Mathematics Teachers' Experiences of Positive Error Climate


Özet Görüntüleme: 623 / PDF İndirme: 507

Yazarlar

  • Senem Kalaç Atatürk University
  • Merve Özkaya Atatürk University
  • Alper Cihan Konyalıoğlu Atatürk University

DOI:

https://doi.org/10.14689/enad.38.1832

Anahtar Kelimeler:

Positive error climate- MAXQDA- effective- permanent learning

Özet

In the qualitative case study in which the question, "What are teachers' views on the applicability of positive error climate in the classroom?" was sought to be answered, 19 mathematics teachers working in different provinces of Turkey, having more than five years of professional experience and receiving master's degree education constituted the study group. Before this study, teachers' attitudes and behaviors toward errors were taken in writing. At the end of the eleven-week implementation, the teachers' opinions about the implementation were obtained through interviews, and content analysis was applied to the data with MAXQDA. 2020. Under the theme of positive error climate experience, teachers evaluated the application as effective, fun, providing permanent learning and increasing self-confidence. On the other hand, they stated the negative aspects as insufficient time, difficulties in classroom management, and causing mislearning. Seventeen participants stated that they would use the error climate in their classrooms.

Referanslar

Akpınar, B., & Akdoğan, S. (2010). Negatif Bilgi Kavramı: Hata ve Başarısızlıklardan Öğrenme. Batı Anadolu eğitim Bilimleri Dergisi, 1 (1), 14-22.

Ames, C. (1992). Classrooms: Goals, structures, and student motivation. Journal of educational psychology, 84(3), 261. DOI: https://doi.org/10.1037//0022-0663.84.3.261

Ayers, M. S., & Reder, L. M. (1998). A theoretical review of the misinformation effect. Predictions from an activation-based memory model. Psychonomic Bulletin and Review, 5, 1–21. DOI: https://doi.org/10.3758/BF03209454

Barbieri C. A., & Booth J.L. (2020). Mistakes on display: Incorrect examples refine equation solving and algebraic feature knowledge. Applied Cognitive Psychology, 34(1), 862-878. https://doi.org/10.1002/acp.3663 DOI: https://doi.org/10.1002/acp.3663

Biggs, J. B., & Collis, K. F. (1982). Evaluating the quality of learning: The solo taxonomy, New York: Academic Press.

Borasi, R. (1988, April). Towards a reconceptualization of the role of errors in education: The need for new metaphors [Conference session]. Annual Meeting of the American Educational Research Association. https://eric.ed.gov/?id=ED295969

Borasi, R. (1989, March). Students’ constructive uses of mathematical errors: A taxonomy [Conference session]. Annual Meeting of the American Educational Research Association, https://eric.ed.gov/?id=ED309069

Borasi, R. (1994). Capitalizing on errors as "springboards for inquiry": A teaching experiment. Journal for Research in Mathematics Education, 25(21), 166-208. DOI: https://doi.org/10.5951/jresematheduc.25.2.0166

https://doi.org/10.59 51/jresematheduc.25.2.0166

Bray, W. S. (2011). A collective case study of the influence of teachers' beliefs and knowledge on error-handling practices during class discussion of mathematics. Journal for Research in MathematicsEducation,42(1),2-38. doi:10.5951/jresematheduc.42.1.0002 DOI: https://doi.org/10.5951/jresematheduc.42.1.0002

Clifford, M. M., & Chou, F.C. (1991). Effects of pay off and task context on academic risk taking. Journal of Educational Psychology, 83, 499-507. DOI: https://doi.org/10.1037//0022-0663.83.4.499

Creswell, J. W. (2015). Nitel araştırma yöntemleri: Beş yaklaşıma göre nitel araştırma ve araştırma deseni (3. Baskıdan Çeviri). (Çeviri Editörleri: M. Bütün ve S. B. Demir). Siyasal Yayın Dağıtım.

Dresel, M., Schober, B., Ziegler, A., Grassinger, R., & Steuer, G. (2013). Affektiv–motivational adaptive und handlungsadaptive Reaktionen auf Fehler im Lernprozess [Affective–motivational adaptivity and action adaptivity reactions to errors during learning]. Zeitschrift für Pädagogische Psychologie, 27, 255–271. doi:10.1024/1010-0652/a000111 DOI: https://doi.org/10.1024/1010-0652/a000111

Durkin, K., & Rittle-Johnson, B. (2012). The effectiveness of using incorrect examples to support learning about decimal magnitude. Learning and Instruction, 22(3), 206-214. DOI: https://doi.org/10.1016/j.learninstruc.2011.11.001

Ekiz, D. (2009). Bilimsel araştırma yöntemleri [Scientific research methods] (2nd ed.). Anı Yayıncılık.

Erdik, E. (2014). A comparative analysis of noticing of mathematics teachers with varying teaching experience [Master’s dissertation, Boğaziçi University]. YÖK National Thesis Center. https://tez.yok.gov.tr/UlusalTezMerkezi/tezSorguSonucYeni.jsp

Gökçek, T. (2009). Durum çalışması değerlendirmelerinin uygulaması. [Çeviri: The application of case study evaluations]. İlköğretim Online, 8(2), 1–3.

Heinze, A. (2005). Mistake-Handling Activities in the Mathematics Classroom. In H.L. Chick & J. L. Vincent (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, 105- 112). Melbourne (Australien): Melbourne University.

Heinze, A., & Reiss, K. (2007). Mistake-handling activities in the mathematics classroom: effects of an in-service teacher training on students’ performance in geometry. In J.-H. Woo, H.-C. Lew, K.-S. Park, & D.-Y. Seo (Eds.), Proceedings of the 31st Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 9–16). Seoul: PME.

Holmes, V., Miedema, C., & Haugen, N. (2013). Data-driven intervention: Correcting mathematics students’ misconceptions, not mistakes. Mathematics Educator, 23(1), 24–44.

Kalaç, S., & Özkaya., M (2021). Sınıf içi olumlu hata iklimi uygulamaları. In A. Kızılkaya Namlı (Ed.), Eğitimin kavramsal temelleri 4: Yöntem ve stratejiler (pp. 231-244). Efe Akademi.

Konyalıoğlu, A., Özakaya M. & Gedik, S.,(2019). Öğretmen ve öğretmen adayları için matematik öğretiminde hata temelli aktivitler. Ertual Akademi.

Marton, F., & Säljö, R. (1976). On qualitative differences in learning I: Outcome and process. British Journal of Educational Psychology, 46, 4–11. DOI: https://doi.org/10.1111/j.2044-8279.1976.tb02980.x

Metin, M. (Ed.) (2014). Kuramdan uygulamaya eğitimde bilimsel araştırma yöntemleri. Akademi Yayınları.

Meyer, D. K., & Turner, J. C. (2006). Re-conceptualizing emotion and motivation to learn in classroom contexts. Educational Psychology Review, 18, 377-390. DOI: https://doi.org/10.1007/s10648-006-9032-1

Miles, M. B., & Huberman, A. M. (2016). Nitel veri analizi (S. Akbaba-Altun & A. Ersoy, Çev. Ed.). Pegem Akademi.

National Council of Teachers of Mathematics [NCTM], (2000). Principles and standard for school mathematics. National Council of Teachers of Mathematics.

Oser, F., & Spychiger,M. (2005). Lernen ist schmerzhaft: Zur Theorie des Negativen Wissens und zur Praxis der Fehlerkultur [Learning is painful. On the theory of negative knowledge and the culture of mistakes in practice]. Weinheim: Beltz.

Özdemir Baki, G., Özkaya, M., & Konyalioğlu, A. C. (2022). Teachers' approaches to student errors in mathematics teaching and noticing of their approaches. Acta Didactica Napocensia, 15(2), 209 229, https://doi.org/10.24193/adn.15.2.14 DOI: https://doi.org/10.24193/adn.15.2.14

Özkaya M., & Konyalıoğlu A. (2019).Ortaokul Matematik Öğretmenlerinin Konu Alan Bilgilerinin Gelişiminde Hata Temelli Aktiviteler: Kesirlerle Toplama İşlemi. Bayburt Eğitim Fakültesi Dergisi, 14(27), 23-52. DOI: https://doi.org/10.35675/befdergi.475076

Özkaya, M., Kalaç, S., & Konyalıoğlu, A. C. (2022). The effect of positive error climate on affective domains in mathematics teaching. International Journal of Assessment Tools in Education, 9(Special Issue), 236-257. DOI: https://doi.org/10.21449/ijate.1121828

Palkki, R., & Hastö, P.(2018). Mathematics teachers’ reasons to use (or not) intentional Errors. DOI: 10.5485/TMCS.2018.0453 DOI: https://doi.org/10.5485/TMCS.2018.0453

Peng, A., & Luo, Z. (2009). A framework for examining mathematics teacher knowledge as used in error analysis. For the learning of mathematics, 29(3), 22-25.

Rach, S., Ufer, S., & Heinze, A. (2013). Learning from errors: effects of teachers’ training on students’ attitudes towards and their individual use of errors. PNA, 8(1), 21-30. DOI: https://doi.org/10.30827/pna.v8i1.6122

Rittle-Johnson, B., & Star, J.R. (2009). Compared with what? The effects of different comparisons on conceptual knowledge and procedural flexibility for equation solving. Journal of Educational Psychology, 101(3), 529–544. https://doi.org/10.1037/a0014224 DOI: https://doi.org/10.1037/a0014224

Rybowiak, V., Garst, H., Frese, M., & Batinic, B. (1999). Error orientation questionnaire (EOQ): Reliability, validity, and different language equivalence. Journal of Organizational Behavior: The International Journal of Industrial, Occupational and Organizational Psychology and Behavior, 20(4), 527-547. DOI: https://doi.org/10.1002/(SICI)1099-1379(199907)20:4<527::AID-JOB886>3.0.CO;2-G

Santagata, R. (2005). Practices and beliefs in mistake-handling activities: A video study of Italian and US mathematics lessons. Teaching and Teacher Education, 21, 491-508. doi:10.1016/j.tate.2005.03.004 DOI: https://doi.org/10.1016/j.tate.2005.03.004

Son, J. W. (2013). How preservice teachers interpret and respond to student errors: ratio and proportion in similar rectangles. Educational Studies in Mathematics, 84(1), 49–70. DOI: https://doi.org/10.1007/s10649-013-9475-5

Son, J. W., & Sinclair, N. (2010). How preservice teachers interpret and respond to student geometric errors. School Science and Mathematics, 110(1), 31–46. DOI: https://doi.org/10.1111/j.1949-8594.2009.00005.x

Spychiger, M., Kuster, R., & Oser, F. (2006). Dimensionen von Fehlerkultur in der Schule und ihre Messung. Der Schülerfragebogen zur Fehlerkultur im Unter- richt für Mittel- und Oberstufe [Dimensions of error culture at school and its measurement]. Revue suisse des sciences de l’éducation, 28, 87 110. DOI: https://doi.org/10.24452/sjer.28.1.4720

Star, J. R., & Strickland, S. K. (2008). Learning to observe: Using video to improve preservice mathematics teachers’ ability to notice. Journal of Mathematics Teacher Education, 11(2), 107-125. DOI: https://doi.org/10.1007/s10857-007-9063-7

Steuer, G., & Dresel, M. (2011). Dealing with errors in mathematics classrooms: The relevance of error climate and personal achievement motivation. In 91st annual meeting of the American Educational Research Association, New Orleans, LA.

Steuer, G., Rosentritt-Brunn, G., & Dresel, M. (2013). Dealing with errors in mathematics classrooms: Structure and relevance of perceived error climate. Contemporary Educational Psychology, 38, 196–210. https://doi.org/10.1016/j.cedpsych.2013.03.002. DOI: https://doi.org/10.1016/j.cedpsych.2013.03.002

Tulis, M. (2013). Error management behavior in classrooms: Teachers’ responses to students’ mistakes. Teaching and Teacher Education, 33, 56–68. doi:10.1016/j.tate.2013.02.003. DOI: https://doi.org/10.1016/j.tate.2013.02.003

Tulis, M., Grassinger, R., & Dresel, M. (2011). Adaptiver Umgang mit Fehlern als Aspekt der Lernmotivation und des Selbstregulierten Lernens von Overachievern [Adaptive handling of errors as an aspect of learning motivation and self-regulated learning of overachievers]. In M. Dresel & L. Lämmle (Eds.), Motivation, Selbstregulation und Leistungsexzellenz [Motivation, self-regulation and achievement excellence] (pp. 29–51). Münster, Germany: LIT.

Tulis, M., Steuer, G., & Dresel, M. (2016). Learning from Errors: A Model of Individual Processes. Frontline Learning Research, 4(2), 12-26. DOI: https://doi.org/10.14786/flr.v4i2.168

Tulis, M., Steuer, G., & Dresel, M. (2018). Positive beliefs about errors as an important element of adaptive individual dealing with errors during academic learning. Educational Psychology, 38(2), 139 158. DOI: https://doi.org/10.1080/01443410.2017.1384536

Türkdoğan A., & Baki A., (2012).İlkoğretim İkinci Kademe Matematik Öğretmenlerinin Yanlışlara Dönüt Vermede Kullandıkları Dönüt Teknikleri. Ankara Üniversitesi Eğitim Bilimleri Fakültesi Dergisi,45(2), 157-182.

Turner, J. C., & Meyer, D. K. (1999). Integrating classroom context into motivation theory and research: Rationales, methods, and implications. Advances in motivation and achievement, 11, 87-121.

Urdan, T., & Schoenfelder, E. (2006). Classroom effects on student motivation: Goal structures, social relationships, and competence beliefs. Journal of School Psychology, 44(5), 331-349. DOI: https://doi.org/10.1016/j.jsp.2006.04.003

Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2015). Elementary and middle school mathematics: Teaching developmentally. Pearson.

Van Dyck, C., Frese, M., Baer, M., & Sonnentag, S. (2005). Organizational error management culture and its impact on performance: A two-study replication. Journal of Applied Psychology, 90, 1228 1240. DOI: https://doi.org/10.1037/0021-9010.90.6.1228

Yıldırım, A., & Şimşek, H. (2016). Sosyal bilimlerde nitel araştırma yöntemleri. Seçkin Yayıncılık.

Yıldırım, İ. (2019). The effect of erroneous solution method on the achievement of some istatistical concepts of 7th grade students [Master’s dissertation, Adiyaman University]. YÖK National Thesis Center. https://tez.yok.gov.tr/UlusalTezMerkezi/tezSorguSonucY eni.jsp

Yayınlanmış

2024-04-30

Nasıl Atıf Yapılır

Kalaç, S., Özkaya, M., & Konyalıoğlu, A. C. (2024). Mathematics Teachers’ Experiences of Positive Error Climate. Eğitimde Nitel Araştırmalar Dergisi, (38), 1–23. https://doi.org/10.14689/enad.38.1832