Symbolizing and Communicating in Mathematics Classrooms

Symbolizing and Communicating in Mathematics Classrooms PDF Author: Paul Cobb
Publisher: Routledge
ISBN: 1135677824
Category : Education
Languages : en
Pages : 439

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Book Description
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.

Symbolizing and Communicating in Mathematics Classrooms

Symbolizing and Communicating in Mathematics Classrooms PDF Author: Paul Cobb
Publisher: Routledge
ISBN: 1135677824
Category : Education
Languages : en
Pages : 439

Get Book Here

Book Description
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.

Symbolizing and Communicating in Mathematics Classrooms

Symbolizing and Communicating in Mathematics Classrooms PDF Author: Paul Cobb
Publisher: Taylor & Francis
ISBN: 1135677832
Category : Education
Languages : en
Pages : 422

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Book Description
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.

Speaking Mathematically

Speaking Mathematically PDF Author: David Pimm
Publisher: Taylor & Francis
ISBN: 9780415037082
Category : Communication in education
Languages : en
Pages : 217

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

Reasoning, Communication and Connections in Mathematics

Reasoning, Communication and Connections in Mathematics PDF Author: Berinderjeet Kaur
Publisher: World Scientific
ISBN: 9814405434
Category : Business & Economics
Languages : en
Pages : 335

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Book Description
This fourth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Reasoning, Communication and Connections in Mathematics is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reasoning, communication and connections in mathematics classrooms. Several renowned international researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three major themes: mathematical tasks, classroom discourse, and connectivity within and beyond mathematics, shape the ideas underpinning reasoning, communication and connections in these chapters. The book makes a significant contribution towards mathematical processes essential for learners of mathematics. It is a good resource for mathematics educators and research students.

Challenging Perspectives on Mathematics Classroom Communication

Challenging Perspectives on Mathematics Classroom Communication PDF Author: Anna Chronaki
Publisher: IAP
ISBN: 1607528320
Category : Mathematics
Languages : en
Pages : 384

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Book Description
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.

Communication in Mathematics, K-12 and Beyond

Communication in Mathematics, K-12 and Beyond PDF Author: Portia C. Elliott
Publisher: National Council of Teachers of English
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 264

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Book Description
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)

Semiotics in Mathematics Education

Semiotics in Mathematics Education PDF Author:
Publisher: BRILL
ISBN: 9087905971
Category : Education
Languages : en
Pages : 283

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Book Description
Current interest in semiotics is undoubtedly related to our increasing awareness that our manners of thinking and acting in our world are deeply indebted to a variety of signs and sign systems (language included) that surround us.

Powerful Environments for Promoting Deep Conceptual and Strategic Learning

Powerful Environments for Promoting Deep Conceptual and Strategic Learning PDF Author: Lieven Verschaffel
Publisher: Leuven University Press
ISBN: 9789058674692
Category : Education
Languages : en
Pages : 264

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Book Description
Over the past years a substantial amount of research has been undertaken relating to the development of powerful learning environments for the acquisition in students of worthwhile educational objectives focussing on conceptual understanding, higher-order cognitive and metacognitive skills, and self-regulated learning. This research has been mainly undertaken from three distinct, but related perspectives in the study of learning and instruction, namely instructional psychology, instructional technology, and instructional design. Against this background a "research community" involving 14 European research teams has recently been initiated with the aim of interactively contributing to the advancement of theory and methodology relating to the design, implementation, and evaluation of powerful learning environments.This volume, based on the plenary lectures and working sessions during the community's third workshop, constitutes a collective output of this research community, focussing on the identification and analysis of major components and dimensions of powerful learning environments aimed at the promotion of deep conceptual and strategic learning in major domains of school curricula, like mathematics, physics, history, and social sciences.In Part I of the volume three chapters present general perspectives on the central theme of the third workshop. In Part II six studies are reported wherein novel learning environments for elementary and secondary mathematics education have been designed, implemented and evaluated. In Part III of the volume another set of five investigations is presented relating to the design, implementation and evaluation of powerful learning environments in other subject-matter domains (physics, history, social sciences) and in teacher training.

Multilingualism in Mathematics Classrooms

Multilingualism in Mathematics Classrooms PDF Author: Richard Barwell
Publisher: Multilingual Matters
ISBN: 1847693776
Category : Education
Languages : en
Pages : 199

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Book Description
Mathematics classrooms are increasingly multilingual, whether they are found in linguistically diverse societies, urban melting pots or planned bilingual programs. The chapters in this book present and discuss examples of mathematics classroom life from a range of multilingual classroom settings, and use these examples to draw out and discuss key issues for the teaching and learning of mathematics and language. These issues relate to pedagogy, students’ learning, curriculum, assessment, policy and aspects of educational theory. The contributions are based on research conducted in mathematics classrooms in Europe, South Asia, North America and Australia. Recurring issues for the learning of mathematics include the relationship between language and mathematics, the relationship between formal and informal mathematical language, and the relationship between students’ home languages and the official language of schooling.

Teaching Students to Communicate Mathematically

Teaching Students to Communicate Mathematically PDF Author: Laney Sammons
Publisher: ASCD
ISBN: 1416625593
Category : Education
Languages : en
Pages : 222

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Book Description
This book covers the basics of effective mathematical communication and offers specific strategies for teaching students how to speak and write about math.