Knowing and Teaching Elementary Mathematics

Knowing and Teaching Elementary Mathematics PDF Author: Liping Ma
Publisher: Routledge
ISBN: 1135149496
Category : Education
Languages : en
Pages : 290

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Book Description
Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

Knowing and Teaching Elementary Mathematics

Knowing and Teaching Elementary Mathematics PDF Author: Liping Ma
Publisher: Routledge
ISBN: 1135149496
Category : Education
Languages : en
Pages : 290

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Book Description
Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

Task Design In Mathematics Education

Task Design In Mathematics Education PDF Author: Anne Watson
Publisher: Springer
ISBN: 331909629X
Category : Education
Languages : en
Pages : 339

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Book Description
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This open access book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.

The Professional Education and Development of Teachers of Mathematics

The Professional Education and Development of Teachers of Mathematics PDF Author: Ruhama Even
Publisher: Springer Science & Business Media
ISBN: 0387096019
Category : Education
Languages : en
Pages : 271

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Book Description
The premise of the 15th ICMI Study is that teachers are key to students' opportunities to learn mathematics. What teachers of mathematics know, care about, and do is a product of their experiences and socialization, together with the impact of their professional education. The Professional Education and Development of Teachers of Mathematics assembles important new international work- development, research, theory and practice - concerning the professional education of teachers of mathematics. As it examines critical areas to reveal what is known and what significant questions and problems warrant collective attention, the volume also contributes to the strengthening of the international community of mathematics educators. The Professional Education and Development of Teachers of Mathematics is of interest to the mathematics education community as well as to other researchers, practitioners and policy makers concerned with the professional education of teachers.

Third International Handbook of Mathematics Education

Third International Handbook of Mathematics Education PDF Author: M.A. (Ken) Clements
Publisher: Springer Science & Business Media
ISBN: 1461446848
Category : Mathematics
Languages : en
Pages : 1119

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Book Description
The four sections in this Third International Handbook are concerned with: (a) social, political and cultural dimensions in mathematics education; (b) mathematics education as a field of study; (c) technology in the mathematics curriculum; and (d) international perspectives on mathematics education. These themes are taken up by 84 internationally-recognized scholars, based in 26 different nations. Each of section is structured on the basis of past, present and future aspects. The first chapter in a section provides historical perspectives (“How did we get to where we are now?”); the middle chapters in a section analyze present-day key issues and themes (“Where are we now, and what recent events have been especially significant?”); and the final chapter in a section reflects on policy matters (“Where are we going, and what should we do?”). Readership: Teachers, mathematics educators, ed.policy makers, mathematicians, graduate students, undergraduate students. Large set of authoritative, international authors.​

Tools and Mathematics

Tools and Mathematics PDF Author: John Monaghan
Publisher: Springer
ISBN: 3319023969
Category : Education
Languages : en
Pages : 497

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Book Description
This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has five parts. The first part reflects on doing a mathematical task with different tools, followed by a mathematician's account of tool use in his work. The second considers prehistory and history: tools in the development from ape to human; tools and mathematics in the ancient world; tools for calculating; and tools in mathematics instruction. The third part opens with a broad review of technology and intellectual trends, circa 1970, and continues with three case studies of approaches in mathematics education and the place of tools in these approaches. The fourth part considers issues related to mathematics instructions: curriculum, assessment and policy; the calculator debate; mathematics in the real world; and teachers' use of technology. The final part looks to the future: task and tool design and new forms of activity via connectivity and computer games.

How Students (mis-) Understand Science and Mathematics

How Students (mis-) Understand Science and Mathematics PDF Author: Ruth Stavy
Publisher: Teachers College Press
ISBN: 9780807770412
Category : Education
Languages : en
Pages : 148

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Book Description
In this long-awaited book, Timothy J. Lensmire examines the problems and promise of progressive literacy education. He does this by developing a series of striking metaphors in which, for example, he imagines the writing workshop as a carnival or popular festival and the teacher as a novelist who writes her student-characters into more and less desirable classroom stories. Grounded in Lensmire's own and others' work in schools, Powerful Writing, Responsible Teaching makes powerful use of Bakhtin's theories of language and writing and Dewey's vision of schooling and democracy. Lensmire's book is, at once, a defense, a criticism, and a reconstruction of progressive and critical literacy approaches.

Teachers Caught in the Action

Teachers Caught in the Action PDF Author: Ann Lieberman
Publisher: Teachers College Press
ISBN: 9780807740996
Category : Education
Languages : en
Pages : 280

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Book Description
Because what we do in staff development can best be understood in terms of Contexts, Strategies, and Structures, the remainder of the book features distinguished educators who write from their own unique experiential and theoretical stances. Jacqueline Ancess describes how teachers in New York City secondary schools increase their own learning while improving student outcomes • Milbrey W. McLaughlin and Joel Zarrow demonstrate how teachers learn to use data to improve their practice and meet educational standards • Lynne Miller presents a case study of a long-lived school, university partnership • Beverly Falk recounts stories of teachers working together to develop performance assessments, to understand their student’s learning, to re-think their curriculum, and much more • Laura Stokes analyzes a school that successfully uses inquiry groups. There are further contributions (including some from novice teachers) by Anna Richert Ershler, Ann Lieberman, Diane Wood, Sarah Warshauer Freedman, and Joseph P. McDonald. These powerful exemplars from practice provide a much-needed overview of what matters and what really works in professional development today.

Pedagogy and Learning with ICT

Pedagogy and Learning with ICT PDF Author: Bridget Somekh
Publisher: Routledge
ISBN: 1134129890
Category : Computers
Languages : en
Pages : 214

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Book Description
Bridget Somekh draws on her experience of researching the introduction of ICT into education to look at ICT development over the last twenty years. The book provides a fascinating, in-depth analysis of the nature of learning, ICT pedagogies and the processes of change for teachers, schools and education systems. It covers the key issues relating to the innovation of ICT that have arisen over this period, including: the process of change educational vision for ICT teacher motivation and engagement the phenomenon of ‘fit’ to existing practices systemic constraints policy and evaluation of its implementation students’ motivation and engagement the penetration of ICT into the home online learning and the ‘disembodied’ teacher.

How to Draw 2

How to Draw 2 PDF Author: Walter Thomas Foster
Publisher: Walter Foster Library
ISBN: 9781939581013
Category : Drawing
Languages : en
Pages : 0

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Book Description
Helps you learn to draw step by step as it explores more advanced techniques, such as composition and perspective.

Theory and Practice of Lesson Study in Mathematics

Theory and Practice of Lesson Study in Mathematics PDF Author: Rongjin Huang
Publisher: Springer
ISBN: 3030040313
Category : Education
Languages : en
Pages : 856

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Book Description
This book brings together and builds on the current research efforts on adaptation, conceptualization, and theorization of Lesson Study (LS). It synthesizes and illustrates major perspectives for theorizing LS and enriches the conceptualization of LS by interpreting the activity as it is used in Japan and China from historical and cultural perspectives. Presenting the practices and theories of LS with practicing teachers and prospective teachers in more than 10 countries, it enables the reader to take a comparative perspective. Finally, the book presents and discusses studies on key aspects of LS such as lesson planning, post-lesson discussion, guiding theories, connection between research and practice, and upscaling. Lesson Study, which has originated in Asia as a powerful effective professional development model, has spread globally. Although the positive effects of lesson study on teacher learning, student learning, and curriculum reforms have been widely documented, conceptualization of and research on LS have just begun to emerge. This book, including 38 chapters contributed by 90 scholars from 21 countries, presents a truly international collaboration on research on and adaptation of LS, and significantly advances the development of knowledge about this process. Chapter 15: "How Variance and Invariance Can Inform Teachers’ Enactment of Mathematics Lessons" of this book is available open access under a CC BY 4.0 license at link.springer.com Theory and Practice of Lesson Study in Mathematics: An International Perspective shows that the power of Lesson Study to transform the role of teachers in classroom research cannot be explained by a simple replication model. Here we see Lesson Study being successful internationally when its key principles and practices are taken seriously and are adapted to meet local issues and challenges. (Max Stephens, Senior research fellow at The University of Melbourne) It works. Instruction improves, learning improves. Wide scale? Enduring? Deep impact? Lesson study has it. When something works as well as lesson study does, while alternative systems for improving instruction fail, or only succeed on small scale or evaporate as quickly as they show promise, it is time to understand how and why lesson study works. This volume brings the research on lesson study together from around the world. Here is what we already know and here is the way forward for research and practice informed by research. It is time to wake up and pay attention to what has worked so well, on wide scale for so long. (Phil Dara, A leading author of the Common Core State Standards of Mathematics in the U.S.)