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Symbolizing And Communicating In Mathematics Classrooms


Symbolizing And Communicating In Mathematics Classrooms
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Symbolizing And Communicating In Mathematics Classrooms


Symbolizing And Communicating In Mathematics Classrooms
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Author : Paul Cobb
language : en
Publisher: Routledge
Release Date : 2012-11-12

Symbolizing And Communicating In Mathematics Classrooms written by Paul Cobb and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Education categories.


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.



Reasoning Communication And Connections In Mathematics


Reasoning Communication And Connections In Mathematics
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Author : Berinderjeet Kaur
language : en
Publisher:
Release Date : 2012

Reasoning Communication And Connections In Mathematics written by Berinderjeet Kaur and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.




Symbolizing Modeling And Tool Use In Mathematics Education


Symbolizing Modeling And Tool Use In Mathematics Education
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Author : K.P Gravemeijer
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-12-31

Symbolizing Modeling And Tool Use In Mathematics Education written by K.P Gravemeijer 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 2002-12-31 with Education categories.


This book explores the option of building on symbolizing, modeling and tool use as personally meaningful activities of students. It discusses the dimension of setting: varying from the study of informal, spontaneous activity of students, to an explicit focus on instructional design, and goals and effects of instruction; and the dimension of the theoretical framework of the researcher: varying from constructivism, to activity theory, cognitive psychology and instructional-design theory.



Semiotics In Mathematics Education


Semiotics In Mathematics Education
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Author :
language : en
Publisher: BRILL
Release Date : 2008-01-01

Semiotics In Mathematics Education written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Education categories.


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.



Communication In Mathematics K 12 And Beyond


Communication In Mathematics K 12 And Beyond
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Author : Portia C. Elliott
language : en
Publisher: National Council of Teachers of English
Release Date : 1996

Communication In Mathematics K 12 And Beyond written by Portia C. Elliott and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Language Arts & Disciplines categories.


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)



Symbols And Meanings In School Mathematics


Symbols And Meanings In School Mathematics
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Author : David Pimm
language : en
Publisher: Routledge
Release Date : 2002-11-01

Symbols And Meanings In School Mathematics written by David Pimm and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-01 with Education categories.


Symbols and Meanings in School Mathematics explores the various uses and aspects of symbols in school mathematics and also examines the notion of mathematical meaning. It is concerned with the power of language which enables us to do mathematics, giving us the ability to name and rename, to transform names and to use names and descriptions to conjure, communicate and control our images. It is in the interplay between language, image and object that mathematics is created and can be communicated to others. The book also addresses a set of questions of particular relevance to the last decade of the twentieth century, which arise due to the proliferation of machines offering mathematical functioning.



The Emergence Of Mathematical Meaning


The Emergence Of Mathematical Meaning
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Author : Paul Cobb
language : en
Publisher: Routledge
Release Date : 2012-12-06

The Emergence Of Mathematical Meaning written by Paul Cobb and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.


This book grew out of a five-year collaboration between groups of American and German mathematics educators. The central issue addressed accounting for the messiness and complexity of mathematics learning and teaching as it occurs in classroom situations. The individual chapters are based on the view that psychological and sociological perspectives each tell half of a good story. To unify these concepts requires a combined approach that takes individual students' mathematical activity seriously while simultaneously seeing their activity as necessarily socially situated. Throughout their collaboration, the chapter authors shared a single set of video recordings and transcripts made in an American elementary classroom where instruction was generally compatible with recent reform recommendations. As a consequence, the book is much more than a compendium of loosely related papers. The combined approach taken by the authors draws on interactionism and ethnomethodology. Thus, it constitutes an alternative to Vygotskian and Soviet activity theory approaches. The specific topics discussed in individual chapters include small group collaboration and learning, the teacher's practice and growth, and language, discourse, and argumentation in the mathematics classroom. This collaborative effort is valuable to educators and psychologists interested in situated cognition and the relation between sociocultural processes and individual psychological processes.



Symbolizing And Communicating In Mathematics Classrooms


Symbolizing And Communicating In Mathematics Classrooms
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Author : Paul Cobb
language : en
Publisher: Taylor & Francis
Release Date : 2012-11-12

Symbolizing And Communicating In Mathematics Classrooms written by Paul Cobb and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Education categories.


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.



Meaning In Mathematics Education


Meaning In Mathematics Education
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Author : Jeremy Kilpatrick
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30

Meaning In Mathematics Education written by Jeremy Kilpatrick 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 2006-03-30 with Education categories.


What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.



Communicating Mathematics


Communicating Mathematics
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Author : Max Stephens
language : en
Publisher:
Release Date : 1993-01-01

Communicating Mathematics written by Max Stephens and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Communication in education categories.


Reference book for mathematics educators and researchers, covering such topics as the communication of mathematical meaning, assessment of mathematical communication, fostering good classroom practices and the influence of cultural and linguistic backgrounds. Includes references and notes on contributors.