Synopses & Reviews
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.
Synopsis
Internationally recognized scholars in the fields of mathematics eduction, cog. science, sociocultural theory, and discourse theory, bring a diversity of perspectives to a common set of themes and concerns: instructional design in mathematics education.
Table of Contents
Introduction : perspectives on semiotics and instructional design / Erna Yackel -- From representations to symbolizing : introductory comments on semiotics and mathematical learning / Paul Cobb -- Symbolizing mathematical reality into being, or, How mathematical discourse and mathematical objects create each other / Anna Sfard -- Means for meaning / Willi Dèorfler -- The appropriation of mathematical symbols : a psychosemiotic approach to mathematics learning / Bert van Oers -- "If you look at it the other way-- " : an exploration into the nature of symbolizing / Ricardo Nemirovsky, Stephen Monk -- Symbolizing, modeling, and instructional design / Koeno Gravemeijer ... et al. -- Designs for environments that invite and sustain mathematical thinking / John Bransford ... et al. -- The interrelated development of inscriptions and conceptual understanding / Richard Lehrer ... et al. -- Symbolizing, communicating, and mathematizing : key components of models and modeling / Richard Lesh, Helen M. Doerr -- Postscript : integrating themes on discourse and design / Janet Bowers.