Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries.

Bibliographic Details
Main Author: Swoboda, Ewa.
Other Authors: Vighi, Paola.
Format: eBook
Language:English
Published: Cham : Springer International Publishing AG, 2016.
Edition:1st ed.
Series:ICME-13 Topical Surveys Series
Subjects:
Online Access:Click to View
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264 4 |c Ã2016. 
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505 0 |a 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. 
588 |a Description based on publisher supplied metadata and other sources. 
590 |a Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2023. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.  
655 4 |a Electronic books. 
700 1 |a Vighi, Paola. 
776 0 8 |i Print version:  |a Swoboda, Ewa  |t Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries  |d Cham : Springer International Publishing AG,c2016  |z 9783319442716 
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830 0 |a ICME-13 Topical Surveys Series 
856 4 0 |u https://ebookcentral.proquest.com/lib/matrademy/detail.action?docID=6422546  |z Click to View