ERIC Number: ED657881
Record Type: Non-Journal
Publication Date: 2023
Pages: 11
Abstractor: As Provided
ISBN: N/A
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An Application of Habermas Construct of Rationality to Support Students' Proof Validation Skills
Yuling Zhuang
North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (45th, Reno, NV, Oct 1-4, 2023)
Proof validation plays a significant role in students' understanding and learning of mathematical proofs. Recent studies have shown that university students were lacking skills in proof validation and were challenged by the implementation of the appropriate acceptance criteria when validating proofs. Drawing on Habermas' construct and rational questioning, the present study develops a proof validation framework that seeks to improve students' proof validation skills. The written responses of students' proof validation were analyzed based on their use of the proof validation framework in the context of a transition-to-proof course. The results showed that students primarily focused on the epistemic rationality component when they accept or reject the purported proof and that the students experienced difficulties with meeting the requirements of rationality components. Some educational implications are provided. [For the complete proceedings, see ED657822.]
Descriptors: Mathematical Concepts, Mathematics Instruction, Validity, Mathematical Logic, Guidelines, Teaching Methods, Graduate Students, Workshops
North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Publication Type: Speeches/Meeting Papers; Reports - Research
Education Level: Higher Education; Postsecondary Education
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Language: English
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