Developing the Concept of a Parabola in Taxicab Geometry

Autor/inn/en	Ada, Tuba; Kurtulus, Aytaç; Yanik, H. Bahadir
Titel	Developing the Concept of a Parabola in Taxicab Geometry
Quelle	In: International Journal of Mathematical Education in Science and Technology, 46 (2015) 2, S.264-283 (20 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2014.956825
Schlagwörter	Mathematics Instruction; Geometry; Geometric Concepts; Concept Formation; Grade 9; Algebra; Definitions; Mathematical Logic; High School Students; Prior Learning; Foreign Countries; Student Research; Learning Activities; Secondary School Mathematics; Turkey + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Geometrie; Elementare Geometrie; Concept learning; Begriffsbildung; School year 09; 9. Schuljahr; Schuljahr 09; Begriffsbestimmung; Mathematical logics; Mathematische Logik; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Vorkenntnisse; Ausland; Studentenforschung; Lernaktivität; Türkei
Abstract	The aim of this study was to observe the development process of the concept of a parabola in Taxicab geometry. The study was carried out in two stages. First, some activities related to Euclidean geometry and Taxicab geometry were designed based on concept development and real-life applications, and they were administered to a ninth-grade student. According to the findings, once the student learnt the definition of a parabola in Euclidean geometry, she was able to define a Taxicab parabola using the distance function in Taxicab geometry. Also, she came up with an algebraic definition of a Taxicab parabola based on this geometric definition of the concept of a parabola. Moving from algebraic definition to geometric representation, she configured the concept of a parabola in Taxicab geometry. By means of this application activity, the student had the opportunity to observe and practise the concept of a parabola in a real-life situation based on Euclidean geometry and Taxicab geometry. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01