A Focus On Addition And Subtraction

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 : 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 : Thomas P. Carpenter
Publisher : Routledge
ISBN 13 : 1000089266
Total Pages : 181 pages
Book Rating : 4.64/5 ( download)

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Download or read book Addition and Subtraction written by Thomas P. Carpenter and published by Routledge. This book was released on 2020-08-15 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hallmark of much of the research on children’s thinking in the 1970s had been the focus on explicit content domains. Much of this research had been represented by an eclectic collection of studies sampled from a variety of disciplines and content areas. However, in the few years before this publication, research in several content domains has begun to coalesce into a coherent body of knowledge. Originally published in 1982, the chapters in this work represent one of the first attempts to bring together the perspectives of a variety of different researchers investigating a specific, well defined content domain. This book presents theoretical views and research findings of a group of international scholars who are investigating the early acquisition of addition and subtraction skills by young children. Together, the contributors bring a blend of psychology, educational psychology, and mathematics education to this topic. Fields of interest such as information processing, artificial intelligence, early childhood, and classroom teaching and learning are included in this blend.

Author : Janet H. Caldwell
Publisher :
ISBN 13 : 9780873537308
Total Pages : 152 pages
Book Rating : 4.00/5 ( download)

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Download or read book Putting Essential Understanding of Addition and Subtraction Into Practice in Prekindergarten-grade 2 written by Janet H. Caldwell and published by . This book was released on 2014 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do your students have the incorrect idea that addition “makes numbers bigger” and subtraction “makes numbers smaller”? Do they believe that subtraction is always “taking away”? 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 specialized pedagogical content knowledge that you need to teach addition and subtraction effectively in prekindergarten–grade 2. 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 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 addition and subtraction. 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. You have essential understanding. It’s time to put it into practice 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 practices 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 reaction 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, instructional strategies, and assessment that pedagogical content knowledge entails. Resources and tasks are available at nctm.org/more4U.

Author : Marjorie M. Petit
Publisher : Routledge
ISBN 13 : 1000071448
Total Pages : 242 pages
Book Rating : 4.43/5 ( download)

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Download or read book A Focus on Ratios and Proportions written by Marjorie M. Petit and published by Routledge. This book was released on 2020-05-17 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This resource offers a groundbreaking effort to make mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in the Ongoing Assessment Project (OGAP), A Focus on Ratios and Proportions teaches readers how students develop understanding and fluency involving ratio and proportion concepts. Special features include: 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 Ratios and Proportions Progression, based on research conducted with hundreds of teachers and thousands of pieces of student work. Sections on how Common Core State Standards for Math (CCSSM) are supported by math education research. Student work samples and vignettes to illuminate the research, as well as end of chapter Looking Back questions and Instructional Links, which allow teachers to analyze evidence of student thinking and strategies and consider instructional responses. An accompanying eResource, available online, offers an answer key as well as extensive explanation of the Looking Back questions. Like A Focus on Multiplication and Division and A Focus on Fractions, this book 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 : Eleanor May
Publisher : Astra Publishing House
ISBN 13 : 1575657597
Total Pages : 32 pages
Book Rating : 4.92/5 ( download)

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Download or read book Albert Adds Up! written by Eleanor May and published by Astra Publishing House. This book was released on 2014-08-01 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wanda has brought home an awesome new book from the library—and Albert would trade anything for it! But will adding toy after toy get him any closer to the book? (Math concept: Simple Addition/Subtraction)

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 : Janet H. Caldwell
Publisher : National Council of Teachers of English
ISBN 13 : 9780873536646
Total Pages : 85 pages
Book Rating : 4.49/5 ( download)

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Download or read book Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in Prekindergarten-grade 2 written by Janet H. Caldwell and published by National Council of Teachers of English. This book was released on 2011 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the relationship between addition and subtraction? How do you know whether an algorithm will always work? Can you explain why order matters in subraction but not in addition or why it is false to assert that the sum of any two whole numbers is greater than either number? It is organised around two big ideas and supported by smaller, more specific, interconnected ideas (essential understandings). Gaining an understanding about addition and subtraction is essential as they are the foundation for students’ later learning of multiplication and division. Essential Understanding Series topics include: Number and Numeration for Grades Pre-K-2 Addition and Subtraction for Grades Pre-K-2 Geometry for Grades Pre-K-2 Reasoning and Proof for Grades Pre-K-8 Multiplication and Division for Grades 3-5 Rational Numbers for Grades 3-5 Algebraic Ideas and Readiness for Grades 3-5 Geometric Shapes and Solids for Grades 3-5 Ratio, Proportion and Proportionality for Grades 6-8 Expressions and Equations for Grades 6-8 Measurement for Grades 6-8 Data Analysis and Statistics for Grades 6-8 Function for Grades 9-12 Geometric Relationships for Grades 9-12 Reasoning and Proof for Grades 9-12 Statistics for Grades 9-12

Author : Susan O'Connell
Publisher : Heinemann Educational Books
ISBN 13 : 9780325029627
Total Pages : 0 pages
Book Rating : 4.28/5 ( download)

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Download or read book Mastering the Basic Math Facts in Multiplication and Division written by Susan O'Connell and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an approach to teaching basic math facts to young students, featuring instructional strategies, tips, and classroom activities. Includes a CD-ROM with customizable activities, templates, recording sheets, and teacher tools.

Author : Great Source
Publisher : Great Source Education Group Incorporated
ISBN 13 : 9780547684581
Total Pages : 48 pages
Book Rating : 4.84/5 ( download)

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Download or read book Math in Focus: Singapore Math Big Book written by Great Source and published by Great Source Education Group Incorporated. This book was released on 2011-07 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math in Focus℗ʼ is the U.S. edition of Singapore's most widely used primary program, My Pals are Here! Maths. Correlated to the Common Core Standards and aligned to the Singapore Mathematics Framework, Math in Focus℗ʼ provides world-class mathematics instruction that meets the specific needs of U.S. students.