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.
Doerfler, 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.
"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
-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