Cognitive trajectory of proof by contradiction for transition-to-proof students

نویسندگان

چکیده

History and research on proof by contradiction suggests is difficult for students in a number of ways. Students’ comprehension already-written proofs one such aspect that has received relatively little attention. Applying the cognitive lens Action-Process-Object-Schema (APOS) Theory to contradiction, we constructed tested model describes how student might construct concept ‘proof contradiction’ an introduction course. Data this study was collected from series five teaching interventions focused contradiction. This paper will report two participants as case studies illustrate our trajectory useful describing may come understand method.

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ژورنال

عنوان ژورنال: The Journal of Mathematical Behavior

سال: 2021

ISSN: ['1873-8028', '0732-3123']

DOI: https://doi.org/10.1016/j.jmathb.2021.100849