The learning and teaching of Geometry in secondary schools: a modeling perspective
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| Main Authors: | , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London ; New York
Routledge, Taylor & Francis Group
2017
|
| Series: | IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching)
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 239 Seiten |
| ISBN: | 9780415856911 9780415856904 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
IMPACT—Series Foreword vii
Acknowledgments ix
Introduction 1
1 The Discourse of Teaching and Learning Secondary
Geometry through History 8
1.1. Introduction 8
1.2. Overview of This Chapter 9
1.3. The Development of Geometry up to the So-Called
Foundational Crisis 11
1.4. The Shaping of Geometry Curricula in the Nineteenth
and Twentieth Centuries 18
1.5. Recent Developments 33
1.6. Conclusion 46
2 Geometric Figures and Their Representations 48
2.1. Introduction 48
2.2. Conceptions of Figure: What We Mean by Conception 50
2.3. Initial Conceptions of Geometric Figures 52
2.4. The Geometric Diagram in the Literature 59
2.5. A Modeling Perspective in the Study of Figures 68
2.6. Conclusion 75
}
vi Contents
3 Students’ Thinking and Learning in Geometry 77
3.1. Introduction 77
3.2. Conceptions of Figure and Students Cognition 79
3.3. Geometric Figures and Students Learning as Progressive
Change in Cognition 91
3.4. Enriching Semiotic Registers, Operations, and Control
Structures with DGS 99
3.5. Theoretical Underpinnings for Learning Trajectories of
Geometric Figures 107
3.6. Conclusion 111
4 Teaching Practice and Teacher Knowledge in
Geometry Instruction 114
4.1. Introduction 114
4.2. Teaching Practice in Geometry 114
4.3. Teacher Knowledge of Geometry 128
4.4. Studies of Preservice Teachers Knowledge of Geometry 142
4.5. Another Look at Elementary and Middle Grades Teachers 144
4.6. Beliefs of Secondary Geometry Teachers 147
4.7. Conclusion 154
5 Improving the Teaching and Learning of Geometry in
Secondary School Classrooms 156
5.1. Introduction 156
5.2. Communication Tasks : A Contribution of the Theory
of Didactical Situations to the Design of Interventions 157
5.3. Secondary Geometry in the Service of Modeling the
Experience with Shape and Space 160
5.4. Communication Tasks in the Teaching and Learning
of Geometry 165
5.5. Conclusion 190
6 A Conclusion and a Beginning: Doing Research on
the Teaching and Learning of Secondary Geometry 192
6.1. Introduction 192
6.2. Research Questions 192
6.3. Conclusion 201
References
Index
203
229
|
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| isbn | 9780415856911 9780415856904 |
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| series2 | IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) |
| spelling | Herbst, Patricio Verfasser aut The learning and teaching of Geometry in secondary schools a modeling perspective Patricio Herbst, Taro Fujita, Stefan Halverscheid, Michael Weiss London ; New York Routledge, Taylor & Francis Group 2017 239 Seiten txt rdacontent n rdamedia nc rdacarrier IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) Mathematikunterricht (DE-588)4037949-8 gnd rswk-swf Didaktik (DE-588)4070463-4 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Geometrie (DE-588)4020236-7 s Didaktik (DE-588)4070463-4 s Mathematikunterricht (DE-588)4037949-8 s DE-604 Fujita, Taro Verfasser aut Halverscheid, Stefan Verfasser aut Weiss, Michael Verfasser aut Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029620731&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Herbst, Patricio Fujita, Taro Halverscheid, Stefan Weiss, Michael The learning and teaching of Geometry in secondary schools a modeling perspective Mathematikunterricht (DE-588)4037949-8 gnd Didaktik (DE-588)4070463-4 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4037949-8 (DE-588)4070463-4 (DE-588)4020236-7 |
| title | The learning and teaching of Geometry in secondary schools a modeling perspective |
| title_auth | The learning and teaching of Geometry in secondary schools a modeling perspective |
| title_exact_search | The learning and teaching of Geometry in secondary schools a modeling perspective |
| title_full | The learning and teaching of Geometry in secondary schools a modeling perspective Patricio Herbst, Taro Fujita, Stefan Halverscheid, Michael Weiss |
| title_fullStr | The learning and teaching of Geometry in secondary schools a modeling perspective Patricio Herbst, Taro Fujita, Stefan Halverscheid, Michael Weiss |
| title_full_unstemmed | The learning and teaching of Geometry in secondary schools a modeling perspective Patricio Herbst, Taro Fujita, Stefan Halverscheid, Michael Weiss |
| title_short | The learning and teaching of Geometry in secondary schools |
| title_sort | the learning and teaching of geometry in secondary schools a modeling perspective |
| title_sub | a modeling perspective |
| topic | Mathematikunterricht (DE-588)4037949-8 gnd Didaktik (DE-588)4070463-4 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Mathematikunterricht Didaktik Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029620731&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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