Reasoning Algebraically About Operations Casebook

Author : Deborah Schifter
Publisher : Dale Seymour Publications
ISBN 13 : 9781428405172
Total Pages : 0 pages
Book Rating : 4.78/5 ( download)

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Download or read book Reasoning Algebraically about Operations Casebook written by Deborah Schifter and published by Dale Seymour Publications. This book was released on 2007-01-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Participants examine generalizations at the heart of the study of operations in the elementary grades. They express these generalizations in common language and in algebraic notation, develop arguments based on representations of the operations, study what it means to prove a generalization, and extend their generalizations and arguments when the domain under consideration expands from whole numbers to integers"--DMI website

Author : Deborah Schifter
Publisher :
ISBN 13 : 9781507858776
Total Pages : 202 pages
Book Rating : 4.79/5 ( download)

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Download or read book Reasoning Algebraically about Operations written by Deborah Schifter and published by . This book was released on 2015-02-13 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Deborah Schifter
Publisher : Createspace Independent Pub
ISBN 13 : 9781508446194
Total Pages : 282 pages
Book Rating : 4.99/5 ( download)

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Download or read book Reasoning Algebraically about Operations Facilitator's Guide written by Deborah Schifter and published by Createspace Independent Pub. This book was released on 2015-03-02 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: What are the "big ideas" in elementary school mathematics? How do students understand them? How can teachers best offer help and support as their students grapple with these ideas? These and other questions about the practice of teaching K-8 mathematics are the focus of Developing Mathematical Ideas (DMI), a powerful, engaging professional development curriculum for current and future teachers. At the heart of a DMI seminar is the casebook, sets of classroom episodes (cases) illustrating student thinking as described by their teachers. In addition to case discussions, the curriculum offers teachers opportunities: to explore mathematics in lessons led by facilitators; to share and discuss the work of their own students; to view and discuss DVD clips of mathematics classrooms; to write their own classroom cases; and to read overviews of related research.

Author : Deborah Schifter
Publisher :
ISBN 13 : 9781873539354
Total Pages : 171 pages
Book Rating : 4.55/5 ( download)

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Download or read book Reasoning Algebraically about Operations in the Domains of Whole Numbers and Integers written by Deborah Schifter and published by . This book was released on 2018 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Margaret S. Smith
Publisher : IAP
ISBN 13 : 1623969484
Total Pages : 156 pages
Book Rating : 4.86/5 ( download)

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Download or read book Cases in Mathematics Teacher Education written by Margaret S. Smith and published by IAP. This book was released on 2015-10-01 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Orginally published in 2008) The goal of AMTE Monograph 4, "Cases in Mathematics Teacher Education: Tools for Developing Knowledge Needed for Teaching", is to provide detailed accounts of case use that will inform the mathematics teacher education community on the range of ways in which cases can be used to foster teacher learning and the capacity to reflect on and learn from teaching. The chapters in this monograph describe the use of cases with preservice and practicing teachers at all levels K - 12, in content and methods courses as well as professional development settings, and focus on developing various aspects of teachers' knowledge base (i.e., content, pedagogy, and students as learners). Hence, Monograph 4 should prove to be a superb resource for mathematics teacher educators.

Author :
Publisher :
ISBN 13 : 9780743919654
Total Pages : 0 pages
Book Rating : 4.53/5 ( download)

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Download or read book OPERATIONS & ALGEBRAIC REASONING GRADE 6 SET. written by and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Meixia Ding
Publisher : Routledge
ISBN 13 : 1000370356
Total Pages : 223 pages
Book Rating : 4.55/5 ( download)

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Download or read book Teaching Early Algebra through Example-Based Problem Solving written by Meixia Ding and published by Routledge. This book was released on 2021-04-07 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-based problem solving" (TEPS). Recognizing young children’s particular cognitive and developmental capabilities, this book powerfully argues for the importance of infusing algebraic thinking into early grade mathematics teaching and illustrates how this has been achieved by teachers in U.S. and Chinese contexts. Documenting best practice and students’ responses to example-based instruction, the text demonstrates that this TEPS approach – which involves the use of worked examples, representations, and deep questions – helps students learn and master fundamental mathematical ideas, making it highly effective in developing algebraic readiness and mathematical understanding. This text will benefit post-graduate students, researchers, and academics in the fields of mathematics, STEM, and elementary education, as well as algebra research more broadly. Those interested in teacher education, classroom practice, and developmental and cognitive psychology will also find this volume of interest.

Author : Despina A. Stylianou
Publisher : Routledge
ISBN 13 : 1135856753
Total Pages : 408 pages
Book Rating : 4.55/5 ( download)

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Download or read book Teaching and Learning Proof Across the Grades written by Despina A. Stylianou and published by Routledge. This book was released on 2010-09-23 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Co-Publication of Routledge for the National Council of Teachers of Mathematics (NCTM) In recent years there has been increased interest in the nature and role of proof in mathematics education; with many mathematics educators advocating that proof should be a central part of the mathematics education of students at all grade levels. This important new collection provides that much-needed forum for mathematics educators to articulate a connected K-16 "story" of proof. Such a story includes understanding how the forms of proof, including the nature of argumentation and justification as well as what counts as proof, evolve chronologically and cognitively and how curricula and instruction can support the development of students’ understanding of proof. Collectively these essays inform educators and researchers at different grade levels about the teaching and learning of proof at each level and, thus, help advance the design of further empirical and theoretical work in this area. By building and extending on existing research and by allowing a variety of voices from the field to be heard, Teaching and Learning Proof Across the Grades not only highlights the main ideas that have recently emerged on proof research, but also defines an agenda for future study.

Author : Deborah Schifter
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.22/5 ( download)

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Download or read book Number and Operations written by Deborah Schifter and published by . This book was released on 1999 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developing mathematical ideas : part 1, building a system of tens : DS21961.

Author : James J. Kaput
Publisher : Routledge
ISBN 13 : 1351577093
Total Pages : 552 pages
Book Rating : 4.90/5 ( download)

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Download or read book Algebra in the Early Grades written by James J. Kaput and published by Routledge. This book was released on 2017-09-25 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be “the initial topical choice for focused and coordinated research and development [in K-12 mathematics].” This book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: The Nature of Early Algebra Students’ Capacity for Algebraic Thinking Issues of Implementation: Taking Early Algebra to the Classrooms. The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Grades aims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.