Full Length Research Paper
References
|
Almeida D (2000). A survey of mathematics undergraduates' interaction with proof: some implications form mathematics education. International Journal of Mathematical Education in Science and Technology 31(6):869-890. |
|
|
Altun M (2013). Mathematics teaching in secondary schools (6th, 7th, 8th grades). Bursa: Aktüel Alfa Akademi Publications. |
|
|
Ayd?n N, Halat E (2009). The Impacts of Undergraduate Mathemat?cs Courses on College Students' Geometr?c Reason?ng Stages. The Montana Mathematics Enthusiast 4(2):151-164. |
|
|
Baykul Y, A?kar P (1987). Problem and problem solving, Mathematics teaching. Open Education Faculty Publications. |
|
|
Büyüköztürk ?, K?l?ç Çakmak E, Akgün ÖE, Karadeniz ?, Demirel F (2019). Scientific research methods in education. Pegem Academy. |
|
|
Dreyfus T (1999). Why Johnny can't prove. Educational Studies in Mathematics 38:85-109. |
|
|
Duatepe A (2000). An ?nvestigation On the Relationship Between Van Hiele Geometric Level of Thinking And Demographic Variables For Preservice Elementary School Teachers. Master's Thesis, Middle East Technical University. |
|
|
Ferrini-Mundy J, Senk S (2006). Knowledge of algebra for teaching: Framework, item development and pilot results. Research symposium at the research presession of NCTM annual meeting. St. Louis, MO. |
|
|
Genç M, Karata? ? (2018). Integrating History of Mathematics into Mathematics Teaching: Al-Khwarizmi's Completing The Square Method. Kastamonu Education Journal 26(1):219-230. |
|
|
Gibson D (1998). Students' use of diagrams to develop proofs in an introductory analysis course. In A. H. Schoenfeld J, Kaput, E. Dubinsky (Eds.), Research in collegiate mathematics education. Ill (pp. 284-307). Providence, RI: American Mathematical Society. |
|
|
Goetting M (1995). The college students' understanding of mathematical proof. Unpublished Doctoral Dissertation. Available from ProQuest Dissertations and Theses database. |
|
|
González A, Manero V, Arnal-Bailera A, Puertas ML (2022). Proof levels of graph theory students under the lens of the Van Hiele model. International Journal of Mathematical Education in Science and Technology 1-19. |
|
|
Gutierrez A, Jaime A (1998). On the assessment of the Van Hiele levels of reasoning. Focus on Learning Problems in Mathematics 20(2/3):27-46. |
|
|
Harel G, Sowder L (1998). Students' proof schemes: Results from exploratory studies. American Mathematical Society 7:234-283. |
|
|
Harel G, Sowder L (2007). Toward comprehensive perspectives on the learning and teaching of proof. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning. Reston, VA: National Council of Teachers of Mathematics, pp. 805-842. |
|
|
Heinze A, Reiss KM (2003). Reasoning and proof: Methodological knowledge as a component of proof competence. In: M. A. Mariotti (Ed.), European Research in Mathematics Education III: Proceedings of the Third Conference of the European Society for Research in Mathematics Education (pp. 1-10). Bellaria, Italy: University of Pisa and ERME. |
|
|
Hemmi K (2010). Three styles characterising mathematicians' pedagogical perspectives on proof. Educational Studies in Mathematics 75:271-291. |
|
|
Herbst PG (2002). Engaging students in proving: A double bind on the teacher. Journal for research in mathematics education 33(3):176-203. |
|
|
Isoda M, Katagiri S (2012). Mathematics thinking: How to develop it in the classroom. Singapore: World Scientific Publishing. |
|
|
Jones K (2000). The Student Experience of Mathematical Proof at University Level. International Journal of Mathematical Education in Science and Technology 31(1):53-60. |
|
|
Ko YY, Knuth E (2009). Undergraduate mathematics majors' writing performance producing proof sand counter examples about continuous functions. The Journal of Mathematical Behavior 28(1):68-77. |
|
|
Lamb S, Maire Q, Doecke E (2017). Key skills for the 21st Century: an evidence-based review. Report prepared for the State of New South Wales (Department of Education) Sydney. Retrieved from: |
|
|
Mason J, Burton L, Stacey K (1985). Thinking mathematically. Revised Edition. England: Addison-Wesley Publishers, Wokingham. |
|
|
Ministry of Education [MoNE] (2018). Teaching mathematics (1, 2, 3, 4, 5, 6, 7 and 8th grades) program. Ankara: Ministry of National Education, Board of Education. |
|
|
Moore RC (1994). Making the transition to formal proof. Educational Studies in Mathematics 27:249-266. |
|
|
Olkun S, Toluk Z (2003) Activity-based mathematics teaching in primary education. Ankara: An? Publishing. |
|
|
Ozan-Leylum ?, Odaba?? HF, Kabakç? YI (2017). The Importance of Case Study Research in Educational Settings, Journal of Qualitative Research in Education 5(3):369-385. |
|
|
Özdemir E, OvezDikkart?n FT (2012). A research on proof perceptions and attitudes towards proof and proving: some implications for elementary mathematics prospective teachers. Procedia-Social and Behavioral Sciences 46:2121-2125. |
|
|
Riley KJ (2003). An investigate of prospective secondary mathematics teachers' conceptions of proof and refutations. Unpublished Doctoral Dissertation, Available from ProQuest Dissertation and Theses database. |
|
|
Ross KA (1998). Doing and proving: The place of algorithms and proofs in school mathematics. The American Mathematical Monthly 105(3):252-255. |
|
|
Senk SL (1989). Van Hiele levels and achievement in writing geometry proofs. Journal for Research in Mathematics Education 20(3):309-321. |
|
|
Stylianides GJ, Stylianides AJ, Philippou GN (2004). Undergraduate students' understanding of the contraposition equivalence rule in symbolic and verbal contexts. Educational Studies in Mathematics 55:133-162. |
|
|
Stylianides GJ, Stylianides AJ, Philippou GN (2007). Preservice teachers' knowledge of proof by mathematical induction. Journal of Mathematics Teacher Education 10:145-166. |
|
|
Tall D (1991). Advanced mathematical thinking. USA: Kluwer Academic Publishers. |
|
|
Thomas M, Klymchuk S (2012). The school-tertiary interface in mathematics: Teaching style and assessment practice. Mathematical Education Research Journal 24:283-300. |
|
|
Van Oers B (2010). Emergent mathematical thinking in the context of play. Educational Studies In Mathematics 74:23-37. |
|
|
Usiskin Z(1982). Van Hiele Levels and achievement in secondary school geometry. CDASSG Project, University of Chicago. |
|
|
Van Hiele PM (1986). Structure and insight: a theory of mathematics education. Academic Pres. Inc. Orlando, Florida. |
|
|
Weber K (2001). Student Difficulty in Constructing Proofs: The Need for Strategic Knowledge. Educational Studies in Mathematics 48:101-119. |
|
|
Weber K (2004). A Framework for Describing the Processes that Undergraduates Use to Construct Proofs. In: M. J. Hoines and AB. Fuglestad (Eds.) International Group for the Psychology of Mathematics Education 28th, Bergen Norway 14-18. |
|
|
Y?ld?r?m C (2014). Mathematical thinking Istanbul: Remzi Publications. Y?ld?r?m A, ?im?ek H (2011). Qualitative Research Methods In Social Sciences (8th Edition). Ankara: Seçkin Publishing. |
|
|
Yin RK (2014). Case study research: design and methods (5th edition). SAGE Publications. |
|
Copyright © 2024 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0
