The Mathematics Lesson-Planning Handbook, Grades 3-5

The Mathematics Lesson-Planning Handbook, Grades 3-5

Author: Ruth Harbin Miles

Publisher: Corwin Press

Published: 2018-07-13

Total Pages: 249

ISBN-13: 150638787X

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"This book brings together the best of Visible Learning and the teaching of mathematics. The chapters on learning intentions, success criteria, misconceptions, formative evaluation, and knowing thy impact are stunning. Rich in exemplars, grounded in research about practice, and with the right balance about the surface and deep learning in math, it′s a great go-to book for all who teach mathematics." —John Hattie, Laureate Professor, Deputy Dean of MGSE, Director of the Melbourne Education Research Institute, Melbourne Graduate School of Education YOU are the architect in the mathematics classroom. When it comes to mathematics lessons, do you sometimes feel overly beholden to the required texts from which you teach? Do you wish you could break the mold, but feel like you get conflicting guidance on the "right" things to do? How often do you find yourself in the last-minute online scramble for a great task activity that will capture your students′ interest and align to your state standards? In The Mathematics Lesson-Planning Handbook, Grades 3–5: Your Blueprint for Building Cohesive Lessons, you’ll learn the streamlined decision-making processes that will help you plan the focused, research-based, standards-aligned lessons your students need. This daily reference offers practical guidance for when and how to pull together mathematics routines, resources, and effective teaching techniques into a coherent and manageable set of lesson plans. This resource will Lead teachers through a process of lesson planning based on various learning objectives Set the stage for lesson planning using relatable vignettes Offer sample lesson plans for Grades 3–5 Create opportunities to reflect on each component of a mathematics lesson Suggest next steps for building a unit from the lessons Provide teachers the space and tools to create their own lesson plans going forward Based on years of classroom experience from seasoned mathematics educators, this book brings together the just-in-time resources and practical advice you need to make lesson planning simple, practical, and doable. From laying a solid foundation to choosing the right materials, you’ll feel confident structuring lessons that lead to high student achievement.


Mathematize It! [Grades 3-5]

Mathematize It! [Grades 3-5]

Author: Sara Delano Moore

Publisher: Corwin Press

Published: 2019-09-04

Total Pages: 188

ISBN-13: 1506395252

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"The list of math books to truly synthesize what we know so far and what we need to know is a very short and exclusive list. Well, you can confidently add Mathematize It to this collection. Written by three of the most respected math educators today, the book zeros in on that often poorly traveled journey between the question and answer in problem solving. Mathematize It will be your go-to resource to install the mathematical play revolution in elementary classes everywhere!" Suni Singh Author of Pi of Life: the Hidden Happiness of Mathematics and Math Recess: Playful Learning in an Age of Disruption Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 3-5 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades 3–5 • Offers a systematic mathematizing process for students to use when solving word problems • Gives practice opportunities and dozens of problems to leverage in the classroom • Provides specific examples of questions and explorations for all four operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, and decimals • Demonstrates the use of concrete manipulatives to model problems with dozens of short videos • Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!


Mine the Gap for Mathematical Understanding, Grades 3-5

Mine the Gap for Mathematical Understanding, Grades 3-5

Author: John SanGiovanni

Publisher: Corwin Press

Published: 2016-09-16

Total Pages: 385

ISBN-13: 1506375502

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Being an effective math educator is one part based on the quality of the tasks we give, one part how we diagnose what we see, and one part what we do with what we find. Yet with so many students and big concepts to cover, it can be hard to slow down enough to look for those moments when students’ responses tell us what we need to know about next best steps. In this remarkable book, John SanGiovanni helps us value our students’ misconceptions and incomplete understandings as much as their correct ones—because it’s the gap in their understanding today that holds the secrets to planning tomorrow’s best teaching. SanGiovanni lays out 180 high-quality tasks aligned to the standards and big ideas of Grades 3-5 mathematics, including addition and subtraction of multi-digit whole numbers, multiplication and division of single and multi-digit whole numbers, foundational fraction concepts, foundational decimal concepts, and operations with fractions and decimals. The tasks are all downloadable so you can use or modify them for instruction and assessment. Each big idea offers a starting task followed by: what makes it a high-quality task what you might anticipate before students work with the task 4 student examples of the completed task showcasing a distinct "gap" commentary on what precisely counts for mathematical understanding and the next instructional steps commentary on the misconception or incomplete understanding so you learn why the student veered off course three additional tasks aligned to the mathematics topic and ideas about what students might do with these additional tasks. It’s time to break our habit of rushing into re-teaching for correctness and instead get curious about the space between right and wrong answers. Mine the Gap for Mathematical Understanding is a book you will return to again and again to get better at selecting tasks that will uncover students’ reasoning—better at discerning the quality and clarity of students’ understanding—and better at planning teaching based on the gaps you see.


Your Mathematics Standards Companion, Grades 3-5

Your Mathematics Standards Companion, Grades 3-5

Author: Linda M. Gojak

Publisher: Corwin Press

Published: 2017-05-17

Total Pages: 360

ISBN-13: 1544302339

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Transforming the standards into learning outcomes just got a lot easier In this expansion of the original popular Common Core Mathematics Companions, you can see in an instant how teaching to your state standards should look and sound in the classroom. Under the premise that math is math, the authors provide a Cross-Referencing Index for states implementing their own specific mathematics standards, showing which of your standards are the same as CCSS-M, which differ and how—and which page number to turn to for standards-based teaching ideas. It’s all here, page by page: The mathematics embedded in each standard for a deeper understanding of the content Examples of what effective teaching and learning look like in the classroom Connected standards within each domain so teachers can better appreciate how they relate Priorities within clusters so teachers know where to focus their time The three components of rigor: conceptual understanding, procedural skills, and applications Vocabulary and suggested materials for each grade-level band with explicit connections to the standards Common student misconceptions around key mathematical ideas with ways to address them Sample lesson plans and lesson planning templates Cross-referenced index listing the standards in the following states, explaining what is unique to the standards of each state Your Mathematics Standards Companion is your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum.


A Practical Guide to Transforming Primary Mathematics

A Practical Guide to Transforming Primary Mathematics

Author: Mike Askew

Publisher: Routledge

Published: 2015-07-30

Total Pages: 185

ISBN-13: 131781326X

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A Practical Guide to Transforming Primary Mathematics offers inspiration and ideas for all training and practising teachers committed to making mathematics enjoyable, inclusive, engaging and successful. The companion to Mike Askew’s bestselling book, Transforming Primary Mathematics, this practical guide focuses on showing you how to unlock the powerful potential of a small set of consistent principles and practices, known as the teaching tripod, to develop a coherent approach to teaching mathematics. Organised around the major strands of the curriculum - number, calculations, shape and space, measures, and data handling – it offers an accessible introduction to the teaching tripod, a careful choice of tasks, supported by a range of tools that extend our natural abilities and held together by careful attention to classroom talk. A range of classroom tasks, each including key learning outcomes, clear links to the framework, links to relevant research, and suggestions for making the tasks easier or harder, are offered for every topic, helping you plan units of work for meaningful learning. A Practical Guide to Transforming Primary Mathematics offers all teachers a vision, rationale and ideas for how teaching can support better learning of mathematics but also encourage learners to see themselves as being capable of learning mathematics, and wanting to learn it.


Teaching Mathematics in the Visible Learning Classroom, Grades 3-5

Teaching Mathematics in the Visible Learning Classroom, Grades 3-5

Author: John Almarode

Publisher: Corwin Press

Published: 2019-02-13

Total Pages: 281

ISBN-13: 1544333250

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How do you generate that lightbulb “aha” moment of understanding for your students? This book helps to answer that question by showing Visible Learning strategies in action in high-impact mathematics classrooms. Walk in the shoes of teachers as they engage in the countless micro-decisions required to balance strategies, tasks, and assessments, demonstrating that it’s not only what works, but when. A decision-making matrix and grade-leveled examples help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.


Guided Math Made Easy, Grade 3

Guided Math Made Easy, Grade 3

Author: Lisa A. Willman

Publisher: Carson-Dellosa Publishing

Published: 2012-01-03

Total Pages: 98

ISBN-13: 1609966805

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Differentiate math instruction using Guided Math Made Easy for grade 3. This 96-page book includes large-group lessons that are paired with smaller, individualized mini-lessons at three levels of difficulty. The lessons support NCTM standards, which allows for easy integration into an existing math curriculum. The book includes reproducibles and aligns with state, national, and Canadian provincial standards.


Working with the Ratio Table, Grades 5-8

Working with the Ratio Table, Grades 5-8

Author: Antonia Cameron

Publisher: Heinemann Educational Books

Published: 2006

Total Pages: 142

ISBN-13:

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In their series of professional books for teachers, Young Mathematicians at Work, Catherine Twomey Fosnot and Maarten Dolk described Mathematics in the City, an innovative project where teachers helped young children construct a deep understanding of number and operation in a math-workshop environment. Now they and two colleagues from the project have developed a flexible, video-based, digital context for inquiry into the teaching and learning of mathematics that will change how professional development is conducted. Designed for you, the workshop leader or college instructor, the Working with the Ratio Table Resource Package enables your in- or preservice teachers to not only watch but interact with video that depicts classroom teachers as they listen to, question, and interpret students' thinking; develop connections between mathematical ideas and strategies; and, ultimately, develop vibrant mathematical communities in their classrooms. The Resource Package includes three valuable components: A completely interactive CD-ROM, where your workshop participants can explore-independently or under your guidance-videos of instruction and assessment; sample children's work over time to analyze development; take and save notes on what they see; capture specific frames or footage; and then email their captured video clips and notes to other members of your professional development workshop. The context of the classroom will be at the fingertips of your participants for exploration. A Professional Development Overview Manual that provides general advice on how you can use the CD-ROM for staff development. A Facilitator's Guide whose field-tested content is specific to the CD-ROM and includes helpful suggestions for using video clips and student examples on the CD to design rich professional development experiences; sample dialogue to help you anticipate what your participants might say; tips for facilitating discussions among teachers; and descriptions of the mathematical ideas being explored. In Working with the Ratio Table, your workshop participants will observe sixth graders as they construct some of the big ideas related to fractions, making connections between ratios and equivalence and uncovering landmark division strategies like comparison through common denominators. By studying the use of carefully crafted problems designed both to generate a range of solution strategies and to highlight the power of ratio tables and other models for division, teachers will discover what a valuable tool real-life contexts are for building a solid foundation in mathematics. System Requirements for CD-ROM Windows/PC Pentium II Processor 266MHz (or higher) Windows 98 (or higher) 64 MB RAM (more recommended) SVGA Color Display (or better) 4x CD-ROM Drive (or faster) Sound Card 16-bit Flash(TM) Player and Acrobat Reader(R) Quicktime 6.0 (or higher) Mac PowerPC Processor G3/233MHz (or higher) System 9.2 or 10.2 (or higher) 64 MB RAM (more recommended) SVGA Color Display (or better) 4x CD-ROM Drive (or faster) Sound Card 16-bit Flash(TM) Player and Acrobat Reader(R) Quicktime 6.0 (or higher) *Please note CD-ROM is not compatible with Mac OS X 10.7


Well Played, Grades 3-5

Well Played, Grades 3-5

Author: Linda Dacey

Publisher: Taylor & Francis

Published: 2023-10-10

Total Pages: 232

ISBN-13: 1003841570

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Students love math games and puzzles, but how much are they really learning from the experience? Too often, math games are thought of as just a fun activity or enrichment opportunity. Well Played, Grades 3-5: Building Mathematical Thinking Through Number Games and Puzzles shows you how to make games and puzzles an integral learning component that provides teachers with unique access to student thinking. The twenty-five games and puzzles in Well Played, Grades 3-5 which have all been field-tested in diverse classrooms, contain: Explanations of the mathematical importance of each game or puzzle and how it supports student learning Variations for each game or puzzle to address a range of learning levels and styles Classroom vignettes that model how best to introduce the featured game or puzzle The book also includes a separate chapter with suggestions for how to effectively manage games and puzzles in diverse classrooms; game boards, game cards, and puzzles; assessment ideas; and suggestions for online games, puzzles, and apps. Well Played, Grades 3-5 will help you tap the power of games and puzzles to engage students in sustained and productive mathematical thinking.


The Common Core Mathematics Companion: The Standards Decoded, Grades 3-5

The Common Core Mathematics Companion: The Standards Decoded, Grades 3-5

Author: Linda M. Gojak

Publisher: Corwin Press

Published: 2015-05-28

Total Pages: 321

ISBN-13: 1483381595

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Your user’s guide to the mathematics standards In the 12 short months since the ELA versions of The Common Core Companions, Grades K-2 and 3-5, burst on the scene, they’ve already assisted tens of thousands of teachers with the day-to-day "what you do." Teachers’ one big criticism: what about mathematics? Luckily NCTM past-president Linda Gojak and mathematics coach Ruth Harbin Miles stepped up to the task. The result? That version of the mathematics standards you wish you had. Page by page, The Common Core Mathematics Companions clearly lay out: The mathematics embedded in each standard for a deeper understanding of the content Examples of what effective teaching and learning look like in the classroom Connected standards within each domain so teachers can better appreciate how they relate Priorities within clusters so teachers know where to focus their time The three components of rigor: conceptual understanding, procedural skills, and applications Vocabulary and suggested materials for each grade-level band with explicit connections to the standards Common student misconceptions around key mathematical ideas with ways to address them Don’t spend another minute poring over the mathematics standards. Gojak and Miles have already done the heavy-lifting for you. Focus instead on how to teach them, using The Common Core Mathematics Companion as your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum.