Teaching And Learning Mathematics Through Variation

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Teaching and Learning Mathematics through Variation

Rongjin Huang,Yeping Li
Teaching and Learning Mathematics through Variation Book PDF

Author : Rongjin Huang,Yeping Li
Publisher : Springer
Page : 460 pages
File Size : 46,7 Mb
Release : 2017-02-06
Category : Education
ISBN : 9789463007825

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Teaching and Learning Mathematics through Variation by Rongjin Huang,Yeping Li Pdf

"Efforts to improve mathematics teaching and learning globally have led to the ever-increasing interest in searching for alternative and effective instructional approaches from others. Students from East Asia, such as China and Japan, have consistently outperformed their counterparts in the West. Yet, Bianshi Teaching (teaching with variation) practice, which has been commonly used in practice in China, has been hardly shared in the mathematics education community internationally. This book is devoted to theorizing the Chinese mathematical teaching practice, Bianshi teaching, that has demonstrated its effectiveness over half a century; examining its systematic use in classroom instruction, textbooks, and teacher professional development in China; and showcasing of the adaptation of the variation pedagogy in selected education systems including Israel, Japan, Sweden and the US. This book has made significant contributions to not only developing the theories on teaching and learning mathematics through variation, but also providing pathways to putting the variation theory into action in an international context.“This book paints a richly detailed and elaborated picture of both teaching mathematics and learning to teach mathematics with variation. Teaching with variation and variation as a theory of learning are brought together to be theorized and exemplified through analysis of teaching in a wide variety of classrooms and targeting both the content and processes of mathematical thinking. Highly recommended.” – Kaye Stacey, Emeritus Professor of Mathematics Education, University of Melbourne, Australia “Many teachers in England are excited by the concept of teaching with variation and devising variation exercises to support their pupils’ mastery of mathematics. However, fully understanding and becoming proficient in its use takes time. This book provides a valuable resource to deepen understanding through the experiences of other teachers shared within the book and the insightful reflections of those who have researched this important area. – Debbie Morgan, Director for Primary Mathematics, National Centre for Excellence in the Teaching of Mathematics, United Kingdom"

How Chinese Learn Mathematics

Lianghuo Fan
How Chinese Learn Mathematics Book PDF

Author : Lianghuo Fan
Publisher : World Scientific
Page : 594 pages
File Size : 55,9 Mb
Release : 2004
Category : Mathematics
ISBN : 9812562249

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How Chinese Learn Mathematics by Lianghuo Fan Pdf

The book has been written by an international group of very activeresearchers and scholars who have a passion for the study of Chinesemathematics education. It aims to provide readers with a comprehensiveand updated picture of the teaching and learning of mathematicsinvolving Chinese students from various perspectives, including theways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and socialenvironment on Chinese students'' mathematics learning, and thestrengths and weaknesses of the ways in which Chinese learnmathematics

Latinos/as and Mathematics Education

Kip Téllez,Judit N. Moschkovich,Marta Civil
Latinos as and Mathematics Education Book PDF

Author : Kip Téllez,Judit N. Moschkovich,Marta Civil
Publisher : IAP
Page : 363 pages
File Size : 47,7 Mb
Release : 2011-05-01
Category : Education
ISBN : 9781617354229

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Latinos/as and Mathematics Education by Kip Téllez,Judit N. Moschkovich,Marta Civil Pdf

This book that explores the mathematics education of Latinos/as in 13 original research studies. Each chapter represents research that grounds mathematics instruction for Latinos/as in the resources to be found in culture and language. By inverting the deficit perspective, this volume redresses the shortcomings found in the previous literature on Latino/a learners. Each study frames language (e.g. bilingualism) not as an obstacle to learning, but as a resource for mathematical reasoning. Other chapters explore the notion of cultural variation not as a liability but as a tool for educators to build upon in the teaching of mathematics. Specifically, the book reframes culture as a focus on the practices, objects, inscriptions, or people that connect mathematical concepts to student thinking and experiences, both in and out of school. The book's four sections divide the research: The first section of the book focuses on mathematic learning in classrooms, specifically exploring bilingual, Latino/a students; the second section explores Latino/a learners in communities, including the role parents can play in advancing learning; the third section includes chapters focused on teacher professional growth; the final section concerns the assessment (and mis-assessment) of Latino/a learners. The research shared in this volume provides ample evidence that mathematics educators who choose to ignore language or culture in their pedagogy risk shortchanging their Latino/a students.

Encyclopedia of the Sciences of Learning

Norbert M. Seel
Encyclopedia of the Sciences of Learning Book PDF

Author : Norbert M. Seel
Publisher : Springer Science & Business Media
Page : 3643 pages
File Size : 50,7 Mb
Release : 2011-10-05
Category : Education
ISBN : 9781441914279

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Encyclopedia of the Sciences of Learning by Norbert M. Seel Pdf

Over the past century, educational psychologists and researchers have posited many theories to explain how individuals learn, i.e. how they acquire, organize and deploy knowledge and skills. The 20th century can be considered the century of psychology on learning and related fields of interest (such as motivation, cognition, metacognition etc.) and it is fascinating to see the various mainstreams of learning, remembered and forgotten over the 20th century and note that basic assumptions of early theories survived several paradigm shifts of psychology and epistemology. Beyond folk psychology and its naïve theories of learning, psychological learning theories can be grouped into some basic categories, such as behaviorist learning theories, connectionist learning theories, cognitive learning theories, constructivist learning theories, and social learning theories. Learning theories are not limited to psychology and related fields of interest but rather we can find the topic of learning in various disciplines, such as philosophy and epistemology, education, information science, biology, and – as a result of the emergence of computer technologies – especially also in the field of computer sciences and artificial intelligence. As a consequence, machine learning struck a chord in the 1980s and became an important field of the learning sciences in general. As the learning sciences became more specialized and complex, the various fields of interest were widely spread and separated from each other; as a consequence, even presently, there is no comprehensive overview of the sciences of learning or the central theoretical concepts and vocabulary on which researchers rely. The Encyclopedia of the Sciences of Learning provides an up-to-date, broad and authoritative coverage of the specific terms mostly used in the sciences of learning and its related fields, including relevant areas of instruction, pedagogy, cognitive sciences, and especially machine learning and knowledge engineering. This modern compendium will be an indispensable source of information for scientists, educators, engineers, and technical staff active in all fields of learning. More specifically, the Encyclopedia provides fast access to the most relevant theoretical terms provides up-to-date, broad and authoritative coverage of the most important theories within the various fields of the learning sciences and adjacent sciences and communication technologies; supplies clear and precise explanations of the theoretical terms, cross-references to related entries and up-to-date references to important research and publications. The Encyclopedia also contains biographical entries of individuals who have substantially contributed to the sciences of learning; the entries are written by a distinguished panel of researchers in the various fields of the learning sciences.

Theory and Practice of Lesson Study in Mathematics

Rongjin Huang,Akihiko Takahashi,João Pedro da Ponte
Theory and Practice of Lesson Study in Mathematics Book PDF

Author : Rongjin Huang,Akihiko Takahashi,João Pedro da Ponte
Publisher : Springer
Page : 856 pages
File Size : 41,8 Mb
Release : 2019-05-28
Category : Education
ISBN : 9783030040314

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Theory and Practice of Lesson Study in Mathematics by Rongjin Huang,Akihiko Takahashi,João Pedro da Ponte Pdf

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.)

Lesson Study Research and Practice in Mathematics Education

Lynn C. Hart,Alice S. Alston,Aki Murata
Lesson Study Research and Practice in Mathematics Education Book PDF

Author : Lynn C. Hart,Alice S. Alston,Aki Murata
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 46,8 Mb
Release : 2011-01-11
Category : Education
ISBN : 9789048199419

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Lesson Study Research and Practice in Mathematics Education by Lynn C. Hart,Alice S. Alston,Aki Murata Pdf

Lesson study is a professional development process that teachers engage in to systematically examine their practice, with the goal of becoming more effective. Originating in Japan, lesson study has gained significant momentum in the mathematics education community in recent years. As a process for professional development, lesson study became highly visible when it was proposed as a means of supporting the common practice of promoting better teaching by disseminating documents like standards, benchmarks and nationally validated curricula. While the body of knowledge about lesson study is growing, it remains somewhat elusive and composed of discrete research endeavors. As a new research area there is no coherent knowledge base yet. This book will contribute to the field bringing the work of researchers and practitioners together to create a resource for extant work. This book describes several aspects of Lesson Study, amongst others: it gives an historical overview of the concept, it addresses issues related to learning and teaching mathematics, it looks at the role of the teacher in the process. The last two sections of the book look at how lesson Study can be used with preservice mathematics teachers and at university mathematics methods teaching.

How Chinese Teach Mathematics and Improve Teaching

Yeping Li,Rongjin Huang
How Chinese Teach Mathematics and Improve Teaching Book PDF

Author : Yeping Li,Rongjin Huang
Publisher : Routledge
Page : 254 pages
File Size : 54,7 Mb
Release : 2013
Category : Education
ISBN : 9780415896016

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How Chinese Teach Mathematics and Improve Teaching by Yeping Li,Rongjin Huang Pdf

How Chinese Teach Mathematics and Improve Teaching builds upon existing studies to examine mathematics classroom instruction in China. It combines contributions from Chinese scholars with commentary from key Western scholars to offer a truly systematic examination of some important and distinctive features of mathematics classroom instruction. Viewing classroom instruction as part of teachers' instructional practices, this book goes beyond teachers' in-classroom instructional practice by also examining Chinese teachers' approaches and practices in developing and improving teaching. Through this unique approach, How Chinese Teach Mathematics and Improve Teaching expands and unpacks the otherwise fragmented knowledge about Chinese practices in developing and carrying out mathematics classroom instruction.

Proficiency and Beliefs in Learning and Teaching Mathematics

Yeping Li,Judit N. Moschkovich
Proficiency and Beliefs in Learning and Teaching Mathematics Book PDF

Author : Yeping Li,Judit N. Moschkovich
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 48,6 Mb
Release : 2013-09-04
Category : Education
ISBN : 9789462092990

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Proficiency and Beliefs in Learning and Teaching Mathematics by Yeping Li,Judit N. Moschkovich Pdf

Efforts to improve mathematics education have led educators and researchers to not only study the nature of proficiency, beliefs, and practices in mathematics learn¬ing and teaching, but also identify and assess possible influences on students’ and teachers’ proficiencies, beliefs, and practices in learning and teaching mathematics. The complexity of these topics has fascinated researchers from various back¬grounds, including psychologists, cognitive or learning scientists, mathematicians, and mathematics educators. Among those researchers, two scholars with a similar background – Alan Schoenfeld in the United States and Günter Törner in Germany, are internationally recognized for their contributions to these topics. To celebrate their 65th birthdays in 2012, this book brought together many scholars to reflect on how their own work has built upon and continued Alan and Günter’s work in mathematics education. The book contains 17 chapters by 33 scholars from six different education systems. This collection describes recent research and provides new insights into these topics of interest to mathematics educators, researchers, and graduate students who wish to learn about the trajectory and direction of research on these issues.

Lesson Study

Maitree Inprasitha,Masami Isoda,Patsy Wang-Iverson,Ban-Har Yeap
Lesson Study Book PDF

Author : Maitree Inprasitha,Masami Isoda,Patsy Wang-Iverson,Ban-Har Yeap
Publisher : World Scientific
Page : 392 pages
File Size : 43,6 Mb
Release : 2015-03-25
Category : Mathematics
ISBN : 9789814641081

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Lesson Study by Maitree Inprasitha,Masami Isoda,Patsy Wang-Iverson,Ban-Har Yeap Pdf

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

Necessary Conditions of Learning

Ference Marton
Necessary Conditions of Learning Book PDF

Author : Ference Marton
Publisher : Routledge
Page : 324 pages
File Size : 46,5 Mb
Release : 2014-06-20
Category : Education
ISBN : 9781317811947

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Necessary Conditions of Learning by Ference Marton Pdf

Necessary Conditions of Learning presents a research approach (phenomenography) and a theory (the variation theory of learning) introduced and developed by Ference Marton and taken up by his wide and varied following around the world—together with their practical applications in educational contexts. Reflecting Marton’s whole lifetime's work, the unique and significant contribution of this book is to offer an evidence-based answer to the questions "How do we make novel meanings our own?" and "How do we learn to see things in more powerful ways?" The presentation makes use of hundreds of empirical studies carried out in Europe and Asia which build on the theory. The line of reasoning and the way in which the examples are put together is consistent with the theory—it is both presented and applied. The main argument is that in order to learn we have to discern, and to discern the intended ideas we must be presented with carefully structured variation, against a background of invariance. We then go through processes of contrast, generalization, and fusion in order to make sense. These insights form a practical framework for those who design teaching and teaching materials. Necessary Conditions of Learning is a major original work for which scholars of pedagogical theory have been waiting a long time.

International Handbook of Mathematics Teacher Education: Volume 1

Anonim
International Handbook of Mathematics Teacher Education Volume 1 Book PDF

Author : Anonim
Publisher : BRILL
Page : 419 pages
File Size : 45,8 Mb
Release : 2019-12-02
Category : Education
ISBN : 9789004418875

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International Handbook of Mathematics Teacher Education: Volume 1 by Anonim Pdf

Knowledge, Beliefs, and Identity in Mathematics Teaching and Teaching Development examines teacher knowledge, beliefs, identity, practice and relationships among them. These important aspects of mathematics teacher education continue to be the focus of extensive research and policy debate globally.

Transforming Primary Mathematics

Mike Askew
Transforming Primary Mathematics Book PDF

Author : Mike Askew
Publisher : Routledge
Page : 186 pages
File Size : 43,7 Mb
Release : 2015-11-19
Category : Education
ISBN : 9781317357568

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Transforming Primary Mathematics by Mike Askew Pdf

Fully updated to reflect the new curriculum, the revised edition of Transforming Primary Mathematics sets out key theories and cutting-edge research in the field to enable teachers to take a fresh look at how they teach mathematics. The book encourages teachers to reflect on their own beliefs and values about mathematics, and asks them to question whether their current methods meet the needs of all learners, and the challenge of having high expectations for all. It provides clear, practical approaches to help implement fundamental change in classroom environments, and offers motivational teaching styles to ensure meaningful mathematics learning. Chapters take an inspiring, sometimes controversial, and often unconventional look at the subject of mathematics, by: endorsing the use of a ‘new mathematics’ – one based on problem solving, modelling, inquiry and reasoning, not on abstract rules, memorising, and regurgitation arguing that there is more to maths teaching than ‘death by a thousand worksheets’ challenging norms, such as the practice of sorting children into sets based on their perceived mathematical ability asking whether mathematical ability is innate or a result of social practices examining what a ‘mastery’ approach might entail highlighting the role of variation in supporting learning advocating an environment where teachers are encouraged to take risks. Transforming Primary Mathematics is for all primary school teachers who want to make mathematics welcoming, engaging, inclusive and successful.

Mathematics Learning in Early Childhood

National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Committee on Early Childhood Mathematics
Mathematics Learning in Early Childhood Book PDF

Author : National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Committee on Early Childhood Mathematics
Publisher : National Academies Press
Page : 399 pages
File Size : 45,7 Mb
Release : 2009-11-13
Category : Education
ISBN : 9780309147439

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Mathematics Learning in Early Childhood by National Research Council,Division of Behavioral and Social Sciences and Education,Center for Education,Committee on Early Childhood Mathematics Pdf

Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.

Classroom Discourse and the Space of Learning

Ference Marton,Amy B.M. Tsui,Pakey P.M. Chik,Po Yuk Ko,Mun Ling Lo
Classroom Discourse and the Space of Learning Book PDF

Author : Ference Marton,Amy B.M. Tsui,Pakey P.M. Chik,Po Yuk Ko,Mun Ling Lo
Publisher : Routledge
Page : 255 pages
File Size : 51,5 Mb
Release : 2004-05-20
Category : Education
ISBN : 9781135642341

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Classroom Discourse and the Space of Learning by Ference Marton,Amy B.M. Tsui,Pakey P.M. Chik,Po Yuk Ko,Mun Ling Lo Pdf

Classroom Discourse and the Space of Learning is about learning in schools and the central role of language in learning. The investigations of learning it reports are based on two premises: First, whatever you are trying to learn, there are certain necessary conditions for succeeding--although you cannot be sure that learning will take place when those conditions are met, you can be sure that no learning will occur if they are not. The limits of what is possible to learn is what the authors call "the space of learning." Second, language plays a central role in learning--it does not merely convey meaning, it also creates meaning. The book explicates the necessary conditions for successful learning and employs investigations of classroom discourse data to demonstrate how the space of learning is linguistically constituted in the classroom. Classroom Discourse and the Space of Learning: *makes the case that an understanding of how the space of learning is linguistically constituted in the classroom is best achieved through investigating "classroom discourse" and that finding out what the conditions are for successful learning and bringing them about should be the teacher's primary professional task. Thus, it is fundamentally important for teachers and student teachers to be given opportunities to observe different teachers teaching the same thing, and to analyze and reflect on whether the classroom discourse in which they are engaged maximizes or minimizes the conditions for learning; *is both more culturally situated and more generalizable than many other studies of learning in schools. Each case of classroom teaching clearly demonstrates how the specific language, culture, and pedagogy molds what is happening in the classroom, yet at the same time it is possible to generalize from these culturally specific examples the necessary conditions that must be met for the development of any specific capability regardless of where the learning is taking place and what other conditions might be present; and *encompasses both theory and practice--providing a detailed explication of the theory of learning underlying the analyses of classroom teaching reported, along with close analyses of a number of authentic cases of classroom teaching driven by classroom discourse data which have practical relevance for teachers. Intended for researchers and graduate students in education, teacher educators, and student teachers, Classroom Discourse and the Space of Learning is practice- and content-oriented, theoretical, qualitative, empirical, and focused on language, and links teaching and learning in significant new ways.

Transforming Primary Mathematics

Mike Askew
Transforming Primary Mathematics Book PDF

Author : Mike Askew
Publisher : Routledge
Page : 177 pages
File Size : 47,8 Mb
Release : 2012-02-07
Category : Education
ISBN : 9781136657511

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Transforming Primary Mathematics by Mike Askew Pdf

"What is good mathematics teaching? What is mathematics teaching good for? Who is mathematics teaching for? These are just some of the questions addressed in Transforming Primary Mathematics, a highly timely new resource for teachers which accessibly sets out the key theories and latest research in primary maths today. Under-pinned by findings from the largest research programme into primary mathematics funded in recent years, it offers a clear, practical approach to implementing fundamental change in curriculum, classroom environment and teaching styles. Written by one of the top experts in mathematics education, it offers an inspiring, sometimes controversial, and often unconventional look at the subject of mathematics, by: - Endorsing the use of a 'new mathematics' - one based on problem solving, modelling and inquiry, not on abstract rules, memorising, and regurgitation - Arguing that there is more to maths teaching than 'death by a thousand worksheets' - Challenging norms, such as the practice of sorting children into sets based on their perceived mathematical ability - Asking whether this mathematical ability is innate or a result of social practices - Upholding the idea that mathematics teaching is an adaptive challenge, rather than a technical problem - Advocating an environment where teachers are encouraged to take risks - Looking at how best to prepare learners for an unknown future - Encouraging reflection on teachers' own beliefs and values about mathematics. Transforming Primary Mathematics is for all primary school teachers who want to make mathematics welcoming, engaging, inclusive and successful"--Résumé de l'éditeur.