Characterizations of student, instructor, and textbook discourse related to basis and change of basis in quantum mechanics

dc.contributor.authorSerbin, Kaitlyn Stephensen
dc.contributor.authorWawro, Meganen
dc.contributor.authorStorms, Rebecahen
dc.date.accessioned2022-04-21T12:32:52Zen
dc.date.available2022-04-21T12:32:52Zen
dc.date.issued2021-06-02en
dc.description.abstractCommunities develop social languages in which utterances take on culturally specific situated meanings. As physics students interact in their classroom, they can learn the broader physics community's social language by co-constructing meanings with their instructors. We provide an exposition of a systematic and productive use of idiosyncratic, socially acquired language in two classroom communities that we consider to be subcultures of the broader community of physicists. We perform a discourse analysis on twelve quantum mechanics students, two instructors, and the course text related to statements about basis and change of basis within a spin-1/2 probability problem. We classify the utterances' grammatical constructions and situated meanings. Results show that students and instructors' utterances referred to a person, calculation, vector being in, or vector written in a basis. Utterances in these categories had similar situated meanings and were used similarly by the students and instructors. Utterances referred to change of basis as changing the form of a vector, writing the vector in another way, changing the vector into another vector, or switching bases. Utterances in these categories had varying situated meanings and were used similarly by the students and instructors. The students and instructors often switched between different discourse types in quick succession. We found similar utterance types, situated meanings, and grammatical constructions across students and instructors. The textbook's discourse sometimes differed from the discourse of the students and instructors. Within this study, the students and instructors were from two universities, yet they spoke similar utterances when referring to basis and change of basis. This gives evidence to their shared social language with a broader community of physicists. Integrating and leveraging social languages in the classroom could facilitate students' enculturation into the classroom and broader professional community.en
dc.description.notesThis material is based upon work supported by the National Science Foundation under Grant No. DUE1452889. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the NSF. We thank the reviewers for their comments and insight that helped us improve this manuscript.en
dc.description.sponsorshipNational Science FoundationNational Science Foundation (NSF) [DUE1452889]en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1103/PhysRevPhysEducRes.17.010140en
dc.identifier.issn2469-9896en
dc.identifier.issue1en
dc.identifier.other10140en
dc.identifier.urihttp://hdl.handle.net/10919/109715en
dc.identifier.volume17en
dc.language.isoenen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleCharacterizations of student, instructor, and textbook discourse related to basis and change of basis in quantum mechanicsen
dc.title.serialPhysical Review Physics Education Researchen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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