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Mine the Gap for Mathematical Understanding, Grades 3-5: Common Holes VG COND
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Oggetto che si trova a: Boston, Massachusetts, Stati Uniti
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Numero oggetto eBay:365746865056
Specifiche dell'oggetto
- Condizione
- Release Year
- 2016
- Book Title
- Mine the Gap for Mathematical Understanding, Grades 3-5: Commo...
- ISBN
- 9781506337678
Informazioni su questo prodotto
Product Identifiers
Publisher
Corwin Press
ISBN-10
1506337678
ISBN-13
9781506337678
eBay Product ID (ePID)
228539702
Product Key Features
Number of Pages
384 Pages
Language
English
Publication Name
Mine the Gap for Mathematical Understanding, Grades 3-5 : Common Holes and Misconceptions and What to Do about Them
Subject
Elementary, Training & Certification, Teaching Methods & Materials / Mathematics
Publication Year
2016
Type
Textbook
Subject Area
Education
Series
Corwin Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
4.3 in
Item Weight
28 Oz
Item Length
0.3 in
Item Width
3.3 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2016-026612
Reviews
"Wow! Mine the Gap for grades 3-5 teachers really unpacks! Not only does the book provide dozens of great mathematical tasks, but-perhaps more importantly-it gives teachers the chance to consider each task; anticipate student responses-a critical first step in formative assessment; analyze actual student responses; and then consider what they would do in the classroom. Thoughts about modifying each task provide another option for each task. At a time when teachers are encouraged to regularly provide students with tasks that promote reasoning and problem solving, this book will help teachers dig deeper as they mine for understandings." -- Francis (Skip) Fennell "Too often students (and parents and teachers) have the notion that the goal in math should be to get the right answer. Yet insight into misconceptions and students' thinking can tell us much more about what students know (and don't know) beyond simply a correct or incorrect answer. SanGiovanni offers teachers a treasure trove of rich tasks and student work on those tasks. Examples of how to analyze student thinking and next instructional steps make this a volume that should be on every 3-5 math teacher's desk!" -- Linda Gojak "This work does what other books only attempt to do. It combines instruction, assessment, and practice with open-ended and rich tasks that allow for teachers to not only immediately implement the ideas but also understand the content and pedagogy behind them. The tasks, which are immediately implementable and customizable, engage each and every learner. They are based on cutting edge and research-based instructional frameworks and provide countless learning opportunities for students." -- Zachary Champagne "Mine the Gap for Mathematical Understanding is a much-needed and anticipated resource for teachers, mathematics coaches, mathematics specialists, administrators, and other stakeholders. The easy to follow, teacher-friendly format, the accompanying commentary for each student work sample, along with the thoughtful reflection questions will quickly make this resource a 'go to' professional development tool." -- Latrenda Knighten "Mine the Gap is a great tool for teachers to use to grow their own understanding of student misconceptions and incomplete understandings and how to address them. This is an indispensable resource for all involved in supporting students' growth in mathematics." -- Nathan Rosin "More than just a nice collection of problems, this book shares a road map for teachers looking to enhance the quality of the math tasks they use with students. Teachers will appreciate the examples of actual student work paired with tips for analysis and instruction." -- Delise Andrews "John SanGiovanni continues to provide teacher-friendly, must-have books. They empower teachers by deepening their understanding of content and teaching." -- Megan Dooley "This book helps navigate how to use student work to drive instruction with rich engaging tasks, which will help all students become better mathematicians. SanGiovanni has done an excellent job of helping teachers to carefully look at student work to identify how students solved math problems, using this evidence to identify those students who understand the targeted skill, along with the misconceptions or misunderstandings of other students, with suggestions of how to move all students forward in their thinking." -- Cynthia Baumann, John SanGiovanni continues to provide teacher-friendly, must-have books. They empower teachersby deepening their understanding of content and teaching., This work does what other books only attempt to do. It combines instruction, assessment, andpractice with open-ended and rich tasks that allow for teachers to not only immediately implementthe ideas but also understand the content and pedagogy behind them. The tasks, which areimmediately implementable and customizable, engage each and every learner. They are based oncutting edge and research-based instructional frameworks and provide countless learning opportunitiesfor students., Wow! Mine the Gap for grades 3-5 teachers really unpacks! Not only does the book provide dozensof great mathematical tasks, but--perhaps more importantly--it gives teachers the chanceto consider each task; anticipate student responses--a critical first step in formative assessment;analyze actual student responses; and then consider what they would do in the classroom.Thoughts about modifying each task provide another option for each task. At a time when teachersare encouraged to regularly provide students with tasks that promote reasoning and problemsolving, this book will help teachers dig deeper as they mine for understandings., More than just a nice collection of problems, this book shares a road map for teachers looking toenhance the quality of the math tasks they use with students. Teachers will appreciate the examplesof actual student work paired with tips for analysis and instruction., This book helps navigate how to use student work to drive instruction with rich engaging tasks,which will help all students become better mathematicians. SanGiovanni has done an excellentjob of helping teachers to carefully look at student work to identify how students solved math problems,using this evidence to identify those students who understand the targeted skill, along withthe misconceptions or misunderstandings of other students, with suggestions of how to move allstudents forward in their thinking., Too often students (and parents and teachers) have the notion that the goal in math shouldbe to get the right answer. Yet insight into misconceptions and students' thinking can tell usmuch more about what students know (and don't know) beyond simply a correct or incorrectanswer. SanGiovanni offers teachers a treasure trove of rich tasks and student work on thosetasks. Examples of how to analyze student thinking and next instructional steps make this a volumethat should be on every 3-5 math teacher's desk!, Mine the Gap is a great tool for teachers to use to grow their own understanding of student misconceptionsand incomplete understandings and how to address them. This is an indispensableresource for all involved in supporting students' growth in mathematics., Mine the Gap for Mathematical Understanding is a much-needed and anticipated resource forteachers, mathematics coaches, mathematics specialists, administrators, and other stakeholders.The easy to follow, teacher-friendly format, the accompanying commentary for each student worksample, along with the thoughtful reflection questions will quickly make this resource a 'go to'professional development tool.
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
372.7
Table Of Content
Big Ideas & Tasks at a Glance Acknowledgments Publisher's Acknowledgments About the Author Introduction CHAPTER 1: RICH MATHEMATICS TASKS, STUDENT MISCONCEPTIONS, USING TASKS CHAPTER 2: ADDITION AND SUBTRACTION WITHIN 1,000 BIG IDEAS 1: Adding Within 1,000 2: Reasoning About Addition Within 1,000 3: Subtraction Within 1,000 4: Reasoning About Subtraction Within 1,000 5: Problem Solving With Addition and Subtraction CHAPTER 3: MULTIPLICATION AND DIVISION BIG IDEAS 6: Representing Multiplication 7: Reasoning About Multiplication 8: Properties of Multiplication 9: Representing Division 10: Reasoning About Division 11: Problem Solving With Multiplication and Division 12: Connecting Multiplication and Division 13: Representing Multi-Digit Multiplication 14: Reasoning About Multi-Digit Multiplication 15: Representing Multi-Digit Division 16: Reasoning About Multi-Digit Division CHAPTER 4: FOUNDATIONAL FRACTION CONCEPTS BIG IDEAS 17: Representing Fractions 18: Connecting Representations of Fractions 19: Fractions on a Number Line 20: Fractions Greater Than 1 on a Number Line 21: Decomposing Fractions 22: Equivalent Fractions on a Number Line 23: Comparing Fractions 24: Reasoning About Fractions 25: More Reasoning About Fractions CHAPTER 5: DECIMAL CONCEPTS BIG IDEAS 26: Representing Decimals 27: Representing Decimals as Numbers 28: Estimating and Rounding Decimals 29: Decomposing Decimals 30: Comparing Decimals 31: Addition With Decimals 32: Subtracting With Decimals 33: Problem Solving With Decimals CHAPTER 6: ADDITION AND SUBTRACTION WITH FRACTIONS BIG IDEAS 34: Addition With Fractions on Number Lines 35: Reasoning About Addition With Fractions 36: Subtraction With Fractions 37: Reasoning About Subtraction With Fractions 38: Problem Solving With Addition and Subtraction of Fractions 39: Addition and Subtraction With Mixed Numbers CHAPTER 7: MULTIPLICATION AND DIVISION WITH FRACTIONS AND DECIMALS BIG IDEAS 40: Multiplication of Fractions 41: More With Multiplication of Fractions 42: Division With Fractions 43: Problem Solving With Multiplication and Division of Fractions 44: Multiplication With Decimals 45: Division With Decimals CHAPTER 8: WHAT DO WE DO NEXT? References and Additional Resources
Synopsis
This bank of carefully selected tasks to discover what students know - and don't quite grasp - about big ideas in grades 3-5 mathematics. 180 in all, downloadable, standards-aligned, and augmented with sample student work, commentary on strengths and gaps, and next instructional steps so teachers can swiftly spot the teachable moments in students' misunderstandings., 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., In this remarkable book, John SanGiovanni reminds us that mathematical mistakes are not random, and when we take the time to "mine the gap," we can dispel misunderstandings before they take root., It's hard to find the time to figure out the "why" behind students' math mistakes, so here is a bank of 180 downloadable, standards-aligned math tasks, the common misunderstandings, and next instructional steps. __________________________ A copy: How good are you at exploiting students' mathematical mistakes? In this remarkable book, John SanGiovanni reminds us that mistakes are not random, and when we take the time to "mine the gap," we can dispel misunderstandings before they take root. Included are 180 downloadable high-quality tasks, aligned to the standards and big ideas grades 3-5 mathematics. Each task includes sample student work, commentary on strengths and gaps, and next instructional steps. Whether you use this bank of tasks for instruction or assessment, you will love how it helps you easily identify students' thinking and then follow-up with instruction that brings clear, complete understanding.
LC Classification Number
QA135.6.S258 2017
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Commonwealth Finds
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- o***d (663)- Feedback lasciato dall'acquirente.Ultimi 6 mesiAcquisto verificatoThe Great Courses: Understanding the Universe: An Introduction to Astronomy 2nd edition is a 16 dvd edition--a MOAB of a Great Course which is just asking for shipping damage or any other nasty surprises during its transit. The course was as advertised: New and was well protected and packed in a box and best of all arrived quickly and safely without damage and also without any problems or complaints from me. A great value and service provided by a great vendor!NEW SEALED Understanding the Universe: An Introduction to Astronomy 2nd Edition (N° 365524955827)
- s***s (267)- Feedback lasciato dall'acquirente.Ultimi 6 mesiAcquisto verificatoExcellent transaction. Great comms, excellent pricing; item's condition was better than advertised (used CD). CD was well packaged (very important for a fragile jewel case), and shipped in timely manner. Seller made this sale a positive experience. 5 Stars all the way!Rust Never Sleeps (N° 365507811140)
- y***3 (293)- Feedback lasciato dall'acquirente.Ultimi 6 mesiAcquisto verificatoThe package arrived at a reasonable amount of time, USPS Media Mail. The book was cocooned in bubble wrap inside a sturdy box. The book is as described on the listing. A definite excellent value! I will definitely purchase from this seller again!EASTON PRESS Tales of Mystery and Imagination, Edgar Allan Poe - Collector's Ed (N° 365450124735)