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Haj-Yahya, Aehsan; Hershkowitz, Rina; Dreyfus, Tommy – Mathematics Education Research Journal, 2023
The current study is part of a comprehensive research on linking visualization, students' construction of geometrical concepts and their definitions, and students' ability to prove. The aim of the current study is to investigate the effect of learners' understanding of definitions of geometrical concepts on their understanding of the essence of…
Descriptors: Mathematical Logic, Validity, Geometry, Definitions
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Yahya, Aehsan Haj; Hershkowitz, Rina; Dreyfus, Tommy – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
We present the second stage of a study within the context of geometry, whose aim is to investigate relationships between and influence of visualization, the concept images of students concerning geometrical concepts and their definition, and students' ability to prove. We focus on links between the understanding of the definition's role in…
Descriptors: Mathematical Logic, Validity, Geometry, Definitions