Language And Communication In The Mathematics Classroom

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Language and Communication in the Mathematics Classroom

Heinz Steinbring,Maria Giuseppina Bartolini Bussi,Anna Sierpinska
Language and Communication in the Mathematics Classroom Book PDF

Author : Heinz Steinbring,Maria Giuseppina Bartolini Bussi,Anna Sierpinska
Publisher : Unknown
Page : 364 pages
File Size : 42,7 Mb
Release : 1998
Category : Education
ISBN : STANFORD:36105028620982

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Language and Communication in the Mathematics Classroom by Heinz Steinbring,Maria Giuseppina Bartolini Bussi,Anna Sierpinska Pdf

The way in which teachers communicate with their students partly determines what they communicate. This book addresses the communication issue by building on a series of papers whose first versions were presented in 1992 at the Sixth International Congress of Mathematics Education in Quebec. Papers include: (1) "Crossing the Gulf between Thought and Symbol: Language as (Slippery) Stepping-Stones" (Susan E.B. Pirie); (2) "Three Epistemologies, Three Views of Classroom Communication: Constructivism, Sociocultural Approaches, Interactionism" (Anna Sierpinska); (3) "Verbal Interaction in the Mathematics Classroom: A Vygotskian Analysis" (Maria G. Bartolini Bussi); (4) "Discourse and Beyond: On the Ethnography of Classroom Discourse" (Falk Seeger); (5) "From 'Stoffdidaktik' to Social Interactionism: An Evolution of Approaches to the Study of Language and Communication in German Mathematics Education Research" (Heinz Steinbring); (6) "Examining the Linguistic Mediation of Pedagogic Interactions in Mathematics" (Clive Kanes); (7) "Pupil Language-Teacher Language: Two Case Studies and the Consequences for Teacher Training" (Albrecht Abele); (8) "Teacher-Student Communication in Traditional and Constructivist Approaches to Teaching" (Maria Luiza Cestari); (9) "Alternative Patterns of Communication in Mathematics Classes: Funneling or Focusing?" (Terry Wood); (10) "Students Communicating in Small Groups: Making Sense of Data in Graphical Form" (Frances R. Curcio and Alice F. Artzt); (11) "Communication and Learning in Small-Group Discussions" (Kaye Stacey and Anne Gooding); (12) "Mathematical Communication through Small-Group Discussions" (Marta Civil); (13) "Formats of Argumentation in the Mathematics Classroom" (Gotz Krummheuer); (14) "Teaching without Instruction: The Neo-Socratic Method" (Rainer Loska); (15) "The Role of Natural Language in Prealgebraic and Algebraic Thinking" (Ferdinando Arzarello); (16) "How Students Interpret Equations: Intuition versus Taught Procedures" (Mollie MacGregor); (17) "Epistemological and Metacognitive Factors Involved in the Learning of Mathematics: The Case of Graphic Representations of Functions" (Maria Kaldrimidou and Andreas Ikonomou); (18) "Making Mathematics Accessible" (Megan Clark); (19) "Itineraries through Logic To Enhance Linguistic and Argumentative Skills" (Giancarlo Navarra); and (20)"Communication in a Secondary Mathematics Classroom: Some Images" (Judith Fonzi and Constance Smith). (ASK)

Language and Communication in Mathematics Education

Judit N. Moschkovich,David Wagner,Arindam Bose,Jackeline Rodrigues Mendes,Marcus Schütte
Language and Communication in Mathematics Education Book PDF

Author : Judit N. Moschkovich,David Wagner,Arindam Bose,Jackeline Rodrigues Mendes,Marcus Schütte
Publisher : Springer
Page : 279 pages
File Size : 48,9 Mb
Release : 2018-03-27
Category : Education
ISBN : 9783319750552

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Language and Communication in Mathematics Education by Judit N. Moschkovich,David Wagner,Arindam Bose,Jackeline Rodrigues Mendes,Marcus Schütte Pdf

This book considers some of the outstanding questions regarding language and communication in the teaching and learning of mathematics – an established theme in mathematics education research, which is growing in prominence. Recent research has demonstrated the wide range of theoretical and methodological resources that can contribute to this area of study, including those drawing on cross-disciplinary perspectives influenced by, among others, sociology, psychology, linguistics, and semiotics. Examining language in its broadest sense to include all modes of communication, including visual and gestural as well as spoken and written modes, it features work presented and discussed in the Language and Communication topic study group (TSG 31) at the 13th International Congress on Mathematical Education (ICME-13). A joint session with participants of the Mathematics Education in a Multilingual and Multicultural Environment topic study group (TSG 32) enhanced discussions, which are incorporated in elaborations included in this book. Discussing cross-cutting topics it appeals to readers from a wide range of disciplines, such as mathematics education and research methods in education, multilingualism, applied linguistics and beyond.

Routledge Revivals: Speaking Mathematically (1987)

David Pimm
Routledge Revivals Speaking Mathematically 1987 Book PDF

Author : David Pimm
Publisher : Routledge
Page : 238 pages
File Size : 51,6 Mb
Release : 2019-01-15
Category : Education
ISBN : 9781315278841

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Routledge Revivals: Speaking Mathematically (1987) by David Pimm Pdf

First published in 1987, this book examines mathematics school teaching from the perspective that it is a language — arguing that this can illuminate many events that occur in classes and highlight issues that may not have previously seemed important. The central concern is with the processes of communication as they are shaped by school conventions and the fact that it is mathematics being discussed. Speaking, listening, writing and reading are examined and analysed with the first half focusing on verbal interactions and the second half examining aspects of pupil written mathematics. Also explored is the nature of the mathematical writing system itself and how pupils gain access to it.

Communication in Mathematics, K-12 and Beyond

Portia C. Elliott
Communication in Mathematics K 12 and Beyond Book PDF

Author : Portia C. Elliott
Publisher : National Council of Teachers of English
Page : 264 pages
File Size : 51,9 Mb
Release : 1996
Category : Language Arts & Disciplines
ISBN : UOM:39015025832406

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Communication in Mathematics, K-12 and Beyond by Portia C. Elliott Pdf

This book contains ideas for teachers facing the challenges of turning their classrooms and schools into "discourse communities." The yearbook is divided into four sections. Part 1 (chapters 1-3) sets the stage by considering the challenges inherent in shifting directions of discourse. Part 2 (chapters 4-21) focuses on establishing discourse communities within the classroom. Part 3 (chapters 22-25) moves the discourse discussion outside the K-12 arena. Finally, Part 4 (chapters 26-28) focuses on the role of language in mathematics discourse. Chapters include: (1) "Communication--An Imperative for Change: A Conversation with Mary Lindquist" (M. M. Lindquist & P. C. Elliott); (2) "Diverse Communications" (D. Pimm); (3) "Building Discourse Communities in Mathematics Classrooms: A Worthwhile but Challenging Journey" (E. A. Silver & M. S. Smith); (4) "Meaningful Communication among Children: Data Collection" (S. Folkson); (5) "The Link Sheet: A Communication Aid for Clarifying and Developing Mathematical Ideas and Processes" (M. Shield & K. Swinson); (6) "Using Multiple Representations to Communicate: An Algebra Challenge" (L. P. McCoy, T. H. Baker, & L. S. Little); (7) "Algebraic Thinking, Language, and Word Problems" (W. W. Esty & Anne R. Teppo); (8) "Communicating the Mathematics in Children's Trade Books Using Mathematical Annotations" (P. A. Halpern); (9) "Fostering Metaphorical Thinking through Children's Literature" (D. J. Whitin & P. E. Whitin); (10) "Using Reading to Construct Mathematical Meaning" (M. Siegel, R. Borasi, J. M. Fonzi, L. G. Sanridge, & C. Smith); (11) "Communicating Mathematics through Literature" (R. Narode); (12) "Talk Your Way into Writing" (D. Huinker & C. Laughlin); (13) "Try a Little of the Write Stuff" (P. A. House); (14) "Developing and Assessing Mathematical Understanding in Calculus through Writing" (J. O. Masingila & E. Prus-Wisniowska); (15) "Is Anybody Listening?" (S. E. B. Pirie); (16) "Developing Problem-Solving Behaviors by Assessing Communication in Cooperative Learning Groups" (A. F. Artzt); (17) "Using Technology to Enhance Communication in Mathematics" (A. E. Barron & M. C. Hynes); (18) "The Role of Open-Ended Tasks and Holistic Scoring Rubrics: Assessing Students' Mathematical Reasoning and Communication" (J. Cai, S. Lane, & M. S. Jakabcsin); (19) "Mathematical Communication in Students' Responses to a Performance-Assessment Task" (D. Peressini & J. Bassett); (20) "Communication Processes in Mathematical Explorations and Investigations" (C. Greenes & L. Schulman); (21) "Embedding Communication throughout the Curriculum" (H. L. Schoen, D. L. Bean, & S. W. Ziebarth); (22) "Children, Teach Your Parents Well: Communication in Mathematics between Home and School" (A. Hart, M. Smyth, K. Vetter, & E. Hart); (23) "Communicating about Alternative Assessment Beyond the Mathematics Classroom" (P. A. Kenney, C. G. Schloemer, & R. W. Cain); (24) "Mathematics Pen-Pal Letter Writing" (E. Phillips); (25) "Developing Preservice Teachers' Strategies for Communicating in and about Mathematics" (F. R. Curcio, S. L. Schwartz, & C. A. Brown); (26) "Strategies to Support the Learning of the Language of Mathematics" (R. N. Rubenstein); (27) "Communication in Mathematics for Students with Limited English Proficiency" (R. A. Olivares); and (28) "Mathematics as a Language" (Z. Usiskin). (MKR)

Language in the Mathematics Classroom

Rachel Griffiths,Margaret Clyne
Language in the Mathematics Classroom Book PDF

Author : Rachel Griffiths,Margaret Clyne
Publisher : Heinemann Educational Publishers
Page : 180 pages
File Size : 50,5 Mb
Release : 1994
Category : Education
ISBN : UVA:X002601673

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Language in the Mathematics Classroom by Rachel Griffiths,Margaret Clyne Pdf

What do children's responses tell us about their understanding of mathematics? How do children's interpretations of mathematical language affect their performance? What are the implications for teaching and learning? Language in the Mathematics Classroom provides imaginative and varied suggestions for extending children's responses in all modes of communication - spoken, written, graphic and activeallowing them to broaden and deepen their mathematical understanding. Language in the Mathematics Classroom explores the connections between mathematics and language, looking at the many ways that children talk about, represent and record mathematics.

The Proceedings of the 12th International Congress on Mathematical Education

Sung Je Cho
The Proceedings of the 12th International Congress on Mathematical Education Book PDF

Author : Sung Je Cho
Publisher : Springer
Page : 617 pages
File Size : 53,9 Mb
Release : 2015-02-10
Category : Education
ISBN : 9783319126883

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The Proceedings of the 12th International Congress on Mathematical Education by Sung Je Cho Pdf

This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.

Speaking Mathematically

David Pimm
Speaking Mathematically Book PDF

Author : David Pimm
Publisher : Taylor & Francis
Page : 217 pages
File Size : 41,5 Mb
Release : 1987
Category : Communication in education
ISBN : 0415037085

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Speaking Mathematically by David Pimm Pdf

This stimulating study focuses on mathematics as a language with its own rules and conventions and explores the implications of this for classroom practice.

Classroom Research on Mathematics and Language

Núria Planas,Candia Morgan,Marcus Schütte
Classroom Research on Mathematics and Language Book PDF

Author : Núria Planas,Candia Morgan,Marcus Schütte
Publisher : Taylor & Francis
Page : 243 pages
File Size : 46,5 Mb
Release : 2021-03-22
Category : Education
ISBN : 9780429523007

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Classroom Research on Mathematics and Language by Núria Planas,Candia Morgan,Marcus Schütte Pdf

This book offers an international perspective on the current and future state of the research, focusing, in particular, on the role and use of language in mathematics school teaching and learning. It focuses on the development of a unified view of the languages of the learners, of the teachers and of mathematics by considering the role of language in the learning, teaching and doing of mathematics in the classroom, and the current richness and plurality of language and culture. The contributions in this volume combine to show how views of language and of language research in mathematics education have changed significantly in recent decades, and how they will continue to change and become even more complex and challenging in the era of diversity. All of these contributions by leading scholars are grouped into two sections for emphasis on issues of: • Theorising the complexity of language in mathematics teaching and learning • Opening spaces of learning with mathematics classroom research on language This book will be of great interest to mathematics teachers, teacher educators, curriculum developers and mathematics education researchers who deal with the study and implementation of pedagogies of mathematics teaching and learning, specifically in regions of the world which are culturally and sociolinguistically diverse.

Symbolizing and Communicating in Mathematics Classrooms

Paul Cobb,Erna Yackel,Kay McClain
Symbolizing and Communicating in Mathematics Classrooms Book PDF

Author : Paul Cobb,Erna Yackel,Kay McClain
Publisher : Routledge
Page : 439 pages
File Size : 45,5 Mb
Release : 2012-11-12
Category : Education
ISBN : 9781135677824

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Symbolizing and Communicating in Mathematics Classrooms by Paul Cobb,Erna Yackel,Kay McClain Pdf

This volume grew out of a symposium on discourse, tools, and instructional design at Vanderbilt University in 1995 that brought together a small international group to grapple with issues of communicating, symbolizing, modeling, and mathematizing, particularly as these issues relate to learning in the classroom. The participants invited to develop chapters for this book--all internationally recognized scholars in their respective fields--were selected to represent a wide range of theoretical perspectives including mathematics education, cognitive science, sociocultural theory, and discourse theory. The work is distinguished by the caliber of the contributors, the significance of the topics addressed in the current era of reform in mathematics education, and the diversity of perspectives taken to a common set of themes and issues. The book is intended for those who are seeking to expand their understanding of the complexity of learning in order to enhance the learning experiences students have in schools, primarily researchers, instructional designers, and graduate students in mathematics education, as well as those in other fields including science education, instructional design in general, discourse theory, and semiotics.

Routledge Revivals: Speaking Mathematically (1987)

David Pimm
Routledge Revivals Speaking Mathematically 1987 Book PDF

Author : David Pimm
Publisher : Routledge
Page : 279 pages
File Size : 41,9 Mb
Release : 2019-01-15
Category : Education
ISBN : 9781315278834

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Routledge Revivals: Speaking Mathematically (1987) by David Pimm Pdf

First published in 1987, this book examines mathematics school teaching from the perspective that it is a language — arguing that this can illuminate many events that occur in classes and highlight issues that may not have previously seemed important. The central concern is with the processes of communication as they are shaped by school conventions and the fact that it is mathematics being discussed. Speaking, listening, writing and reading are examined and analysed with the first half focusing on verbal interactions and the second half examining aspects of pupil written mathematics. Also explored is the nature of the mathematical writing system itself and how pupils gain access to it.

Language Practices in School Mathematics

Anne P. Chapman
Language Practices in School Mathematics Book PDF

Author : Anne P. Chapman
Publisher : Unknown
Page : 236 pages
File Size : 42,9 Mb
Release : 2003
Category : Language and languages
ISBN : UOM:39015056220166

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Language Practices in School Mathematics by Anne P. Chapman Pdf

With a view to contributing to understanding the nature and role of language in mathematics education, this book examines spoken language practices. The book demonstrates that learning mathematics is very much a matter of learning to speak 'properly.' There is a pervasive and continual requirement, often hidden in everyday classroom practices, to shift towards increasingly mathematical language. The outcomes of the research reported here affirm the value of viewing language and mathematics learning from a social semiotic perspective and help further our understandings about the construction of a social semiotic theory of classroom education, both in school mathematics and across the curriculum.

Teaching Mathematics in Multilingual Classrooms

J.B. Adler
Teaching Mathematics in Multilingual Classrooms Book PDF

Author : J.B. Adler
Publisher : Springer Science & Business Media
Page : 172 pages
File Size : 55,5 Mb
Release : 2006-04-11
Category : Education
ISBN : 9780306472299

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Teaching Mathematics in Multilingual Classrooms by J.B. Adler Pdf

The author captures three inter-related dilemmas that lie at the heart of teaching mathematics in multilingual classrooms: code-switching, mediation, and transparency. She provides a sharp analysis and strong theoretical grounding, pulling together research related to the relationship between language and mathematics, communicating mathematics, and mathematics in bi-/multilingual settings and offers a direct challenge to dominant research on communication in mathematics classrooms.

Mathematical Thinking and Communication

Mark Driscoll,Johannah Nikula,Jill Neumayer DePiper
Mathematical Thinking and Communication Book PDF

Author : Mark Driscoll,Johannah Nikula,Jill Neumayer DePiper
Publisher : Heinemann Educational Books
Page : 0 pages
File Size : 42,6 Mb
Release : 2016
Category : Education
ISBN : 0325074771

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Mathematical Thinking and Communication by Mark Driscoll,Johannah Nikula,Jill Neumayer DePiper Pdf

Language is deeply involved in learning mathematics as students both communicate and think about mathematical ideas. Because of this, teachers of English learners have particular challenges to overcome. Mathematical Thinking and Communication addresses perhaps the most significant challenge: providing access to mathematics for these students. For all students-and English learners in particular-access means finding effective, authentic ways to make language clear and thinking visible so they can reason more, speak more, and write more in mathematics. Based on extensive research and collaboration with teachers, coaches, and schools, Mark Driscoll, Johannah Nikula, and Jill Neumayer DePiper outline four principles for designing instruction that creates this kind of access: challenging tasks, multimodal representations, development of mathematical communication, and repeated structured practice. Starting from the perspective that English learners are capable of mathematical thinking (even as they are learning to express their ideas verbally), the authors highlight techniques for using gestures, drawings, models, manipulatives, and technology as tools for reasoning and communication. By embedding these visual representations into instruction-and encouraging their regular use-teachers support engagement in problem solving, facilitate mathematical dialogue, and notice evidence of students' thinking that propels them to create more engaging and equitable instruction. Enhanced by an extensive online collection of companion professional development resources, this book highlights classroom-ready strategies and routines for fostering mathematics success in all students and helping them recognize their potential.

Teaching Math to Multilingual Students, Grades K-8

Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow
Teaching Math to Multilingual Students Grades K 8 Book PDF

Author : Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow
Publisher : Corwin
Page : 249 pages
File Size : 53,9 Mb
Release : 2020-12-21
Category : Education
ISBN : 9781071810811

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Teaching Math to Multilingual Students, Grades K-8 by Kathryn B. Chval,Erin Smith,Lina Trigos-Carrillo,Rachel J. Pinnow Pdf

Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.

Challenging Perspectives on Mathematics Classroom Communication

Anna Chronaki,Iben Maj Christiansen
Challenging Perspectives on Mathematics Classroom Communication Book PDF

Author : Anna Chronaki,Iben Maj Christiansen
Publisher : IAP
Page : 384 pages
File Size : 53,9 Mb
Release : 2006-05-01
Category : Mathematics
ISBN : 9781607528326

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Challenging Perspectives on Mathematics Classroom Communication by Anna Chronaki,Iben Maj Christiansen Pdf

The editors and contributors of these ten articles focus on the idea that communication includes both what is happening and being said among participants in a classroom and also the politics, values and ideologies that serve as the foundation of the practice. They describe how communication thereby involves register, representation and contexts through media-human interfaces in the classroom and in interpreting mathematics as a text, how communication in mathematics teaching becomes social interaction in cooperative settings and classroom activities, and how communication translates into practice, community, identity and policy.