Research Article

PRESERVICE MIDDLE SCHOOL MATHEMATICS TEACHERS’ CONCEPTION OF AUXILIARY ELEMENTS OF TRIANGLES

Volume: 6 August 4, 2017
EN

PRESERVICE MIDDLE SCHOOL MATHEMATICS TEACHERS’ CONCEPTION OF AUXILIARY ELEMENTS OF TRIANGLES

Abstract

In the literature, there have been research examining different grade levels of students’ understanding of geometric shapes such as triangles and their main elements as well as their auxiliary elements. The purpose of the current study is to investigate preservice middle school mathematics teachers’ (PMSMT) conception of auxiliary elements of triangles. In order to achieve this, the activity sheets about definitions, constructions, and properties of auxiliary elements of triangles were designed and conducted to 23 junior PMSMT. The PMSMT engaged in these activity sheets. The data were collected through their written works and it was analyzed based on the content analysis which is a type of qualitative data analysis technique. It was found that, the PMSMT could effectively define auxiliary elements of triangles. However, they had difficulty in the properties and related theorems about auxiliary elements.

Keywords

References

  1. 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 Unpublished master’s thesis.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 Unpublished doctoral dissertation.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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Didem Akyuz This is me

Publication Date

August 4, 2017

Submission Date

August 4, 2017

Acceptance Date

-

Published in Issue

Year 2017 Volume: 6

APA
Uygun, T., & Akyuz, D. (2017). PRESERVICE MIDDLE SCHOOL MATHEMATICS TEACHERS’ CONCEPTION OF AUXILIARY ELEMENTS OF TRIANGLES. The Eurasia Proceedings of Educational and Social Sciences, 6, 68-72. https://izlik.org/JA63FG42JY
AMA
1.Uygun T, Akyuz D. PRESERVICE MIDDLE SCHOOL MATHEMATICS TEACHERS’ CONCEPTION OF AUXILIARY ELEMENTS OF TRIANGLES. EPESS. 2017;6:68-72. https://izlik.org/JA63FG42JY
Chicago
Uygun, Tugba, and Didem Akyuz. 2017. “PRESERVICE MIDDLE SCHOOL MATHEMATICS TEACHERS’ CONCEPTION OF AUXILIARY ELEMENTS OF TRIANGLES”. The Eurasia Proceedings of Educational and Social Sciences 6 (August): 68-72. https://izlik.org/JA63FG42JY.
EndNote
Uygun T, Akyuz D (August 1, 2017) PRESERVICE MIDDLE SCHOOL MATHEMATICS TEACHERS’ CONCEPTION OF AUXILIARY ELEMENTS OF TRIANGLES. The Eurasia Proceedings of Educational and Social Sciences 6 68–72.
IEEE
[1]T. Uygun and D. Akyuz, “PRESERVICE MIDDLE SCHOOL MATHEMATICS TEACHERS’ CONCEPTION OF AUXILIARY ELEMENTS OF TRIANGLES”, EPESS, vol. 6, pp. 68–72, Aug. 2017, [Online]. Available: https://izlik.org/JA63FG42JY
ISNAD
Uygun, Tugba - Akyuz, Didem. “PRESERVICE MIDDLE SCHOOL MATHEMATICS TEACHERS’ CONCEPTION OF AUXILIARY ELEMENTS OF TRIANGLES”. The Eurasia Proceedings of Educational and Social Sciences 6 (August 1, 2017): 68-72. https://izlik.org/JA63FG42JY.
JAMA
1.Uygun T, Akyuz D. PRESERVICE MIDDLE SCHOOL MATHEMATICS TEACHERS’ CONCEPTION OF AUXILIARY ELEMENTS OF TRIANGLES. EPESS. 2017;6:68–72.
MLA
Uygun, Tugba, and Didem Akyuz. “PRESERVICE MIDDLE SCHOOL MATHEMATICS TEACHERS’ CONCEPTION OF AUXILIARY ELEMENTS OF TRIANGLES”. The Eurasia Proceedings of Educational and Social Sciences, vol. 6, Aug. 2017, pp. 68-72, https://izlik.org/JA63FG42JY.
Vancouver
1.Tugba Uygun, Didem Akyuz. PRESERVICE MIDDLE SCHOOL MATHEMATICS TEACHERS’ CONCEPTION OF AUXILIARY ELEMENTS OF TRIANGLES. EPESS [Internet]. 2017 Aug. 1;6:68-72. Available from: https://izlik.org/JA63FG42JY