Session Format
Conference Session (20 minutes)
Target Audience
Post Secondary Education
Abstract for the conference program
In my study about pre-service secondary mathematics teachers’ (PSMTs) understanding about the nature of theorems in geometry, I noticed that it was challenging for the PSMTs to visualize and draw counterexamples to disprove the given mathematical statements. The use of the dragging feature of some digital tools, such as The Geometer’s Sketchpad (GSP), in teaching and learning proof and reasoning has been widely discussed and become an ongoing research trend. In this conference session presentation, I will introduce the background of the use of dragging feature in dynamic geometry environment and present two examples showing how this feature could be useful in helping the learners find counterexamples for the two geometrical statements, and thus enhance their understanding about the meaning and usage of counterexamples in geometrical reasoning. The session is potentially beneficial to pre-service/in-service secondary math teachers and teacher educators.
Proposal Track
R1: Projects in Process
Start Date
3-23-2018 4:00 PM
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
An, Tuyin and Nguyen, Ha, "Visualizing geometrical counterexamples using digital tools" (2018). Interdisciplinary STEM Teaching & Learning Conference (2012-2019). 21.
https://digitalcommons.georgiasouthern.edu/stem/2018/2018/21
Included in
Visualizing geometrical counterexamples using digital tools
In my study about pre-service secondary mathematics teachers’ (PSMTs) understanding about the nature of theorems in geometry, I noticed that it was challenging for the PSMTs to visualize and draw counterexamples to disprove the given mathematical statements. The use of the dragging feature of some digital tools, such as The Geometer’s Sketchpad (GSP), in teaching and learning proof and reasoning has been widely discussed and become an ongoing research trend. In this conference session presentation, I will introduce the background of the use of dragging feature in dynamic geometry environment and present two examples showing how this feature could be useful in helping the learners find counterexamples for the two geometrical statements, and thus enhance their understanding about the meaning and usage of counterexamples in geometrical reasoning. The session is potentially beneficial to pre-service/in-service secondary math teachers and teacher educators.
