Graphical Forms: The Adaptation of Sherin's Symbolic Forms for the Analysis of Graphical Reasoning across Disciplines

Autor/inn/en	Rodriguez, Jon-Marc G.; Bain, Kinsey; Towns, Marcy H.
Titel	Graphical Forms: The Adaptation of Sherin's Symbolic Forms for the Analysis of Graphical Reasoning across Disciplines
Quelle	In: International Journal of Science and Mathematics Education, 18 (2020) 8, S.1547-1563 (17 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Rodriguez, Jon-Marc G.) ORCID (Bain, Kinsey) ORCID (Towns, Marcy H.)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1571-0068
DOI	10.1007/s10763-019-10025-0
Schlagwörter	Mathematical Logic; Mathematics Skills; Symbols (Mathematics); Graphs; Mathematical Models; Thinking Skills; Biology; Calculus; Chemistry; Physics + Suchen Sie Ihr Suchwort? Mathematical logics; Mathematische Logik; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Grafische Darstellung; Mathematical model; Mathematisches Modell; Denkfähigkeit; Biologie; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Chemie; Physik
Abstract	In this paper, we introduce and discuss a construct called "graphical forms," an extension of Sherin's symbolic forms. In its original conceptualization, symbolic forms characterize the ideas students associate with patterns in a mathematical expression. To expand symbolic forms beyond only characterizing mathematical equations, we use the general term "registration" to describe structural features attended to by individuals (parts of an equation or regions in a graph). When mathematical ideas are assigned to registrations in a graph, we characterize this as reasoning using graphical forms. As an analytic framework, graphical forms provide the language to discuss intuitive mathematical ideas associated with features in a graph, but we are also interested in engagement in modeling. Our approach to investigating graphical reasoning involves conceptualizing modeling as discussing mathematical narratives. This affords the language to describe reasoning about the process (or "story") that could give rise to a graph; in practice, this occurs when mathematical reasoning (i.e. reasoning using graphical forms) is integrated with context-specific ideas. In this work we describe graphical forms as an extension of symbolic forms and emphasize its utility for analyzing graphical reasoning. In order to illustrate how the framework could be applied, we provide examples of interpretations of graphs across disciplines, using graphs selected from introductory biology, calculus, chemistry, and physics textbooks. (As Provided).
Anmerkungen	Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01