A Focus On Multiplication And Division

Author : Elizabeth T. Hulbert
Publisher : Taylor & Francis
ISBN 13 : 1351671707
Total Pages : 198 pages
Book Rating : 4.05/5 ( download)

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Download or read book A Focus on Multiplication and Division written by Elizabeth T. Hulbert and published by Taylor & Francis. This book was released on 2017-06-26 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Focus on Multiplication and Division is a groundbreaking effort to make mathematics education research readily accessible and understandable to pre- and in-service K–6 mathematics educators. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book is sure to equip educators with the knowledge and tools needed to modify their lessons and to improve student learning of multiplication and division. Special Features: Looking Back Questions at the end of each chapter allow teachers to analyze student thinking and to consider instructional strategies for their own students. Instructional Links help teachers relate concepts from each chapter to their own instructional materials and programs. Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of multiplication and division. Answer Key posted online offers extensive explanations of in-chapter questions. Each chapter includes sections on the Common Core State Standards for Mathematics and integrates the Ongoing Assessment Project (OGAP) Multiplicative Reasoning Progression for formative assessment purposes. Centered on the question of how students develop their understanding of mathematical concepts, this innovative book places math teachers in the mode of ongoing action researchers.

Author : Elizabeth T. Hulbert
Publisher : Taylor & Francis
ISBN 13 : 1000886166
Total Pages : 276 pages
Book Rating : 4.60/5 ( download)

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Download or read book A Focus on Multiplication and Division written by Elizabeth T. Hulbert and published by Taylor & Francis. This book was released on 2023-07-04 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this book offers a unique approach to making mathematics education research on the teaching and learning of multiplication and division concepts readily accessible and understandable to preservice and in-service K-6 mathematics teachers. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers’ experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction, and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP) and updated throughout, this engaging and easy-to-use resource also features the following: New chapters on the OGAP Multiplicative Reasoning Framework and Learning Progressions and Using the OGAP Multiplicative Progression to inform instruction and support student learning In-chapter sections on how Common Core State Standards for Math are supported by math education research Case Studies focusing on a core mathematical idea and different types of instructional responses to illustrate how teachers can elicit evidence of student thinking and use that information to inform instruction Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of multiplication and division Looking Back Questions at the end of each chapter allow teachers to analyze student thinking and to consider instructional strategies for their own students Instructional Links to help teachers relate concepts from each chapter to their own instructional materials and programs Accompanying online Support Material that includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression A Focus on Multiplication and Division is part of the popular A Focus on . . . collection, designed to aid the professional development of preservice and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and fractions, this updated new edition bridges the gap between what math education researchers know and what teachers need to know to better understand evidence in student work and make effective instructional decisions.

Author : Kathryn Bouchard Chval
Publisher :
ISBN 13 : 9780873537322
Total Pages : 148 pages
Book Rating : 4.27/5 ( download)

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Download or read book Putting Essential Understanding of Fractions Into Practice in Grades 3-5 written by Kathryn Bouchard Chval and published by . This book was released on 2013 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do your students suppose that 1/3 is greater than 1/2, since 3 is greater than 2? Do they believe that having “halves” means having two, and only two, congruent “pieces” of a whole? What tasks can you offer—what questions can you ask—to determine what your students know or don’t know—and move them forward in their thinking? This book focuses on the specialised pedagogical content knowledge that you need to teach fractions effectively in grades 3–5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with fractions—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of fractions. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.

Author : Caroline B. Ebby
Publisher : Routledge
ISBN 13 : 1000220931
Total Pages : 245 pages
Book Rating : 4.33/5 ( download)

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Download or read book A Focus on Addition and Subtraction written by Caroline B. Ebby and published by Routledge. This book was released on 2020-11-23 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative text offers a unique approach to making mathematics education research on addition, subtraction, and number concepts readily accessible and understandable to pre-service and in-service teachers of grades K–3. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book provides educators with the knowledge and tools needed to modify their lessons and improve student learning of additive reasoning in the primary grades. Based on research gathered in the Ongoing Assessment Project (OGAP), this engaging, easy-to-use resource features practical resources such as: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding; A focus on the OGAP Addition, Subtraction, and Base Ten Number Progressions, based on research conducted with hundreds of teachers and thousands of pieces of student work; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; An accompanying eResource, available online, offers an answer key to Looking Back questions, as well as a copy of the OGAP Additive Framework and the OGAP Number Line Continuum. A Focus on Addition and Subtraction marks the fourth installment of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. Following from previous volumes on ratios and proportions, multiplication and division, and fractions, this newest addition is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.

Author :
Publisher : Carson-Dellosa Publishing
ISBN 13 : 1483855570
Total Pages : 64 pages
Book Rating : 4.78/5 ( download)

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Download or read book Skills for School Multiplication & Division, Grade 3 written by and published by Carson-Dellosa Publishing. This book was released on 2019-04-22 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiplication & Division features 64 pages of easy-to-follow activities and practice that engage children’s skills in multiplication and division—specifically multiplying and dividing within 100. As children discover the relationship between multiplication and division, they will build confidence essential for math readiness. The Skills for School series makes learning simple with colorful illustrations and step-by-step directions. Each book focuses on different early learning skills, allowing you to choose the book that best fits your child’s areas of improvement. The practice pages include fun activities that help build your child’s confidence in the subject matter and school. Each book also includes fun stickers that are great for motivating and rewarding your child.

Author : Jennifer M. Bay-Williams
Publisher : Corwin
ISBN 13 : 1071818430
Total Pages : 265 pages
Book Rating : 4.35/5 ( download)

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Download or read book Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 written by Jennifer M. Bay-Williams and published by Corwin. This book was released on 2021-03-02 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Author : Elizabeth T. Hulbert
Publisher : Routledge
ISBN 13 : 1351671693
Total Pages : 267 pages
Book Rating : 4.99/5 ( download)

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Download or read book A Focus on Multiplication and Division written by Elizabeth T. Hulbert and published by Routledge. This book was released on 2017-06-26 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Focus on Multiplication and Division is a groundbreaking effort to make mathematics education research readily accessible and understandable to pre- and in-service K–6 mathematics educators. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book is sure to equip educators with the knowledge and tools needed to modify their lessons and to improve student learning of multiplication and division. Special Features: Looking Back Questions at the end of each chapter allow teachers to analyze student thinking and to consider instructional strategies for their own students. Instructional Links help teachers relate concepts from each chapter to their own instructional materials and programs. Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of multiplication and division. Answer Key posted online offers extensive explanations of in-chapter questions. Each chapter includes sections on the Common Core State Standards for Mathematics and integrates the Ongoing Assessment Project (OGAP) Multiplicative Reasoning Progression for formative assessment purposes. Centered on the question of how students develop their understanding of mathematical concepts, this innovative book places math teachers in the mode of ongoing action researchers.

Author : John Lannin
Publisher :
ISBN 13 : 9780873537155
Total Pages : 173 pages
Book Rating : 4.57/5 ( download)

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Download or read book Putting Essential Understanding of Multiplication and Division Into Practice in Grades 3-5 written by John Lannin and published by . This book was released on 2013-01-01 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do your students believe that division "doesn't make sense" if the divisor is greater than the dividend? Explore rich, researched-based strategies and tasks that show how students are reasoning about and making sense of mulitplication and division. This book focuses on the specialised pedagogical content knowledge that you need to teach multiplication and division effectively in grades 3-5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with these computations - not only in their current work, but also in higher-level maths and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of multiplication and division. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning. About the Series: You have essential understanding. It’s time to put it into practise in your teaching. The Putting Essential Understanding into Practice Series moves NCTM’s Essential Understanding Series into the classroom. The new series details and explores best practises for teaching the essential ideas that students must grasp about fundamental topics in mathematics - topics that are challenging to learn and teach but are critical to the development of mathematical understanding. Classroom vignettes and samples of student work bring each topic to life and questions for reader reflection open it up for hands-on exploration. Each volume underscores connections with the Common Core State Standards for Mathematics while highlighting the knowledge of learners, curriculum, understanding into practise, instructional strategies and assessment that pedagogical content knowledge entails. Maximise the potential of student-centred learning and teaching by putting essential understanding into practise.

Author : Kumon
Publisher : Kumon Pub North America Limited
ISBN 13 : 9784774300252
Total Pages : 64 pages
Book Rating : 4.5X/5 ( download)

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Download or read book Focus on Multiplication and Division with Decimals written by Kumon and published by Kumon Pub North America Limited. This book was released on 2012-06 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kumon's research has discovered that children learn more easily when they tackle one skill at a time. That's why Kumon Focus on Workbooks shine a spotlight on one challenging maths topic per book and help children improve these essential skills and gain confidence in their abilities. Each workbook utilises the Kumon Method - a step-by-step, incremental approach that helps children learn at their own pace and without anxiety. By rigorously practising each skill, the child will be proficient in the mathematics that is crucial for future learning.

Author : Catherine Twomey Fosnot
Publisher : Heinemann Educational Books
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.15/5 ( download)

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Download or read book Young Mathematicians at Work written by Catherine Twomey Fosnot and published by Heinemann Educational Books. This book was released on 2001 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.