Building Proportional Reasoning Across Grades And Math Strands K 8

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Building Proportional Reasoning Across Grades and Math Strands, K-8

Marian Small
Building Proportional Reasoning Across Grades and Math Strands K 8 Book PDF

Author : Marian Small
Publisher : Teachers College Press
Page : 129 pages
File Size : 40,7 Mb
Release : 2015-04-10
Category : Education
ISBN : 9780807756607

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Building Proportional Reasoning Across Grades and Math Strands, K-8 by Marian Small Pdf

Although proportional reasoning is not formally introduced as a topic in the Common Core and other mathematics curricula until 6th grade, introducing its fundamental ideas in the early grades helps students develop essential skills in ratios, percentages, and other proportional representations when they reach the upper grades. The author takes this complex subject and crafts examples and questions that help teachers see the larger purpose in teaching concepts, such as unitizing, and how that understanding is essential for more complex ideas, such as ratios. Teachers and vertical teams can see how the concepts can build year after year. This new resource by well-known professional developer Marian Small suggests questions that are both interesting for students and useful for providing diagnostic information to teachers. Chapters are organized by grade level (K-8) around the Common Core State Standards for Mathematics to help teachers use the resource more easily.

The School Leader’s Guide to Building and Sustaining Math Success

Marian Small,Doug Duff
The School Leader s Guide to Building and Sustaining Math Success Book PDF

Author : Marian Small,Doug Duff
Publisher : ASCD
Page : 184 pages
File Size : 47,8 Mb
Release : 2018-07-30
Category : Education
ISBN : 9781416626381

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The School Leader’s Guide to Building and Sustaining Math Success by Marian Small,Doug Duff Pdf

The pressure is on. Principals, expected to improve math performance at their schools, often don’t know where to begin—as they may be uncomfortable with math themselves or believe that their schools are already doing all that they can. How can K–12 school leaders recognize and ensure that their school or district is supporting good math instruction? Marian Small and Doug Duff provide the answer to that and other questions in The School Leader’s Guide to Building and Sustaining Math Success. Drawing on their vast experience working with administrators, Small and Duff provide practical advice and helpful tools for improving math instruction. They guide you through the initial steps of establishing a strong math culture, developing common tasks, and getting buy-in, and then offer specific suggestions for monitoring, supporting, and sustaining improvement. You’ll learn what sort of data to collect, what to look for in the classroom, what to listen for in conversations with teachers and students, and how to deal with reluctant staff or parents. With its real-world examples and insights, this book is essential reading for any principal who wants to bring about positive change and real growth in the teaching and learning of math in their school.

Moving Math

Mary Fiore,Maria Luisa Lebar
Moving Math Book PDF

Author : Mary Fiore,Maria Luisa Lebar
Publisher : Pembroke Publishers Limited
Page : 128 pages
File Size : 52,5 Mb
Release : 2017-10-17
Category : Education
ISBN : 9781551389257

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Moving Math by Mary Fiore,Maria Luisa Lebar Pdf

Focus on “moving” the teaching and learning of mathematics by shifting instruction and assessment practices. This unique book uses critical thinking skills — inferring and interpreting, analyzing, evaluating, making connections, synthesizing, reasoning and proving, and reflecting — to help students make sense of mathematical concepts and support numeracy.

Teaching Math Online

Marian Small
Teaching Math Online Book PDF

Author : Marian Small
Publisher : Teachers College Press
Page : 89 pages
File Size : 46,7 Mb
Release : 2020
Category : Education
ISBN : 9780807779347

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Teaching Math Online by Marian Small Pdf

Learn how to provide rich, online mathematics instruction that optimizes the limited time you have with students, while doing it in a way that does not overwhelm parents. This practical resource: highlights the value of open questions for differentiating instruction in the K–8 virtual environment; shows teachers how to adapt the materials that they are already using; illustrates how students can incorporate items from their home environment into math lessons; demonstrates how to build and maintain community with students online; explores the logistics of independent meetings with students and parents; provides samples and directions for creating tools like number lines and manipulatives at home; and much more. Featuring professional developer Marian Small’s special brand of lucid explanation of difficult concepts, engaging teaching examples, troubleshooting tips, and formative assessments, Teaching Math Online is a must-have for anyone teaching math either wholly online or in blended classrooms. Book Features: Provides immediate assistance for teachers with little or no experience teaching math online. Offers specific suggestions for supporting parents in their new role as the link between teacher and student. Addresses both logistical and pedagogical issues important to successful online learning. Provides online problem visuals for teachers to use with students. Includes reproducibles for creating math manipulatives and tools. Discusses distanced formative assessment. Includes access to exemplar videos for communicating with parents, and for providing students with spoken instruction that they can save and replay.

Math That Matters

Marian Small
Math That Matters Book PDF

Author : Marian Small
Publisher : Teachers College Press
Page : 128 pages
File Size : 50,5 Mb
Release : 2019-05-17
Category : Education
ISBN : 9780807777794

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Math That Matters by Marian Small Pdf

In this insightful math resource for grades 3–8, popular professional developer Marian Small helps teachers understand and facilitate meaningful assessments to advance student understandings. Small shows new and veteran teachers how to do three fundamental things well: identify the most important math to assess; construct meaningful assessments—both formative and summative—to measure student understanding; and provide students with feedback that is clear, timely, and specific. Examples for each grade level are provided, along with details on how to pose questions, analyze errors, and help students understand and learn from their mistakes. The book provides specific guidance for when and how to offer feedback on both correct and incorrect answers in order to advance students’ mathematical thinking. Like other Marian Small bestsellers, Math That Matters combines her special brand of lucid explanation of difficult concepts with fresh and engaging activities. “Our understanding of the power of assessment to improve learning has deepened significantly in the past two decades. . . . Marian Small draws upon the critical research behind this understanding to explain what effective practice looks like. It is essential reading for all elementary educators and has the potential to profoundly affect the quality of mathematics assessment in our schools.” —From the Foreword by Damian Cooper, president, Plan Teach Assess “Teachers are often clamoring for concise classroom assessments that can capture students’ conceptual understanding. Clamor no more! Math That Matters is a timely response to that need. Marian Small removes the mystery of how to engage students in learning while collecting assessment data that drive next instructional plans.” —Karen Karp, Johns Hopkins University “The beauty of this book is that it is simple enough for brand new teachers and complex enough for experienced teachers. The author offers an amazing gift by linking assessment ideas directly to common state standards.” —Felicia Darling, Santa Rosa Junior College

Good Questions

Marian Small
Good Questions Book PDF

Author : Marian Small
Publisher : Unknown
Page : 305 pages
File Size : 49,7 Mb
Release : 2020-10-02
Category : Education
ISBN : 9780807764664

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Good Questions by Marian Small Pdf

Now in its Fourth Edition--with more than 50 new questions and a new chapter on financial literacy--this bestselling resource helps experienced and novice teachers effectively and efficiently differentiate mathematics instruction in grades K-8. Math education expert Marian Small shows teachers how to get started and become expert at using two powerful and universal strategies: Open Questions and Parallel Tasks. This edition is even easier for teachers to use in all quality state standards environments, including direct links to content standards and standards for mathematical practice. Parallel tasks and question examples are provided at each grade band: K-2, 3-5, and 6-8. Along with each example, the text describes how teachers can evoke productive conversations that meet the needs of a broad range of learners. Book Features: New tasks and questions to develop financial literacy. Connection of tasks and questions to standards and mathematical big ideas. About 500 tasks and questions that teachers can adapt or use as-is. Teaching tips and task variations. A template to help teachers build new tasks. "Look-fors" to see student thinking and diagnose difficulties. Guidance for using follow-up questions and math conversations to create a rich math classroom.

Fun & Fundamental Math for Young Children

Marian Small
Fun Fundamental Math for Young Children Book PDF

Author : Marian Small
Publisher : Teachers College Press
Page : 225 pages
File Size : 42,9 Mb
Release : 2018-03-30
Category : Education
ISBN : 9780807759110

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Fun & Fundamental Math for Young Children by Marian Small Pdf

This book focuses on the most important concepts and skills needed to provide early learners (preK-2) with a strong foundation in mathematics, in ways that are fun for both children and educators! Professional developer Marian Small provides sample activities and lessons, troubleshooting tips, and formative assessments, and much more.

More Good Questions

Marian Small,Amy Lin
More Good Questions Book PDF

Author : Marian Small,Amy Lin
Publisher : Teachers College Press
Page : 290 pages
File Size : 54,7 Mb
Release : 2022
Category : Education
ISBN : 9780807780985

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More Good Questions by Marian Small,Amy Lin Pdf

Learn how to differentiate math instruction to help all students be successful learners in the secondary mathematics classroom. Featuring 89 new questions, this revised edition uses two powerful and universally applicable strategies—Open Questions and Parallel Tasks—to help teachers differentiate instruction with less difficulty and greater success. This popular book shows teachers how to get started and become expert with these strategies, demonstrating how to use more inclusive learning conversations to promote broader student participation and how to formatively assess understanding. Strategies and examples are organized around Big Ideas and reference common standards. With particular emphasis on algebra, chapters also address number and operations, geometry, measurement including trigonometry, and data analysis and probability. Updated with many new examples and expanded guidelines for teachers to create their own open tasks and questions, More Good Questions, Second Edition is designed to allow students to respond from their own expertise level and to also come together as a math community for the conceptual conversation around a math problem. Book Features: Underscores the rationale for differentiating instruction (DI) with nearly 300 specific examples for grades 6–12 math.Describes easy-to-implement strategies designed to overcome the most common DI problems that teachers encounter.Offers questions and tasks that teachers and coaches can adopt immediately or use as models to create their own, along with scaffolding and consolidating questions.Includes Teaching Tips sidebars and an organizing template at the end of each chapter to help teachers build new tasks and open questions.Shows how to create a more inclusive classroom learning community with mathematical talk that engages participants from all levels. PROFESSIONAL DEVELOPMENT: Visit Marian Small’s website onetwoinfinity.ca for in-person and online professional development.

It's All Connected

Carmen Whitman
It s All Connected Book PDF

Author : Carmen Whitman
Publisher : Math Solutions
Page : 271 pages
File Size : 42,9 Mb
Release : 2010-09-01
Category : Education
ISBN : 1935099248

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It's All Connected by Carmen Whitman Pdf

"Presents 18 proportional reasoning lessons for middle-school students; each lesson contains standards correlations, vocabulary, teacher notes, student connections, and reproducible pages, with the goal of seeing inclusive proportionality as the big idea that helps educators to make a unifying connection across all mathematics strands"--Provided by publisher.

Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8

Joanne Elizabeth Lobato,Amy B. Ellis,Randall Inners Charles
Developing Essential Understanding of Ratios Proportions and Proportional Reasoning for Teaching Mathematics in Grades 6 8 Book PDF

Author : Joanne Elizabeth Lobato,Amy B. Ellis,Randall Inners Charles
Publisher : National Council of Teachers of English
Page : 0 pages
File Size : 40,8 Mb
Release : 2010
Category : Curriculum planning
ISBN : 0873536223

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Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8 by Joanne Elizabeth Lobato,Amy B. Ellis,Randall Inners Charles Pdf

"A series for teaching mathematics."--P. [1] of cover.

Eyes on Math

Marian Small
Eyes on Math Book PDF

Author : Marian Small
Publisher : Teachers College Press
Page : 241 pages
File Size : 42,5 Mb
Release : 2015-04-25
Category : Education
ISBN : 9780807772362

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Eyes on Math by Marian Small Pdf

This new book is an exciting follow-up to the authors’ bestsellers on differentiated math instruction, Good Questions and More Good Questions. Eyes on Math is a unique teaching resource that provides engaging, full-color graphics and pictures with text showing teachers how to use each image to stimulate mathematical teaching conversations around key K–8 concepts. Teachers using the book can download the images for projection onto classroom white boards or screens. The questions and answers will help both students and teachers look more deeply and see the math behind the math! For each of more than 120 visuals, the text identifies the key math concept and the Common Core State Standard being addressed and then provides teachers with: Mathematical background and context.Questions to use with students to lead the instructional conversation.Expected answers and explanations of why each question is important.Follow-up extensions to solidify and assess student understanding. This book will be useful to a broad range of teachers who will find new ways to clarify concepts that students find difficult. It can be used as a resource to prepare teachers for the higher mathematical thinking requirements of the CCSS Mathematical Practices. It will also be an invaluable resource for teachers working with students with low reading ability, including English language learners and special education students. “This book provides a way for both teachers and students to get used to talking about mathematics in nonthreatening, open-ended ways. The author’s friendly explanations of the mathematical ideas the pictures are intended to surface give teachers who are less confident about the conceptual aspects of mathematics the support they need to facilitate less-scripted mathematical discourse with their students.” —Lucy West, education consultant Praise for Good Questions and More Good Questions! “A must for any educator who is serious about reaching more students more often and achieving more positive results.” —Resources for the Mathematics Educator “A valuable book for mathematics teachers, teacher educators, and faculty involved in differentiated instruction.” —Choice “A great resource.” —Mathematics Teaching in the Middle School “I highly recommend this user-friendly resource for all mathematics teachers.” —Teaching Children Mathematics

Common Core Standards and Mathematics Grades 6 -12: Strategies for Student Success

Toby Karten
Common Core Standards and Mathematics Grades 6 12 Strategies for Student Success Book PDF

Author : Toby Karten
Publisher : National Professional Resources Inc./Dude Publishing
Page : 6 pages
File Size : 50,8 Mb
Release : 2013-01-01
Category : Education
ISBN : 9781935609841

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Common Core Standards and Mathematics Grades 6 -12: Strategies for Student Success by Toby Karten Pdf

Common Core Standards & Mathematics: Strategies for Student Success (Grades 6-12) is an easy access, 6-page (tri-fold) laminated guide by Toby Karten. This classroom tool is designed to help middle and high school teachers understand the organization and application of the Common Core State Standards for Mathematics (CCSS.M), which define the grade-specific knowledge and procedural skills students are expected to achieve in their study of mathematics. Karten, an expert on inclusion, notes that the standards apply to all students¿including students with disabilities receiving special education services¿and provides ideas for helping diverse students meet grade-level standards. This comprehensive guide defines key terms, such as domains and clusters, and provides multiple quick-reference charts, including ones that that depict * Grades K-5 domains, Grades 6-8 domains, Grades 9-12 Categories * The Standards for Mathematical Practice (CCSSMP) and grade-specific student scenarios * The Standards for Mathematical Content (CCSS.Math.Content.HS) The guide also offers ten tips for connecting math standards to students¿ lives/interests, with detailed examples provided for applying each tip to various content standards. In addition, a valuable list of additional online and print resources for secondary teachers is provided.

The Common Core Mathematics Standards

Ted H. Hull,Ruth Harbin Miles,Don S. Balka
The Common Core Mathematics Standards Book PDF

Author : Ted H. Hull,Ruth Harbin Miles,Don S. Balka
Publisher : Corwin Press
Page : 161 pages
File Size : 47,8 Mb
Release : 2012-04-17
Category : Education
ISBN : 9781452276458

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The Common Core Mathematics Standards by Ted H. Hull,Ruth Harbin Miles,Don S. Balka Pdf

Transform math instruction with effective CCSS leadership The Common Core State Standards for mathematics describe the “habits of mind” that teachers should develop in their students without which the content standards cannot be successfully implemented. This professional development resource helps principals and math leaders grapple with the changes that must be addressed so that teachers can implement the practices required by the CCSS. Included are: A clear explanation of the CCSS for Mathematical Practice Techniques to help leadership teams collaboratively implement and maintain the new standards A proficiency matrix with examples of instructional strategies for helping students reach competency in each standard

Navigating Through Problem Solving and Reasoning in Grade 6

Denisse Rubilee Thompson
Navigating Through Problem Solving and Reasoning in Grade 6 Book PDF

Author : Denisse Rubilee Thompson
Publisher : Unknown
Page : 132 pages
File Size : 42,8 Mb
Release : 2009
Category : Education
ISBN : STANFORD:36105124194163

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Navigating Through Problem Solving and Reasoning in Grade 6 by Denisse Rubilee Thompson Pdf

Presents hands-on investigations that nuture reasoning and problem-solving strategies. Students have opportunities to reason about parts of a whole, analyze patterns of growth, discover area formulas for familiar shapes, explore scale factors and similar figures, and analyze a set of date to solve a real-world problem.

Uncovering Student Thinking About Mathematics in the Common Core, Grades 6-8

Cheryl Rose Tobey,Carolyn B. Arline
Uncovering Student Thinking About Mathematics in the Common Core Grades 6 8 Book PDF

Author : Cheryl Rose Tobey,Carolyn B. Arline
Publisher : Corwin Press
Page : 233 pages
File Size : 44,9 Mb
Release : 2013-10-11
Category : Education
ISBN : 9781452230887

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Uncovering Student Thinking About Mathematics in the Common Core, Grades 6-8 by Cheryl Rose Tobey,Carolyn B. Arline Pdf

A guide to quickly and reliably uncovering common math misconceptions in Grades 6-8 with convenient and easy-to-implement diagnostic tools.