The Beauty of Abstraction in Mathematics

Autor/inn/en	Lingefjärd, Thomas; Hatami, Russell
Titel	The Beauty of Abstraction in Mathematics
Quelle	In: Policy Futures in Education, 18 (2020) 4, S.467-482 (16 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Lingefjärd, Thomas)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1478-2103
DOI	10.1177/1478210319895104
Schlagwörter	Abstract Reasoning; Aesthetics; Mathematics; Mathematical Concepts; Generalization; Algebra; Geometry; Computer Use; Investigations; Equations (Mathematics) + Suchen Sie Ihr Suchwort? Abstraktes Denken; Denken; Ästhetik; Mathematik; Geometrie; Untersuchung; Equations; Mathematics; Gleichungslehre
Abstract	This is an article about abstraction, generalization, and the beauty of mathematics. We claim that abstraction and generalization in of itself may very well be a beauty of the human mind. The fact that we humans continue to explore and expand mathematics is truly beautiful and remarkable. Many years ago, our ancestors understood that seven stones, seven fish, and seven trees represent in some sense one entity, in this case all united by the number seven. That in itself is an abstraction. We will discuss abstraction and the different beautiful properties of mathematics in relation to some examples, where we describe the connection between algebra and geometry. Modern technological tools enable and encourage us to perform mathematical investigations of a kind that was once considered difficult. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01