Characterizing Student Mathematics Teachers' Levels of Understanding in Spherical Geometry

Autor/inn/en	Guven, Bulent; Baki, Adnan
Titel	Characterizing Student Mathematics Teachers' Levels of Understanding in Spherical Geometry
Quelle	In: International Journal of Mathematical Education in Science and Technology, 41 (2010) 8, S.991-1013 (23 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
Schlagwörter	Geometric Concepts; Mathematics Teachers; Geometry; Knowledge Level; Ability Identification; Achievement Tests; Teacher Competency Testing; Cognitive Measurement; Cognitive Processes; Interviews; Student Teachers; Vertical Organization + Suchen Sie Ihr Suchwort? Elementare Geometrie; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Geometrie; Wissensbasis; Achievement test; Achievement; Testing; Test; Tests; Leistungsbeurteilung; Leistungsüberprüfung; Leistung; Testdurchführung; Testen; Cognitive process; Kognitiver Prozess; Interviewing; Interviewtechnik; Lehramtsstudent; Lehramtsstudentin; Referendar; Referendarin
Abstract	This article presents an exploratory study aimed at the identification of students' levels of understanding in spherical geometry as van Hiele did for Euclidean geometry. To do this, we developed and implemented a spherical geometry course for student mathematics teachers. Six structured, "task-based interviews" were held with eight student mathematics teachers at particular times through the course to determine the spherical geometry learning levels. After identifying the properties of spherical geometry levels, we developed "Understandings in Spherical Geometry Test" to test whether or not the levels form hierarchy, and 58 student mathematics teachers took the test. The outcomes seemed to support our theoretical perspective that there are some understanding levels in spherical geometry that progress through a hierarchical order as van Hiele levels in Euclidean geometry. (Contains 7 tables and 12 figures.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10