Mathematics Teacher Candidates' Approaches to Using Topology in Geometry

Autor/inn/en	Aksu, Zeki; Gedik, Solmaz Damla; Konyalioglu, Alper Cihan
Titel	Mathematics Teacher Candidates' Approaches to Using Topology in Geometry
Quelle	In: School Science and Mathematics, 121 (2021) 4, S.192-200 (9 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Aksu, Zeki)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0036-6803
DOI	10.1111/ssm.12464
Schlagwörter	Mathematics Teachers; Preservice Teachers; Mathematics Instruction; Teaching Methods; Thinking Skills; Foreign Countries; Turkey + Suchen Sie Ihr Suchwort? Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Mathematics lessons; Mathematikunterricht; Teaching method; Lehrmethode; Unterrichtsmethode; Denkfähigkeit; Ausland; Türkei
Abstract	When we look at the theoretical relationships between the three types of geometry, we find that the most primitive type is topology and that both Euclidean and projective geometry are derived from this earlier type. Therefore, Piaget described the first stage or level of understanding geometry as topological understanding. In this study, the geometric thinking conditions of mathematics teacher candidates were examined and what they think about the topology course was determined by surveying their opinions about the undergraduate courses. The participants of the study consisted of 36 teacher candidates studying in the Mathematics Department of the Faculty of Science attached to a university in Turkey. The findings of the study revealed that none of the teacher candidates used topological thinking to solve the questions in the data collection instrument. Those candidates who considered topology as an abstract course did not associate topology with geometry. A thorough understanding of the meaning of topology and topological thought is an advantage to young children as well as college-age students; improving mathematics curricula on this topic, particularly at the graduate level, will ensure that all future teachers are appropriately trained for their future responsibility of educating others. We believe that it is necessary to give Topology and topological thought the place they deserve in the educational process. (As Provided).
Anmerkungen	Wiley. Available from: John Wiley & Sons, Inc. 111 River Street, Hoboken, NJ 07030. Tel: 800-835-6770; e-mail: cs-journals@wiley.com; Web site: https://www.wiley.com/en-us
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01