GeoGebra was used to explore proofs of some geometry concepts such as chords, angles, and tangents. I found it interesting to be able to work out these proofs in various ways. I think this would be beneficial for high school students that find it difficult to understand the concepts and visualize them. It also allows students to explore any other questions they may have. For example, our group worked on lesson one which explored the chords of a circle and we were able to play around and move with the endpoints of the chords. GeoGebra is also able to quickly and accurately produce geometric objects. As Mason mentions, exploring proofs and being skeptical allows students to be involved and understand the reasoning behind the math (Mason, 2001). I think the use of GeoGebra is a great technological tool to explore and analyze math concepts.
Saturday, November 27, 2021
Proofs
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Thanks, Simi. Could you also respond to Susan's first two guiding questions?
ReplyDeletea) Do deductive proofs convince students in secondary school?
b) Do dynamic geometry 'proofs' convince students in secondary school?
Do deductive proofs and dynamic geometry proofs convince students in secondary school?
ReplyDeleteHighschool students often struggle with proofs and I think there may be a struggle in using them to convince students. However, I still think it is important to discuss the role proofs play in mathematics. I think by introducing proofs to high school students, it shows the why things are done the way they are rather than just the steps used to simply solve the problems. I also like the idea using GeoGebra as a visual aid as I think it helps to understand these proofs. I think it’s a great way for students to test out their reasoning on concepts and then to justify and explain their reasoning.