Fun with Flags -- A Problem Set for Dynamic Geometry Environments

Autor/in	Dorner, Christian
Titel	Fun with Flags -- A Problem Set for Dynamic Geometry Environments
Quelle	In: International Journal of Mathematical Education in Science and Technology, 52 (2021) 10, S.1557-1576 (20 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2020.1849837
Schlagwörter	Problem Sets; Geometry; Mathematics Instruction; Problem Solving; Thinking Skills; Teaching Experience; Foreign Countries; Secondary School Mathematics; College Mathematics; Austria + Suchen Sie Ihr Suchwort? Problemstellung; Geometrie; Mathematics lessons; Mathematikunterricht; Problemlösen; Denkfähigkeit; Ausland; Österreich
Abstract	This paper deals with a set of geometrical problems for mathematical problem-solving at different difficulty levels. All of these are presented as national flags and one has to investigate invariant area proportions when changing the locus of any corner of the flag. This dynamic element suggests the usage of dynamical geometry environments. Considering applications in mathematics classes, it allows training students' ability to find a proof above all in the phases of production of a conjecture and exploration of the conjecture. First, the paper introduces results of selected studies on reasoning and proof in mathematics classes. Then the formulation of the problems and their sample solutions are given. Finally, the paper reports on experiences teaching some of the posed problems. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01