Overview
- Uses a design research methodology that has evolved over 8 years
- Meets the need for children to develop visualization skills through hands-on experiences
- Includes connections to the numeracy strands in the elementary curriculum
- Emphasizes children's self-created problems
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Education (BRIEFSEDUCAT)
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About this book
This monograph describes the development and use of a 3D visualization teaching-learning trajectory for elementary age learners. Using design research principles, the authors developed this trajectory using the NCTM recommendations and the Spatial Operational Capacity (SOC) theoretical framework to guide lesson development. The SOC framework utilizes actual 3D models, 2D and abstract representations of the actual models, and, a dynamic computer interface, the Geocadabra Construction Box, which integrates these representations dynamically in real time. The work begins with describing the theoretical SOC frameworks that guided the study, the inquiry-based learning focus, the research method used, and informal pre-program interviews with participant children. The next chapter describes introductory activities used to orient the children to the 3D objects that they used throughout the program. The book then focuses on the development of abstract top-view numeric plan representations leading to representations of rectangular prisms, followed by front-side-top view representations. The last chapter shows how numeracy was integrated into the program to support the demanding official mathematics curriculum.
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Keywords
- 3D visualization
- Elementary mathematics education
- 3D visualization and numeracy connections
- Volume conceptualization using multiple representations
- Visualization skills in elementary learning
- Visualization of geometric objects
- Spatial Operational Capacity (SOC)
- Geocadabra Construction Box
- Abstract top-view numeric plan representations
- Front-side top view representations
- learning and instruction
Table of contents (6 chapters)
Authors and Affiliations
Bibliographic Information
Book Title: A 3D Visualization Teaching-Learning Trajectory for Elementary Grades Children
Authors: Jacqueline Sack, Irma Vazquez
Series Title: SpringerBriefs in Education
DOI: https://doi.org/10.1007/978-3-319-29799-6
Publisher: Springer Cham
eBook Packages: Education, Education (R0)
Copyright Information: The Author(s) 2016
Softcover ISBN: 978-3-319-29798-9Published: 30 March 2016
eBook ISBN: 978-3-319-29799-6Published: 21 March 2016
Series ISSN: 2211-1921
Series E-ISSN: 2211-193X
Edition Number: 1
Number of Pages: VI, 44
Number of Illustrations: 31 b/w illustrations
Topics: Mathematics Education, Teaching and Teacher Education, Early Childhood Education, Learning & Instruction