Mine the Gap for Mathematical Understanding, Grades K-2

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Release : 2016-10-31
Genre : Education
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Book Rating : 290/5 ( reviews)

Mine the Gap for Mathematical Understanding, Grades K-2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mine the Gap for Mathematical Understanding, Grades K-2 write by John SanGiovanni. This book was released on 2016-10-31. Mine the Gap for Mathematical Understanding, Grades K-2 available in PDF, EPUB and Kindle. 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.

Mine the Gap for Mathematical Understanding, Grades 6-8

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Release : 2017-09-12
Genre : Education
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Book Rating : 834/5 ( reviews)

Mine the Gap for Mathematical Understanding, Grades 6-8 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mine the Gap for Mathematical Understanding, Grades 6-8 write by John SanGiovanni. This book was released on 2017-09-12. Mine the Gap for Mathematical Understanding, Grades 6-8 available in PDF, EPUB and Kindle. 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 and Jennifer Rose Novak help 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. The authors lay out 180 high-quality tasks aligned to the standards and big ideas of Grades 6–8 mathematics, including number systems, integers, ratio and proportion, equations and expressions, geometry, and statistics and probability. 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 four 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.

Mine the Gap for Mathematical Understanding, Grades 3-5

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Release : 2016-09-16
Genre : Education
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Book Rating : 502/5 ( reviews)

Mine the Gap for Mathematical Understanding, Grades 3-5 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mine the Gap for Mathematical Understanding, Grades 3-5 write by John SanGiovanni. This book was released on 2016-09-16. Mine the Gap for Mathematical Understanding, Grades 3-5 available in PDF, EPUB and Kindle. 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.

The Common Core Mathematics Companion: The Standards Decoded, High School

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Release : 2017-09-12
Genre : Education
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Book Rating : 635/5 ( reviews)

The Common Core Mathematics Companion: The Standards Decoded, High School - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Common Core Mathematics Companion: The Standards Decoded, High School write by Frederick L. Dillon. This book was released on 2017-09-12. The Common Core Mathematics Companion: The Standards Decoded, High School available in PDF, EPUB and Kindle. Your User’s Guide to the Mathematics Standards When it comes to mathematics, standards aligned is achievement aligned... In the short time since The Common Core Mathematics Companions for grades K–2, 3–5 and 6–8 burst on the scene, they have been lauded as the best resources for making critical mathematics ideas easy to teach. With this brand-new volume, high school mathematics success is at your fingertips. Page by page, the authors lay out the pieces of an in-depth explanation, including The mathematical progression of each conceptual category, starting with modeling as a unifying theme, and moving through number & quantity, algebra, functions, geometry, and statistics and probability, building from the 8th grade standards The mathematics embedded in each conceptual category for a deeper understanding of the content How standards connect within and across domains, and to previous grade standards, so teachers can better appreciate how they relate How standards connect with the standards for mathematical practice, with a focus on modeling as a unifying theme Example tasks, progressions of tasks, and descriptions of what teachers and students should be doing to foster deep learning The Common Core Mathematics Companion: The Standards Decoded, High School has what every high school teacher needs to provide students with the foundation for the concepts and skills they will be expected to know .

Daily Routines to Jump-Start Problem Solving, Grades K-8

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Release : 2023-04-03
Genre : Education
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Book Rating : 671/5 ( reviews)

Daily Routines to Jump-Start Problem Solving, Grades K-8 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Daily Routines to Jump-Start Problem Solving, Grades K-8 write by John J. SanGiovanni. This book was released on 2023-04-03. Daily Routines to Jump-Start Problem Solving, Grades K-8 available in PDF, EPUB and Kindle. Finally! A book that helps solve the problem of teaching problem-solving! Learning to be a problem solver is hard. Teaching students how to be problem solvers themselves can be even harder. Some students may learn to mimic procedures to come up with correct answers, but are they really learning to solve problems? To become independent problem solvers, students need to practice exploring, tinkering, and most importantly thinking!! The bite-size routines in this guide are perfect for teachers looking for the interesting, engaging, and doable practice students need to become problem-solving masters. These flexible, modifiable bursts of quality practice are designed to get students to look at problems in different ways, spark discussion, make connections, and boost mathematics achievement. This collection addresses the common challenges students and teachers face when learning to problem solve by Developing students’ mathematical reasoning and conceptual understanding Building students’ skills with various problem-solving strategies Nurturing mathematical confidence and improving identity and agency Fortified with standards for math practices and processes, the ideas in this guide develop the reasoning and critical-thinking skills for students to become independent problem-solvers for life!