Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries.
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Superior document: | ICME-13 Topical Surveys Series |
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TeilnehmendeR: | |
Place / Publishing House: | Cham : : Springer International Publishing AG,, 2016. Ã2016. |
Year of Publication: | 2016 |
Edition: | 1st ed. |
Language: | English |
Series: | ICME-13 Topical Surveys Series
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Online Access: | |
Physical Description: | 1 online resource (57 pages) |
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Table of Contents:
- Intro
- Main Topics You Can Find in This "ICME-13 Topical Survey"
- Contents
- 1 Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries
- 1 Introduction
- 2 Theoretical Considerations About Early Geometrical Thinking
- 2.1 Why Early Geometry Is Related to Isometries
- 2.2 Impact of Visualisation on Geometrical Thinking
- 2.3 Theoretical Background of Research in Early Geometrical Thinking
- 3 Early Geometrical Thinking in Research
- 3.1 Research About Identifying and Creating Shapes
- 3.1.1 Introduction
- 3.2 Results of Research on the Understanding of Geometric Figures
- 3.2.1 Understanding of Two-Dimensional (2-D) Figures by Children
- 3.2.2 Understanding of Three-Dimensional (3-D) Figures by Children
- 3.2.3 Teachers' Understanding of Basic Geometric Concepts
- 3.3 Didactical Proposals for Teaching the Concept of Geometric Figures
- 3.4 Empirical Research about Creating Arrangements Based on a Variety of Regularities, Symmetries, and Repetitions
- 3.4.1 The Role of Patterns in Mathematical Development
- 3.5 Reason for Research Related to Geometrical Patterns
- 3.6 Results of Research in Geometrical Patterning
- 3.6.1 Is It Obvious How to Continue?
- 3.6.2 Perceiving Regularity
- 3.6.3 Arrangements of Surfaces
- 3.6.4 Geometrical Relations
- 3.6.5 Quantitative Analysis of the Protocols
- 3.6.6 Building Vocabulary, Development of Language
- 3.6.7 Connections with Other Geometrical Aspects
- 4 Summary and Looking Ahead
- References.