Developing Spatial Awareness Using GeoGebra 3D with AR

Tim Brzezinski, Mar 17, 2022

Developed for NCTM Regional 2022 Indianapolis Workshop: [b]Where Am I? Formatively Assessing Student Spatial Awareness Using GeoGebra 3D and Augmented Reality[/b] [url]https://ww5.aievolution.com/ntm2204/index.cfm?do=ev.viewEv&ev=1152[/url]


  • 1. Building Spatial Awareness: Intro
  • 2. Creating Surfaces of Revolution: Part 1
  • 3. Creating Surfaces of Revolution (Part 2)
  • 4. Cup Modeling: Spinning a Segment about an Axis
  • 5. Cup Modeling: Spinning a Linear Function about an Axis

1.

Building Spatial Awareness: Intro

Goal: Build this rectangular prism in the app below.
Note the prism above has 8 vertices (corners). If we position one of its vertices at (0,0,0), enter 7 other ordered triples (x,y,z) that can serve as locations for its other vertices.
NEXT STEPS:
Note the prism above has six faces. [br]Lets construct other five faces of this prism that are not contained in the gridded plane above. [br][br]Once you're done plotting the 7 other vertices of your prism:[br][list][*]Press the TOOLS icon (left side). [/*][*]Find and select the POLYGON [icon]/images/ggb/toolbar/mode_polygon.png[/icon] tool. [/*][*]Use this tool to construct each face of the polygon. (When building a face, be sure you select vertices in a circular order and "close" the polygon with the first vertex you selected.)[/*][*]If you want to move your 3D construction around select the MOVE [icon]/images/ggb/toolbar/mode_move.png[/icon] tool to turn off the POLYGON tool so you can. [/*][*][b]Tip: [/b]RIGHT CLICK on any point and select "FIX OBJECT" to prevent that point from moving. [/*][/list]
This quick silent demo below show how to do these steps described above.
– Tim Brzezinski

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