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

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Sack, Jacqueline (Author), Vazquez, Irma (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:SpringerBriefs in Education,
Subjects:
Mathematics > Study and teaching .
Teachers > Training of.
Early childhood education.
Learning, Psychology of.
Mathematics Education.
Teaching and Teacher Education.
Early Childhood Education.
Instructional Psychology.
Online Access:Texto Completo
Table of Contents:
  • 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. .

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