Dynamic geometry software (DGS) such as Cabri and Geometers’ Sketchpad has been regularly used worldwide for teaching and learning Euclidean geometry for a long time. The DGS with its inductive nature allows students to learn Euclidean geometry via explorations. However, with respect to non-Euclidean geometries, do we need to introduce them to students in a deductive manner? Do students have quite different experiences in non-Euclidean environment? This study addresses these questions by illustrating the student mathematics teachers’ actions in dynamic spherical geometry environment. We describe how student mathematics teachers explore new conjectures in spherical geometry and how their conjectures lead them to find proofs in DGS.
- RT @A2SchoolsSuper: We ❤️ #TreeTown @A2schools #InspireA2 #A2gether Ann Arbor named best place to live in America - again https://t.co/yRrH… 1 month ago
- RT @SpringerEdu: Teachers’ talk about the mathematical practice of attending to precision link.springer.com/article/10.100… 1 month ago
- RT @SpringerEdu: RT @authorzone: Discover what English-language #SpringerNature books topped 2017’s list in downloads, citations, and menti… 1 month ago
- Sharing some thoughts about the process of settling down in Ann Arbor. #Sabbatical fulbright.no/grantee-experi… 5 months ago
- RT @velonews: Time trials can be a snooze, but the elite men’s ITT championship race was quite the opposite. velonews.com/2017/09/news/b… 5 months ago