Classroom Experiences in Introducing Students to Conjectures, Exploration and Visual Proofs Using Experiments on the Möbius Strip

Autor/inn/en	Flórez, Rigoberto; Mukherjee, Antara
Titel	Classroom Experiences in Introducing Students to Conjectures, Exploration and Visual Proofs Using Experiments on the Möbius Strip
Quelle	In: PRIMUS, 30 (2020) 1, S.50-66 (17 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1051-1970
DOI	10.1080/10511970.2018.1506530
Schlagwörter	Mathematics Instruction; College Mathematics; Secondary School Mathematics; Undergraduate Study; Experiments; Mathematical Concepts; Validity; Mathematical Logic; High School Students; College Students; Experiential Learning; Manipulative Materials; Geometry + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Grundstudium; Erprobung; Gültigkeit; Mathematical logics; Mathematische Logik; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Collegestudent; Experiental learning; Erfahrungsorientiertes Lernen; Hilfsmittel; Geometrie
Abstract	We describe some classic experiments on the Möbius strip, the projective plane band, and the Klein bottle band. We present our experience with freshmen college students, college teachers, high school students, and Mathematics Education graduate students. These experiments are designed to encourage readers to learn more about the properties of the Möbius strip and provide visual proofs of these properties using exploration techniques. The experiments include constructing the objects, observing their properties, and explaining via experiments that altering the objects by cutting them does not preserve their hereditary properties. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01