Symbolizing and Communicating in Mathematics Classrooms : Perspectives on Discourse, Tools, and Instructional Design

ISBN-13: 9780805829754 / Angielski / Twarda / 2000 / 412 str.

Nancy Cobb; Paul Cobb; Kay McClain

Opis

This volume grew out of a symposium on discourse, tools and instructional design at Vanderbilt University in 1995 that has brought together a small international group to grapple with issues of communicating, symbolizing, modelling 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 calibre 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.

Recenzje

"All the articles taken together add up to a strong argument in favor of making symbolizing and communicating prominent features in mathematics classrooms. Arguments are well illustrated....A good resource for teacher educators and graduate students who are interested in the interrelationship between semiotic theories and mathematical understanding."
—CHOICE

"...offers literacy educators another way to view mathematics....ways to think about literacy in mathematics classrooms....[and] provides literacy researchers insights into the kind of questions that are important to mathematics education researchers, which can be helpful as literacy educators work to consider problems and questions that cross educational domains....This book ultimately offers to literacy educators an insight into terms like symbolizing, modeling, mathematizing, and representation as used by mathematics educators. By understanding these terms and considering the implications for instructional design, literacy educators can begin building bridges between themselves and mathematics educators."
—Journal of Literacy Research

Spis treści

Contents: E. Yackel, P. Cobb, K. McClain, Preface. E. Yackel, Introduction: Perspectives on Semiotics and Instructional Design. Part I:Theoretical Considerations. P. Cobb, From Representations to Symoblizing: Introductory Comments on Semiotics and Mathematical Learning. A. Sfard, Symbolizing Mathematical Reality Into Being--Or How Mathematical Discourse and Mathematical Objects Create Each Other. W. Dörfler, Means for Meaning. B. van Oers, The Appropriation of Mathematical Symbols: A Psychosemiotic Approach to Mathematics Learning. R. Nemirovsky, S. Monk, "If You Look at It the Other Way...": An Exploration Into the Nature of Symbolizing. Part II:Instructional Design Issues Related to Symbolizing, Communicating, and Mathematizing. K. Gravemeijer, P. Cobb, J. Bowers, J. Whitenack, Symbolizing, Modeling, and Instructional Design. J. Bransford, L. Zech, D. Schwarts, B. Barron, N. Vye, The Cognition and Technology Group at Vanderbilt, Designs for Environments That Invite and Sustain Mathematical Thinking. R. Lehrer, L. Schauble, S. Carpenter, D. Penner, The Innerrelated Development of Inscriptions and Conceptual Understanding. R. Lesh, H.M. Doerr, Symbolizing, Communicating, and Mathematizing: Key Components of Models and Modeling. J. Bowers, Postscript: Integrating Themes on Discourse and Design.

O autorze

Paul Cobb, Erna Yackel, Kay McClain