### Investigating Prospective Middle School Mathematics Teachers’ Knowledge of Angle

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Adams, T.L. (2003). Reading mathematics: More than words can say. The Reading Teacher, 56, 786-795. doi: 10.2307/20205297

Aiken, L.R. (1972). Language factors in learning mathematics. Review of Educational Research, 42, 359-385. doi: 10.3102/00346543042003359

Arshavsky, N. & Goldenberg, E.P. (2005). Perceptions of a quadrilateral in a dynamic environment. In D. Carraher, R. Nemirovksy, & A. Schliemann (Eds.) Journal for Research in Mathematics Education Monograph XIII: Medium and meaning: Video papers in mathematics education research. Reston, VA: National Council of Teachers of Mathematics.

Austin, J.L. & Howson, A. G. (1979). Language and mathematical education. Educational Studies in Mathematics, 10, 161-197. doi: 10.1007/BF00230986

Aydın, İ. ve Peken, M. (2009). Ortaöğretim geometri 1 ders kitabı. Ankara: Farklı Yayınevi.

Bahar, M., Ozel, M., Prokop, P., & Usak, M. (2008). Science student teachers’ ideas of the heart. Journal of Baltic Science Education, 7, 78-86. 8 Ocak 2015 tarihinde http://www.zoo.sav.sk/prokop/articles/Bahar-Ozel-Prokop-Usak08-JBSE.pdf adresinden erişildi.

Bakeman, R., & Gottman, J. M. (1997) Observing interaction: Introduction to sequential analysis (2nd ed.), Cambridge: Cambridge University Press.

Bozkurt, A., & Koç, Y. (2012). Investigating first year elementary mathematics teacher education students’ knowledge of prism. Educational Sciences: Theory & Practice, 12, 2949-2952.

Brown, C.A., & Borko, H. (1992). Becoming a mathematics teacher. In D.A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 209–239). New York: Macmillan.

Burger, E.B, Chard, D.J, Hall, E.J, Kennedy, P.A., Leinward, S.J., Renfro, F.L., Roby, T.W, Seymour, D.G., & Waits, B.K. (2008). California Geometry. Austin: A Harcourt Education Company

Byrne, J.R. (1970). Modern elementary geometry. NY: McGraw Hill.

Cunningham, R. F., & Roberts, A. (2010). Reducing the mismatch of geometry concept definitions and concept images held by pre-service teachers. IUMPST: The Journal, 1 (Content Knowledge). 8 Ocak 2015 tarihinde www.k12prep.math.ttu.edu adresinden erişildi.

Çetin, Ö.F. ve Dane, A. (2004). Sınıf öğretmenliği 3. sınıf öğrencilerinin geometrik bilgilere erişi düzeyleri üzerine. Kastamonu Eğitim Dergisi, 12, 427-436.

Dane, A., ve Başkurt, H. (2011). İlköğretim 6, 7 ve 8. sınıf öğrencilerinin doğru parçası, doğrusallık, ışın ve açı kavramlarını algılama düzeyleri. Erzincan Üniversitesi Eğitim Fakültesi Dergisi, 13, 85-104.

Dubs, H.H.(1943). Definition and its problems. The Philosophical Review, 52, 566-577.

Edwards, B. S. & Ward, M. B. (2004). Surprises from mathematics education research : Student (mis)use of mathematical definitions. The American Mathematical Monthly, 111, 411-424.

Erdoğan, A., Bozkurt A., Ak S. ve Gürsul F. (2007). İlköğretim matematik 6 ders kitabı. Ankara: Pasifik Yayınları.

Govender, R., & De Villiers, M. (2003). Constructive evaluation of definitions in a dynamic geometry context. Journal of the Korea Society of Mathematical Education Series D: Research in Mathematical Education, 7, 41-58. 8 Ocak 2015 tarihinde http://www.mathnet.or.kr/mathnet/kms_tex/980829.pdf adresinden erişildi.

Gray, E. M., Pinto, M., Pitta, D., & Tall, D. (1999). Knowledge construction and diverging thinking in elementary & advanced mathematics. Educational Studies in Mathematics, 38, 111-133. doi: 10.1023/A:1003640204118

Herbst, P., Gonzalez, G., & Macke, M. (2005). How can geometry students understand what it means to define in mathematics? The Mathematics Educator, 15, 17-24. 8 Ocak 2015 tarihinde http://files.eric.ed.gov/fulltext/EJ845849.pdf adresinden erişildi.

Hiebert, J., & Lefevre, P. (1986). Conceptual and procedural knowledge: The case of mathematics. New Jersey: Lawrance Erlbaum.

Hill, H. C., Rowan, B., & Ball, D. L. (2005). Effects of teachers’ mathematical knowledge for teaching on student achievement. American Educational Research Journal, 42, 371-406. doi: 10.3102/00028312042002371

Kaptan, S. (1993). Bilimsel araştırma ve istatistik teknikleri. Ankara: Tekışık yayınları.

Kieran, C. (1986a). Logo and the notion of angle among fourth and sixth grade children. In L. Burton, & C. Hoyles (Eds.) Proceedings of Psychology in Mathematics Education 10 (s. 99-104). London: City University.

MEB (2009). 9. sınıf geometri ders kitabı. Ankara: MEB.

Miles, B., M., & Huberman, A. M. (1994). Qualitative data analysis (2nd ed.). London: Sage.

Mitchelmore, M. C., & White, P. (2000). Development of angle concepts by progressive abstraction and generalisation. Educational Studies in Mathematics, 41(3), 209-238. doi: 10.1023/A:1003927811079

Poincare, H. (2001). Mathematical definitions and education. In S. J. Gould (Ed.) The value of science: essential writing of Henri Poincare (s. 441-459). New York: Modern Library of Science.

Robson, C. (1993). Real world research. Oxford: Blackwell Publishers.

Strauss, A.L. & Corbin, J. (1990). Basics of a qualitative research: Grounded theory precedures and techniques. Newbury Park, CA: Sage.

Tunç, M.P., & Durmuş, S. (2012). Pre-service elementary school classroom and mathematics teachers’ interpretations about the definition of angle concept. Energy Education Science and Technology Part B: Social and Educational Studies, 4, 131-140.

Vinner, S. (1991). The role of definitions in the teaching and learning mathematics. In D. O. Tall (Ed.), Advanced mathematical thinking (pp. 65-81). Dordrecht: Kluwer.

Wren, L. (1973). Basic mathematical concepts. NY: McGraw Hill, Inc.

Yazgan, G., Argün, Z. ve Emre, E. (2009). Teacher sceneries related to “angle concept”: Turkey case. Procedia-Social and Behavioral Sciences, 1, 285-290.

Yeşildere, S. (2003). İlköğretim matematik öğretmen adaylarının matematiksel alan dilini kullanma yeterlikleri. Boğaziçi Üniversitesi Eğitim Dergisi, 24(2), 61-70.

Young, J.A., & Bush, G.A. (1971). Geometry for elementary teachers. London: Holden-Day.

Zaslavsky, O., & Shir, K. (2005). Students' conceptions of a mathematical definition. Journal for Research in Mathematics Education, 36, 317-346.

Zembat, (2013). Matematiksel Analizi ile Ölçme Kavramı ve Uzunluk, Alan ve Hacim Nitelikleri, İçinde Editörler I.O.Zembat, M.F.Özmantar, E.Bingölbali, H.Şandır, A.Delice, Tanımları ve Tarihsel Gelişimleriyle Matematiksel Kavramlar, pp. 519-528, 2013, Ankara: Pegem yayıncılık.

DOI: https://doi.org/10.24106/kefdergi.807

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