TY - JOUR TT - PRESERVICE MIDDLE SCHOOL MATHEMATICS TEACHERS’ CONCEPTION OF AUXILIARY ELEMENTS OF TRIANGLES AU - Uygun, Tugba AU - Akyuz, Didem PY - 2017 DA - August JF - The Eurasia Proceedings of Educational and Social Sciences JO - EPESS PB - ISRES Publishing WT - DergiPark SN - 2587-1730 SP - 68 EP - 72 VL - 6 KW - Auxiliary elements KW - conception KW - triangles N2 - Inthe literature, there have been research examining different grade levels ofstudents’ understanding of geometric shapes such as triangles and their mainelements as well as their auxiliary elements. The purpose of the current studyis to investigate preservice middle school mathematics teachers’ (PMSMT)conception of auxiliary elements of triangles. In order to achieve this, theactivity sheets about definitions, constructions, and properties of auxiliaryelements of triangles were designed and conducted to 23 junior PMSMT. The PMSMTengaged in these activity sheets. The data were collected through their writtenworks and it was analyzed based on the content analysis which is a type ofqualitative data analysis technique. It was found that, the PMSMT couldeffectively define auxiliary elements of triangles. However, they haddifficulty in the properties and related theorems about auxiliary elements. CR - Alatorre, S., & Saiz, M. (2009). Teachers and triangles. Proceedings of Congress of Educational Research in Mathematics Education. 28 January- 1 February, Lyon; France. Cherowitzo, B. (2006). Geometric constructions. [Online] Retrieved on 18-August-2012., at URL http://www-math.cudenver.edu/~wcherowi/courses/m3210/lecchap5.pdf. Cheung, L. H. (2011). Enhancing students’ ability and interest in geometry learning through geometric constructions. Unpublished master’s thesis. The University of Hong Kong, China. Creswell, J. W. (2012). Educational research: planning, conducting, and evaluating quantitative and qualitative research (4th ed.). Thousand Oaks, CA: SAGE Publications. Damarin, S. K. (1981). What makes a triangle? Arithmetic Teacher. 22(1), 39-41. Erduran, A. & Yeşildere, S. (2010). The use of a compass and straightedge to construct geometric structures. Elementary Education Online, 9(1), 331–345. Gutierrez, A. & Jaime, A. (1999). Pre-service primary teachers’ understanding of the concept of altitude of a triangle. Journal of Mathematics Teacher of Education, 2(3), 253-275. Han, H. (2007). Middle school students’ quadrilateral learning: a comparison study. Unpublished doctoral dissertation. University of Minnesota, Minnessota, USA. Henningsen, M., & Stein, M. K. (1997). Mathematical tasks and student cognition: Classroom-based factors that support and inhibit high-level mathematical thinking and reasoning. Journal for Research in Mathematics Education, 28(5), 534-549. Hoffer, A. (1981). Geometry more than proof. Mathematics Teacher, 74(1), 11-18. Merriam, S.B. (2009). Qualitative research: a guide to design and implementation. San Francisco: Jossey-Bass. Napitupulu, B. (2001). An exploration of students’ understanding and van hiele levels of thinking on geometric constructions. Unpublished master’s thesis, Simon Fraser University, Indonesia. Olkun, S. & Toluk, Z. (2004). Teacher questioning with an appropriate manipulative may make a big difference. IUMPST: The Journal, 2, 1-11. Uygun, T. (2016). Preservice middle school mathematics teachers’ understanding of altitudes of triangles. Uluslararası Çağdaş Eğitim Araştırmaları Kongresi, 29 Eylül- 2 Ekim, Muğla, Türkiye. Vinner, S., & Hershkowltz, R. (1980). Concept images and common cognitive paths in the development of some simple geometrical concepts. In Karplus (Ed.), Proceedings of the Psychology of mathematics education (pp. 177-184). PME. Wang, S. (2011). The van Hiele theory through the discursive lens: prospective teachers’ geometric discourses. Unpublished doctoral dissertation. Michigan State University, Michigan; ABD. UR - https://dergipark.org.tr/en/pub/epess/issue//332645 L1 - https://dergipark.org.tr/en/download/article-file/331825 ER -