Symbolizing and communicating in mathematics classrooms: perspectives on discours, tools, and instructional design
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Mahwah, NJ [u.a.]
Erlbaum
2000
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 411 S. Ill., graph. Darst. |
| ISBN: | 0805829768 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Preface ix
Erna Yackel, Paul Cobb, Kay McClain
1 Introduction: Perspectives on Semiotics and Instructional 1
Design
Erna Yackel
PART I THEORETICAL CONSIDERATIONS
2 From Representations to Symbolizing: Introductory 17
Comments on Semiotics and Mathematical Learning
Paul Cobb
3 Symbolizing Mathematical Reality Into Being—Or How 37
Mathematical Discourse and Mathematical Objects Create
Each Other
Anna Sfard
4 Means for Meaning 99
Willi Dorfler
5 The Appropriation of Mathematical Symbols: 133
A Psychosemiotic Approach to Mathematics Learning
Bert van Oers
viii CONTENTS
6 If You Look at it the Other Way ... : An Exploration Into 177
the Nature of Symbolizing
Ricardo Nemirovsky, Stephen Monk
PART H INSTRUCTIONAL DESIGN ISSUES RELATED
TO SYMBOLIZING, COMMUNICATING,
AND MATHEMATIZING
7 Symbolizing, Modeling, and Instructional Design 225
Koeno Gravemeijer, Paul Cobb, Janet Bowers, Joy Whitenack
8 Designs for Environments That Invite and Sustain 275
Mathematical Thinking
John Bransford, Linda Zech, Dan Schwarts, Brigid Barron,
Nancy Vye, and The Cognition and Technology Group at Vanderbilt
9 The Innerrelated Development of Inscriptions and Conceptual 325
Understanding
Richard Lehrer, Leona Schauble, Susan Carpenter, David Penner
10 Symbolizing, Communicating, and Mathematizing: 361
Key Components of Models and Modeling
Richard Lesh, Helen M. Doerr
11 Postscript: Integrating Themes on Discourse and Design 385
Janet Bowers
Author Index 399
Subject Index 405
|
| adam_txt |
Contents
Preface ix
Erna Yackel, Paul Cobb, Kay McClain
1 Introduction: Perspectives on Semiotics and Instructional 1
Design
Erna Yackel
PART I THEORETICAL CONSIDERATIONS
2 From Representations to Symbolizing: Introductory 17
Comments on Semiotics and Mathematical Learning
Paul Cobb
3 Symbolizing Mathematical Reality Into Being—Or How 37
Mathematical Discourse and Mathematical Objects Create
Each Other
Anna Sfard
4 Means for Meaning 99
Willi Dorfler
5 The Appropriation of Mathematical Symbols: 133
A Psychosemiotic Approach to Mathematics Learning
Bert van Oers
viii CONTENTS
6 "If You Look at it the Other Way . ": An Exploration Into 177
the Nature of Symbolizing
Ricardo Nemirovsky, Stephen Monk
PART H INSTRUCTIONAL DESIGN ISSUES RELATED
TO SYMBOLIZING, COMMUNICATING,
AND MATHEMATIZING
7 Symbolizing, Modeling, and Instructional Design 225
Koeno Gravemeijer, Paul Cobb, Janet Bowers, Joy Whitenack
8 Designs for Environments That Invite and Sustain 275
Mathematical Thinking
John Bransford, Linda Zech, Dan Schwarts, Brigid Barron,
Nancy Vye, and The Cognition and Technology Group at Vanderbilt
9 The Innerrelated Development of Inscriptions and Conceptual 325
Understanding
Richard Lehrer, Leona Schauble, Susan Carpenter, David Penner
10 Symbolizing, Communicating, and Mathematizing: 361
Key Components of Models and Modeling
Richard Lesh, Helen M. Doerr
11 Postscript: Integrating Themes on Discourse and Design 385
Janet Bowers
Author Index 399
Subject Index 405 |
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| spelling | Symbolizing and communicating in mathematics classrooms perspectives on discours, tools, and instructional design Ed. by Paul Cobb, ... Mahwah, NJ [u.a.] Erlbaum 2000 X, 411 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aufsatzsammlung Mathematical notation Mathematics - Study and teaching Mathematikunterricht Mathematisches Modell Symbol Mathematikunterricht swd Mathematische Lerntheorie swd Mathematisches Modell swd Symbol swd Mathematik Mathematics Study and teaching Cobb, Paul Sonstige oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014614000&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Symbolizing and communicating in mathematics classrooms perspectives on discours, tools, and instructional design Aufsatzsammlung Mathematical notation Mathematics - Study and teaching Mathematikunterricht Mathematisches Modell Symbol Mathematikunterricht swd Mathematische Lerntheorie swd Mathematisches Modell swd Symbol swd Mathematik Mathematics Study and teaching |
| title | Symbolizing and communicating in mathematics classrooms perspectives on discours, tools, and instructional design |
| title_auth | Symbolizing and communicating in mathematics classrooms perspectives on discours, tools, and instructional design |
| title_exact_search | Symbolizing and communicating in mathematics classrooms perspectives on discours, tools, and instructional design |
| title_exact_search_txtP | Symbolizing and communicating in mathematics classrooms perspectives on discours, tools, and instructional design |
| title_full | Symbolizing and communicating in mathematics classrooms perspectives on discours, tools, and instructional design Ed. by Paul Cobb, ... |
| title_fullStr | Symbolizing and communicating in mathematics classrooms perspectives on discours, tools, and instructional design Ed. by Paul Cobb, ... |
| title_full_unstemmed | Symbolizing and communicating in mathematics classrooms perspectives on discours, tools, and instructional design Ed. by Paul Cobb, ... |
| title_short | Symbolizing and communicating in mathematics classrooms |
| title_sort | symbolizing and communicating in mathematics classrooms perspectives on discours tools and instructional design |
| title_sub | perspectives on discours, tools, and instructional design |
| topic | Aufsatzsammlung Mathematical notation Mathematics - Study and teaching Mathematikunterricht Mathematisches Modell Symbol Mathematikunterricht swd Mathematische Lerntheorie swd Mathematisches Modell swd Symbol swd Mathematik Mathematics Study and teaching |
| topic_facet | Aufsatzsammlung Mathematical notation Mathematics - Study and teaching Mathematikunterricht Mathematisches Modell Symbol Mathematische Lerntheorie Mathematik Mathematics Study and teaching |
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