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Helping Students Develop Spatial Awareness Using GeoGebra 3D With Augmented Reality

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Philadelphia Marriott Downtown, Franklin 3/4

Explore and create: Deep-dive Creation lab
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Presenters

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Math Teacher and Coach
New Haven Public Schools (CT)
@TimBrzezinski
@brzezinski_math
Tim Brzezinski is a full time mathematics teacher at Engineering and Science University Magnet School (New Haven Public Schools, CT, USA) and a part time independent mathematics education consultant. Mr. Brzezinski enjoys empowering students to actively engage, explore, discover, and learn mathematics, and he also enjoys empowering other teachers to do the same. In his consulting work, Tim facilitates active and engaging professional development workshops for mathematics teachers and administrators worldwide. In these workshops, he demonstrates how many EdTech apps can serve as powerful platforms that effectively foster active, student-centered, and differentiated discovery-based learning, meaningful remediation, and ongoing formative assessment.

Session description

Learn how to use GeoGebra 3D Calculator to construct models of 3D objects using concepts students learn in a variety of math curricula. We'll use augmented reality on our phones and tablets to test the accuracy of our models by superimposing our virtual constructions over the real objects.

Purpose & objective

Goals:
1) Create a 3D construction using GeoGebra 3D Calculator
2) Open a GeoGebra 3D construction on any smartphone or tablet
3) Place any 3D construction in augmented reality (AR)
4) Explore such construction described above in AR
5) Use AR to test the accuracy of 3D models
6) Revise a GeoGebra 3D construction & save changes

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Outline

Time allotment:
1) Create a GeoGebra account and quickly install necessary app(s) on our devices (10 min)
2) Use coordinate geometry to construct a virtual model of a physical rectangular prism (on the table) using ordered triples (x,y,z). (20 min)
3) Open this construction in AR and superimpose the virtual model over the real model (fitness test) (10 min)
4) Create surfaces of revolution (cereal bowls + drinking cups) using GeoGebra's segment, linear function, and surface commands. Use these create virtual 3D models of these objects mathematically BUILT TO SCALE and use these AR to test the accuracy of these models. (45 min)
5) Summary with Q & A (5 min)

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Supporting research

Augmented Reality assisted by GeoGebra 3-D for geometry learning

https://www.researchgate.net/publication/348491497_Augmented_Reality_assisted_by_GeoGebra_3-D_for_geometry_learning

3D Modeling with AR (Series)
https://www.geogebra.org/m/cqt9tnu8

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Session specifications

Topic:
Augmented, mixed & virtual reality
Grade level:
6-12
Skill level:
Beginner
Audience:
Coaches, Teachers
Attendee devices:
Devices required
Attendee device specification:
Smartphone: Android, iOS
Laptop: Chromebook, Mac, PC
Tablet: Android, iOS
Participant accounts, software and other materials:
GeoGebra 3D Calculator with Augmented Reality (download links for iOS and Android can be found here: https://www.geogebra.org/m/bcdafv8s).
Subject area:
Math
ISTE Standards:
For Educators:
Designer
  • Use technology to create, adapt and personalize learning experiences that foster independent learning and accommodate learner differences and needs.
  • Design authentic learning activities that align with content area standards and use digital tools and resources to maximize active, deep learning.
  • Explore and apply instructional design principles to create innovative digital learning environments that engage and support learning.
Disclosure:
The submitter of this session has been supported by a company whose product is being included in the session