Plane representations in a 3-dimensional dynamic geometry environment: An analysis of soft constructions
Résumé
In the use of dynamic geometry environments, notable attention has been paid to robust constructions. Learning to prove approaches based on construction problem-solving have recognized a potential in robust constructions, derived from the nature of software construction tools. Although it seems to leave soft constructions aside, some aspects in favour of their relevance have also been mentioned. As part of an ongoing research that analyses and characterizes the learning of proof in three-dimensional geometry by mathematically gifted students, with the support of three-dimensional dynamic geometry environments, we analyse the potential that soft constructions can have in construction problem-solving and how it allows us to understand the way students interpret three-dimensional geometric objects when these are represented on the computer screen.
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