Author : Terri Husted
Publisher : Unknown
Page : 272 pages
File Size : 52,6 Mb
Release : 2012-05-15
Category : Electronic
ISBN : 1601444532
Understanding Geometry
Terri Husted
Understanding Geometry
Understanding Geometry Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Understanding Geometry book. This book definitely worth reading, it is an incredibly well-written.
Understanding Geometry
Kathy Richardson
Author : Kathy Richardson
Publisher : Unknown
Page : 157 pages
File Size : 45,6 Mb
Release : 1999
Category : Geometry
ISBN : 1928599001
Understanding Geometry by Kathy Richardson Pdf
Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12
Nathalie Sinclair,David Pimm,Melanie Skelin
Author : Nathalie Sinclair,David Pimm,Melanie Skelin
Publisher : National Council of Teachers of English
Page : 95 pages
File Size : 50,6 Mb
Release : 2012
Category : Education, Secondary
ISBN : 0873536924
Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12 by Nathalie Sinclair,David Pimm,Melanie Skelin Pdf
Why does it matter whether we state definitions carefully when we all know what particular geometric figures look like? What does it mean to say that a reflection is a transformation—a function? How does the study of transformations and matrices in high school connect with later work with vector spaces in linear algebra? How much do you know… and how much do you need to know? Helping your students develop a robust understanding of geometry requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about geometry. It is organised around four big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently. Move beyond the mathematics you expect your students to learn. Students who fail to get a solid grounding in pivotal concepts struggle in subsequent work in mathematics and related disciplines. By bringing a deeper understanding to your teaching, you can help students who don’t get it the first time by presenting the mathematics in multiple ways. The Essential Understanding Series addresses topics in school mathematics that are critical to the mathematical development of students but are often difficult to teach. Each book in the series gives an overview of the topic, highlights the differences between what teachers and students need to know, examines the big ideas and related essential understandings, reconsiders the ideas presented in light of connections with other mathematical ideas, and includes questions for readers’ reflection.
Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8
Nathalie Sinclair,David Pimm,Melanie Skelin
Author : Nathalie Sinclair,David Pimm,Melanie Skelin
Publisher : National Council of Teachers of English
Page : 96 pages
File Size : 42,6 Mb
Release : 2012-01
Category : Critical thinking
ISBN : 0873536916
Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8 by Nathalie Sinclair,David Pimm,Melanie Skelin Pdf
Why are there so many formulas for area and volume, and why do some of them look alike? Why does one quadrilateral have no special name while another has several, like square, rectangle, rhombus, and parallelogram—and why are all these names useful? How much do you know … and how much do you need to know? Helping your students develop a robust understanding of geometry requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about geometry. It is organized around four big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic.
Designing Learning Environments for Developing Understanding of Geometry and Space
Richard Lehrer,Daniel Chazan
Author : Richard Lehrer,Daniel Chazan
Publisher : Routledge
Page : 519 pages
File Size : 53,5 Mb
Release : 2012-11-12
Category : Education
ISBN : 9781136490514
Designing Learning Environments for Developing Understanding of Geometry and Space by Richard Lehrer,Daniel Chazan Pdf
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.
Helping Students Understand Geometry, Grades 7 - 8
Barbara R. Sandall,Mary Swarthout
Author : Barbara R. Sandall,Mary Swarthout
Publisher : Mark Twain Media
Page : 128 pages
File Size : 55,5 Mb
Release : 2008-08-28
Category : Juvenile Nonfiction
ISBN : 9781580377676
Helping Students Understand Geometry, Grades 7 - 8 by Barbara R. Sandall,Mary Swarthout Pdf
Give geometry a go with students in grades 7 and up using Helping Students Understand Geometry. This 128-page book includes step-by-step instructions with examples, practice problems using the concepts, real-life applications, a list of symbols and terms, tips, and answer keys. The book supports NCTM standards and includes chapters on topics such as coordinates, angles, patterns and reasoning, triangles, polygons and quadrilaterals, and circles.
Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Grades 3-5
Richard Lehrer,Hannah Slovin,Barbara J. Dougherty,Rose Mary Zbiek
Author : Richard Lehrer,Hannah Slovin,Barbara J. Dougherty,Rose Mary Zbiek
Publisher : Unknown
Page : 91 pages
File Size : 48,9 Mb
Release : 2014-06
Category : Geometry
ISBN : 087353669X
Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Grades 3-5 by Richard Lehrer,Hannah Slovin,Barbara J. Dougherty,Rose Mary Zbiek Pdf
How can you introduce terms from geometry and measurement so that your students’ vocabulary will enhance their understanding of concepts and definitions? What can you say to clarify the thinking of a student who claims that perimeter is always an even number? How does knowing what changes or stays the same when shapes are transformed help you support and extend your students’ understanding of shapes and the space that they occupy? How much do you know … and how much do you need to know? Helping your students develop a robust understanding of geometry and measurement requires that you understand fundamental statistical concepts deeply. But what does that mean? This book focuses on essential knowledge for mathematics teachers about geometry and measurement. It is organized around three big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry and measurement, the book will broaden and deepen your understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.
Designing Learning Environments for Developing Understanding of Geometry and Space
Richard Lehrer,Daniel Chazan
Author : Richard Lehrer,Daniel Chazan
Publisher : Routledge
Page : 520 pages
File Size : 41,6 Mb
Release : 2012-11-12
Category : Education
ISBN : 9781136490583
Designing Learning Environments for Developing Understanding of Geometry and Space by Richard Lehrer,Daniel Chazan Pdf
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.
The Britannica Guide to Geometry
Britannica Educational Publishing
Author : Britannica Educational Publishing
Publisher : Britannica Educational Publishing
Page : 316 pages
File Size : 46,9 Mb
Release : 2010-04-01
Category : Juvenile Nonfiction
ISBN : 9781615302178
The Britannica Guide to Geometry by Britannica Educational Publishing Pdf
More than a study of shapes and angles, geometry reflects an amalgamation of discoveries over time. This book not only provides readers with a comprehensive understanding of geometric shapes, axioms, and formulas, it presents the fields brilliant mindsfrom Euclid to Wendelin Werner and many in betweenwhose works reflect a progression of mathematical thought throughout the centuries and have helped produce the various branches of geometry as they are known today. Detailed diagrams illustrate various concepts and help make geometry accessible to all.
Geometry
Harold R. Jacobs
Author : Harold R. Jacobs
Publisher : Macmillan
Page : 802 pages
File Size : 50,7 Mb
Release : 2003-03-14
Category : Mathematics
ISBN : 0716743612
Geometry by Harold R. Jacobs Pdf
Harold Jacobs’s Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards. Since its publication nearly one million students have used this legendary text. Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest. This edition is the Jacobs for a new generation. It has all the features that have kept the text in class by itself for nearly 3 decades, all in a thoroughly revised, full-color presentation that shows today’s students how fun geometry can be. The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition.
Fundamental Algebraic Geometry
Barbara Fantechi
Author : Barbara Fantechi
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 49,8 Mb
Release : 2005
Category : Geometry, Algebraic
ISBN : 9780821842454
Fundamental Algebraic Geometry by Barbara Fantechi Pdf
Presents an outline of Alexander Grothendieck's theories. This book discusses four main themes - descent theory, Hilbert and Quot schemes, the formal existence theorem, and the Picard scheme. It is suitable for those working in algebraic geometry.
Euclid
Shoo Rayner
Author : Shoo Rayner
Publisher : Unknown
Page : 54 pages
File Size : 54,7 Mb
Release : 2017-11-02
Category : Juvenile Nonfiction
ISBN : 1908944366
Euclid by Shoo Rayner Pdf
Geometry is brought to life as Euclid explains principles of Geometry to his friends. With jokes and lots of illustrations, discover the beauty of geometry and, before you know it, you too will soon be a friend of Euclid! Shoo Rayner adds humour and simplicity to a tricky subject. A perfect introduction.
Geometry - Intuition and Concepts
Jost-Hinrich Eschenburg
Author : Jost-Hinrich Eschenburg
Publisher : Springer Nature
Page : 168 pages
File Size : 48,6 Mb
Release : 2022-10-31
Category : Mathematics
ISBN : 9783658386405
Geometry - Intuition and Concepts by Jost-Hinrich Eschenburg Pdf
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.
Geometry: Euclid and Beyond
Robin Hartshorne
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 44,7 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9780387226767
Geometry: Euclid and Beyond by Robin Hartshorne Pdf
This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
Glorious Geometry
Lisa Arias
Author : Lisa Arias
Publisher : Carson-Dellosa Publishing
Page : 32 pages
File Size : 51,8 Mb
Release : 2014-08-01
Category : Juvenile Nonfiction
ISBN : 9781627179485
Glorious Geometry by Lisa Arias Pdf
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.