International Comparisons in Mathematics Education

Author: Ian Huntly
Publisher: Routledge
ISBN: 113570211X
Format: PDF, ePub, Docs
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A critical overview of the current debate and topical thinking on international comparative investigations in mathematics education. The contributors are all major figures in international comparisons in mathematics. The book highlights strengths and weaknesses in various systems worldwide, allowing teachers, researchers and academics to compare and contrast different approaches. A significant contribution to the international debate on standards in mathematics.

International Comparisons in Mathematics Education

Author: Ian Huntly
Publisher: Routledge
ISBN: 1135702128
Format: PDF, Kindle
Download Now
A critical overview of the current debate and topical thinking on international comparative investigations in mathematics education. The contributors are all major figures in international comparisons in mathematics. The book highlights strengths and weaknesses in various systems worldwide, allowing teachers, researchers and academics to compare and contrast different approaches. A significant contribution to the international debate on standards in mathematics.

Winning the Math Wars

Author: Martin L. Abbott
Publisher: University of Washington Press
ISBN: 0295800690
Format: PDF, Kindle
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Washington State is about to enter a new phase of the "math wars." Since the late 1980s, the debate over how best to teach mathematics to schoolchildren has raged worldwide among educators, politicians, and parents. The stakes are high. To operate effectively in a global, twenty-first-century economy and polity, the United states must provide an education in mathematics that is both excellent and equitable. In this volume, four scholars at the Washington School Research Center (WSRC) at Seattle Pacific University present original research drawn from statistical studies of state educational data and from thousands of classroom observations carried out by The BERC Group. They assess the current state of math education and review its history and development. The authors also provide a dispassionate review of the extensive international, national, and state literature. The in-depth observational research in Winning the Math Wars confirms that the real issue is neither the approach to teaching--traditional or reform--nor the type of curriculum. If America's goal of educational equity and excellence is to be achieved, then math teachers everywhere must be fully supported in developing the specific skills that are ideal for educating all students. The authors discussion focus on four principles for improving math teaching and learning: fidelity to reform efforts by all involved; an emphasis on instruction and instructional tools; the critical nature of mathematical knowledge; and the need for transformational change. Winning the Math Wars is an important book for policy makers, school leaders, practitioners of mathematics education, parents, and anyone who wants to make sense of the "math wars."

How Chinese Learn Mathematics

Author: Lianghuo Fan
Publisher: World Scientific
ISBN: 9812560149
Format: PDF
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- Represents a concerted research effort in mathematics education of Chinese learners, the first of its kind - Contains contributions from the world's leading scholars and most active researchers in this area and beyond - Provides comprehensive coverage and insiders' perspectives on relevant issues

Culturally Responsive Mathematics Education

Author: Brian Greer
Publisher: Routledge
ISBN: 1135593337
Format: PDF, Mobi
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At a time of rapid demographic change and amidst the many educational challenges facing the US, this critical new collection presents mathematics education from a culturally responsive perspective. It tackles the most crucial issues of teaching mathematics to an ethnically diverse school population, including the political dimension of mathematics education within the context of governmental efforts to improve achievement in school mathematics. Culturally Responsive Mathematics Education moves beyond a point of view that is internal to mathematics education as a discipline, and instead offers a broad perspective of mathematics as a significant, liberating intellectual force in our society. The editors of this volume bring together contributions from many of the leading teachers, teacher educators, researchers, scholars, and activists who have been working to reorient mathematics education in ways that reflect mathematics education as accomplished, first and foremost, through human interactions.

Engaging Young Children in Mathematics

Author: Douglas H. Clements
Publisher: Routledge
ISBN: 0805842101
Format: PDF, Mobi
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Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's mathematics; federal government officials; mathematicians; mathematics educators; researchers from mathematics education, early childhood education, and psychology; curriculum developers; teachers; policymakers; and professionals from organizations such as the National Conference of Teachers of Mathematics and the National Association for the Education of Young Children. The main goal of the Conference was to work collectively to help those responsible for framing and implementing early childhood mathematics standards. Although it has its roots in the Conference, the expanded scope of the standards and recommendations covered in this book includes the full range of kindergarten to grade 2. The volume is organized into two main parts and an online appendix (http://www.gse.buffalo.edu/org/conference/). Part One, Major Themes and Recommendations, offers a framework for thinking about pre-kindergarten - grade 2 mathematics education and specific recommendations. Part Two, Elaboration of Major Themes and Recommendations, provides substantive detail regarding young students' understandings of mathematical ideas. Each Part includes five parallel subsections: "Standards in Early Childhood Education"; "Math Standards and Guidelines"; "Curriculum, Learning, Teaching, and Assessment"; "Professional Development"; and "Toward the Future: Implementation and Policy." As a whole the book: * presents comprehensive summaries of research that provide specific guidelines for standards, curriculum, and teaching; * takes the recent reports and recommendations for early childhood mathematics education to the next level; * integrates practical details and research throughout; and * provides a succinct, but thorough review of research on the topics, sequences, and learning trajectories that children can and should learn at each of their first years of life, with specific developmental guidelines that suggest appropriate content for each topic for each year from 2-year-olds to 7-year-olds. This is an indispensable volume for mathematics educators, researchers, curriculum developers, teachers and policymakers, including those who create standards, scope and sequences, and curricula for young children and professional teacher development materials, and students in mathematics education, early childhood trainers, teacher educators, and faculty in mathematics education.

Knowing and Teaching Elementary Mathematics

Author: Liping Ma
Publisher: Routledge
ISBN: 1135149496
Format: PDF, Kindle
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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.

The Philosophy of Mathematics Education

Author: Paul Ernest
Publisher: Springer
ISBN: 3319405691
Format: PDF, Mobi
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This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its overall importance and use? It provides overviews of critical mathematics education, and the most relevant modern movements in the philosophy of mathematics. A case study is provided of an emerging research tradition in one country. This is the Hermeneutic strand of research in the philosophy of mathematics education in Brazil. This illustrates one orientation towards research inquiry in the philosophy of mathematics education. It is part of a broader practice of ‘philosophical archaeology’: the uncovering of hidden assumptions and buried ideologies within the concepts and methods of research and practice in mathematics education. An extensive bibliography is also included.

Early Childhood Mathematics Education Research

Author: Julie Sarama
Publisher: Routledge
ISBN: 1135592497
Format: PDF, Mobi
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This important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.

Lesson Study

Author: Maitree Inprasitha
Publisher: World Scientific
ISBN: 9814641081
Format: PDF
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Classroom Innovations through Lesson Study is an APEC EDNET (Asia-Pacific Economic Cooperation Education Network) project that aims to improve the quality of education in the area of mathematics. This book includes challenges of lesson study implementation from members of the APEC economies. Lesson study is one of the best ways to improve the quality of teaching. It is a model approach for improvement of teacher education across the globe. This book focuses on mathematics education, teacher education, and curriculum implementation and reforms. Contents:The Role of Lesson Study in Overcoming Challenges in Mathematics Education:Mathematics Education for the Knowledge-Based Society (Alan J Bishop)Mathematical Thinking for Classroom Decision Making (Kaye Stacey)Setting Lesson Study within a Long-Term Framework of Learning (David Tall)Lesson Study: An Essential Process for Improving Mathematics Teaching and Learning (Akihiko Takahashi)Comparative Study of Mathematics Classrooms — What can be Learned from the TIMSS 1999 Video Study? (Frederick K S Leung)The Science of Lesson Study in the Problem Solving Approach (Masami Isoda)Preparing Ground for the Introduction of Lesson Study in Thailand (Maitree Inprasitha)Perspectives on Lesson Study and Professional Development:History of Lesson Study to Develop Good Practices in Japan (Shizumi Shimizu & Kimiho Chino)What have We Learned about Lesson Study Outside Japan? (Catherine Lewis)Enhancing Mathematics Teachers' Professional Development through Lesson Study ~ A Case Study in Singapore ~ (Ban-Har Yeap, Peggy Foo & Poh Suan Soh)Using Lesson Study to Develop an Approach to Problem Solving: Adding and Subtracting Fractions (Kazuyoshi Okubo & Hiroko Tsuji)Prospective Teacher Education in Mathematics through Lesson Study (Maitree Inprasitha)In-service Teacher Education in Mathematics through Lesson Study (Soledad A Ulep)Lesson Study for Illustrating Innovative Approaches in the Classroom:Transforming Education through Lesson Study: Thailand's Decade-Long Journey (Maitree Inprasitha)Mathematics Teachers Professional Development through Lesson Study in Indonesia (Marsigit)Lesson Study in Chile (Grecia Gálvez)Initiating Lesson Study to Promote Good Practices: A Malaysian Experience (Chap Sam Lim & Chin Mon Chiew)Using Lesson Study as a Means to Innovation for Teaching and Learning Mathematics in Vietnam: Research Lesson on the Property of the Three Medians in a Triangle (Tran Vui)Lesson Study in Singapore: A Case of Division with Remainder in a Third Grade Mathematics Classroom (Yanping Fang & Christine Kim Eng Lee)Enabling Teachers to Introduce Innovations in the Classroom through Lesson Study (Soledad A Ulep)What is a Good Lesson in Japan? An Analysis (Takeshi Miyakawa)Using Lesson Study to Connect Procedural Knowledge with Mathematical Thinking (Patsy Wang-Iverson & Marian Palumbo) Readership: Mathematics educators of teacher training colleges, mathematics teachers, prospective teachers (elementary and secondary school) and undergraduate students in mathematics. Key Features:Presents the world reform movement by top researchersIncludes the challenges of lesson study and videos of model lessons in the world (lesson videos will be available on the website: http://www.criced.tsukuba.ac.jp/math/apec)Includes the Japanese teaching methods called “problem-solving approaches”Keywords:Lesson Study;Mathematics;Mathematics Education;Elementary School;Secondary School;Open-Ended Approach;Problem Solving;Teacher Education;Pedagogical Content Knowledge;Action Research;Lesson Videos;Curriculum Standards