Transforming Mathematics Instruction

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Transforming Mathematics Instruction

Author : Yeping Li,Edward A. Silver,Shiqi Li
Publisher : Springer
Page : 581 pages
File Size : 45,5 Mb
Release : 2014-07-05
Category : Education
ISBN : 9783319049939

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Transforming Mathematics Instruction by Yeping Li,Edward A. Silver,Shiqi Li Pdf

This book surveys and examines different approaches and practices that contribute to the changes in mathematics instruction, including (1) innovative approaches that bring direct changes in classroom instructional practices, (2) curriculum reforms that introduce changes in content and requirements in classroom instruction, and (3) approaches in mathematics teacher education that aim to improve teachers’ expertise and practices. It also surveys relevant theory and methodology development in studying and assessing mathematics instruction. Classroom instruction is commonly seen as one of the key factors contributing to students’ learning of mathematics, but much remains to be understood about teachers’ instructional practices that lead to the development and enactment of effective classroom instruction, and approaches and practices developed and used to transform classroom instruction in different education systems. Transforming Mathematics Instruction is organized to help readers learn not only from reading individual chapters, but also from reading across chapters and sections to explore broader themes, including: - Identifying what is important in mathematics for teaching and learning emphasized in different approaches; - Exploring how students’ learning is considered and facilitated through different approaches and practices; - Understanding the nature of various approaches that are valued in different systems and cultural contexts; - Probing culturally valued approaches in identifying and evaluating effective instructional practices. The book brings new research and insights into multiple approaches and practices for transforming mathematics instruction to the international community of mathematics education, with 25 chapters and four section prefaces contributed by 56 scholars from 10 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, teacher educators, curriculum developers, and graduate students interested in learning about different instructional practices, approaches for instructional transformation, and research in different education systems. It will help readers to reflect on approaches and practices that are useful for instructional changes in their own education systems, and also inspire them to identify and further explore new areas of research and program development in improving mathematics teaching and learning.

Content-focused Coaching

Author : Lucy West,Fritz C. Staub
Publisher : Heinemann Educational Books
Page : 0 pages
File Size : 42,7 Mb
Release : 2003
Category : Education
ISBN : 0325004625

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Content-focused Coaching by Lucy West,Fritz C. Staub Pdf

Content-Focused Coaching is a long-range professional development practice in which coaches work individually or with groups of classroom teachers.

Transforming Mathematics Teacher Education

Author : Tonya Gau Bartell,Corey Drake,Amy Roth McDuffie,Julia M. Aguirre,Erin E. Turner,Mary Q. Foote
Publisher : Springer
Page : 181 pages
File Size : 53,8 Mb
Release : 2019-08-01
Category : Education
ISBN : 9783030210175

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Transforming Mathematics Teacher Education by Tonya Gau Bartell,Corey Drake,Amy Roth McDuffie,Julia M. Aguirre,Erin E. Turner,Mary Q. Foote Pdf

This book builds on the Teachers Empowered to Advance Change in Mathematics (TEACH Math) project, which was an initiative that sought to develop a new generation of preK-8 mathematics teachers to connect mathematics, children’s mathematical thinking, and community and family knowledge in mathematics instruction – or what we have come to call children’s multiple mathematical knowledge bases in mathematics instruction, with an explicit focus on equity. Much of the work involved in the TEACH Math project included the development of three instructional modules for preK-8 mathematics methods courses to support the project’s goals. These activities were used and refined over eight semesters, and in Fall 2014 shared at a dissemination conference with other mathematics teacher educators from a variety of universities across the United States. Chapter contributions represent diverse program and geographical contexts and teach prospective and practicing teachers from a variety of socioeconomic and ethnic backgrounds, in particular providing accounts of supports, challenges, and tensions in implementing equity-based mathematics teacher education. The chapters supply rich evidence and illustrative examples of how other mathematics teacher educators and professional developers might make the modules work for their unique practices, courses, workshops, and prospective teachers/teachers. It promises to be an important resource for offering guidance and examples to those working with prospective teachers of mathematics who want to create positive, culturally responsive, and equity-based mathematics experiences for our nation’s youth.

Strategies for Mathematics Instruction and Intervention, K-5

Author : Chris Weber,Darlene Crane
Publisher : Solution Tree Press
Page : 208 pages
File Size : 51,7 Mb
Release : 2015-01-08
Category : Education
ISBN : 9781936763320

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Strategies for Mathematics Instruction and Intervention, K-5 by Chris Weber,Darlene Crane Pdf

Build a solid mathematics program by emphasizing prioritized learning goals and integrating RTI into your curriculum. Prepare students to move forward in mathematics learning, and ensure their continued growth in critical thinking and problem solving. With this book, you’ll discover an RTI model that provides the mathematics instruction, assessment, and intervention strategies necessary to meet the complex, diverse needs of students.

Good Questions

Author : Marian Small
Publisher : Teachers College Press
Page : 241 pages
File Size : 41,7 Mb
Release : 2012-01-01
Category : Education
ISBN : 9780807753132

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Good Questions by Marian Small Pdf

Expanded to include connections to Common Core State Standards, as well as National Council of Teachers of Mathematics (NCTM) standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K–8 classroom. In this bestseller, math education expert Marian Small explains two powerful and universal strategies that teachers can use across all math content: Open Questions and Parallel Tasks. Showing teachers how to get started and become expert with these strategies, Small also demonstrates more inclusive learning conversations that promote broader student participation and mathematical thinking required by CCSS. Specific strategies and examples for each grade band are organized around NCTM content strands: Number and Operations, Geometry, Measurement, Algebra, and Data Analysis and Probability.

Strengths-Based Teaching and Learning in Mathematics

Author : Beth McCord Kobett,Karen S. Karp
Publisher : Corwin
Page : 273 pages
File Size : 42,6 Mb
Release : 2020-02-27
Category : Education
ISBN : 9781544374901

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Strengths-Based Teaching and Learning in Mathematics by Beth McCord Kobett,Karen S. Karp Pdf

"This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.

State of the Art

Author : Carole B. Lacampagne
Publisher : Unknown
Page : 20 pages
File Size : 46,8 Mb
Release : 1993
Category : Government publications
ISBN : PURD:32754076263700

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State of the Art by Carole B. Lacampagne Pdf

The implementation of the National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards for School Mathematics" implies fundamental shifts in the teaching and learning of mathematics. Intended for those individuals who will be instrumental in the implementation of those changes--teachers, administrators, and parents--this document presents 10 ideas for transforming mathematics teaching and learning based on research and successful practical experience: (1) All students can and must learn mathematics, which should serve as a "pump," not a "filter"; (2) Teachers need to listen to students and incorporate into their instruction what they learn from listening; (3) Students learn mathematics best when they construct their own mathematical understanding; (4) Students need to learn more and different types of mathematics; (5) Mathematical discussion should be a daily part of classroom activity; (6) Teachers need to become "informed guides" to the learner; (7) Calculators, computers, and related technology can be effective tools in the teaching and learning of mathematics; (8) Students need shared learning experiences; (9) Curricular and pedagogical change in mathematics cannot occur without accompanying change in student assessment; and (10) Lasting change takes broad support. (Contains 14 references.) (MDH)

Improving Instruction in Algebra

Author : Margaret Schwan Smith,Edward A. Silver,Mary Kay Stein
Publisher : Unknown
Page : 150 pages
File Size : 50,5 Mb
Release : 2005
Category : Education
ISBN : 0807745308

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Improving Instruction in Algebra by Margaret Schwan Smith,Edward A. Silver,Mary Kay Stein Pdf

Helping students develop an understanding of mathematical ideas is a persistent challenge for teachers. This work focuses on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency.

Problem Solving in Mathematics Instruction and Teacher Professional Development

Author : Patricio Felmer,Peter Liljedahl,Boris Koichu
Publisher : Springer Nature
Page : 418 pages
File Size : 42,6 Mb
Release : 2019-11-22
Category : Education
ISBN : 9783030292157

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Problem Solving in Mathematics Instruction and Teacher Professional Development by Patricio Felmer,Peter Liljedahl,Boris Koichu Pdf

Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the role of teachers in problem-solving classrooms and their professional development, moving onto—secondly—the role of students when solving problems, with particular consideration of factors like group work, discussion, role of students in discussions and the effect of students’ engagement on their self-perception and their view of mathematics. Finally, the book considers the question of problem solving in mathematics instruction as it overlaps with problem design, problem-solving situations, and actual classroom implementation. The volume brings together diverse contributors from a variety of countries and with wide and varied experiences, combining the voices of leading and developing researchers. The book will be of interest to any reader keeping on the frontiers of research in problem solving, more specifically researchers and graduate students in mathematics education, researchers in problem solving, as well as teachers and practitioners.

Transformation - A Fundamental Idea of Mathematics Education

Author : Sebastian Rezat,Mathias Hattermann,Andrea Peter-Koop
Publisher : Springer Science & Business Media
Page : 409 pages
File Size : 52,9 Mb
Release : 2013-12-13
Category : Education
ISBN : 9781461434894

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Transformation - A Fundamental Idea of Mathematics Education by Sebastian Rezat,Mathias Hattermann,Andrea Peter-Koop Pdf

The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?

Teacher Learning of Ambitious and Equitable Mathematics Instruction

Author : Ilana Horn,Brette Garner
Publisher : Routledge
Page : 284 pages
File Size : 53,7 Mb
Release : 2022-03-17
Category : Education
ISBN : 9781000556384

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Teacher Learning of Ambitious and Equitable Mathematics Instruction by Ilana Horn,Brette Garner Pdf

Drawing on sociocultural learning theory, this book offers a groundbreaking theory of secondary mathematics teacher learning in schools, focusing on the transformation of instruction as a conceptual change project to achieve ambitious and equitable mathematics teaching. Despite decades of research showing the importance of ambitious and equitable teaching, few inroads have been made in most U.S. classrooms, and teacher learning in general remains undertheorized in most educational research. Illustrating their theory through closely documented case studies of secondary mathematics teachers’ learning and instructional practices, authors Horn and Garner explore the key conceptual issues teachers are required to work through in order to more fully realize ambitious and equitable teaching in their classrooms. By theorizing teacher learning from a sociocultural perspective and focusing on instructional practice, the authors make a unique contribution to the field of teacher learning. This book offers researchers, scholars, and teacher educators new theoretical and methodological tools for the elusive phenomenon of teacher learning, and provides instructional leaders and coaches with practical examples of how teachers shift their thinking and practice.

Mathematics Instruction and Tasks in a PLC at Work

Author : Timothy D. Kanold,Sarah Schuhl,Mona Toncheff,Bill Barnes,Jennifer Deinhart,Jessica Kanold-McIntyre,Matthew R. Larson
Publisher : Unknown
Page : 0 pages
File Size : 45,6 Mb
Release : 2024
Category : Mathematics
ISBN : 1958590665

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Mathematics Instruction and Tasks in a PLC at Work by Timothy D. Kanold,Sarah Schuhl,Mona Toncheff,Bill Barnes,Jennifer Deinhart,Jessica Kanold-McIntyre,Matthew R. Larson Pdf

"Mathematics Instruction and Tasks in a PLC at Work®, Second Edition by Mona Toncheff, Timothy D. Kanold, Sarah Schuhl, Bill Barnes, Jennifer Deinhart, Jessica Kanold-McIntyre, and Matthew R. Larson provides guidance for K-12 teachers to reflect on current lesson-design practices, compare those practices against high-quality standards of mathematics lesson design, and develop and use effective lessons that engage students within the mathematics classroom. Part of the Every Student Can Learn Mathematics series, it offers a comprehensive professional learning community (PLC) approach to sustaining deep change in mathematics achievement. The PLC at Work process is one of the best models that schools or districts can use to build a more equitable learning experience for students. Using the four critical questions of a PLC, teams will provide every mathematics student with common learning experiences, opportunities for sustained perseverance, and robust formative feedback. In this second edition, teachers will access new and updated tools to maximize their lesson-planning strategies in mathematics within the PLC framework"--

Improving Instruction in Geometry and Measurement

Author : Margaret Schwan Smith,Edward A. Silver,Mary Kay Stein
Publisher : Teachers College Press
Page : 166 pages
File Size : 53,7 Mb
Release : 2005-01-01
Category : Education
ISBN : 0807745316

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Improving Instruction in Geometry and Measurement by Margaret Schwan Smith,Edward A. Silver,Mary Kay Stein Pdf

Helping students develop an understanding of important mathematical ideas is a persistent challenge for teachers. In this book, one of a three-volume set, well-known mathematics educators Margaret Smith, Edward A. Silver, and Mary Kay Stein provide teachers of mathematics the support they need to improve their instruction. They focus on ways to engage upper elementary, middle school, and high school students in thinking, reasoning, and problem solving to build their mathematics understanding and proficiency. The content focus of Volume One is rational numbers and proportionality. Using materials that were developed under the NSF-funded COMET (Cases of Mathematics to Enhance Teaching) program, each volume in the set features cases from urban, middle school classrooms with ethnically, racially, and linguistically diverse student populations. Each case illustrates an instructional episode in the classroom of a teacher who is implementing standards-based instruction, the teachers' perspective, including their thoughts and actions as they interact with students and with key aspects of mathematical content, cognitively challenging mathematics activities that are built around samples of authentic classroom practice., and facilitation chapters to help professional developers "teach" the cases, including specific guidelines for facilitating discussions and suggestions for connecting the ideas presented in the cases to a teacher's own practice. As a complete set, this resource provides a basis on which to build a comprehensive professional development program to improve mathematics instruction and student learning.

Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age

Author : Niess, Margaret
Publisher : IGI Global
Page : 679 pages
File Size : 44,5 Mb
Release : 2016-04-22
Category : Education
ISBN : 9781522501213

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Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age by Niess, Margaret Pdf

The digital age provides ample opportunities for enhanced learning experiences for students; however, it can also present challenges for educators who must adapt to and implement new technologies in the classroom. The Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age is a critical reference source featuring the latest research on the development of educators’ knowledge for the integration of technologies to improve classroom instruction. Investigating emerging pedagogies for preservice and in-service teachers, this publication is ideal for professionals, researchers, and educational designers interested in the implementation of technology in the mathematics classroom.

Making Sense of Mathematics for Teaching High School

Author : Edward C. Nolan,Juli K. Dixon,Farhsid Safi,Erhan Selcuk Haciomeroglu
Publisher : Solution Tree Press
Page : 273 pages
File Size : 54,6 Mb
Release : 2016-05-19
Category : Education
ISBN : 9781942496496

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Making Sense of Mathematics for Teaching High School by Edward C. Nolan,Juli K. Dixon,Farhsid Safi,Erhan Selcuk Haciomeroglu Pdf

Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index