Gestures, Embodiment, and Learning the Rate of Change

Autor/inn/en	Yu, Yanning; Uttal, David H.
Titel	Gestures, Embodiment, and Learning the Rate of Change
Quelle	In: Mathematical Thinking and Learning: An International Journal, 24 (2022) 3, S.203-229 (27 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Yu, Yanning) ORCID (Uttal, David H.)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1098-6065
DOI	10.1080/10986065.2020.1864574
Schlagwörter	Human Body; Mathematics Skills; Mathematical Concepts; Change; Calculus; Undergraduate Students; College Mathematics; Advanced Courses; Introductory Courses; Advanced Students; Speech Communication; Symbols (Mathematics); Learning Processes; Knowledge Level; Problem Solving + Suchen Sie Ihr Suchwort? Menschlicher Körper; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Wandel; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Fortgeschrittenenunterricht; Einführungskurs; Fortgeschrittener; Learning process; Lernprozess; Wissensbasis; Problemlösen
Abstract	Many researchers have stressed the embodied nature of mathematical understanding. Here we explore how embodied knowledge may evolve as students learn a basic calculus concept: the rate of change. We examined undergraduate students with different levels of calculus knowledge working in pairs to model the rate of change in an everyday phenomenon. Our findings revealed substantial differences between advanced and introductory students in how they represented rate of change with their speech and gestures. In particular, the advanced students' embodied representations showed alignment with the formal symbolic process of integration and reflected more advanced ways to coordinate the relation between multiple changing variables. For example, advanced students often made gestures that represented a "disk" when explaining how the rate at which water rose in a bottle was related to the change in height. Thus, both introductory and advanced students demonstrated embodied knowledge through speech and gestures, but the advanced students constructed different concrete representations that reflected an advancement in their embodied knowledge. Our findings are relevant to calculus education and to the study of gestures in mathematics learning. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01