Polynomial Interpolation of Functions: Introducing Chebyshev Polynomials in a CAS Laboratory

Autor/in	Kidron, Ivy
Titel	Polynomial Interpolation of Functions: Introducing Chebyshev Polynomials in a CAS Laboratory
Quelle	In: International Journal for Technology in Mathematics Education, 25 (2018) 1, S.27-34 (8 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1744-2710
Schlagwörter	Algebra; Mathematical Formulas; Concept Formation; Interaction; Visualization; High School Students; Instructional Effectiveness; Computer Assisted Instruction; Grade 11; Mathematics Instruction; Student Reaction; Teacher Response + Suchen Sie Ihr Suchwort? Mathematische Formel; Concept learning; Begriffsbildung; Interaktion; Visualisation; Visualisierung; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Unterrichtserfolg; Computer based training; Computerunterstützter Unterricht; School year 11; 11. Schuljahr; Schuljahr 11; Mathematics lessons; Mathematikunterricht; Schülerkritik; Lehrerkommentar
Abstract	In this paper I analyze students' conceptual understanding of the quality of polynomial approximation. In particular, I analyze to what extent the interactive play with various methods of interpolation enables the students to build visual pictures that help understanding the formal mathematical statements. The role of the Mathematica software in enabling the students to visualize the theory is investigated as well as the importance of accompanying visual intuitions with the formal statement of the theory. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01