Mathematize It!

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Author :
Publisher : Corwin
ISBN 13 : 1506395287
Total Pages : 225 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Mathematize It! by : Sara Delano Moore

Download or read book Mathematize It! written by Sara Delano Moore and published by Corwin. This book was released on 2019-09-17 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Help students reveal the math behind the words 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. Mathematize It! 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. This user-friendly resource for Grades 3–5 • Offers a systematic mathematizing process for solving word problems • Provides specific examples 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

Mathematize It! [Grades K-2]

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Author :
Publisher : Corwin
ISBN 13 : 1071811320
Total Pages : 233 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Mathematize It! [Grades K-2] by : Kimberly Morrow-Leong

Download or read book Mathematize It! [Grades K-2] written by Kimberly Morrow-Leong and published by Corwin. This book was released on 2020-05-05 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Help students reveal the math behind the words 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. Mathematize It! 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. This user-friendly resource for Grades K-2 · Offers a systematic mathematizing process for solving word problems · Provides specific examples of questions and explorations for addition and subtraction of whole numbers as well as early thinking for multiplication and division · Demonstrates the use of concrete manipulatives to model problems with dozens of short videos

Mathematize It! [Grades 6-8]

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Author :
Publisher : Corwin
ISBN 13 : 1071819852
Total Pages : 265 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Mathematize It! [Grades 6-8] by : Kimberly Morrow-Leong

Download or read book Mathematize It! [Grades 6-8] written by Kimberly Morrow-Leong and published by Corwin. This book was released on 2020-08-21 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, 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 6–8 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 6–8: · 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 multiplication and division, fractions and decimals, as well as operations with rational numbers · Demonstrates the use of visual representations 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!

Mathematize It! [Grades 3-5]

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Author :
Publisher : Corwin Press
ISBN 13 : 1506395252
Total Pages : 188 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Mathematize It! [Grades 3-5] by : Sara Delano Moore

Download or read book Mathematize It! [Grades 3-5] written by Sara Delano Moore and published by Corwin Press. This book was released on 2019-09-04 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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!

Mathematize It! [Grades K-2]

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Author :
Publisher : Corwin Press
ISBN 13 : 1071811371
Total Pages : 184 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Mathematize It! [Grades K-2] by : Kimberly Morrow-Leong

Download or read book Mathematize It! [Grades K-2] written by Kimberly Morrow-Leong and published by Corwin Press. This book was released on 2020-04-23 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a must-have for anyone who has faced the challenge of teaching problem solving. The ideas to be learned are supported with a noticeably rich collection of classroom-ready problems, examples of student thinking, and videos. Problem solving is at the center of learning and doing mathematics. And so, Mathematize It! should be at the center of every teacher’s collection of instructional resources." John SanGiovanni Coordinator, Elementary Mathematics Howard County Public School System, Ellicott City, MD 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 K-2 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 K-2 · 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 addition and subtraction of whole numbers as well as early thinking for multiplication and division · 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!

Mathematize It!

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Author :
Publisher : Corwin Press
ISBN 13 : 1506395260
Total Pages : 322 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Mathematize It! by : Sara Delano Moore

Download or read book Mathematize It! written by Sara Delano Moore and published by Corwin Press. This book was released on 2019-09-04 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Help students reveal the math behind the words 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. Mathematize It! 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. This user-friendly resource for Grades 3–5 • Offers a systematic mathematizing process for solving word problems • Provides specific examples 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

Mathematize It! [Grades 6-8]

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Author :
Publisher : Corwin Press
ISBN 13 : 1071819879
Total Pages : 265 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Mathematize It! [Grades 6-8] by : Kimberly Morrow-Leong

Download or read book Mathematize It! [Grades 6-8] written by Kimberly Morrow-Leong and published by Corwin Press. This book was released on 2020-08-21 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, 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 6–8 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 6–8: · 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 multiplication and division, fractions and decimals, as well as operations with rational numbers · Demonstrates the use of visual representations 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!

Daily Routines to Jump-Start Math Class, Elementary School

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Author :
Publisher : Corwin Press
ISBN 13 : 154437495X
Total Pages : 193 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Daily Routines to Jump-Start Math Class, Elementary School by : John J. SanGiovanni

Download or read book Daily Routines to Jump-Start Math Class, Elementary School written by John J. SanGiovanni and published by Corwin Press. This book was released on 2019-08-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do your students need more practice to develop number sense and reasoning? Are you looking to engage your students with activities that are uncomplicated, worthwhile, and doable? Have you had success with number talks but do your students crave more variety? Have you ever thought, "What can I do differently?" Swap out traditional warmup practices and captivate your elementary students with these new, innovative, and ready-to-go routines! Trusted elementary math expert John J. SanGiovanni details 20 classroom-proven practice routines to help you ignite student engagement, reinforce learning, and prepare students for the lesson ahead. Each quick and lively activity spurs mathematics discussion and provides a structure for talking about numbers, number concepts, and number sense. Designed to jump-start mathematics reasoning in any elementary classroom, the routines are: Rich with content-specific examples and extensions Modifiable to work with math content at any K-5 grade level Compatible with any textbook or core mathematics curriculum Practical, easy-to-implement, and flexible for use as a warm-up or other activity Accompanied by online slides and video demonstrations, the easy 5–10 minute routines become your go-to materials for a year’s work of daily plug-and-play short-burst reasoning and fluency instruction that reinforces learning and instills mathematics confidence in students. Students’ brains are most ready to learn in the first few minutes of math class. Give math practice routines a makeover in your classroom with these 20 meaningful and energizing warmups for learning crucial mathematics skills and concepts, and make every minute count.

50 Problem-solving Lessons

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Author :
Publisher : Math Solutions
ISBN 13 : 0941355160
Total Pages : 194 pages
Book Rating : 4.9/5 (413 download)

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Book Synopsis 50 Problem-solving Lessons by : Marilyn Burns

Download or read book 50 Problem-solving Lessons written by Marilyn Burns and published by Math Solutions. This book was released on 1996 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers practical, classroom-tested ideas for helping students learn mathematics through problem solving.

Mathematizing

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Author :
Publisher : Redleaf Press
ISBN 13 : 1605543969
Total Pages : 150 pages
Book Rating : 4.6/5 (55 download)

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Book Synopsis Mathematizing by : Allen C. Rosales

Download or read book Mathematizing written by Allen C. Rosales and published by Redleaf Press. This book was released on 2015-07-20 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proven, accessible approach to a curriculum presents a learner-centered approach to math education. Mathematizing provides both the emergent curriculum and professional development frameworks to help young children learn math throughout their everyday routine and to facilitate teachers' understanding of how to see and support children's math learning at every turn. With this book and its plentitude of case studies, illustrations, photographs, and documentation, the mathematizing adult can interpret children's interests and use that knowledge as a catalyst for creating meaningful and purposeful mathematical lessons and interactions.

Mastering Math Manipulatives, Grades 4-8

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Author :
Publisher : Corwin Press
ISBN 13 : 1071816063
Total Pages : 289 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Mastering Math Manipulatives, Grades 4-8 by : Sara Delano Moore

Download or read book Mastering Math Manipulatives, Grades 4-8 written by Sara Delano Moore and published by Corwin Press. This book was released on 2021-10-04 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as base ten blocks, fraction manipulatives, unit squares and cubes, Cuisenaire Rods, Algebra tiles and two-color counters, geometric strips and solids, geoboards, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: · Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. · Step-by-step instructions for over 70 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. · Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness.

Every Math Learner, Grades 6-12

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Author :
Publisher : Corwin Press
ISBN 13 : 150639034X
Total Pages : 302 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Every Math Learner, Grades 6-12 by : Nanci N. Smith

Download or read book Every Math Learner, Grades 6-12 written by Nanci N. Smith and published by Corwin Press. This book was released on 2017-02-02 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a secondary mathematics teacher, you know that students are different and learn differently. And yet, when students enter your classroom, you somehow must teach these unique individuals deep mathematics content using rigorous standards. The curriculum is vast and the stakes are high. Is differentiation really the answer? How can you make it work? Nationally recognized math differentiation expert Nanci Smith debunks the myths, revealing what differentiation is and isn’t. In this engaging book Smith reveals a practical approach to teaching for real learning differences. You’ll gain insights into an achievable, daily differentiation process for ALL students. Theory-lite and practice-heavy, this book shows how to maintain order and sanity while helping your students know, understand, and even enjoy doing mathematics. Classroom videos, teacher vignettes, ready-to-go lesson ideas and rich mathematics examples help you build a manageable framework of engaging, sense-making math. Busy secondary mathematics teachers, coaches, and teacher teams will learn to Provide practical structures for assessing how each of your students learns and processes mathematics concepts Design, implement, manage, and formatively assess and respond to learning in a differentiated classroom Plan specific, standards-aligned differentiated lessons, activities, and assessments Adjust current instructional materials and program resources to better meet students′ needs This book includes classroom videos, in-depth student work samples, student surveys, templates, before-and-after lesson demonstrations, examples of 5-day sequenced lessons, and a robust companion website with downloadables of all the tools in the books plus other resources for further planning. Every Math Learner, Grades 6-12 will help you know and understand your students as learners for daily differentiation that accelerates their mathematics comprehension. "This book is an excellent resource for teachers and administrators alike. It clearly explains key tenants of effective differentiation and through an interactive approach offers numerous practical examples of secondary mathematics differentiation. This book is a must read for any educator looking to reach all students." —Brad Weinhold, Ed.D., Assistant Principal, Overland High School

Plato, the Man and His Work

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Author :
Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Plato, the Man and His Work by : Alfred Edward Taylor

Download or read book Plato, the Man and His Work written by Alfred Edward Taylor and published by . This book was released on 1926 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Five Practices in Practice [Elementary]

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Author :
Publisher : Corwin Press
ISBN 13 : 1544321147
Total Pages : 241 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis The Five Practices in Practice [Elementary] by : Margaret (Peg) Smith

Download or read book The Five Practices in Practice [Elementary] written by Margaret (Peg) Smith and published by Corwin Press. This book was released on 2019-08-14 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take a deep dive into the five practices for facilitating productive mathematical discussions Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your elementary classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively. • Video excerpts vividly illustrate the five practices in action in real elementary classrooms • Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion • Prompts guide you to be prepared for and overcome common challenges Includes planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks.

Mathematizing Children's Literature

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1003843964
Total Pages : 236 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Mathematizing Children's Literature by : Allison Hintz

Download or read book Mathematizing Children's Literature written by Allison Hintz and published by Taylor & Francis. This book was released on 2023-10-10 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many teachers use traditional counting and shape books in math class. But what would happen if we approached any story with a math lens? How might mathematizing children's literature give learners space to ask their own questions, and make connections between stories, their lives, and the world around them? These are the questionsauthors Allison Hintz and Antony T. Smith set out to explore in Mathematizing Children's Literature: Sparking Connections, Joy, and Wonder Through Read-Alouds and Discussion as they invite us to consider fresh ways of using interactive read-alouds to nurture students as both readers and mathematicians.Inside Mathematizing Children's Literature , you'll learn how to do the following: Select picture books according to the goals of the read aloud experiencePlan and facilitate three styles of read aloud discussions - Open Notice and Wonder, Math Lens, and Story Explore UtilizeIdea Investigations - experiences that invite students to pursue literacy and math-focused ideas beyond the pages of the read aloudConnect withstudents' families and communities through storiesAlong the way, Hintz and Smith provide a wide range of picture book suggestions and appendices that include ready-to-use lesson planning templates, a form for notes, and a bookmark of guiding questions. Mathematizing Children's Literature is a practical resource you'll find yourself referring to frequently.

Classroom-Ready Rich Math Tasks, Grades 2-3

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Author :
Publisher : Corwin Press
ISBN 13 : 1071841254
Total Pages : 386 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Classroom-Ready Rich Math Tasks, Grades 2-3 by : Beth McCord Kobett

Download or read book Classroom-Ready Rich Math Tasks, Grades 2-3 written by Beth McCord Kobett and published by Corwin Press. This book was released on 2021-06-08 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed plans for helping elementary students experience deep mathematical learning Do you work tirelessly to make your math lessons meaningful, challenging, accessible, and engaging? Do you spend hours you don’t have searching for, adapting, and creating tasks to provide rich experiences for your students that supplement your mathematics curriculum? Help has arrived! Classroom Ready-Rich Math Tasks for Grades 2-3 details research- and standards-aligned, high-cognitive-demand tasks that will have your students doing deep-problem-based learning. These ready-to-implement, engaging tasks connect skills, concepts and practices, while encouraging students to reason, problem-solve, discuss, explore multiple solution pathways, connect multiple representations, and justify their thinking. They help students monitor their own thinking and connect the mathematics they know to new situations. In other words, these tasks allow students to truly do mathematics! Written with a strengths-based lens and an attentiveness to all students, this guide includes: • Complete task-based lessons, referencing mathematics standards and practices, vocabulary, and materials • Downloadable planning tools, student resource pages, and thoughtful questions, and formative assessment prompts • Guidance on preparing, launching, facilitating, and reflecting on each task • Notes on access and equity, focusing on students’ strengths, productive struggle, and distance or alternative learning environments. With concluding guidance on adapting or creating additional rich tasks for your students, this guide will help you give all of your students the deepest, most enriching and engaging mathematics learning experience possible.

The Imperfect and Unfinished Math Teacher [Grades K-12]

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Author :
Publisher : Corwin Press
ISBN 13 : 1071841556
Total Pages : 210 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis The Imperfect and Unfinished Math Teacher [Grades K-12] by : Chase Orton

Download or read book The Imperfect and Unfinished Math Teacher [Grades K-12] written by Chase Orton and published by Corwin Press. This book was released on 2022-02-24 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The system won’t do it for us. But we have each other. In The Imperfect and Unfinished Math Teacher: A Journey to Reclaim Our Professional Growth, master storyteller Chase Orton offers a vulnerable and courageous grassroots guide that leads K-12 math teachers through a journey to cultivate a more equitable, inclusive, and cohesive culture of professionalism for themselves...what he calls professional flourishment. The book builds from two bold premises. First, that as educators, we are all naturally imperfect and unfinished, and growth should be our constant goal. Second, that the last 40 years of top-down PD efforts in mathematics have rarely supplied teachers with what they need to equitably grow their practice and foster classrooms that are likewise empowered, inclusive, and cohesive. With gentle humanity, this book inspires teachers to break down silos, observe each others’ classrooms, interrogate their own biases, and put students at the center of everything they do in the math classroom. This book: Weaves raw and authentic stories—both personal and those from other educators—into a relatable and validating narrative Offers interactive opportunities to self-reflect, build relationships, seek new vantage on our teaching by observing others’ classrooms and students, and share and listen to other’s stories and experiences Asks teachers to give and accept grace as they work collaboratively to better themselves and the system from within, so that they can truly serve each of their students authentically and equitably Implementing the beliefs and actions in this book will position teachers to become more active partners in each other’s professional growth so that they can navigate the obstacles in their professional landscape with renewed focus and a greater sense of individual and collective efficacy. It equips teachers—and by extension, their students—to chart their own course and author their own equitable and joyful mathematical and professional stories.