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MATEMATİK ÖĞRETMENLERİNİN MATEMATİĞE İLİŞKİN İNANÇLARININ İNCELENMESİ

Year 2024, Volume: 5 Issue: 9, 131 - 147, 31.12.2024
https://doi.org/10.62356/cihansumul.1553415

Abstract

Bu çalışma, matematik öğretmenlerinin matematiğin doğası, öğretimi ve öğrenimine ilişkin inançlarını çeşitli değişkenler açısından incelemeyi amaçlamaktadır. Öğretmenlerin inançlarının belirlenmesi, gelecekteki öğretim yöntemlerini etkileyeceği için önemlidir. Araştırma, öğretmenlerin inançlarının öğretim süreçlerindeki uygulamalarını nasıl etkilediğini ve bu inançların farklı değişkenlerle nasıl etkileşimde bulunduğunu ortaya çıkarmayı hedeflemektedir. Çalışmada, Millî Eğitim Bakanlığı'na bağlı özel bir okulun Türkiye geneli tüm kampüslerinde ilköğretim ve ortaöğretim kademelerinde görev yapan 160 matematik öğretmeni örneklem olarak seçilmiştir. Veri toplama aracı olarak Matematik ile İlgili İnanç Ölçeği (MRBS) kullanılmıştır. Ölçek, yapılandırmacı ve geleneksel inançları ölçen iki alt boyuttan oluşmaktadır. Araştırma sonuçları, öğretmenlerin matematik inançlarının çeşitli demografik ve mesleki faktörlerle ilişkili olduğunu göstermiştir. Cinsiyet, yaş, eğitim düzeyi, gelir durumu, görev yapılan kademe, mesleki deneyim süresi, sertifika varlığı ve sayısı gibi değişkenlerin öğretmenlerin inançları üzerindeki etkileri incelenmiştir. Özellikle, kadın öğretmenlerin erkeklere göre daha yüksek matematik ile ilgili inançlara sahip olduğu, ilkokul kademesinde görev yapan öğretmenlerin ortaokul kademesinde görev yapanlara göre daha yüksek yapılandırmacı inançlara sahip olduğu belirlenmiştir. Çalışma, öğretmenlerin geleneksel inançlarının orta düzeyde, yapılandırmacı inançlarının ise yüksek düzeyde olduğunu ortaya koymuştur. Ayrıca, öğretmenlerin yaşları ile geleneksel inançları arasında negatif yönlü bir ilişki tespit edilmiştir. Bu bulgular, öğretmen yetiştirme programlarının geliştirilmesinde ve matematik eğitiminin iyileştirilmesinde önemli katkılar sunabilecek niteliktedir.

References

  • Abelson, R. P. (1979). Differences between belief and knowledge systems. Cognitive science, 3(4), 355-366.
  • Altunışık. R., Coşkun. R., Bayraktaroğlu. S., & Yıldırım. E. (2012). Sosyal bilimlerde araştırma yöntemleri, (7. Baskı). Sakarya Yayıncılık: İstanbul, Türkiye.
  • Ambrose, R. (2004). Initiating change in prospective elementary school teachers’ orientations to mathematics teaching by building on beliefs. Journal of Mathematics Teacher Education, 7, 91-119.
  • Anderson, L. M., & Bird, T. (1995). How three prospective teachers construed three cases of teaching. Teaching and Teacher Education, 11, 479-499.
  • Borko, H., & Shavelson, R. (1990). Teacher decision making in B.F. Jones & L. Idol (Eds.) Dimensions of thinking and cognitive instruction, 311-346. Hillsdale, NJ: Erlbaum.
  • Buzeika, A. (1996). Teachers’ beliefs and practice: The chicken or the egg? In P.C. Clarkson (Ed.). Proceeding of the 19th Annual Conference of the Mathematics Education Research Group of the Australasia, Melbourne: Mathematics Education Research Group of Australasia.
  • Carter, G., & Norwood, K. S. (1997). The relationship between teacher and sudent beliefs about mathematics. School Science and Mathematics, 97(2), 62-67.
  • Ernest, P. (1989). The impact of beliefs on the teaching of mathematics. Paper prepared for ICME VI, Budapest, Hungary.
  • Feiman, N., S. (2001). From preparation to practice: designing a continuum to strengthen and sustain teaching. Teachers College Record, 103, 1013– 1055.
  • George, D. (2011). SPSS for windows step by step: A simple study guide and reference, 17.0 update, 10/e. Pearson Education, India.
  • Gill, M. G., Ashton, P. T., & Algina, J. (2004). Changing preservice teachers’ epistemological beliefs about teaching and learning in mathematics: An intervention study. Contemporary Educational Psychology, 29, 164-185.
  • Haser, C. (2006). Investigation of preservice and inservice teachers' mathematics related beliefs in Turkey and the perceived effect of middle school mathematics education program and the school contexts on these beliefs. Michigan State University, USA.
  • Haser, C., & Dogan, O. (2009). Understanding the impact of an initial methods course on preservice teachers’ teaching beliefs. In European Conference on Educational Research (ECER), Vienna, Austria.
  • Hersh, R. (1979). Some proposals for reviving the philosophy of mathematics. Advances in mathematics, 31(1), 31-50.
  • Joram, E., & Gabriele, A. J. (1998). Preservice teachers’ prior beliefs: Transforming obstacles into opportunities. Teaching and Teacher Education, 14(2), 175-191.
  • Kagan, D. M. (1992). Implications of research on teacher belief. Educational Psychologist, 27(1), 65-90.
  • Karagöz, Y. (2021). Bilimsel araştırma yöntemleri (3. ed.). Atlas Akademik Basım Yayın Ltd.Şti., Ankara, Türkiye.
  • Kayan, F. (2007). A study on preservice elementary mathematics teachers’ mathematical problem-solving beliefs, Yüksek Lisans Tezi, Orta Doğu Teknik Üniversitesi Sosyal Bilimler Enstitüsü, Ankara, Türkiye.
  • Lindgren, S. (1996). Thompson’s levels and views about mathematics. An analysis of Finnish preservice teachers’ beliefs. Zentralblatt für Didaktik der Mathematik, 28(4), 113–117.
  • McClain, K. (2002). Teacher’s and students’ understanding: The role of tools and inscriptions in supporting effective communication. The Journal of the Learning Sciences, 11(3), 217–249.
  • MEB. (2009). İlköğretim Matematik Dersi 6-8. Sınıflar Öğretim Programı. Devlet Kitapları Müdürlüğü Basımevi: Ankara, Türkiye.
  • Nathan, M. J., & Koedinger, K. R. (2000). An investigation of teachers' beliefs of students' algebra development. Cognition and Instruction, 18(2), 207- 235.
  • Nespor, J. (1987). The role of beliefs in the practice of teaching. Journal of Curriculum Studies, 19, 317-328.
  • Pajares, M. F. (1992). Teachers’ beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62(3), 307-332.
  • Pehkonen, E. (2008). State-of-the-art in mathematical beliefs research. In M. Niss (Ed.), ICME-10 Proceedings and Regular Lectures. Copenhagen: ICME-10, Roskilde, Danimarka.
  • Raymond, A. M. (1997). Inconsistency between a beginning elementary school teacher’s mathematics beliefs and teaching practice. Journal for Research in Mathematics Education, 28, 550–577.
  • Richardson, J. T. E. (1996). Handbook of Qualitative Research Methods for Psychology and the Social Sciences. PBS Books: Leicester, England.
  • Stipek, D. J., Givvin, K. B., Salmon, J.M., & MacGyvers, V. L. (2001). Teachers' beliefs and practices related to mathematics instruction. Teaching and Teacher Education, 17, 213-226.
  • Thompson, A. G. (1992). Teachers’ beliefs and conceptions: a synthesis of research. In: Grouws, Handbook of Research on Mathematics Teaching and Learning. D.A. (Ed.). New York, USA.

THE INVESTIGATION OF MATHEMATICS TEACHERS' BELIEFS REGARDING MATHEMATICS

Year 2024, Volume: 5 Issue: 9, 131 - 147, 31.12.2024
https://doi.org/10.62356/cihansumul.1553415

Abstract

This study aims to examine mathematics teachers' beliefs about the nature, teaching and learning of mathematics in terms of various variables. Determining teachers' beliefs is important because it will affect future teaching methods. The research aims to reveal how teachers' beliefs affect their practices in teaching processes and how these beliefs interact with different variables. The study employed a sample of 160 mathematics teachers working at the primary and secondary levels across all campuses of a private school affiliated with the Ministry of National Education in Turkey. The Mathematics Belief Scale (MRBS) was employed as the instrument for data collection. The scale is comprised of two sub-dimensions, which assess constructivist and traditional beliefs, respectively. The research results showed that teachers' mathematical beliefs are related to various demographic and professional factors. The effects of variables such as gender, age, level of education, income status, level of duty, length of professional experience, existence and number of certificates on teachers' beliefs were examined. In particular, it was determined that female teachers had higher beliefs about mathematics than male teachers, and teachers working at the primary school level had higher constructivist beliefs than those working at the secondary school level. The study revealed that teachers' traditional beliefs were at a medium level and their constructivist beliefs were at a high level. In addition, a negative relationship was found between teachers' ages and their traditional beliefs. These findings can make significant contributions to the development of teacher training programs and the improvement of mathematics education.

References

  • Abelson, R. P. (1979). Differences between belief and knowledge systems. Cognitive science, 3(4), 355-366.
  • Altunışık. R., Coşkun. R., Bayraktaroğlu. S., & Yıldırım. E. (2012). Sosyal bilimlerde araştırma yöntemleri, (7. Baskı). Sakarya Yayıncılık: İstanbul, Türkiye.
  • Ambrose, R. (2004). Initiating change in prospective elementary school teachers’ orientations to mathematics teaching by building on beliefs. Journal of Mathematics Teacher Education, 7, 91-119.
  • Anderson, L. M., & Bird, T. (1995). How three prospective teachers construed three cases of teaching. Teaching and Teacher Education, 11, 479-499.
  • Borko, H., & Shavelson, R. (1990). Teacher decision making in B.F. Jones & L. Idol (Eds.) Dimensions of thinking and cognitive instruction, 311-346. Hillsdale, NJ: Erlbaum.
  • Buzeika, A. (1996). Teachers’ beliefs and practice: The chicken or the egg? In P.C. Clarkson (Ed.). Proceeding of the 19th Annual Conference of the Mathematics Education Research Group of the Australasia, Melbourne: Mathematics Education Research Group of Australasia.
  • Carter, G., & Norwood, K. S. (1997). The relationship between teacher and sudent beliefs about mathematics. School Science and Mathematics, 97(2), 62-67.
  • Ernest, P. (1989). The impact of beliefs on the teaching of mathematics. Paper prepared for ICME VI, Budapest, Hungary.
  • Feiman, N., S. (2001). From preparation to practice: designing a continuum to strengthen and sustain teaching. Teachers College Record, 103, 1013– 1055.
  • George, D. (2011). SPSS for windows step by step: A simple study guide and reference, 17.0 update, 10/e. Pearson Education, India.
  • Gill, M. G., Ashton, P. T., & Algina, J. (2004). Changing preservice teachers’ epistemological beliefs about teaching and learning in mathematics: An intervention study. Contemporary Educational Psychology, 29, 164-185.
  • Haser, C. (2006). Investigation of preservice and inservice teachers' mathematics related beliefs in Turkey and the perceived effect of middle school mathematics education program and the school contexts on these beliefs. Michigan State University, USA.
  • Haser, C., & Dogan, O. (2009). Understanding the impact of an initial methods course on preservice teachers’ teaching beliefs. In European Conference on Educational Research (ECER), Vienna, Austria.
  • Hersh, R. (1979). Some proposals for reviving the philosophy of mathematics. Advances in mathematics, 31(1), 31-50.
  • Joram, E., & Gabriele, A. J. (1998). Preservice teachers’ prior beliefs: Transforming obstacles into opportunities. Teaching and Teacher Education, 14(2), 175-191.
  • Kagan, D. M. (1992). Implications of research on teacher belief. Educational Psychologist, 27(1), 65-90.
  • Karagöz, Y. (2021). Bilimsel araştırma yöntemleri (3. ed.). Atlas Akademik Basım Yayın Ltd.Şti., Ankara, Türkiye.
  • Kayan, F. (2007). A study on preservice elementary mathematics teachers’ mathematical problem-solving beliefs, Yüksek Lisans Tezi, Orta Doğu Teknik Üniversitesi Sosyal Bilimler Enstitüsü, Ankara, Türkiye.
  • Lindgren, S. (1996). Thompson’s levels and views about mathematics. An analysis of Finnish preservice teachers’ beliefs. Zentralblatt für Didaktik der Mathematik, 28(4), 113–117.
  • McClain, K. (2002). Teacher’s and students’ understanding: The role of tools and inscriptions in supporting effective communication. The Journal of the Learning Sciences, 11(3), 217–249.
  • MEB. (2009). İlköğretim Matematik Dersi 6-8. Sınıflar Öğretim Programı. Devlet Kitapları Müdürlüğü Basımevi: Ankara, Türkiye.
  • Nathan, M. J., & Koedinger, K. R. (2000). An investigation of teachers' beliefs of students' algebra development. Cognition and Instruction, 18(2), 207- 235.
  • Nespor, J. (1987). The role of beliefs in the practice of teaching. Journal of Curriculum Studies, 19, 317-328.
  • Pajares, M. F. (1992). Teachers’ beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62(3), 307-332.
  • Pehkonen, E. (2008). State-of-the-art in mathematical beliefs research. In M. Niss (Ed.), ICME-10 Proceedings and Regular Lectures. Copenhagen: ICME-10, Roskilde, Danimarka.
  • Raymond, A. M. (1997). Inconsistency between a beginning elementary school teacher’s mathematics beliefs and teaching practice. Journal for Research in Mathematics Education, 28, 550–577.
  • Richardson, J. T. E. (1996). Handbook of Qualitative Research Methods for Psychology and the Social Sciences. PBS Books: Leicester, England.
  • Stipek, D. J., Givvin, K. B., Salmon, J.M., & MacGyvers, V. L. (2001). Teachers' beliefs and practices related to mathematics instruction. Teaching and Teacher Education, 17, 213-226.
  • Thompson, A. G. (1992). Teachers’ beliefs and conceptions: a synthesis of research. In: Grouws, Handbook of Research on Mathematics Teaching and Learning. D.A. (Ed.). New York, USA.
There are 29 citations in total.

Details

Primary Language Turkish
Subjects Econometric and Statistical Methods
Journal Section Research Articles
Authors

Eda Atici 0009-0008-3897-0279

Yener Altun 0000-0003-1073-5513

Mehmet Fırat 0000-0002-0091-4713

Early Pub Date December 30, 2024
Publication Date December 31, 2024
Submission Date September 20, 2024
Acceptance Date October 15, 2024
Published in Issue Year 2024 Volume: 5 Issue: 9

Cite

APA Atici, E., Altun, Y., & Fırat, M. (2024). MATEMATİK ÖĞRETMENLERİNİN MATEMATİĞE İLİŞKİN İNANÇLARININ İNCELENMESİ. Cihanşümul Akademi Sosyal Bilimler Dergisi, 5(9), 131-147. https://doi.org/10.62356/cihansumul.1553415

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