Teaching and Learning Proof Across the Grades PDF Download
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Author: Despina A. Stylianou
Publisher: Routledge
ISBN: 1135856753
Category : Education
Languages : en
Pages : 408
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Book Description
A Co-Publication of Routledge for the National Council of Teachers of Mathematics (NCTM) In recent years there has been increased interest in the nature and role of proof in mathematics education; with many mathematics educators advocating that proof should be a central part of the mathematics education of students at all grade levels. This important new collection provides that much-needed forum for mathematics educators to articulate a connected K-16 "story" of proof. Such a story includes understanding how the forms of proof, including the nature of argumentation and justification as well as what counts as proof, evolve chronologically and cognitively and how curricula and instruction can support the development of students’ understanding of proof. Collectively these essays inform educators and researchers at different grade levels about the teaching and learning of proof at each level and, thus, help advance the design of further empirical and theoretical work in this area. By building and extending on existing research and by allowing a variety of voices from the field to be heard, Teaching and Learning Proof Across the Grades not only highlights the main ideas that have recently emerged on proof research, but also defines an agenda for future study.
Author: Despina A. Stylianou
Publisher: Routledge
ISBN: 1135856753
Category : Education
Languages : en
Pages : 408
Get Book Here
Book Description
A Co-Publication of Routledge for the National Council of Teachers of Mathematics (NCTM) In recent years there has been increased interest in the nature and role of proof in mathematics education; with many mathematics educators advocating that proof should be a central part of the mathematics education of students at all grade levels. This important new collection provides that much-needed forum for mathematics educators to articulate a connected K-16 "story" of proof. Such a story includes understanding how the forms of proof, including the nature of argumentation and justification as well as what counts as proof, evolve chronologically and cognitively and how curricula and instruction can support the development of students’ understanding of proof. Collectively these essays inform educators and researchers at different grade levels about the teaching and learning of proof at each level and, thus, help advance the design of further empirical and theoretical work in this area. By building and extending on existing research and by allowing a variety of voices from the field to be heard, Teaching and Learning Proof Across the Grades not only highlights the main ideas that have recently emerged on proof research, but also defines an agenda for future study.
Author: Lucy West
Publisher: Taylor & Francis
ISBN: 1003841643
Category : Education
Languages : en
Pages : 124
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Book Description
For more than 20 years, Lucy West has been studying mathematical classroom discourse. She believes that teachers need to understand what their students are thinking as they grapple with rich mathematical tasks and that the best way to do so is through talking and listening. In this video-rich edition of Adding Talk to the Equation: Discussions and Discovery in Mathematics, she invites teachers into real-life classrooms where all students stay in the game, stay motivated about learning, and ultimately deepen their understanding. Designed for math teachers and coaches in grades 18, this self-study guide showcases elementary and middle school classrooms where teachers inspire even the most reluctant students to share their ideas. Through the stories of skilled teachers, West offers play-by-play commentary as they get more comfortable with new talk moves and learn to tune in and respond to students' math conversations. Although these discussions occur in math class, the strategies can be used to create a respectful, productive environment for any subject area. This video-based resource examines the importance of creating a safe learning environment; the value of thinking, reasoning, and questioning; the role of active, accountable listening; and the necessity of giving all students a you can do this message. West also emphasizes that slowing down, even in the face of time constraints, is crucial for creating a classroom where all students feel they have something to contribute. This guide includes transcripts of the case studies, with insightful commentary from West that gives you a window into her thinking and the complexities of the work she is doing with teachers, as well as her reflections on missed opportunities.
Author: William Jacob
Publisher: Firsthand Books
ISBN: 9780325010243
Category : Education
Languages : en
Pages : 0
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Book Description
"Contexts for Learning Mathematics" series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
Author: Mark Twain
Publisher: BoD – Books on Demand
ISBN: 3752523328
Category : Fiction
Languages : en
Pages : 194
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Book Description
Reprint of the original, first published in 1867.
Author: John Snape
Publisher: Lulu.com
ISBN: 1304925226
Category : Law
Languages : en
Pages : 378
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Book Description
The California Fish and Game Code 2014 contains all the text of the relevant law.
Author:
Publisher: Carson-Dellosa Publishing
ISBN: 1483833194
Category : Juvenile Nonfiction
Languages : en
Pages : 548
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Book Description
FIFTH GRADE: Covers basic concepts such as multiples, factors, area, research, and more and develops the skills your child needs for grade-level success. INCLUDES: Fun, educational activities in phonics, reading, language arts, writing, and math, plus review lessons, teaching suggestions to extend learning, and answer keys. ALL-INCLUSIVE: This all-in-one comprehensive resource provides an entire curriculum of instruction that improves academic performance – updated with relevant, high-interest reading passages and artwork. HOMESCHOOL FRIENDLY: This elementary workbook for kids is a great learning resource for at home or in the classroom and allows parents to supplement their children's learning in the areas they need it most. WHY CARSON DELLOSA: Founded by two teachers more than 45 years ago, Carson Dellosa believes that education is everywhere and is passionate about making products that inspire life's learning moments.
Author: John Snape
Publisher: Lulu.com
ISBN: 1329901703
Category :
Languages : en
Pages : 492
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Book Description
The complete text of the California Fish and Game Code for 2016.
Author: Eve Bunting
Publisher: Turtleback Books
ISBN: 9780613538657
Category :
Languages : en
Pages : 0
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Book Description
For use in schools and libraries only. Billy is disappointed when his father doesn't show up to help him catch a frog for the frog-jumping competition at school.
Author: Norm Heaton
Publisher: Page Publishing Inc
ISBN: 1645443973
Category : Biography & Autobiography
Languages : en
Pages : 910
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Book Description
You are holding the only comprehensive history of the early days of the sport of skydiving yet published. It is the story of not just one skydiver but the story of many, the true pioneers of the sport. Just as important this book includes a complete history of the national organization established for the express purpose of promoting sport parachuting. While this history is restricted to a short fifteen years (1961-1975), those years were the most productive, most far-reaching, and the most exciting for the fledgling idea of jumping out of perfectly good airplanes for the sheer joy of it all, eventually establishing the sport of skydiving as an integral part of the world of aviation sports. This book tells the story of those formative years with details of battles fought to maintain freedom of the skies for all parachutists when government and corporate interests made numerous attempts to severely restrict the right of skydivers to use our nation's airspace. This story is told by a man who dedicated his life to the advancement of the sport, serving for twelve years as the chief executive officer of the national organization for skydivers, the Parachute Club of America / US Parachute Association. The reader will embark on a most exciting journey, a journey not told before, continually laced with personal stories that will touch your heart, make you smile, and occasionally make you laugh. This book contains over 400 photographs and 1,500 names of people from around the world who participated in that wonderful and exhilarating sport called skydiving.
Author: DK Eyewitness
Publisher: Penguin
ISBN: 0744023262
Category : Travel
Languages : en
Pages : 632
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Book Description
DK Eyewitness Travel Guide: California will lead you straight to the best attractions California has to offer and provides the insider travel tips you need, whether you're making the most of the nightlife or exploring historic towns and museums.Fully illustrated, it covers all the major cities and sights, from Los Angeles, southern California, and the national parks to San Francisco and the bay area to California wine country, the north, and more. DK Eyewitness Travel Guide: California explores the culture, history, architecture, wildlife, beaches, and scenic walks and drives. You'll find 3-D illustrated cutaways and floor plans of all the must-see sights, as well as street maps and reliable information for getting around. Plus, this guidebook is packed with comprehensive listings of the best hotels, restaurants, shops, and nightlife in each area for all budgets. With hundreds of full-color photographs, hand-drawn illustrations, and custom maps that brighten every page, DK Eyewitness Travel Guide: California truly shows you this state as no one else can.
