Shape

Shape PDF Author: Jordan Ellenberg
Publisher: Penguin
ISBN: 1984879065
Category : Mathematics
Languages : en
Pages : 481

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Book Description
An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

Shape

Shape PDF Author: Jordan Ellenberg
Publisher: Penguin
ISBN: 1984879065
Category : Mathematics
Languages : en
Pages : 481

Get Book Here

Book Description
An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

Drawing Geometry

Drawing Geometry PDF Author:
Publisher: Floris Books - Floris Books
ISBN: 9780863156083
Category : Architecture
Languages : en
Pages : 86

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Book Description
Geometry is both elegantly simple and infinitely profound. Many professionals find they need to be able to draw geometric shapes accurately, and this unique book shows them how. It provides step-by-step instructions for constructing two-dimensional geometric shapes, which can be readily followed by a beginner, or used as an invaluable source book by students and professionals.

Differentiated Coaching

Differentiated Coaching PDF Author: Jane A. G. Kise
Publisher: Corwin Press
ISBN: 1506343201
Category : Education
Languages : en
Pages : 306

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Book Description
Differentiate your coaching practice to meet the needs of every teacher! Jane Kise takes you on a journey into differentiated coaching with a strength-based framework for understanding, appreciating, and working with people who may think differently from you. Through an online self-assessment tool, you will discover how your strengths and beliefs influence your coaching practice. Through examples, case studies, and reflection exercises, you will understand how to: Tailor your coaching practices to meet the needs of each educator Increase teacher willingness to implement new skills in their classrooms Anticipate patterns of resistance and adjust both the content and delivery of professional development

Designing Patterns

Designing Patterns PDF Author: Daniel Lynn Watt
Publisher: Calgary : Detselig Enterprises
ISBN:
Category : Education
Languages : en
Pages : 130

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Book Description
In this module designed for grades three to five, students design patterns to be used in a headdress or similar linear strip. They explore properties of shapes, lines of symmetry, and part-to-part and part-to-whole relationships. The module provides numerous opportunities for the teacher to extend and adapt this curriculum, from further explorations of fractions to Yup?ik cultural knowledge. About the Series Math in a Cultural Context This series is a supplemental math curriculum based on the traditional wisdom and practices of the Yup?ik people of southwest Alaska. The result of more than a decade of collaboration between math educators and Yup?ik elders, these modules connect cultural knowledge to school mathematics. Students are challenged to communicate and think mathematically as they solve inquiry-oriented problems, which require creative, practical and analytical thinking. Classroom-based research strongly suggests that students engaged in this curriculum can develop deeper mathematical understandings than students who engage only with a procedure-oriented, paper-and-pencil curriculum.

Authentic Secondary Art Assessment

Authentic Secondary Art Assessment PDF Author: Cathy Smilan
Publisher: Taylor & Francis
ISBN: 1000928241
Category : Education
Languages : en
Pages : 431

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Book Description
Offering a contemporary overview of how visual art teachers assess learning in their classrooms, this book provides an outline of the role of assessment in reporting not only student achievement but also how student assessment ties to the intrinsic and external assessments of teacher performance. Compiled using stories from the classrooms of 19 visual art high school teachers who share their approaches to benchmarking student success, the text encourages teachers to consider assessment both for guiding their students to achieve artistic goals and for re-envisioning their own curriculum and instruction. The featured assessment snapshots fall along four strands: Visual Narratives and Visual Literacy; Capturing Empathic Understandings and Social Engagement; Measuring Risk-taking and Ingenuity; and Assessing Collaborative and Integrated Learning Outcomes. Across these sections, teacher contributors offer different perspectives for student assessment, capturing a snapshot of the work of skilled practitioners and focusing on various aspects of what can be evidenced and analyzed through formative and summative evaluation. The voices of university level art educators are also included to expand the range of context from curriculum and instruction content that is covered in pre-service art methods courses. All sections also conclude with a summary, questions, and discussion points. Including diverse teacher voices as well as presenting assessment perspectives with an eye to the National Core Art Standards (NCAS), this book is ideal for pre-service and in-service secondary art educators, as well as for use in art education teacher certification courses that focus on secondary methods, and art education graduate classes in assessment.

The Greedy Triangle

The Greedy Triangle PDF Author: Marilyn Burns
Publisher: Scholastic Inc.
ISBN: 9780590489911
Category : Education
Languages : en
Pages : 48

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Book Description
In this introduction to polygons, a triangle convinces a shapeshifter to make him a quadrilateral and later a pentagon, but discovers that where angles and sides are concerned, more isn't always better.

Artificial Intelligence in Design ’92

Artificial Intelligence in Design ’92 PDF Author: John S. Gero
Publisher: Springer Science & Business Media
ISBN: 9401127875
Category : Technology & Engineering
Languages : en
Pages : 906

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Book Description
Design has now become an important research topic in engineering and architecture. Design is one of the keystones to economic competitiveness and the fundamental precursor to manufacturing. The development of computational models founded on the artificial intelligence paradigm has provided an impetus for current design research. This volume contains contributions from the Second International Conference on Artificial Intelligence in Design held in June 1992 in Pittsburgh. They represent the state-of-the-art and the cutting edge of research and development in this field. They are of particular interest to researchers, developers and users of computer systems in design. This volume demonstrates both the breadth and depth of artificial intelligence in design and points the way forward for our understanding of design as a process and for the development of computer-based tools to aiddesigners.

Math through Children's Literature

Math through Children's Literature PDF Author: Kathryn Braddon
Publisher: Bloomsbury Publishing USA
ISBN: 0313077800
Category : Language Arts & Disciplines
Languages : en
Pages : 237

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Book Description
Use children's literature as a springboard to successful mathematical literacy. This book contains summaries of books, each related to the NCTM Standards, that will help children gain familiarity with and an understanding of mathematical concepts. Each chapter has classroom-tested activities and a bibliography of additional books to further expand student learning.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 464

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Book Description


ENC Focus

ENC Focus PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 96

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Book Description