Designing learning environments for developing understanding of geometry and space
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| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Mahwah, NJ u.a.
Erlbaum
1998
|
| Schriftenreihe: | Studies in mathematical thinking and learning
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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Datensatz im Suchindex
| _version_ | 1804127142771949568 |
|---|---|
| adam_text | Contents
PREFACE ix
I
WHY TEACH GEOMETRY? 1
1 A Role for Geometry in General Education
E. Paul Goldenberg, Albert A. Cuoco, and June Mark 3
2 From a Different Perspective:
Building on Students Informal Knowledge
Koeno P. Gravemeijer 45
3 Charting a Course for Secondary Geometry
Daniel Chazan and Michal Yerushalmy 67
4 Chaos in the Classroom
Robert L. Devaney 91
II
STUDIES OF CONCEPTUAL DEVELOPMENT 105
5 Interpreting Student Understanding in Geometry:
A Synthesis of Two Models
John Pegg and Geoff Davey 109
6 Longitudinal Study of Children s Reasoning
About Space and Geometry
Richard Lehrer, Michael Jenkins, and Helen Osana 137
7 Developing Understanding of Geometry and Space
in the Primary Grades
Richard Lehrer, Cathy Jacobson, Greg Thoyre, Vera Kemeny,
Dolores Strom, Jeffrey Horvath, Stephen Gance, and Matthew Koehler 169
8 Development of Geometric and Measurement Ideas
Douglas H. Clements, Michael T. Battista, and Julie Sarama 201
v
Vi CONTENTS
9 Students Understanding of Three-Dimensional Cube Arrays:
Findings From a Research and Curriculum Development Project
Michael T. Battista and Douglas H. Clements 227
10 Sixth-Grade Students Conceptions of Stabi I ity
in Engineering Contexts
James A. Middleton and Robert Corbett 249
11 Interconnecting Science and Mathematics Concepts
Kalyani Raghavan, Mary L. Sartoris, and Robert Glaser 267
12 Geometric Curve-Drawing Devices as an Alternative
Approach to Analytic Geometry: An Analysis of the
Methods, Voice, and Epistemology of a High-School Senior
David Dennis andjere Confrey 297
13 Conjecturing and Argumentation in High-School Geometry Students
Kenneth R. Koedinger 319
III
DEFINING A NEW SEMANTICS OF SPACE:
COMPUTERS, SOFTWARE, AND
THE ELECTRONIC WORLD 349
14 What Is Dynamic Geometry?
E. Paul Goldenberg and Albert A. Cuoco 351
15 An Alternative Approach to Proof in Dynamic Geometry
Michael de Villiers 369
16 Opportunities to Explore and Integrate Mathematics
with the Geometer s Sketchpad
John Olive 395
17 Mapping the Classroom Using a CAD Program:
Geometry as Applied Mathematics
Daniel Lynn Watt 419
118 An Introduction to Geometry Through Anchored Instruction
I Linda Zech, Nancy J. Vye, John D. Bransford, Susan R. Goldman,
I BrigidJ. Barron, Dan L. Schwartz, Rachelle Kisst-Hackett,
| Cynthia Mayfield-Stewart, and the Cognition and Technology Group 439
CONTENTS VM
19 Teachers and Students Investigating and
Communicating About Geometry: The Math Forum
K. Ann Renninger, Stephen A. Weimar, and Eugene A. Klotz 465
EPILOGUE
Organization and Freedom in Geometry Learning and Teaching
Rina Hershkowitz 489
AUTHOR INDEX 495
SUBJECT INDEX 501
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:28:39Z |
| institution | BVB |
| isbn | 0805819487 0805819495 |
| language | English |
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| physical | XIII, 504 S. Ill., graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
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| publisher | Erlbaum |
| record_format | marc |
| series2 | Studies in mathematical thinking and learning |
| spelling | Designing learning environments for developing understanding of geometry and space ed. by: Richard Lehrer ... Mahwah, NJ u.a. Erlbaum 1998 XIII, 504 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies in mathematical thinking and learning Geometrie (DE-588)4020236-7 gnd rswk-swf Mathematikunterricht (DE-588)4037949-8 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Geometrie (DE-588)4020236-7 s Mathematikunterricht (DE-588)4037949-8 s DE-604 Lehrer, Richard Sonstige oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008484333&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Designing learning environments for developing understanding of geometry and space Geometrie (DE-588)4020236-7 gnd Mathematikunterricht (DE-588)4037949-8 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4037949-8 (DE-588)4143413-4 |
| title | Designing learning environments for developing understanding of geometry and space |
| title_auth | Designing learning environments for developing understanding of geometry and space |
| title_exact_search | Designing learning environments for developing understanding of geometry and space |
| title_full | Designing learning environments for developing understanding of geometry and space ed. by: Richard Lehrer ... |
| title_fullStr | Designing learning environments for developing understanding of geometry and space ed. by: Richard Lehrer ... |
| title_full_unstemmed | Designing learning environments for developing understanding of geometry and space ed. by: Richard Lehrer ... |
| title_short | Designing learning environments for developing understanding of geometry and space |
| title_sort | designing learning environments for developing understanding of geometry and space |
| topic | Geometrie (DE-588)4020236-7 gnd Mathematikunterricht (DE-588)4037949-8 gnd |
| topic_facet | Geometrie Mathematikunterricht Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008484333&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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