Addressing Geometry and Algebra with "GeoGebra"

Addressing Geometry and Algebra with "GeoGebra"

1. SAMR

   • Substitution
     • Create worksheets
     • Create diagrams and graphs
     • Construct figures rather than using a compass
   • Augmentation
     • Students can draw graphs of functions
     • Students can use the slider to visualise and confirm geometric theorems
   • Modification
     • Students can investigate and discover geometric on their own, and share their findings
     • Students can visualise reflection and rotation
     • Students can create and visualise transformations of functions
   • Redefinition
     • Students can be introduced to differential calculus
     • Students can create and share digital presentations about their theorem and where it is found in the real world

2. How this tool supports 21st Century Skills

   • Communication
     • Talking to others
       • Being able to 'show' as well as 'tell. Students can create multimedia presentations to share their learning and understandings with others
   • Collaboration
     • Working with others
       • GeoGebra encourages an interactive student - teacher environment where everyone works as a team to guide and assist one another
       • Various studies show scaffolding (assistance from competent students to those who need help) is effective in learning mathematics
   • Critical Thinking
     • Finding solutions to problems
       • This program gives students the opportunity to work through concepts through exploration and visualisation
       • Scaffolding using technology is helpful in developing a students critical thinking
   • Creativity
     • Thinking outside the box
       • By letting students create their own work, be responsible for their own learning, and demonstrate that learning to other students, can encourage creativity

3. Research studies demonstrating GeoGebra's effectiveness

   • Effectiveness of Using Geogebra on Students’ Understanding in Learning Circles - PraveenSHADAAN[1], LEONGKwanEu[2]
     • GeoGebra plays a role in assisting students to visualise and understand circles though exploration
     • GeoGebra has an impact on student's understanding of Geometry
     • GeoGebra positively affected student learning and achievement and improved motivation
   • Students’ Performance in Geometrical Reflection Using GeoGebra - Pavethira Seloraji [1], Leong Kwan Eu [2]
     • GeoGebra helps the student with visualisation and bridges the gap between concrete examples to abstract examples
   • Delaying Scaffolding Using GeoGebra: Improving the Ability of Vocational Students to Draw Conclusions - K. Widjajanti 1,2, T. Nusantara 2, A. R. As’ari 2, S. Irawati 2, Z. A. Haris 1, D. N. Akbar 1, R. Lusbiantoro
     • Scaffolding using GeoGebra helps students to understand the translation of the representation of absolute functions and therefore is an effective tool in teaching mathematics

4. References

   • Icons
     • https://www.flaticon.com
   • Shadaan, P., & Leong, K. (2013). Effectiveness of Using GeoGebra on Students' Understanding in Learning Circles. Malaysian Online Journal of Educational Technology, 1(4), 1-11.
   • Pavethira Seloraji, & Leong Kwan Eu. (2017). Students’ Performance in Geometrical Reflection Using GeoGebra. Malaysian Online Journal of Educational Technology, 5(1), 65-77.
   • K. Widjajanti, T. Nusantara, A. R. As’ari, S. Irawati, Z. A. Haris, D. N. Akbar, & R. Lusbiantoro. (2019). Delaying Scaffolding Using GeoGebra: Improving the Ability of Vocational Students to Draw Conclusions. TEM Journal, 8(1), 305-310.
   • Mindmap created using "Goconqr.com

Images and files in the map