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Matematik Öğretmenlerinin Teknoloji Entegrasyon Yaklaşımlarının Enstrumantal Orkestrasyon Çerçevesinde İncelenmesi

Year 2021, Volume: 12 Issue: 2, 406 - 431, 28.12.2021
https://doi.org/10.51460/baebd.825500

Abstract

Bu çalışmanın amacı, matematik öğretmenlerinin teknolojik araçları ders anlatımlarına entegre etmede benimsedikleri yaklaşımları incelemektir. Bu amaç doğrultusunda matematik öğretmenlerinin kullanacakları teknolojik araçları nasıl seçtikleri, hangi kavramlar için teknoloji kullanımını tercih ettikleri ve bu araçları nasıl kullandıkları araştırılmıştır. Benimsedikleri yaklaşımlara ışık tutmak için matematik öğretiminde teknoloji kullanımı ile ilgili olumlu ve olumsuz görüşleri de alınmıştır. Katılımcıların teknoloji entegrasyon yaklaşımlarını incelemek için öğretmen ile teknolojik araç arasındaki ilişkiye odaklanan enstrümantal orkestrasyon teorik çerçevesi kullanılmıştır. Araştırmada betimsel tarama modeli benimsenmiş olup çalışmanın verilerini Türkiye’deki çeşitli okullarda görev yapmakta olan 114 ortaokul ve lise matematik öğretmeninin açık uçlu bir ankete verdikleri yanıtlar oluşturmaktadır. Verilerin analizi sonucunda matematik öğretmenlerinin teknolojik araçları ekranı açıkla ve ekran ile tahta arasında bağlantı kur orkestrasyonları ile kullanmayı tercih ettikleri görülmüştür. Bunun yanında matematik öğretmenlerinin enstrümantal orkestrasyon bileşenlerinden didaktik yapılandırmaya önem verdikleri didaktik performanstan ise çekindikleri belirlenmiştir.

References

  • Abelson, H. & DiSessa, A. A. (1986). Turtle geometry: The computer as a medium for exploring mathematics: MIT press.
  • Akkoç, H. (2008). Kavramsal Anlama için Matematik Eğitiminde Teknoloji Kullanımı. M.F. Özmantar, E. Bingölbali ve H. Akkoç (Ed). Matematiksel Kavram Yanılgıları ve Çözüm Önerileri. (ss. 361-392). Ankara: PegemA.
  • Akkoc, H., & Dede, H. G. (2019, April). Understanding Preservice Mathematics Teachers’ Technology Use: Some Pedagogical Issues. In RAIS Conference Proceedings-The 12th International RAIS Conference on Social Sciences & Humanities.
  • Artigue, M. (2000). Instrumentation issues and the integration of computer technologies into secondary mathematics teaching. In Proceedings of the Annual Meeting of the GDM. Potsdam.
  • Artigue, M. (2002). Learning mathematics in a CAS environment: The genesis of a reflection about instrumentation and the dialectics between technical and conceptual work. International journal of computers for mathematical learning, 7(3), 245.
  • Bokhove, C. & Drijvers, P. (2012). Effects of a digital intervention on the development of algebraic expertise. Computers ve Education, 58(1), 197–208.
  • Borko, H., Whitcomb, J., & Liston, D. (2009). Wicked problems and other thoughts on issues of technology and teacher learning.
  • Burrill, G., Allison, J., Breaux, G., Kastberg, S., Leatham, K., & Sanchez, W. (2002). Handheld graphing technology in secondary mathematics. Lansing: MI: Michigan State University
  • Dillenbourg, P. & Jermann, P. (2010). Technology for classroom orchestration. In M. S. Khine e I. M. Saleh (Edd.), New science of learning: Cognition, computers and collaboration in education / editors, Myint Swe Khine, Issa M. Saleh (pp. 525–552). New York, London: Springer.
  • Doerr, H. M. & Zangor, R. (2000). Creating meaning for and with the graphing calculator. Educational Studies in Mathematics, 41(2), 143-163.
  • Drijvers, P. (2015). Digital Technology in Mathematics Education: Why It Works (Or Doesn’t). In S. J. Cho (Ed.), Selected Regular Lectures from the 12th International Congress on Mathematical Education (pp. 135–151). Cham: Springer International Publishing.
  • Drijvers, P., Doorman, M., Boon, P. & van Gisbergen, S. (2009). Instrumental orchestration: theory and practice. Proceedings of the sixth congress of the European Society for Research in Mathematics Education, 1349–1358.
  • Drijvers, P., Doorman, M., Boon, P., Reed, H., & Gravemeijer, K. (2010). The teacher and the tool: Instrumental orchestrations in the technology-rich mathematics classroom. Educational Studies in mathematics, 75(2), 213-234.
  • Drijvers, P., Tacoma, S., Besamusca, A., Doorman, M. & Boon, P. (2013). Digital resources inviting changes in mid-adopting teachers’ practices and orchestrations. ZDM, 45(7), 987–1001.
  • Drijvers, P. & Trouche, L. (2008). From artifacts to instruments: A theoretical framework behind the orchestra metaphor. Research on technology and the teaching and learning of mathematics, 2, 363–391.
  • Egenfeldt-Nielsen, S. (2011). Beyond edutainment: Exploring the educational potential of computer games: Lulu. com.
  • Ertmer, P. A. (2005). Teacher pedagogical beliefs: The final frontier in our quest for technology integration?. Educational technology research and development, 53(4), 25-39.
  • Guin, D. & Trouche, L. (1998). The complex process of converting tools into mathematical instruments: The case of calculators. International Journal of Computers for Mathematical Learning, 3(3), 195–227.
  • Guin, D. & Trouche, L. (2002). Mastering by the teacher of the instrumental genesis in CAS environments: necessity of intrumental orchestrations. Zentralblatt für Didaktik der Mathematik, 34(5), 204–211.
  • Haspekian, M. (2005). An “instrumental approach” to study the integration of a computer tool into mathematics teaching: The case of spreadsheets. International journal of computers for mathematical learning, 10(2), 109-141.
  • Hazzan, O. (2000). Attitudes of prospective high school mathematics teachers towards integrating information technologies in their future teaching. In Society for Information Technology & Teacher Education International Conference (pp. 1582-1587). Association for the Advancement of Computing in Education (AACE).
  • Heid, M. K. (1988). Resequencing Skills and Concepts in Applied Calculus Using the Computer as a Tool. Journal for Research in Mathematics Education, 19(1), 3-25. International Society for Technology in Education. (2002). National educational technology standards for teachers: Preparing teachers to use technology. ISTE (Interntl Soc Tech Educ.).
  • Karakaya, İ. (2012). Bilimsel araştırma yöntemleri. A. Tanrıöğen (Edt.) Bilimsel araştırma yöntemleri. Ankara: Anı.
  • Kersaint, G. (2007). Toward technology integration in mathematics education: A technology-integration course planning assignment. Contemporary Issues in Technology and Teacher Education, 7(4), 256-278.
  • Kersting, N. (2008). Using video clips of mathematics classroom instruction as item prompts to measure teachers' knowledge of teaching mathematics. Educational and Psychological Measurement, 68(5), 845–861.
  • Kieran, C. & Drijvers, P. (2006). The Co-Emergence of Machine Techniques, Paper-and-Pencil Techniques, and Theoretical Reflection: A Study of Cas use in Secondary School Algebra. International Journal of Computers for Mathematical Learning, 11(2), 205–263.
  • Koehler, M. & Mishra, P. (2009). What is technological pedagogical content knowledge (TPACK)? Contemporary issues in technology and teacher education, 9(1), 60–70.
  • Koyunkaya, M. Y., & Taşdan, B. T. (2019). Matematik öğretmen adaylarının ders planlarının teknoloji entegrasyonu açısından değerlendirilmesi. Eskişehir Osmangazi Üniversitesi Sosyal Bilimler Dergisi, 20, 1137-1166.
  • Lagrange, J. B. (2005). Transposing computer tools from the mathematical sciences into teaching. In The didactical challenge of symbolic calculators (pp. 67-82). Springer, Boston, MA.
  • Lagrange, J. B., Artigue, M., Laborde, C., & Trouche, L. (2001). A meta study on IC technologies in education. Towards a multidimensional framework to tackle their integration. In PME Conference (Vol. 1, pp. 1-111).
  • Lagrange, J. B., Artigue, M., Laborde, C., & Trouche, L. (2003). Technology and mathematics education: A multidimensional study of the evolution of research and innovation. In Second international handbook of mathematics education (pp. 237-269). Springer, Dordrecht.
  • Manoucherhri, A. (1999). Computers and school mathematics reform: Implications for mathematics teacher education. Journal of computers in mathematics and science teaching, 18(1), 31-48.
  • Mariotti, A. (2002). The influence of technological advances on students' mathematics learning. Handbook of international research in mathematics education, 695–723.
  • Milli Eğitim Bakanlığı. (2013). Ortaöğretim Matematik (9, 10, 11 ve 12. Sınıflar) Dersi Öğretim Programı. Ankara: Yazar.
  • Monaghan, J. (2004). Teachers’ Activities in Technology-Based Mathematics Lessons. International Journal of Computers for Mathematical Learning, 9(3), 327–357.
  • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics, Reston, VA: NCTM.
  • Noss, R. & Hoyles, C. (1996). Windows on mathematical meanings: Learning cultures and computers / by Richard Noss ve Celia Hoyles. Mathematics education library: v. 17. Dordrecht, London: Kluwer Academic Publishers.
  • Papert, S. A. (2020). Mindstorms: Children, computers, and powerful ideas. Basic books.
  • Penglase, M. & Arnold, S. (1996). The graphics calculator in mathematics education: A critical review of recent research. Mathematics Education Research Journal, 8(1), 58–90.
  • Rabardel, P. & Samurçay, R. (Edd.) 2001. From artifact to instrument-mediated learning.
  • Trouche, L. (2004). Managing the Complexity of Human/Machine Interactions in Computerized Learning Environments: Guiding Students’ Command Process through Instrumental Orchestrations. International Journal of Computers for Mathematical Learning, 9(3), 281–307.
  • Uysal, M. (2019). Mesleki ve teknik anadolu lisesinde çalışan öğretmenlerin eğitimde teknoloji kullanım tutumları ve bireysel yenilikçilik düzeylerinin incelenmesi (Küçükçekmece örneği) (Master's thesis, İstanbul Sabahattin Zaim Üniversitesi, Sosyal Bilimler Enstitüsü, Eğitim Bilimleri Anabilim Dalı).
  • Verillon, P. & Rabardel, P. (1995). Cognition and artifacts: A contribution to the study of though in relation to instrumented activity. European Journal of Psychology of Education, 10(1), 77–101.
  • Yıldırım, A., & Şimşek, H. (2000). Sosyal bilimlerde nitel araştırma yöntemleri. Ankara: Seçkin Yayınevi.
  • Yıldırım, A., & Şimşek, H. (2005). Sosyal bilimlerde nitel araştırma yöntemleri. Ankara: Seçkin Yayıncılık.
  • Yıldırım, A., & Şimşek, H. (2006). Sosyal bilimlerde nitel araştırma. Ankara: Seçkin Yayıncılık.
  • Wachira, P., & Keengwe, J. (2011). Technology integration barriers: Urban school mathematics teachers perspectives. Journal of science education and technology, 20(1), 17-25.
  • Wijers, M., Jonker, V., & Drijvers, P. (2010). MobileMath: Exploring mathematics outside the classroom. ZDM, 42(7), 789-799.
Year 2021, Volume: 12 Issue: 2, 406 - 431, 28.12.2021
https://doi.org/10.51460/baebd.825500

Abstract

References

  • Abelson, H. & DiSessa, A. A. (1986). Turtle geometry: The computer as a medium for exploring mathematics: MIT press.
  • Akkoç, H. (2008). Kavramsal Anlama için Matematik Eğitiminde Teknoloji Kullanımı. M.F. Özmantar, E. Bingölbali ve H. Akkoç (Ed). Matematiksel Kavram Yanılgıları ve Çözüm Önerileri. (ss. 361-392). Ankara: PegemA.
  • Akkoc, H., & Dede, H. G. (2019, April). Understanding Preservice Mathematics Teachers’ Technology Use: Some Pedagogical Issues. In RAIS Conference Proceedings-The 12th International RAIS Conference on Social Sciences & Humanities.
  • Artigue, M. (2000). Instrumentation issues and the integration of computer technologies into secondary mathematics teaching. In Proceedings of the Annual Meeting of the GDM. Potsdam.
  • Artigue, M. (2002). Learning mathematics in a CAS environment: The genesis of a reflection about instrumentation and the dialectics between technical and conceptual work. International journal of computers for mathematical learning, 7(3), 245.
  • Bokhove, C. & Drijvers, P. (2012). Effects of a digital intervention on the development of algebraic expertise. Computers ve Education, 58(1), 197–208.
  • Borko, H., Whitcomb, J., & Liston, D. (2009). Wicked problems and other thoughts on issues of technology and teacher learning.
  • Burrill, G., Allison, J., Breaux, G., Kastberg, S., Leatham, K., & Sanchez, W. (2002). Handheld graphing technology in secondary mathematics. Lansing: MI: Michigan State University
  • Dillenbourg, P. & Jermann, P. (2010). Technology for classroom orchestration. In M. S. Khine e I. M. Saleh (Edd.), New science of learning: Cognition, computers and collaboration in education / editors, Myint Swe Khine, Issa M. Saleh (pp. 525–552). New York, London: Springer.
  • Doerr, H. M. & Zangor, R. (2000). Creating meaning for and with the graphing calculator. Educational Studies in Mathematics, 41(2), 143-163.
  • Drijvers, P. (2015). Digital Technology in Mathematics Education: Why It Works (Or Doesn’t). In S. J. Cho (Ed.), Selected Regular Lectures from the 12th International Congress on Mathematical Education (pp. 135–151). Cham: Springer International Publishing.
  • Drijvers, P., Doorman, M., Boon, P. & van Gisbergen, S. (2009). Instrumental orchestration: theory and practice. Proceedings of the sixth congress of the European Society for Research in Mathematics Education, 1349–1358.
  • Drijvers, P., Doorman, M., Boon, P., Reed, H., & Gravemeijer, K. (2010). The teacher and the tool: Instrumental orchestrations in the technology-rich mathematics classroom. Educational Studies in mathematics, 75(2), 213-234.
  • Drijvers, P., Tacoma, S., Besamusca, A., Doorman, M. & Boon, P. (2013). Digital resources inviting changes in mid-adopting teachers’ practices and orchestrations. ZDM, 45(7), 987–1001.
  • Drijvers, P. & Trouche, L. (2008). From artifacts to instruments: A theoretical framework behind the orchestra metaphor. Research on technology and the teaching and learning of mathematics, 2, 363–391.
  • Egenfeldt-Nielsen, S. (2011). Beyond edutainment: Exploring the educational potential of computer games: Lulu. com.
  • Ertmer, P. A. (2005). Teacher pedagogical beliefs: The final frontier in our quest for technology integration?. Educational technology research and development, 53(4), 25-39.
  • Guin, D. & Trouche, L. (1998). The complex process of converting tools into mathematical instruments: The case of calculators. International Journal of Computers for Mathematical Learning, 3(3), 195–227.
  • Guin, D. & Trouche, L. (2002). Mastering by the teacher of the instrumental genesis in CAS environments: necessity of intrumental orchestrations. Zentralblatt für Didaktik der Mathematik, 34(5), 204–211.
  • Haspekian, M. (2005). An “instrumental approach” to study the integration of a computer tool into mathematics teaching: The case of spreadsheets. International journal of computers for mathematical learning, 10(2), 109-141.
  • Hazzan, O. (2000). Attitudes of prospective high school mathematics teachers towards integrating information technologies in their future teaching. In Society for Information Technology & Teacher Education International Conference (pp. 1582-1587). Association for the Advancement of Computing in Education (AACE).
  • Heid, M. K. (1988). Resequencing Skills and Concepts in Applied Calculus Using the Computer as a Tool. Journal for Research in Mathematics Education, 19(1), 3-25. International Society for Technology in Education. (2002). National educational technology standards for teachers: Preparing teachers to use technology. ISTE (Interntl Soc Tech Educ.).
  • Karakaya, İ. (2012). Bilimsel araştırma yöntemleri. A. Tanrıöğen (Edt.) Bilimsel araştırma yöntemleri. Ankara: Anı.
  • Kersaint, G. (2007). Toward technology integration in mathematics education: A technology-integration course planning assignment. Contemporary Issues in Technology and Teacher Education, 7(4), 256-278.
  • Kersting, N. (2008). Using video clips of mathematics classroom instruction as item prompts to measure teachers' knowledge of teaching mathematics. Educational and Psychological Measurement, 68(5), 845–861.
  • Kieran, C. & Drijvers, P. (2006). The Co-Emergence of Machine Techniques, Paper-and-Pencil Techniques, and Theoretical Reflection: A Study of Cas use in Secondary School Algebra. International Journal of Computers for Mathematical Learning, 11(2), 205–263.
  • Koehler, M. & Mishra, P. (2009). What is technological pedagogical content knowledge (TPACK)? Contemporary issues in technology and teacher education, 9(1), 60–70.
  • Koyunkaya, M. Y., & Taşdan, B. T. (2019). Matematik öğretmen adaylarının ders planlarının teknoloji entegrasyonu açısından değerlendirilmesi. Eskişehir Osmangazi Üniversitesi Sosyal Bilimler Dergisi, 20, 1137-1166.
  • Lagrange, J. B. (2005). Transposing computer tools from the mathematical sciences into teaching. In The didactical challenge of symbolic calculators (pp. 67-82). Springer, Boston, MA.
  • Lagrange, J. B., Artigue, M., Laborde, C., & Trouche, L. (2001). A meta study on IC technologies in education. Towards a multidimensional framework to tackle their integration. In PME Conference (Vol. 1, pp. 1-111).
  • Lagrange, J. B., Artigue, M., Laborde, C., & Trouche, L. (2003). Technology and mathematics education: A multidimensional study of the evolution of research and innovation. In Second international handbook of mathematics education (pp. 237-269). Springer, Dordrecht.
  • Manoucherhri, A. (1999). Computers and school mathematics reform: Implications for mathematics teacher education. Journal of computers in mathematics and science teaching, 18(1), 31-48.
  • Mariotti, A. (2002). The influence of technological advances on students' mathematics learning. Handbook of international research in mathematics education, 695–723.
  • Milli Eğitim Bakanlığı. (2013). Ortaöğretim Matematik (9, 10, 11 ve 12. Sınıflar) Dersi Öğretim Programı. Ankara: Yazar.
  • Monaghan, J. (2004). Teachers’ Activities in Technology-Based Mathematics Lessons. International Journal of Computers for Mathematical Learning, 9(3), 327–357.
  • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics, Reston, VA: NCTM.
  • Noss, R. & Hoyles, C. (1996). Windows on mathematical meanings: Learning cultures and computers / by Richard Noss ve Celia Hoyles. Mathematics education library: v. 17. Dordrecht, London: Kluwer Academic Publishers.
  • Papert, S. A. (2020). Mindstorms: Children, computers, and powerful ideas. Basic books.
  • Penglase, M. & Arnold, S. (1996). The graphics calculator in mathematics education: A critical review of recent research. Mathematics Education Research Journal, 8(1), 58–90.
  • Rabardel, P. & Samurçay, R. (Edd.) 2001. From artifact to instrument-mediated learning.
  • Trouche, L. (2004). Managing the Complexity of Human/Machine Interactions in Computerized Learning Environments: Guiding Students’ Command Process through Instrumental Orchestrations. International Journal of Computers for Mathematical Learning, 9(3), 281–307.
  • Uysal, M. (2019). Mesleki ve teknik anadolu lisesinde çalışan öğretmenlerin eğitimde teknoloji kullanım tutumları ve bireysel yenilikçilik düzeylerinin incelenmesi (Küçükçekmece örneği) (Master's thesis, İstanbul Sabahattin Zaim Üniversitesi, Sosyal Bilimler Enstitüsü, Eğitim Bilimleri Anabilim Dalı).
  • Verillon, P. & Rabardel, P. (1995). Cognition and artifacts: A contribution to the study of though in relation to instrumented activity. European Journal of Psychology of Education, 10(1), 77–101.
  • Yıldırım, A., & Şimşek, H. (2000). Sosyal bilimlerde nitel araştırma yöntemleri. Ankara: Seçkin Yayınevi.
  • Yıldırım, A., & Şimşek, H. (2005). Sosyal bilimlerde nitel araştırma yöntemleri. Ankara: Seçkin Yayıncılık.
  • Yıldırım, A., & Şimşek, H. (2006). Sosyal bilimlerde nitel araştırma. Ankara: Seçkin Yayıncılık.
  • Wachira, P., & Keengwe, J. (2011). Technology integration barriers: Urban school mathematics teachers perspectives. Journal of science education and technology, 20(1), 17-25.
  • Wijers, M., Jonker, V., & Drijvers, P. (2010). MobileMath: Exploring mathematics outside the classroom. ZDM, 42(7), 789-799.
There are 48 citations in total.

Details

Primary Language Turkish
Subjects Other Fields of Education
Journal Section Articles
Authors

Seyfettin Alan 0000-0002-9910-1199

Hatice Akkoç 0000-0002-0223-1158

Sibel Yeşildere 0000-0003-3878-3859

Tuğçe Kozaklı Ülger 0000-0001-8413-8290

Publication Date December 28, 2021
Submission Date November 13, 2020
Published in Issue Year 2021 Volume: 12 Issue: 2

Cite

APA Alan, S., Akkoç, H., Yeşildere, S., Kozaklı Ülger, T. (2021). Matematik Öğretmenlerinin Teknoloji Entegrasyon Yaklaşımlarının Enstrumantal Orkestrasyon Çerçevesinde İncelenmesi. Batı Anadolu Eğitim Bilimleri Dergisi, 12(2), 406-431. https://doi.org/10.51460/baebd.825500