Building Proportional Reasoning Across Grades And Math Strands K 8
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Building Proportional Reasoning Across Grades And Math Strands K 8
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Author : Marian Small
language : en
Publisher: Teachers College Press
Release Date : 2015-04-10
Building Proportional Reasoning Across Grades And Math Strands K 8 written by Marian Small and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-10 with Education categories.
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.
Understanding The Math We Teach And How To Teach It K 8
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Author : Small Marian
language : en
Publisher: Taylor & Francis
Release Date : 2025-08-26
Understanding The Math We Teach And How To Teach It K 8 written by Small Marian and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-26 with Education categories.
Dr. Marian Small has written a landmark book for a wide range of educational settings and audiences, from pre-service math methods courses to ongoing professional learning for experienced teachers. Understanding the Math We Teach and How to Teach It, K-8 focuses on the big mathematical ideas in elementary and middle school grade levels and shows how to teach those concepts using a student-centered, problem-solving approach. Comprehensive and Readable: Dr. Small helps all teachers deepen their content knowledge by illustrating core mathematical themes with sample problems, clear visuals, and plain language Big Focus on Student Thinking: The book's tools, models. and discussion questions are designed to understand student thinking and nudge it forward. Particularly popular features include charts listing common student misconceptions and ways to address them, a table of suggested manipulatives for each topic, and a list of related children's book Implementing Standards That Make Sense: By focusing on key mathematics principles, Understanding the Math We Teach and How to Teach It, K-8 helps to explain the "whys" of state standards and provides teachers with a deeper understanding of number sense, operations, algebraic thinking, geometry, and other critical topics Dr. Small, a former dean with more than 40 years in the field, conceived the book as an essential guide for teachers throughout their career: "Many teachers who teach at the K-8 level have not had the luxury of specialist training in mathematics, yet they are expected to teach an increasingly sophisticated curriculum to an increasingly diverse student population in a climate where there are heightened public expectations. They deserve help."
More Good Questions
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Author : Marian Small
language : en
Publisher: Teachers College Press
Release Date : 2022
More Good Questions written by Marian Small and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Education categories.
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.
Moving Math
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Author : Mary Fiore
language : en
Publisher: Pembroke Publishers Limited
Release Date : 2017-10-17
Moving Math written by Mary Fiore and has been published by Pembroke Publishers Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-17 with Education categories.
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
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Author : Marian Small
language : en
Publisher: Teachers College Press
Release Date : 2020
Teaching Math Online written by Marian Small and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Education categories.
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
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Author : Marian Small
language : en
Publisher: Teachers College Press
Release Date : 2019-05-17
Math That Matters written by Marian Small and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-17 with Education categories.
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
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Author : Marian Small
language : en
Publisher:
Release Date : 2020-10-02
Good Questions written by Marian Small and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-02 with Education categories.
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
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Author : Marian Small
language : en
Publisher: Teachers College Press
Release Date : 2018-03-30
Fun Fundamental Math For Young Children written by Marian Small and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-30 with Education categories.
This book focuses on the most important concepts and skills needed to provide early learners (preK2) 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.
Developing Essential Understanding Of Ratios Proportions And Proportional Reasoning For Teaching Mathematics In Grades 6 8
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Author : Joanne Elizabeth Lobato
language : en
Publisher: National Council of Teachers of English
Release Date : 2010
Developing Essential Understanding Of Ratios Proportions And Proportional Reasoning For Teaching Mathematics In Grades 6 8 written by Joanne Elizabeth Lobato and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Curriculum planning categories.
"A series for teaching mathematics."--P. [1] of cover.
A Focus On Multiplication And Division
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Author : Elizabeth T. Hulbert
language : en
Publisher: Taylor & Francis
Release Date : 2023-07-04
A Focus On Multiplication And Division written by Elizabeth T. Hulbert and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-04 with Education categories.
The second edition of this book offers a unique approach to making mathematics education research on the teaching and learning of multiplication and division concepts readily accessible and understandable to preservice and in-service K-6 mathematics teachers. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers’ experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction, and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP) and updated throughout, this engaging and easy-to-use resource also features the following: New chapters on the OGAP Multiplicative Reasoning Framework and Learning Progressions and Using the OGAP Multiplicative Progression to inform instruction and support student learning In-chapter sections on how Common Core State Standards for Math are supported by math education research Case Studies focusing on a core mathematical idea and different types of instructional responses to illustrate how teachers can elicit evidence of student thinking and use that information to inform instruction Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of multiplication and division Looking Back Questions at the end of each chapter allow teachers to analyze student thinking and to consider instructional strategies for their own students Instructional Links to help teachers relate concepts from each chapter to their own instructional materials and programs Accompanying online Support Material that includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression A Focus on Multiplication and Division is part of the popular A Focus on . . . collection, designed to aid the professional development of preservice and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and fractions, this updated new edition bridges the gap between what math education researchers know and what teachers need to know to better understand evidence in student work and make effective instructional decisions.