@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 = "Publisher Copyright: {\textcopyright} 2021, American Association of Physics Teachers. All rights reserved.; 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",

}