities, literature-based problem solving, and writing- Introduces and reinforces concepts - Presents ideas visually and concretely - Supports a variety of learning styles - Works in whole-class and small groups