Building Proportional Reasoning Across Grades And Math Strands K 8 PDF Download

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

Building Proportional Reasoning Across Grades and Math Strands, K-8
Author: Marian Small
Publisher: Teachers College Press
Total Pages: 129
Release: 2015-04-10
Genre: Education
ISBN: 0807756601

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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

The School Leader’s Guide to Building and Sustaining Math Success
Author: Marian Small
Publisher: ASCD
Total Pages: 184
Release: 2018-07-30
Genre: Education
ISBN: 1416626387

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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

Moving Math
Author: Mary Fiore
Publisher: Pembroke Publishers Limited
Total Pages: 128
Release: 2017-10-17
Genre: Education
ISBN: 1551389258

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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

Teaching Math Online
Author: Marian Small
Publisher: Teachers College Press
Total Pages: 89
Release: 2020
Genre: Education
ISBN: 0807779342

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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

Math That Matters
Author: Marian Small
Publisher: Teachers College Press
Total Pages:
Release: 2019-05-17
Genre: Education
ISBN: 080777779X

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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

Good Questions
Author: Marian Small
Publisher:
Total Pages: 305
Release: 2020-10-02
Genre: Education
ISBN: 0807764663

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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

Fun & Fundamental Math for Young Children
Author: Marian Small
Publisher: Teachers College Press
Total Pages: 225
Release: 2018-03-30
Genre: Education
ISBN: 0807759112

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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.


It's All Connected

It's All Connected
Author: Carmen Whitman
Publisher: Math Solutions
Total Pages: 271
Release: 2010-09-01
Genre: Education
ISBN: 9781935099246

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"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

Developing Essential Understanding of Ratios, Proportions, and Proportional Reasoning for Teaching Mathematics in Grades 6-8
Author: Joanne Elizabeth Lobato
Publisher:
Total Pages: 0
Release: 2010
Genre: Curriculum planning
ISBN: 9780873537896

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How do you refute the erroneous claim that all ratios are fractions? This book goes beyond a simple introduction to ratios, proportions, and proportional reasoning. It will help broaden and deepen your mathematical understanding of one of the most challenging topics for students-and teachers-to grasp. It will help you engage your students, anticipate their perplexities, help them avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing your students' understanding of the topic.


Proportional Reasoning

Proportional Reasoning
Author: Sheldon Erickson
Publisher: Aims Educational Foundation
Total Pages: 212
Release: 2000
Genre: Mathematics
ISBN: 9781881431787

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