ERIC Number: EJ1050104
Record Type: Journal
Publication Date: 2015
Pages: 20
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: N/A
Developing the Concept of a Parabola in Taxicab Geometry
Ada, Tuba; Kurtulus, AytaƧ; Yanik, H. Bahadir
International Journal of Mathematical Education in Science and Technology, v46 n2 p264-283 2015
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.
Descriptors: 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
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Publication Type: Journal Articles; Reports - Research
Education Level: Grade 9; Junior High Schools; Middle Schools; Secondary Education; High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Turkey
Grant or Contract Numbers: N/A