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

Published: 2015-04-10

Total Pages: 129

ISBN-13: 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.

Moving Math
Moving Math

Author: Mary Fiore

Publisher: Pembroke Publishers Limited

Published: 2017-10-17

Total Pages: 125

ISBN-13: 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

Published: 2020

Total Pages: 89

ISBN-13: 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

Published: 2019-05-17

Total Pages: 193

ISBN-13: 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:

Published: 2020-10-02

Total Pages: 305

ISBN-13: 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

Published: 2018-03-30

Total Pages: 225

ISBN-13: 0807759112

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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.

More Good Questions
More Good Questions

Author: Marian Small

Publisher: Teachers College Press

Published: 2022

Total Pages: 290

ISBN-13: 0807780987

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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.

Focus in High School Mathematics
Focus in High School Mathematics

Author: Marilyn E. Strutchens

Publisher:

Published: 2011

Total Pages: 119

ISBN-13: 9780873536806

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No matter what the mathematics class, infusing reasoning and sense making into the daily mathematical experience of all high school students is crucial. ""All high school students"" includes low-performing students; gifted students; students of different racial, sociolinguistic and socioeconomic status; students with disabilites and students who are mathematically talented. The writers of this volume hope to further the dialogue about how to create for all students empowering mathematical experiences that incorporate reasoning and sense making.

Helping Children Learn Mathematics
Helping Children Learn Mathematics

Author: National Research Council

Publisher: National Academies Press

Published: 2002-07-31

Total Pages: 53

ISBN-13: 0309131987

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Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.