Calculus of Pasta, Sausages, and Bagels: Can Their Surface Areas Be Derivatives of Their Volumes?

Autor/in	Sinitsky, Ilya
Titel	Calculus of Pasta, Sausages, and Bagels: Can Their Surface Areas Be Derivatives of Their Volumes?
Quelle	In: International Journal of Mathematical Education in Science and Technology, 51 (2020) 7, S.1146-1154 (9 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2019.1699967
Schlagwörter	Mathematics Instruction; Mathematics Activities; Mathematical Concepts; Geometric Concepts; Geometry; High School Students; Secondary School Mathematics; Food; Measurement + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Elementare Geometrie; Geometrie; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Lebensmittel; Messverfahren
Abstract	The surface area of a sphere as a function of radius, "r," is a derivative of the volume of the sphere, and a few other families of solids with this property are known. Sometimes, the derivative relationship can be reached with a tricky choice of size parameter "r." This paper presents an activity for students that discovers three types of solids that satisfy the derivative relationship between the volume and the surface area with a 'natural' choice of "r." It turns out that families of solids with a derivative relationship includes delicious sausages and bagels among other forms. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01