Knowing Mathematics
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Knowing And Teaching Elementary Mathematics
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Author : Liping Ma
language : en
Publisher: Routledge
Release Date : 2010-03-26
Knowing And Teaching Elementary Mathematics written by Liping Ma and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-26 with Education categories.
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 Learning Mathematics For Teaching
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Author : National Research Council
language : en
Publisher: National Academies Press
Release Date : 2001-02-25
Knowing And Learning Mathematics For Teaching written by National Research Council and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-25 with Education categories.
There are many questions about the mathematical preparation teachers need. Recent recommendations from a variety of sources state that reforming teacher preparation in postsecondary institutions is central in providing quality mathematics education to all students. The Mathematics Teacher Preparation Content Workshop examined this problem by considering two central questions: What is the mathematical knowledge teachers need to know in order to teach well? How can teachers develop the mathematical knowledge they need to teach well? The Workshop activities focused on using actual acts of teaching such as examining student work, designing tasks, or posing questions, as a medium for teacher learning. The Workshop proceedings, Knowing and Learning Mathematics for Teaching, is a collection of the papers presented, the activities, and plenary sessions that took place.
The Math Teachers Know
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Author : Brent Davis
language : en
Publisher: Routledge
Release Date : 2013-07-18
The Math Teachers Know written by Brent Davis and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-18 with Education categories.
What sorts of mathematics competencies must teachers have in order to teach the discipline well? This book offers a novel take on the question. Most research is focused on explicit knowledge–that is, on the sorts of insights that might be specified, catalogued, taught, and tested. In contrast, this book focuses on the tacit dimensions of teachers’ mathematics knowledge that precede and enable their competencies with formal mathematics. It highlights the complexity of this knowledge and offers strategies to uncover it, analyze it, and re-synthesize it in ways that will make it more available for teaching. Emerging from 10 years of collaborative inquiry with practicing teachers, it is simultaneously informed by the most recent research and anchored to the realities of teachers’ lives in classrooms.
Knowing And Value
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Author : Frederick Ferre
language : en
Publisher: SUNY Press
Release Date : 1998-01-01
Knowing And Value written by Frederick Ferre and has been published by SUNY Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Philosophy categories.
Offers a postmodern theory of knowledge based on an ecological worldview that stresses real relations and the pervasiveness of values.
You Have Got To Know Mathematics
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Author : Dhaval Vyas
language : en
Publisher: Partridge Publishing
Release Date : 2014-01-29
You Have Got To Know Mathematics written by Dhaval Vyas and has been published by Partridge Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-29 with Mathematics categories.
The book is a general description and a reflection of my journey in unearthing the mysteries of mathematics as a subject and an approach toward understanding and learning it. It will not necessarily give you tools but will prepare you to approach the subject with confidence and an open mind-set. The book classifies the evolution of math, from prehistoric times to current and contemporary issues, and the future affecting the subject. It also gives advice on the approach of all those who come in contact with the subject, be it teachers, students, parents, or administrators. The examples and views are my own, and I hold no one responsible for using them. Its a nonfiction book based on facts researched and reproduced, along with my personal view and experience gathered over the years. All criticism and feedback is welcome and can be mandated if need be.
Handbook Of International Research In Mathematics Education
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Author : Lyn D. English
language : en
Publisher: Routledge
Release Date : 2015-07-30
Handbook Of International Research In Mathematics Education written by Lyn D. English and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-30 with Education categories.
This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education. Authored by an array of internationally recognized scholars and edited by Lyn English and David Kirshner, this collection brings together overviews and advances in mathematics education research spanning established and emerging topics, diverse workplace and school environments, and globally representative research priorities. New perspectives are presented on a range of critical topics including embodied learning, the theory-practice divide, new developments in the early years, educating future mathematics education professors, problem solving in a 21st century curriculum, culture and mathematics learning, complex systems, critical analysis of design-based research, multimodal technologies, and e-textbooks. Comprised of 12 revised and 17 new chapters, this edition extends the Handbook’s original themes for international research in mathematics education and remains in the process a definitive resource for the field.
Encyclopedia Of Mathematics Education
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Author : Louise Grinstein
language : en
Publisher: Routledge
Release Date : 2001-03-15
Encyclopedia Of Mathematics Education written by Louise Grinstein and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-15 with Education categories.
This single-volume reference is designed for readers and researchers investigating national and international aspects of mathematics education at the elementary, secondary, and post-secondary levels. It contains more than 400 entries, arranged alphabetically by headings of greatest pertinence to mathematics education. The scope is comprehensive, encompassing all major areas of mathematics education, including assessment, content and instructional procedures, curriculum, enrichment, international comparisons, and psychology of learning and instruction.
International Handbook Of Mathematics Education
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Author : Alan Bishop
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
International Handbook Of Mathematics Education written by Alan Bishop and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.
ALAN J. BISHOP Monash University, Clayton, Victoria, Australia RATIONALE Mathematics Education is becoming a well-documented field with many books, journals and international conferences focusing on a variety of aspects relating to theory, research and practice. That documentation also reflects the fact that the field has expanded enormously in the last twenty years. At the 8th International Congress on Mathematics Education (ICME) in Seville, Spain, for example, there were 26 specialist Working Groups and 26 special ist Topic Groups, as well as a host of other group activities. In 1950 the 'Commission Internationale pour I 'Etude et l' Amelioration de l'Enseignement des Mathematiques' (CIEAEM) was formed and twenty years ago another active group, the 'International Group for the Psychology of Mathematics Education' (PME), began at the third ICME at Karlsruhe in 1976. Since then several other specialist groups have been formed, and are also active through regular conferences and publications, as documented in Edward Jacobsen's Chapter 34 in this volume.
Forms Of Mathematical Knowledge
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Author : Dina Tirosh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Forms Of Mathematical Knowledge written by Dina Tirosh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Education categories.
What mathematics is entailed in knowing to act in a moment? Is tacit, rhetorical knowledge significant in mathematics education? What is the role of intuitive models in understanding, learning and teaching mathematics? Are there differences between elementary and advanced mathematical thinking? Why can't students prove? What are the characteristics of teachers' ways of knowing? This book focuses on various types of knowledge that are significant for learning and teaching mathematics. The first part defines, discusses and contrasts psychological, philosophical and didactical issues related to various types of knowledge involved in the learning of mathematics. The second part describes ideas about forms of mathematical knowledge that are important for teachers to know and ways of implementing such ideas in preservice and in-service education. The chapters provide a wide overview of current thinking about mathematics learning and teaching which is of interest for researchers in mathematics education and mathematics educators. Topics covered include the role of intuition in mathematics learning and teaching, the growth from elementary to advanced mathematical thinking, the significance of genres and rhetoric for the learning of mathematics and the characterization of teachers' ways of knowing.
The Mathematical Education Of Teachers Ii
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Author : Conference Board of the Mathematical Sciences
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
The Mathematical Education Of Teachers Ii written by Conference Board of the Mathematical Sciences and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Education categories.
This report is a resource for those who teach mathematics and statistics to PreK-12 mathematics teachers, both future teachers and those who already teach in our nation's schools. The report makes recommendations for the mathematics that teachers should know and how they should come to know that mathematics. It urges greater involvement of mathematicians and statisticians in teacher education so that the nation's mathematics teachers have the knowledge, skills, and dispositions needed to provide students with a mathematics education that ensures high school graduates are college- and career-ready as envisioned by the Common Core State Standards. This report draws on the experience and knowledge of the past decade to: Update the 2001 Mathematical Education of Teachers report's recommendations for the mathematical preparation of teachers at all grade levels: elementary, middle, and high school. Address the professional development of teachers of mathematics. Discuss the mathematical knowledge needed by teachers at different grade levels and by others who teach mathematics such as elementary mathematics specialists, special education teachers, and early childhood educators. Each of the MET II writers is a mathematician, statistician, or mathematics educator with substantial expertise and experience in mathematics education. Among them are principal investigators for Math Science Partnerships as well as past presidents and chairs of the American Statistical Association, Association of Mathematics Teacher Educators, Association of State Supervisors of Mathematics, Conference Board of the Mathematical Sciences, and National Council of Teachers of Mathematics. The audience for this report includes all who teach mathematics to teachers--mathematicians, statisticians, and mathematics educators--and all who are responsible for the mathematical education of teachers--department chairs, educational administrators, and policy-makers at the national, state, school-district, and collegiate levels.