A 3D Visualization Teaching-Learning Trajectory for Elementary Grades Children

• Κύριοι συγγραφείς: Sack, Jacqueline (Συγγραφέας), Vazquez, Irma (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Έκδοση: 1st ed. 2016.
• Σειρά: SpringerBriefs in Education,
• Θέματα: Education.; Mathematics > Study and teaching.; Teaching.; Child development.; Mathematics Education.; Teaching and Teacher Education.; Childhood Education.; Learning & Instruction.

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...

Πίνακας περιεχομένων:

• 1. Introduction/ Preface
• 1.1 Project's origins
• 1.2 Brief overview of the book’s organization
• 2. Theoretical Frameworks
• 2.1 Why are visualization skills important?
• 2.2 Research methodology
• 2.3 Spatial Operational Capacity framework
• 2.4 School and classroom context
• 2.5 Pre-program interview
• 3. Introductory Activities
• 3.1 Four block houses
• 3.2 The Soma puzzle figures
• 3.3 Coordinating 2-Soma assembly figures
• 4. 2D to 3D to abstract top-view plans – Geocadabra interface
• 4.1 Learning to use Geocadabra – the Geobuddy manual
• 4.2 Explaining Difficult Figures in the Geocadabra manual
• 4.3 Front side top views
• 5. 3D to 2D via top-view numeric plans
• 5.1 Self-created task card puzzles; solving others’ puzzle cards
• 5.2 Finding multiple solutions for each puzzle card
• 5.3 Invention of a coding system for assembly figures with holes or overhangs
• 5.4 Extended Construction Box – making sense of 3-space using shadows
• 5.5 Rectangular prisms and top-view numeric representations - making sense of the LWH volume formula
• 6. Connections to numeracy
• 6.1 Expanding and scaling the Soma cube
• 6.2 Permutations within cake patterns. .