Dynamic Visualization of Line Integrals of Vector Fields: A Didactic Proposal

Autor/inn/en	Ponce Campuzano, J. C.; Roberts, A. P.; Matthews, K. E.; Wegener, M. J.; Kenny, E. P.; McIntyre, T. J.
Titel	Dynamic Visualization of Line Integrals of Vector Fields: A Didactic Proposal
Quelle	In: International Journal of Mathematical Education in Science and Technology, 50 (2019) 6, S.934-949 (16 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Ponce Campuzano, J. C.) ORCID (Matthews, K. E.)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2018.1510554
Schlagwörter	Visualization; Computer Simulation; Calculus; Mathematical Concepts; College Mathematics; Undergraduate Students; Computation; Mathematical Formulas; Mathematics Activities; Problem Solving + Suchen Sie Ihr Suchwort? Visualisation; Visualisierung; Computergrafik; Computersimulation; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Mathematische Formel; Problemlösen
Abstract	In this paper we present two simulations designed with GeoGebra that illustrate dynamically a key concept in Vector Calculus: line integrals of vector fields, along with other associated mathematical properties and applications. Students are not required to know the GeoGebra environment: a user-friendly interface with buttons, functionalities and online help and exemplar problems allows immediate use of the simulations. The goal of the simulations is to enhance student insight, in the spirit of learning by experimentation, by analysing the dynamic representations provided by the simulations and by dragging objects and changing the parameters involved. The numerical results can be confirmed for special cases by standard undergraduate calculations. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01