Mathematics Classrooms That Promote Understanding
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Mathematics Classrooms That Promote Understanding
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Author : Elizabeth Fennema
language : en
Publisher: Routledge
Release Date : 1999-04-01
Mathematics Classrooms That Promote Understanding written by Elizabeth Fennema and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-04-01 with Education categories.
Mathematics Classrooms That Promote Understanding synthesizes the implications of research done by the National Center for Research in Mathematical Sciences on integrating two somewhat diverse bodies of scholarly inquiry: the study of teaching and the study of learning mathematics. This research was organized around content domains and/or continuing issues of education, such as equity and assessment of learning, and was guided by two common goals--defining the mathematics content of the K-12 curriculum in light of the changing mathematical needs of citizens for the 21st century, and identifying common components of classrooms that enable students to learn the redefined mathematics with understanding. To accomplish these goals, classrooms in which instruction facilitated the growth of understanding were established and/or studied. This volume reports and discusses the findings which grew out of this research, and subsequent papers and discussions among the scholars engaged in the endeavor. Section I, "Setting the Stage," focuses on three major threads: What mathematics should be taught; how we should define and increase students' understanding of that mathematics; and how learning with understanding can be facilitated for all students. Section II, "Classrooms That Promote Understanding," includes vignettes from diverse classrooms that illustrate classroom discourse, student work, and student engagement in the mathematics described in Chapter 1 as well as the mental activities described in Chapter 2. These chapters also illustrate how teachers deal with the equity concerns described in Chapter 3. Section III addresses "Developing Classrooms That Promote Understanding." The knowledge of the teaching/learning process gained from the research reported in this volume is a necessary prerequisite for implementing the revisions called for in the current reform movement. The classrooms described show that innovative reform in teaching and learning mathematics is possible. Unlike many volumes reporting research, this book is written at a level appropriate for master's degree students. Very few references are included in the chapters themselves; instead, each chapter includes a short annotated list of articles for expanded reading which provides the scholarly basis and research substantiation for this volume.
Making Sense
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Author : James Hiebert
language : en
Publisher: Heinemann Educational Books
Release Date : 1997
Making Sense written by James Hiebert and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Education categories.
This book presents several key principles for teaching mathematics for understanding that you can use to reflect on your own teaching, make more informed decisions, and develop more effective systems of instruction.
Building Thinking Classrooms In Mathematics Grades K 12
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Author : Peter Liljedahl
language : en
Publisher: Corwin Press
Release Date : 2020-09-28
Building Thinking Classrooms In Mathematics Grades K 12 written by Peter Liljedahl and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-28 with Education categories.
A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.
Reasoning Communication And Connections In Mathematics Yearbook 2012 Association Of Mathematics Educators
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Author : Berinderjeet Kaur
language : en
Publisher: World Scientific
Release Date : 2012-04-20
Reasoning Communication And Connections In Mathematics Yearbook 2012 Association Of Mathematics Educators written by Berinderjeet Kaur and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-20 with Mathematics categories.
This fourth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Reasoning, Communication and Connections in Mathematics is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reasoning, communication and connections in mathematics classrooms.Several renowned international researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three major themes: mathematical tasks, classroom discourse, and connectivity within and beyond mathematics, shape the ideas underpinning reasoning, communication and connections in these chapters. The book makes a significant contribution towards mathematical processes essential for learners of mathematics. It is a good resource for mathematics educators and research students.
The Five Practices In Practice Middle School
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Author : Margaret (Peg) Smith
language : en
Publisher: Corwin Press
Release Date : 2019-02-12
The Five Practices In Practice Middle School written by Margaret (Peg) Smith and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-12 with Education categories.
Take a deep dive into the five practices for facilitating productive mathematical discussions Enhance your fluency in the five practices—anticipating, monitoring, selecting, sequencing, and connecting—to bring powerful discussions of mathematical concepts to life in your middle school classroom. This book unpacks the five practices for deeper understanding and empowers you to use each practice effectively. Video excerpts vividly illustrate the five practices in action in real middle school classrooms Key questions help you set learning goals, identify high-level tasks, and jumpstart discussion Prompts guide you to be prepared for and overcome common challenges Includes planning templates, sample lesson plans and completed monitoring tools, and mathematical tasks.
Teaching English And Maths In Fe
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Author : David Allan
language : en
Publisher: Learning Matters
Release Date : 2017-05-22
Teaching English And Maths In Fe written by David Allan and has been published by Learning Matters this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-22 with Education categories.
This book is a guide for all teachers in the FE and Skills Sector, regardless of their discipline. It explores how FE teachers can address the mathematics and English needs of all learners, to redress the skills gap that is a current focus. The text explores what works in the sector, examining the barriers to learning and how all learners can be included. It takes a focused look at what works for the vocational learners who have not succeeded in a school setting, and helps tackle the problem of low motivation in learners. The text goes beyond simply providing strategies to follow and includes background theory and detailed case studies to enhance your understanding of different approaches.
Developing Primary Mathematics Teaching
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Author : Tim Rowland
language : en
Publisher: SAGE
Release Date : 2009-03-09
Developing Primary Mathematics Teaching written by Tim Rowland and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-09 with Education categories.
How can KS1/2 teachers improve their mathematics teaching? This book helps readers to become better, more confident teachers of mathematics by enabling them to focus critically on what they know and what they do in the classroom. Building on their close observation of primary mathematics classrooms, the authors provide those starting out in the teaching profession with a four-stage framework which acts as a tool of support for developing their teaching: - making sense of foundation knowledge - focusing on what teachers know about mathematics - transforming knowledge - representing mathematics to learners through examples, analogies, illustrations and demonstrations - connection - helping learners to make sense of mathematics through understanding how ideas and concepts are linked to each other - contingency - what to do when the unexpected happens Each chapter includes practical activities, lesson descriptions and extracts of classroom transcripts to help teachers reflect on effective practice.
Teaching Mathematics In Diverse Classrooms
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Author : Benny F. Tucker
language : en
Publisher: Allyn & Bacon
Release Date : 2013
Teaching Mathematics In Diverse Classrooms written by Benny F. Tucker and has been published by Allyn & Bacon this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Education categories.
Through a variety of straight-forward, easy-to-use lesson plans and learning activities that illustrate specific mathematical concepts and skills, this title emphasizes the premise that effective mathematics teaching promotes understanding-and understanding provides sound bases for skill development and better retention of material.
Understanding Mathematics And Science Matters
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Author : Thomas A. Romberg
language : en
Publisher: Routledge
Release Date : 2005-03-23
Understanding Mathematics And Science Matters written by Thomas A. Romberg and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-23 with Education categories.
The research reported in this book provides reliable evidence on and knowledge about mathematics and science instruction that emphasizes student understanding--instruction consistent with the needs of students who will be citizens in an increasingly demanding technological world. The National Center for Improving Student Learning in Mathematics and Science--established in 1996 as a research center and funded by the U.S. Department of Education--was instrumental in developing instructional practices supportive of high student achievement in and understanding of mathematics and science concepts. NCISLA researchers worked with teachers, students, and administrators to construct learning environments that exemplify current research and theory about effective learning of mathematics and science. The careful programs of research conducted examined how instructional content and design, assessment, professional development, and organizational support can be designed, implemented, and orchestrated to support the learning of all students. This book presents a summary of the concepts, findings, and conclusions of the Center's research from 1996-2001. In the Introduction, the chapters in Understanding Mathematics and Science Matters are situated in terms of the reform movement in school mathematics and school science. Three thematically structured sections focus on, respectively, research directed toward what is involved when students learn mathematics and science with understanding; research on the role of teachers and the problems they face when attempting to teach their students mathematics and science with understanding; and a collaboration among some of the contributors to this volume to gather information about classroom assessment practices and organizational support for reform. The goal of this book is to help educational practitioners, policymakers, and the general public to see the validity of the reform recommendations, understand the recommended guidelines, and to use these to transform teaching and learning of mathematics and science in U.S. classrooms.
What We Know About Mathematics Teaching And Learning
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Author : McREL
language : en
Publisher: Solution Tree Press
Release Date : 2011-09-20
What We Know About Mathematics Teaching And Learning written by McREL and has been published by Solution Tree Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-20 with Education categories.
This book supports mathematics education reform and brings the rich world of education research and practice to pre-K–12 educators. Designed for accessibility, each chapter is broken down into important questions. For each question, the authors provide background information from a research perspective, offer implications for improving classroom instruction, and list resources for further reading.