Comparing the Textbook with Professors' Intended and Enacted Potential Intellectual Need for Infinite Series in Calculus II

Autor/inn/en	Heon, Nikole; Mills, Melissa
Titel	Comparing the Textbook with Professors' Intended and Enacted Potential Intellectual Need for Infinite Series in Calculus II
Quelle	In: Investigations in Mathematics Learning, 15 (2023) 3, S.169-185 (17 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1947-7503
DOI	10.1080/19477503.2023.2169490
Schlagwörter	Calculus; Mathematics Instruction; Textbooks; Textbook Content; College Faculty; Alignment (Education); Lecture Method; Mathematics Activities; Learner Engagement; College Mathematics + Suchen Sie Ihr Suchwort? Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Mathematics lessons; Mathematikunterricht; Textbook; Text book; Schulbuch; Lehrbuch; Lehrbuchtext; Fakultät
Abstract	Infinite series are known to be challenging for Calculus II students, perhaps because they lack intellectual need for the content. In their analysis of Calculus textbooks found few instances of potential intellectual needs for infinite series. This study combines a textbook analysis with interviews of four professors and observations of their video-taped lectures. We compared the intellectual need in the textbook with what the professors intended to present and what they presented in lecture. The professors collectively intended to present the same potential intellectual needs that are found in the textbook, and they enacted presentations of these needs in their lectures. However, the professors incorporated more application problems than were found in the sections of the book. We outline implications for instructors, textbook authors, and course coordinators. In particular, reordering the topics to better show the intellectual need for power series and including more activities to engage students in problematic situations that power series can resolve. We noted that the instructors were presenting intellectual needs for power series in their own ways and were not reliant on the textbook. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01