Published
October 1, 2023
| Pages: 17-30 | Views: 213

###
References

- Akkan, Öztürk & Akkan (2017) Generalization Processes of Elementary Mathematics Teacher Candidates: Strategies and Justifications. Turkish Journal of Computer and Mathematics Education .8(3),513-550.
- Akkuş, R. (2019). Change in the level of justification in problem solving over time.Kastamonu Education Journal, 27(4), 1481-1494. doi:10.24106/ kefdergi.3050
- Albayrak Bahtiyari, Ö. (2010). Awareness of proof and reasoning concepts and their importance in 8th grade mathematics teaching. (Unpublished Master Thesis). Ataturk University, Erzurum.
- Alex, J. K. & Mammen, K. J. (2012). A survey of South African grade 10 learners’ geometric thinking levels in terms of the van Hiele theory. Anthropologist, 14(2), 123-129.
- Arslan, Ç. (2007). Development of reasoning and proof thinking in primary school students. (Unpublished Doctoral Thesis), Uludağ University, Bursa.
- Battista, M.T. (2007). The Development of Geometric and Spatial Thinking, (Editör: F. K. Lester Jr.), Second Handbook of Research on Mathematics Teaching and Learning. National Council of Teachers of Mathematics. 1, 843-908
- Bayazıt, İ. (2017). Examining the importance of proof and teacher competencies in proof. International Periodical for the Languages, Literature and History of Turkish or Turkic, 12(14), 19-40.
- Bell, A. W. (1976). A Study of Pupil’s Proof Explanations in Mathematical Situations. Educational Studies in Mathematics 7(1), 23–40.
- Driscoll, M., Wing DiMatteo, R., Nikula, J., & Egan, M. (2007). Fostering Geometric Thinking: A Guide for Teachers, Grades 5-10. Porsmouth, NH: Heinemann.
- Ellis, A. B. (2007). Connections between generalizing and justifying: Students’ reasoning with linear relationships. Journal for Research in Mathematics Education, 38(3), 194–229.
- Hadas, N., Hershkowitz, R., & Schwarz B. B. (2000). The role of contradiction and uncertainty in promoting the need to prove in dynamic geometry environments. Educational Studies in Mathematics, 44, 127-150.
- Harel, G., & Sowder, L. (1998). Students’ proof schemes: Results from exploratory studies. In A. Schoenfeld, J. Kaput & E. Dubinsky (Eds.), Research in collegiate mathematics education III (pp. 234–283). Providence, RI: American Mathematical Society.
- Lannin, J. K. (2005) Generalization and Justification: The Challenge of Introducing Algebraic Reasoning Through Patterning Activities, Mathematical Thinking and Learning, 7:3, 231-258, DOI: 10.1207/s15327833mtl0703_3
- Marrades R. & Gutierrez A. (2000). Proofs produced by secondary school students learning geometry in a dynamic computer environment. Educational Studies in Mathematics 44, 87–125. Netherlands, Kluwer Academic Publishers.
- Milli Eğitim bakanlığı [MEB] (2020). Elementary mathematics lesson 6-8th grades curriculum. Ankara: MEB.
- Milli Eğitim bakanlığı [MEB] (2014). Elementary Mathematics 7 Textbook. Ozyurt Printing. Ankara.
- Miles, M. B. & Huberman, A. M. (1994). Qualitative Data Analysis: An Expanded Sourcebook, Sage.
- National Council of Teachers of Mathematics NCTM (1989). Principles and standards for school mathematics, Reston/VA: National council of Teachers of Mathematics.
- Polat, M. (2015). Examination of the Tasks Requiring Explanation and Justification in the Elementary 7th Grade Mathematics Courses and Workbooks by Learning Areas. (Unpublished Master's Thesis). Gaziantep University Institute of Educational Sciences.
- Radford, L. (1996). Some reflections on teaching algebra through generalization. In L. Lee (Ed.), Approaches to algebra: Perspectives for research and teaching (pp. 107–111). Dordrecht, The Netherlands: Kluwer.
- Tanışlı, D., Yavuzsoy Köse, N., & Camci, F. (2017). M Generalization and verification knowledge of prospective mathematics teachers in the context of patterns Journal of Qualitative Research in Education, 5(3), 195-222.
- Özmusul, B. (2018). Examination of secondary school 7th grade students' levels of mathematical justification skills. (Unpublished Master Thesis), Gaziantep University, Gaziantep.
- Ross, K. (1998). Doing and proving: The place of algorithms and proof in school mathematics. American Mathematical Monthly, 3, 252-255.
- Yackel, E. (2001). Explanation, Justification and Argumentation in Mathematic Classrooms. Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (12-17 july, 2001). 1(4), Utrecht, Netherlands.
- Yıldırım, A., & Şimşek, H. (2016). Qualitative research methods in social sciences (10th ed.). Ankara: Seçkin Publishing.
- Zaimoğlu, Ş. (2012). Geometric proof processes and tendencies of 8th grade students. (Unpublished Master's Thesis), Kastamonu University Institute of Science and Technology, Kastamonu.

###
Keywords

Proof, justification skills, mathematics education

### Affiliations

Handan Demircioğlu

referee

###
Downloads

Download data is not yet available.