Tic-Tac-Toe and Repeated Integration by Parts: Alternative Pedagogical Perspectives to Lima's Integral Challenge

Autor/in	Tisdell, Christopher C.
Titel	Tic-Tac-Toe and Repeated Integration by Parts: Alternative Pedagogical Perspectives to Lima's Integral Challenge
Quelle	In: International Journal of Mathematical Education in Science and Technology, 51 (2020) 3, S.424-430 (7 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Tisdell, Christopher C.)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2019.1620969
Schlagwörter	Stellungnahme; Teaching Methods; Mathematics Instruction; Mathematical Formulas; Problem Solving; Comparative Analysis + Suchen Sie Ihr Suchwort? Teaching method; Lehrmethode; Unterrichtsmethode; Mathematics lessons; Mathematikunterricht; Mathematische Formel; Problemlösen
Abstract	Recently, Lima lamented on the 'time-consuming and tiresome' pedagogical nature of repeated integration by parts, throwing down the challenge of providing a pencil-and-paper solution to a related problem in a few seconds. Lima put forth a simple formula as an alternative. In this work, I offer a response to Lima's challenge and his formula. Drawing on the concepts of deconstruction and problematization, I offer alternative pedagogical perspectives regarding repeated integration by parts that involves tabular integration (aka Tic-Tac-Toe). I also explore the case of Lima's formula when an exponent in the integral is purely imaginary and compare this approach with repeated integration by parts. This paper forms alternative pedagogical constructs for students and educators to work with in the space of repeated integration by parts. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01