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Haj-Yahya, Aehsan – Mathematics Education Research Journal, 2020
This study investigated the effects of students' constructions of geometrical concepts related to the circle on their construction and validation of proofs. The participants were 110 high school students. A questionnaire was administered; both qualitative and quantitative methods were used to analyze the results. Afterwards, in-depth interviews…
Descriptors: Mathematical Logic, Validity, Geometric Concepts, High School Students
Noble, Tracy; DiMattia, Cara; Nemirovsky, Ricardo; Barros, Apolinario – Cognition and Instruction, 2006
A group of high school students created a drawing of a circle using a device called the Drawing Machine. To describe their experiences, we propose an alternative to the idea that to master a tool one must create a mental version of the tool. We suggest, instead, that as students change their relationships to a tool over time, their lived-in spaces…
Descriptors: High School Students, Student Experience, Planning, Drafting