Explore Existing GeoGebra Applets



  Learning Intentions and Success Criteria [Show/Hide]


Learning intentions

  1. increase knowledge of existing GeoGebra resources targeting grades 6-diploma algebra and geometry concepts
  2. increase knowledge of GeoGebra capabilities
  3. increase knowledge of possibilities for delivering GeoGebra content

Success criteria

  1. describe at least one GeoGebra applet applicable for use for mathematics learning and teaching in both:
    • a wiki discussion post with information on your best find (include topic/content target, direct link, and a brief reflection on the possibilities and drawbacks of the resource)
    • a 2-minute workshop presentation




  Introduction to using Technology for Mathematics Learning and Teaching [Show/Hide]


Principles and Standards for School Mathematics (NCTM):

"Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances student’s learning."

 

  Activity: 4-part Jigsaw [Show/Hide]

In small research groups, quickly look up (3 minutes) and prepare a brief presentation (1 minute or less) to summarize for other participants the core meaning or message of the topic. Each member of each group will present as part of a new "discussion group" that is composed of one member from each "research group."

  1. Topic 1 - Open Educational Resources (OER) (GeoGebra is OER)

  2. Topic 2 - Creative Commons License (the GeoGebra license is a CC license)

  3. Topic 3 - SAMR Model for Technology Integration (used in MLTI trainings)

  4. Topic 4 - TPACK Framework


  Possible Benefits of Technology Use for Mathematics Learning and Teaching: [Show/Hide]


(this list is meant to be illustrative and not exhaustive)
Access can increase access: to knowledge and help; for parents (e.g. to course information); to and for community members; to students in other schools; to experts; to simulations; to supercomputers; to technology labs; and more
Accessibility better access to resources for more students, including through digital formatting, audio and video resources
Assessment enhanced and rapid assessment possibilities, including for short-cycle formative assessment, alternative modalities, audio and video capture, and artifact access and preservation
Representations/Models can represent and extend models beyond the physically or practically possible
Interactive/Dynamic can increase engagement and initiate feedback cycle
Connections multiple simultaneous interconnected representations or models are possible
Speed rapidity of computation and iterative procedures; allows for rapid concept testing
Accuracy lessens opportunities for misconceptions
Feedback can be immediate, individualized, content-based
Personalization can tailor learning for specific individuals
Collaboration can enhance and extend possible methods for collaboration
Productivity can increase efficiency of creation of products and resources by teachers and students






GeoGebra Examples


A. Use Locally


4-stroke engine (simulation) (loaded locally from a HTML file during the workshop)
  1. Delivery: local .ggb file
  2. Benefit: visualization, immediate feedback, extend models, rapid concept testing
  3. GeoGebra notes: animation, images, conditional visibility, dynamic text, sliders

Perimeter Example (1) (loaded locally in a browser in GeoGebra application from a .ggb file during the workshop)
  1. Delivery: local HTML file loads in browser (note a HTML file can be set up to access GeoGebra .jar files online or locally)
  2. Benefit: visualization, interactivity with immediate content feedback
  3. GeoGebra notes: conditional visibility, dragging objects, dynamic text

B. Host Online


Octahedron Net applet (Other net applets by E. Knote)
  1. Delivery: GeoGebra Upload Manager (with Default Dynamic Worksheet Format)
  2. Benefits: visualization, interactivity
  3. GeoGebra notes: slider, animation

Are They Linear (4) applet
  1. Delivery: embed in a wiki page
  2. Benefits: visualization, increased speed, immediate content feedback
  3. GeoGebra notes: lists define values and grid, dragging objects defines values

Tessellations of Type P1, P2, and P3
  1. Delivery: basic HTML page embedded in a wiki using <iframe> HTML tag
  2. Benefits: visualization, increased speed, engagement (using user images
  3. GeoGebra notes: custom user-defined tools, directions embedded using slider and conditional visibility

Dynamic Geometry: Sewing Box
  1. Delivery: custom HTML page (no Javascript)
  2. Benefits: visualization, increased speed, interactivity, immediate content feedback
  3. GeoGebra notes: images, dragging object controls other objects and angle values

Protractor Practice
  1. Delivery: custom HTML page (no Javascript)
  2. Benefits: direct instruction tool and independent practice with immediate content feedback
  3. GeoGebra notes: image, random angle value controlled by refresh

How b depends on a?
  1. Delivery: custom HTML page with Javascript methods
  2. Benefits: visualization, increased speed, independent practice with immediate content feedback
  3. GeoGebra notes: javascript method to communicate with applet, with input built into HTML page

Madeira Honors Geometry Wiki - Student Page Example (this page is likely to change over time, and may be removed; please contact the author of this wiki if this link is broken)
  1. example classroom wiki includes individual student pages (advice: don't use real names!)
  2. student pages include GeoGebra Challenges, where students use GeoGebra to answer a challenge task and post it to the wiki




Explore Existing GeoGebra Resources and Report Out

A. Explore example GeoGebra tools using the sites below

  • GeoGebra Wiki
  • UC MAT Technology GeoGebra Wiki (linked to at the bottom of the GeoGebra Wiki)
  • EDC in Maine GeoGebra tools - a long combined list or by searching (note: the searchable site is currently under development, does not contain all the tools found in the list, and you should not use the links on the searchable site with a classroom of computers unless you have tested multiple computers loading at once on your network)

B. Post to wiki discussion forum (click on "Discussion" tab above)

  • Describe at least one existing GeoGebra applet applicable for use for mathematics learning and teaching.
    Include at least the following information:
    1. topic/content target
    2. a direct link to the tool; plain text is OK, or use double brackets to make live, like: [[ http://learn-ggb.wikispaces.com]]
    3. a brief reflection on the possibilities and drawbacks of the resource