Mine the Gap for Mathematical Understanding, Grades K-2 PDF Download
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Author: John SanGiovanni
Publisher: Corwin Press
ISBN: 1506382290
Category : Education
Languages : en
Pages : 384
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Book Description
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 young learners’ 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 160 high-quality tasks aligned to the standards and big ideas of grades K-2 mathematics, including counting and representing numbers, number relationships and comparison, addition and subtraction within 100 and 1000, money and time, and multiplication and division. 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 taskwhat 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.
Author: John SanGiovanni
Publisher: Corwin Press
ISBN: 1506382290
Category : Education
Languages : en
Pages : 384
Get Book
Book Description
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 young learners’ 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 160 high-quality tasks aligned to the standards and big ideas of grades K-2 mathematics, including counting and representing numbers, number relationships and comparison, addition and subtraction within 100 and 1000, money and time, and multiplication and division. 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 taskwhat 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.
Author: Catherine Jones Kuhns
Publisher: Crystal Springs Books
ISBN: 9781935502760
Category : Education
Languages : en
Pages : 245
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Book Description
"Common Core Math in Action, Grades 3 5 Making the Standards Manageable, Meaningful & Fun Catherine Jones Kuhns & Marrie Lasater Jam packed with concrete, pictorial, and abstract activities to address all of the Common Core State Standards for Mathematics (grades 3 5), Common Core Math in Action features highly engaging, child-friendly activities, all designed to get your students reasoning like mathematicians and loving mathematics. You'll find exciting ways to introduce mathematical concepts through children's literature and to focus on conceptual understanding.
Author: Cheryl Rose Tobey
Publisher: Corwin Press
ISBN: 1452284814
Category : Education
Languages : en
Pages : 241
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Book Description
Get to the core of your students’ understanding of math! Back by popular demand, Cheryl Tobey and new coauthor Emily Fagan bring you 25 entirely new formative assessment probes—this time specifically for Grades K–2 and directly aligned to the Common Core. Thousands of teachers have already discovered that using probes may be the single-best way to identify students’ understandings and misunderstandings of key math concepts and then follow-up with the most appropriate instructional choices. Organized by strand, the probes will enable you to: Objectively evaluate each child’s prior basic numeracy and math knowledge Systematically address common mistakes and obstacles before they become long-term problems Help students integrate new mathematical ideas and immediately pinpoint areas of struggle Plan targeted instruction that builds on students’ current understandings while addressing their identified difficulties With the help of these probes, K–2 teachers will eliminate once and for all the perception "some kids just aren’t good at math" and put all students on the path of lifelong proficiency. "Tobey and Fagan provide both a roadmap and GPS for navigating the Common Core Standards for Mathematics. In a time when teachers are asked to do more and more, this is a fabulous resource to guide instruction that will meet the needs of individual students. I was so impressed with the content, I found myself taking copious notes as I read." —Roxie R. Ahlbrecht, Math Intervention Specialist Lowell MST, Sioux Falls, SD "These probes get to the heart of the Common Core Standards. The Teacher Notes provide valuable guidance on interpreting student results and using the information to inform instruction." —Donna Boucher, K–5 Math Instructional Coach Morton Ranch Elementary School, Katy ISD, Katy, TX
Author: Lois A. Williams
Publisher: Corwin Press
ISBN: 1506387926
Category : Education
Languages : en
Pages : 264
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Book Description
Ever feel burdened by mathematics lesson planning? Your blueprint for designing Grades 6-8 math lessons that enhance state standards and address the learning needs of students is here. This indispensable handbook guides you step-by-step to plan math lessons that are purposeful, rigorous, and coherent. The effective planning process helps you Clarify learning intentions and connect goals to success criteria Structure lessons to fit traditional or block schedules Select the formats and tasks that facilitate questioning and encourage productive struggle Includes a lesson-planning template and examples from Grades 6-8 classrooms. Empower yourself to plan strategically, teach with intention, and build an individualized and manageable set of mathematics lesson plans.
Author: Juli K. Dixon
Publisher: Solution Tree Press
ISBN: 1942496400
Category : Education
Languages : en
Pages : 218
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Book Description
Develop a deep understanding of mathematics. This user-friendly resource presents grades K–2 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Clarify math essentials with figures and tables that facilitate understanding through visualization. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Number Concepts and Place Value 2 Word Problem Structures 3 Addition and Subtraction Using Counting Strategies 4 Addition and Subtraction Using Grouping Strategies 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals
Author: Ruth Harbin Miles
Publisher: Corwin Press
ISBN: 150638787X
Category : Education
Languages : en
Pages : 248
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Book Description
YOU are the architect in the mathematics classroom. 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
Author:
Publisher: Carson-Dellosa Publishing
ISBN: 1483821552
Category : Juvenile Nonfiction
Languages : en
Pages : 352
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Book Description
The Complete Book of Math provides 352 pages of fun exercises for students in grades 1 to 2 that teach students key lessons in basic math skills. Lessons cover topics including patterns, comparing, geometry, place value, measurement, graphing, time and money, and fractions. it also includes a complete answer key, user-friendly activities, and easy-to-follow instructions. Over 4 million in print! Designed by leading experts, books in the Complete Book series help children in grades preschool-6 build a solid foundation in key subject areas for learning success. Complete Book are the most thorough and comprehensive learning guides available, offering high-interest lessons to encourage learning and full-color illustrations to spark interest. Each book also features challenging concepts and activities to motivate independent study, a fun page of stickers, and a complete answer key to measure performance and guide instruction.
Author: Juli K. Dixon
Publisher: Solution Tree Press
ISBN: 1942496435
Category : Education
Languages : en
Pages : 386
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Book Description
Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals
Author: Nancy Hughes
Publisher: Simon and Schuster
ISBN: 164604357X
Category : Education
Languages : en
Pages : 344
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Book Description
Make learning fun and help your student master math with these parent- and teacher-friendly games and activities designed for kindergarten, first grade, and second grade. An excellent resource for teachers and parents, Math Fluency Activities for K–2 Teachers makes learning basic math facts and number sense a breeze. This book helps students in grades K–2 meet current math fluency standards for their age group. Beyond teaching speed, accuracy, and memorization, this book focuses on getting students to apply math in a variety of real-life situations. Inside you’ll find: Current fluency standards for kindergarten, first grade, and second grade Activities, games, and ideas for teaching math to students Concrete examples and practice sections to reinforce concepts And much more! Ideal for reteaching, at-home practice, or general class time, Math Fluency Activities for K–2 Teachers is the ultimate tool for helping kids achieve math success!
![Mathematize It! [Grades K-2] PDF](https://books.google.com/books/content/images/frontcover/pCjhDwAAQBAJ?fife=w80-h100)
Author: Kimberly Morrow-Leong
Publisher: Corwin Press
ISBN: 1071811371
Category : Education
Languages : en
Pages : 184
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Book Description
"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!
