From Conflict to Unity: Leveraging Incoherence in Student Thinking to Improve Understanding
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Many methodological approaches, such as clinical interviews (Clement, 2000) and teaching experiments (Steffe & Thompson, 2000) are well-equipped for investigating the schemes and constructed knowledge of individuals (Glasersfeld, 1988). Sellers (2020) extended the teaching experiment to the exploratory teaching interview for when the researcher aims to influence student thinking but is not testing a pre-determined hypothesis. Numerous researchers have tasked subjects with reading proofs to probe their thinking (e.g., Dawkins & Zazkis, 2021). I used proof-texts during a teaching experiment which modeled a subject’s thinking. This approach was profoundly effective in revealing inconsistencies to the subject in her thinking.