Literaturnachweis - Detailanzeige
Autor/inn/en | Sadek, Jawad; Euler, Russell |
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Titel | Classroom Issues with Series Tests |
Quelle | In: AMATYC Review, 27 (2005) 1, S.58-60 (3 Seiten)
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0740-8404 |
Schlagwörter | Calculus; Misconceptions; Mathematics Instruction; College Mathematics; Community Colleges; Mathematical Concepts; Tests; Textbooks |
Abstract | We find infinite series in calculus to be one of the most confusing topics our students encounter. In this note, we look at some issues that our students find difficult or ambiguous involving the Ratio Test, the Root Test, and also the Alternating Series Test. We offer some suggestions and some examples, which could be a supplement to the set of the exercises in the standard calculus texts, to help alleviate these difficulties. Precisely, we discuss the issue of the relationship between the Ratio Test and the Root Test as well as some misconceptions that students may have when applying the Alternating Series Test. In particular, students often fail to understand the importance of checking that the sequence is nonincreasing. We also point out how they may even confuse the concept of alternating terms. (As Provided). |
Anmerkungen | American Mathematical Association of Two-Year Colleges. 5983 Macon Cove, Memphis, TN 38134. Tel: 901-333-4643; Fax: 901-333-4651; e-mail: amatyc@amatyc.org; Web site: http://www.amatyc.org |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |