@inproceedings{62cb96e18aa6495b9518f80f0ec11f0c,
title = "Seeking physical/mathematical coherence by recruiting and reconciling reasoning: A case study in E\&M",
abstract = "The entanglement between physical and mathematical reasoning can be exploited for problem solving, making physical/mathematical coherence seeking a desirable learning goal. Our research aim is to contribute an empirical example of physical/mathematical coherence seeking during physics problem solving. Drawing from a video corpus of 18 interviews with students solving qualitative E\&M problems, we present a case study of how and why a student reasons coherently with physical entities/processes and mathematical equations across three lines of reasoning. We focus especially on the role of the student{\textquoteright}s attempt to seek coherence, which explains their serious consideration of a contradiction that arises between a physical and a mathematical line of reasoning. Even after reaching the correct conclusion, the student recruits a third line of reasoning involving ideas from outside the explicit problem statement to resolve the contradiction. We end by discussing hypotheses about how instruction in physical/mathematical coherence seeking could support students in problem solving.",
author = "Ehrlich, \{Gabriel S.\} and Katherine Gifford and Eric Kuo and Engin Bumbacher",
note = "This material is based upon work supported by the National Science Foundation and Department of Defense under Grants PHY-1659598 and PHY-1950744. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation or Department of Defense.; Physics Education Research Conference, PERC 2021 ; Conference date: 04-08-2021 Through 05-08-2021",
year = "2021",
doi = "10.1119/perc.2021.pr.Ehrlich",
language = "English (US)",
isbn = "9780917853487",
series = "Physics Education Research Conference Proceedings",
publisher = "American Association of Physics Teachers",
pages = "111--116",
editor = "Bennett, \{Michael B.\} and Frank, \{Brian W.\} and Vieyra, \{Rebecca E.\}",
booktitle = "Physics Education Research Conference Proceedings",
address = "United States",
}