3D Graphing (GeoGebra3D)

Official Resources

GeoGebra website

Exploratory video

Getting Started with GeoGebra Augmented Reality

Activity

You can find a GeoGebra activity here in the Wiki

Feature Set

• Basic Tools

  • Move

  • Point

  • Pyramid

  • Cube

  • Sphere: Center & Point

  • Plane through 3 Points

  • Intersect Two Surfaces

  • Net

• Edit

  • Show/Hide Label

  • Show/Hide Object

  • Delete

  • View in front of

• Points

  • Point

  • Intersect

  • Midpoint of Center

  • Point on Object

  • Attach/Detach Point

• Lines and Polygons

  • Segment

  • Segment with Given Length

  • Line

  • Ray

  • Vector

  • Polygon

  • Regular Polygon

  • Perpendicular Line

  • Parallel Line

  • Angle Bisector

  • Tangents

• Solids

  • Pyramid

  • Prism

  • Tetrahedron

  • Cube

  • Sphere: Center & Point

  • Sphere: Center & Radius

  • Cone

  • Cylinder

  • Extrude to Pyramid

  • Extrude to Prism

  • Net

  • Surface of Revolution

• Planes

  • Plane through 3 Points

  • Plane

  • Parallel Plane

  • Perpendicular Plane

• Circles

  • Circle with Axis through Point

  • Circle with Center, Radius and Direction

  • Circle through 3 Points

  • Circular Arc

  • Circumcircular Arc

  • Circular Sector

  • Circumcircular Sector

• Curves

  • Ellipse

  • Conic though 5 Points

  • Parabola

  • Hyperbola

  • Locus

  • Intersect Two Surfaces

• Transform

  • Reflect about Plane

  • Reflect about Point

  • Rotate around Line

  • Translate by Vector

  • Dilate from Point

  • Reflect about Line

• Measure

  • Angle

  • Distance of Length

  • Area

  • Volume

• Others

  • Rotate 3D Graphics View

  • Move Graphics View

  • Copy Visual Style

• Special Lines

  • Vector from Point

  • Polyline

  • Polar of Diameter Line

Class Feedback

The class completed the following in-class activity using the GeoGebra AR phone application. The following survey was distributed afterward and the results were as follows:

Ratings (out of 5, with 5 being the best):

• Overall experience: 3.6 (average), 4 (median)

• Usability: 3.5 (average), 4 (median)

• 40% outright preferred this app to the alternative they used in their multivariable calculus class, another 40% put some variation of yes when asked if this tool was more helpful than what they used to make graphs in multivariable calculus

Reviews:

• People liked:

  • That the interface was very simple and intuitive

  • The ease of exporting images

  • Unit conversion features

  • Being able to easily switch between 3D and AR

  • Being able to change colors

  • Being able to use multiple intersecting features

• Points of Improvement:

  • Surface detection

  • Load time for more complicated equations

  • Adding functionality so that graphs can be entered as pure text

  • Easier control of perspective in the app

  • Providing a basic tutorial with the app

  • Providing hand tracking in AR

• 3D vs. AR:

  • General consensus was that viewing graphs in AR was more enjoyable and intuitive than in 3D

  •  3D allowed for more movement and was more stable

• Possible features for the application:

  • VR support

  • Being able to set bounds and highlight them (would help with visualizing integrals)

  • Parametric curves and surfaces 

  • Collaborative experiences