Visualizing Complex Roots of a Quadratic Equation

Autor/inn/en	Edwards, Thomas; Özgün-Koca, S. Asli; Chelst, Kenneth
Titel	Visualizing Complex Roots of a Quadratic Equation
Quelle	In: Mathematics Teacher: Learning and Teaching PK-12, 114 (2021) 3, S.238-243 (6 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0025-5769
Schlagwörter	Leitfaden; Unterricht; Lehrer; Calculus; Mathematics Instruction; Graphs; Computer Software; Teaching Methods; Standards; Learning Activities; Computer Assisted Instruction; Teacher Student Relationship + Suchen Sie Ihr Suchwort? Lesson concept; Instruction; Unterrichtsentwurf; Unterrichtsprozess; Teacher; Teachers; Lehrerin; Lehrende; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Mathematics lessons; Mathematikunterricht; Grafische Darstellung; Teaching method; Lehrmethode; Unterrichtsmethode; Standard; Lernaktivität; Computer based training; Computerunterstützter Unterricht; Teacher student relationships; Lehrer-Schüler-Beziehung
Abstract	In this article, the authors share activities designed to help students make a connection between the complex roots of X[superscript 2] - 2x + 5 = 0 and the graph of y = X[superscript 2] - 2x + 5. We piloted these activities in three precalculus classes. The activities involved both concrete and technological representations of the mathematical situation. Students manipulated the concrete representation, whereas one of the authors manipulated a GeoGebra representation. In so doing, the authoss believe that students were using these two representations to model and interpret a mathematical phenomenon, as suggested in "Principles and Standards for School Mathematics" (NCTM 2000), as well as making connections between the two representations. (ERIC).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: nctm@nctm.org; Web site: https://pubs.nctm.org/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01