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Index
Front Cover Half Title Title Page Copyright Dedication Contents Preface 1 Introduction: Perspectives on Semiotics and Instructional Design PART I THEORETICAL CONSIDERATIONS
2 From Representations to Symbolizing: Introductory Comments on Semiotics and Mathematical Learning 3 Symbolizing Mathematical Reality Into Being—Or How Mathematical Discourse and Mathematical Objects Create Each Other 4 Means for Meaning 5 The Appropriation of Mathematical Symbols: A Psychosemiotic Approach to Mathematics Learning 6 “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
7 Symbolizing, Modeling, and Instructional Design 8 Designs for Environments That Invite and Sustain Mathematical Thinking 9 The Innerrelated Development of Inscriptions and Conceptual Understanding 10 Symbolizing, Communicating, and Mathematizing: Key Components of Models and Modeling 11 Postscript: Integrating Themes on Discourse and Design
Author Index Subject Index
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