The Study of Knowledge Exchange on Sociomatematical Norms: Dialogue Writing and Dramatization

Year 2021, Volume: 10 Issue: 3, 369 - 394, 31.12.2021

Arzu Aydoğan Yenmez Tuğba Çelik

Abstract

Sociomathematical norms are the explicit or implicit arrangements that affect participation in mathematics classes and the emerging interactive structure of mathematical practice. For effective instruction, the teacher should guide the creation and development of acceptable sociomathematical norms. Thus, pre-service teachers should be given experiences in teacher education programs that demonstrate how the nature of sociomathematical norms influences critical abilities such as mathematical understanding and problem solving. This study aims to look at how pre-service teachers' knowledge of sociomathematical norms changes over time. This knowledge exchange is investigated throughout the pre-service training process, which involves dialogue writing and dramatization activities based on sociomathematical norms and psychological principles. Sixty-eight pre-service teachers took part in this study, which used the case study method. A semi-structured interview, the pretest and posttest containing the sociomathematical norm-framed dialogue analysis, video recordings of class discussions, and the researchers' observation notes in the lectures where the applications were carried out were all employed as data collection tools. This study would contribute to the literature with its components, positive outputs and suggestions for future studies.

Keywords

teacher education, mathematics education, sociomathematical norms

References

• American Psychological Association (APA), Coalition for Psychology in Schools and Education. (2015). Top 20 principles from psychology for preK–12 teaching and learning. Retrieved from http://www.apa.org/ed/schools/teach- ing-learning/top-twenty-principles.aspx
• Bicchieri, C. (2006). The grammar of society: The- nature and dynamics of social norms. New York: Cambridge University Press.
• Cobb, P., & Bauersfeld, H. (Eds.). (1995). Emergence of mathematical meaning: Interaction in classroom cultures. Hillsdale, NJ: Erlbaum.
• Cobb, P., Jaworski, B., & Presmeg, N. (1996). Emergent and sociocultural views of math- ematical activity. In P. Nesher, L. P. Steffe, P. Cobb, G. Goldin, & B. Greer (Eds.), Theories of mathematical learning (pp. 3–20). Mahwah, NJ: Lawrence Erlbaum Associates, Inc.
• Cobb, P., Stephan, M., McClain, K.,& Gravemeijer, K. (2001). Participating in classroom mathematical practices. The Journal of the Learning Sciences, 10(1&2), 113–163.
• Cobb, P., & Yackel, E. (1996). Constructivist, emergent, and sociocultural perspectives in the context of developmental research. Educational Psychologist, 31(3&4), 175-190.
• Cobb, P., Yackel, E., & Wood, T. (1991). Curriculum and teacher development: Psychological and anthropological perspectives. In E. Fennema, T.P. Carpenter, & S.J. Lamon (Eds.), Integrating research on teaching and learning mathematics (pp. 83-120). Albany, NY: SUNY Press.
• Cohen, L. & Manion, L. (1994). Research Methods in Education (4th Ed.). Newyork: Rutledge.
• Creswell, J. W. (2009). Research design: Qualitative, quantitative, and mixed methods Approach. USA: Sage.
• Çelik, T. (2018). Dil ve Edebiyat Öğretimi. Anı Yayıncılık. Ankara. ISBN: 605170241-5.
• Firek, Hilve (2006). Creative Writing in the Social Studies Classroom: Promoting Literacy and Content Learning. Social Education. 70 (4). pp. 183-186. https://www.socialstudies.org/system/files/publications/articles/se_7004183.pdf
• Grenwille, K. (2001). Writing from Start to Finish- A Six Step Guide. Allen & Unvin. Australia. ISBN: 1 86508514 6.
• Gorgorió, N. & Planas, N. (2005). Reconstructing norms. In Chick, H. L., & Vincent, J. L. (Eds.). Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education, Vol. 3 (pp. 65-72). Melbourne: PME.
• Güven, N. D., & Dede, Y. (2017). Examining social and sociomathematical norms in different classroom microcultures: Mathematics teacher education perspective. Educational Sciences: Theory & Practice, 17(1).
• Hoffmann, R. & Kenneth, R. (2018). Operational, interpersonal, discussional and ideational dimensions of classroom norms for dialogic practice in school mathematics. British Educational Research Journal Vol. 44, No. 3, June 2018, pp. 496–514. DOI: 10.1002/berj.3444
• Hofmann, R., & Ruthven, K. (2018). Operational, interpersonal, discussional and ideational dimensions of classroom norms for dialogic practice in school mathematics. British Educational Research Journal, 44(3), 496–514.
• Kempton, G. (2004). Dialogue- Tecniques and exercises for crafting effective dialogue. ISBN: 978-1-58297-289-3. USA.
• Komisyon (2014). Öğretim İlke ve Yöntemleri. Anı Yayıncılık. Ankara. ISBN: 6055521397-4.
• Levenson, E., Tirosh, D., & Tsamir, P. (2009). Students’ perceived sociomathematical norms: The missing paradigm. The Journal of Mathematical Behavior, 28(2-3), 171-187.
• McClain, K. ve Cobb, P. (2001). An analysis of de- velopment of sociomathematical norms in one first-grade classroom. Journal for Research in Mathematics Education, 32(3), 236-266.
• Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook. sage.
• Milli Eğitim Bakanlığı. (2018). Matematik Dersi Öğretim Programı (İlkokul ve Ortaokul 1,2,3,4,5,6,7 ve 8. Sınıflar). Ankara: MEB Yayınları.
• Mottier Lopez, L.,& Allal, L. (2007). Sociomathematical norms and the regulation of problem solving in classroom microcultures. International Journal of Educational Research, 46, 252–265.
• O’toole, J. and Stinson (2009). M. Curriculum:The House that Jack Built. Drama and education. In J. O’Toole, M. Stinson, & T. Moore (Eds.), Drama and curriculum: A giant at the door ( pp. 29-43). New York: Springer.
• O’Toole and Stinson, J. (2009b) J. Drama and language. In J. O’Toole, M. Stinson, & T. Moore (Eds.), Drama and curriculum: A giant at the door (pp.49-69). New York: Springer
• Özmantar, M. F., Bingölbali, E., Demir, S., Sağlam, Y., & Keser, Z. (2009). Değişen öğretim programları ve sınıf içi normlar. Uluslararası İnsan Bilimleri Dergisi 6 (2), 1-23.
• Özyürek, L. (1983). Öğretim İlke ve Yöntemleri. Ankara Üniversitesi Eğitim Bilimleri Fakültesi Yayınları No: 124.
• Partanen, A. M., & Kaasila, R. (2015). Sociomathematical norms negotiated in the discussions of two small groups investigating calculus. International Journal of Science and Mathematics Education, 13(4), 927-946.
• Pascarella, F., Vicigrado, A.; Tateo, L. ; Marsico, G. (2021). Spontaneous Dramatization as Dialogical Space in the School Context, Springer International Publishing, 10.1007/s42087-021-00184-4
• Rasmussen, C. (1998). Reform in differential equations: A case study of students’ understandings and difficulties. Paper presented at the annual meeting of the American Educational Research Association, San Diego, CA, April.
• Ruurs, Margriet (2007). “He Said what?” Dialogue in story writing”. Reading Today, Jupiter Images Corporation. p.46 .https://ee1f3fed7c05d3cbaca88a88bf2b39f05b8aa66b.vetisonline.com/eds/pdfviewer/pdfviewer?vid=5&sid=df2f0bfb-41a6-4190-8046-841752105cc0%40sessionmgr101
• Sever, R; Yalçınkaya, E. ve Mazman, F. (2009). Sosyal Bilgiler Öğretiminde Etkili Bir Öğretim Yöntemi: Dramatizasyon. Atatürk Üniversitesi Sosyal Bilimler Enstitüsü Dergisi 2009 13 (1): 155-166.
• Smith, Hazel (2005) The Writing Experiment. Allen&Unvin. New York. https://doi.org/10.4324/9781003118244 . e-book ISBN: 9781003118244
• Stephan, M. (2020). Sociomathematical norms in mathematics education. In S. Lerman(ed.), Encyclopedia of mathematics education (pp. 802–805). New York: Springer.
• Toluk Uçar, Z. (2016). Matematik Eğitimde Teoriler. Sosyomatematiksel Normlar (Ed. Erhan Bingölbali, Selahattin Arslan, İsmail Özgür Zembat). Ankara: Pegem Akademi. s.605-625.
• Weigerif, R. (2005). Reason and Creativity in Classroom Dialogues. Language and Education. 19 (3). pp. 223-238.
• Wellington, J. (2000). Educational Research, Contemporary Issues And Practical Approaches. London: Continuum.
• Wood,T., Cobb,P., & Yackel, E. (1991). Change in teaching mathematics: A case study. American Educational Research Journal, 28, 587-616.
• Yackel, E. (2000, July). Creating a mathematics classroom environment that fosters the development of mathematical argumentation. In 9th International Congress Of Mathematical Education, Japan.
• Yackel, E. (2001). Explanations, justification and argumentation in mathematics classrooms. Proceedings of the 25th Conference of the International Groups for the Psychology of Mathematics Education (9-24). Utrecht.
• Yackel, E. & Cobb, P. (1996). Sociomathematical norms, argumentations and autonomy in mathematics. Journal for Research in Mathematics Education, 27, 458-477.
• Yackel, E., Cobb, P., & Wood, T. (1998). The interactive constitution of mathematical meaning in one second grade classroom: An illustrative example. Journal of Mathematical Behavior, 17(4), 469-488.
• Yackel, E., Rasmussen, C., &King, K. (2000). Social and sociomathematical norms in an advanced undergraduate mathematics course. Journal of Mathematical Behavior, 19, 275-287.
• Yücel Toy, B. (2015). Öğretmen Eğitiminde Dramatizasyon: Öğrenme Kuramlarının Öğretimi Üzerine Bir Çalışma. Uluslararası Eğitim Programları ve Öğretim Çalışmaları Dergisi, 5(9). ISSN: 2146-3638 / 2619-9068. pp. 49-62.