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Direct linkHaj-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
Shai Olsher; Aehsan Haj-Yahya – For the Learning of Mathematics, 2025
Constructing mathematical proofs is a fundamental yet challenging skill in secondary school geometry. While technology has been used to scaffold different aspects of the proving process, existing approaches often separate inquiry and conjecturing from formal proof or focus on structural and technical assistance without addressing students' initial…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Geometry
Download full textYahya, 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
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…
Descriptors: Program Effectiveness, Foreign Countries, Middle Schools, Textbooks
