Trends in Postgraduate Thesis Studies Addressing Pedagogical Content Knowledge in Mathematics Education in Turkey: A Systematic Review
Year 2022,
, 135 - 171, 30.06.2022
Filiz Dikkartın Övez
,
Semanur Can
,
Emine Özdemir
Abstract
The aim of this study is to systematically review and assess the subliminal theses in Turkey which were subject to pedagogical know-how from the mathematical studies published in the national thesis center between 2016 and 2021. To examine prostheses according to certain criteria, qualitative research methods were based on a systematic examination method. In order to obtain the data of the study, 25 postgraduate theses about pedagogic content knowledge in math education were included in the analysis based on the PRISMA information flow, at the National Thesis Data Center of the Presidency of the Council of Higher Education. The theses chosen in line with the aim of the study were examined in the framework of the study evaluation form. As a result, it has been found that the knowledge of program, content knowledge, knowledge of understanding student, and knowledge of instructional strategies - subcomponents of pedagogical content knowledge as revealed by theorists who reviewed pedagogic content knowledge - is not scrutinized in detail by the graduate thesis studies.
References
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- Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59 (5), 389–407.
- Blömeke, S., Gustafsson, J. E. and Shavelson, R. J. (2015). Beyond dichotomies: Competence viewed as a continuum. Zeitschrift für Psychologie, 223(1), 3-13.
Cankoy, O. (2010). Mathematics teachers’ topic-specific pedagogical content knowledge in the context of teaching a0, 0!, and and a ÷ 0. Educational Sciences: Theory & Practice, 10(2), 749–769.
- Cochran, K. F., DeRuiter, J. A., & King, R. A. (1993). Pedagogical content knowing: An integrative model for teacher preparation. Journal of Teacher Education, 44, 263–272.
Copur-Gençtürk, Y. (2012). Teachers mathematical knowledge for teaching, ınstructıonal practıces, and student outcome [Unpublished master’s thesis]. Illinois University, Urbana.
- Çıkrıkçı, F. H. (2015). Ortaokul matematik öğretmen adaylarının cebir öğrenme alanına ilişkin alan ve pedagojik alan bilgilerinin incelenmesi [Examination of middle school mathematics teacher candidates’ pedagogical content knowledge and knowledge of fields related to teaching algebra]. (Master’s thesis, Dokuz Eylül University, İzmir, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Depaepe, F., Verschaffel, L., & Kelchtermans, G. (2013). Pedagogical content knowledge: A systematic review of the way in which the concept has pervaded mathematics educational research. Teaching and Teacher Education, 34, 12–25.
- Dönmez, G. (2009). Matematik öğretmen adaylarının limit ve süreklilik kavramlarına ilişkin pedagojik alan bilgilerinin değerlendirilmesi [Evaluation of mathematics pre-service teachers’ pedagogical content knowledge related to the concepts of limit and continuity] (Master’s thesis, Marmara University, İstanbul, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Eroğlu, D., & Tanışlı, D. (2015). Ortaokul matematik öğretmenlerinin temsil kullanımına ilişkin öğrenci ve öğretim stratejileri bilgileri [Middle-school mathematics teachers’ knowledge of students on the use of representations and knowledge of education strategies]. Necatibey Faculty of Education, Electronic Journal of Science and Mathematics Education. 9(1), 275–307.
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- Fennema,E., & Franke M. L. (1992). Teachers’ knowledge and its impact. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 147-164.) New York: Macmillan.
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- Grossman, P. (1990). The making of a teacher .New York, NY: Teachers College Press.
- Gökbulut, Y. (2010). Sınıf öğretmeni adaylarının geometrik cisimler konusundaki pedagojik alan bilgileri [Classroom pre-service teachers’ pedagogical content knowledge of geometric objects] (Unpublished Master’s thesis, Gazi University, Ankara, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Gökkurt, B., Şahin, Ö., Soylu, Y., & Doğan, Y. (2015). Öğretmen Adaylarının Geometrik Cisimler Konusuna İlişkin Öğrenci Hatalarına Yönelik Pedagojik Alan Bilgileri [Teacher candidates’ pedagogic knowledge of student misconceptions related to the subject of geometric objects]. İlköğretim Online, 14(1), 55–71.
- Güler, M. (2014). Öğretmen adaylarının matematik öğretme bilgilerinin incelenmesi: cebir örneği [Investigation of pre-service teachers knowledge of mathematics teaching: The example of algebra] (Master’s thesis, Karadeniz Technical University, Trabzon, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Hacıömeroğlu, G. (2013). Sınıf öğretmeni adaylarının öğretim için matematiksel bilgisi: öğrencilerin toplama ve çıkarma işlemlerine ilişkin çözümlerinin analizi [Pre-service teachers knowledge of mathematics for teaching: Analysis of solutions related to students’ addition and subtraction]. Educational and Science, 38(168), 332–346.
- Hill, H.C, Ball, D. L., & Schilling, S. G. (2008). Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers‘ topic-specific knowledge of students. Journal for Research in Mathematics Education, 39 (4), 372–400.
- Hill, H., C., Rowan, B., & Ball, D. L. (2005). Effects of teachers’ mathematical knowledge for teaching on student achievement. American Educational Research Journal, 42 (2), 371–406.
- Işıksal Bostan, M. Ve Osmanoğlu, A. (2016). Pedagojik alan bilgisi [Pedagogical content knowledge]. E. Bingölbali, S. Arslan ve İ. Ö. Zembat, (Ed.), Matematik Eğitiminde Teoriler [Theories in Mathematics Education] (pp.678-699). Ankara: Pegem Akademi.
- Kovarik K (2008). Mathematics Educators' and Teachers' Perceptions of Pedagogical Content Knowledge (Doctoral Dissertation, Columbıa Unıversıty, The Executive Committee of the Graduate School of Arts and Sciences, USA).
- Köklü, O. (2008). Teachers’ content knowledge in teaching slope of a line (Master’s thesis, Boğaziçi University, İstanbul, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Kula, S. (2011). Investigating mathematics pre-service teachers’ knowledge of area through the model of four knowing and their knowledge of teaching area: the example of limi. (Master’s thesis, Dokuz Eylül University, İzmir, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Lannin, J. K., Barker, D. D., & Townsend, B. E. (2006). Recursive and explicit rules: How can we build student algebraic understanding?. Journal of Mathematical Behavior, 25, 299- 317.
- Lesseig, K. (2016). Investigating mathematical knowledge for teaching proof in professional development. International Journal of Research in Education and Science (IJRES), 2(2), 253-270. doi: http://.dx.doi.org/10.21890/ijres.13913
- Liberati, A., Altman, D. G., Tetzlaff, J., Mulrow, C., Gøtzsche, P. C., Ioannidis, J. P. A. Clarke, P., Devereaux, J., Kleijnen, D., Moher, D. (2009). The PRISMA statement for reporting systematic reviews and meta-analyses of studies that evaluate health care interventions: explanation and elaboration. Journal of Clinical Epidemiology, 62, 1-34.
- Magnusson, S., Krajcik, L., & Borko, H. (1999). Nature, sources and development of pedagogical content knowledge. In J. Gess-Newsome & N. G. Lederman (Eds.), Examining pedagogical content knowledge (pp. 95–132). Dordrecht, The Netherlands: Kluwer.
- Marshall, C. & Rossman, G.B. (2006). Designing qualitative research (Fourth edition). California: Sage Publications.
- Marks, R. (1990). Pedagogical content knowledge: From a mathematical case to a modified conception. Journal of teacher education, 41(3), 3-11.
Miles, M, B.,& Huberman, A. M. (1994). Qualitative data analysis: An expanded Sourcebook. (2nd ed). Thousand Oaks, CA: Sage.
- Park, S., & Oliver, J. S. (2008). Revisiting the conceptualization of pedagogical content knowledge (PCK): PCK as a conceptual tool to understand teachers as professionals. Research in Science Education , 38 , 261–284.
- Rowland, T., Turner, F., Thwaites, A. and Huckstep, P. (2009). Developing primary mathematics teaching: Reflecting on practice with the Knowledge Quartet. London: Sage.
- Sayın, V., Uluçınar Sağır, Ş. ve Ermiş, M. (2021). Türkiye’de 2015-2020 yılları arasında pedagojik alan bilgisi ile ilgili lisansüstü tezlerin incelenmesi [Investigation of Postgraduate Theses About The Pedagogical Content Knowledge in Turkey Between The Years 2015-2020] Gazi Üniversitesi Gazi Eğitim Fakültesi Dergisi, 41(1), 379-413.
- Sezer, E. (2012). Matematik öğretimi dersi kapsamında kullanılan yazma etkinliklerinin sınıf öğretmeni adaylarının kesirler konusuna ilişkin pedagojik alan bilgilerine etkisinin incelenmesi [Examining the effects of writing activities used in the scope of teaching mathematics on preservice teachers’ pedagogical content knowledge] (Master’s thesis, Hacettepe University, Ankara, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Stacey, K., & Chick, H. (2004). Solving the problem with algebra. In The Future of the Teaching and Learning of Algebra, The 12 th ICMI Study (pp. 1-20). Springer Netherlands.
- Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14.
- Shulman, L. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57(1), 1-23.
- Şahin, Ö., Erdem, E., Başıbüyük, K., Gökkurt, B., & Soylu, Y. (2014). Ortaokul matematik öğretmenlerinin sayılarla ilgili pedagojik alan bilgilerinin gelişiminin incelenmesi [Developing middle school pre-service teachers’ pedagogical content knowledge related to facts and figures]. Turkish Journal of Computer and Mathematics Education, 5(3), 207–230.
- Şimşek, N. & Boz, N. (2016). Analysis of pedagogical content knowledge studies in the context of mathematics education in Turkey: A meta-synthesis study. Kuram ve Uygulamada Eğitim Bilimleri, 16(3), 799-826.
- Yıldırım, A., ve Şimşek, H. (2013). Sosyal bilimlerde araştırma yöntemleri [Research methods in social sciences] (Extended 9th Edition). Ankara: Seçkin Yayıncılık.
Year 2022,
, 135 - 171, 30.06.2022
Filiz Dikkartın Övez
,
Semanur Can
,
Emine Özdemir
References
- Aksu, Z. & Konyalıoğlu, A. C. (2015). Sınıf Öğretmen Adaylarının Kesirler Konusundaki Pedagojik Alan Bilgileri [Pre-Service Primary School Teachers’ Pedagogical Content Knowledge In Fractions]. Kastamonu Education Journal, 23 (2) , 723-738 . Retrieved from https://dergipark.org.tr/tr/pub/kefdergi/issue/22599/241424
- Altaylı, D., Konyalıoğlu, A. C., Cihan, A., Hızarcı, S., & Kaplan, A. (2014). İlköğretim matematik öğretmen adaylarının üç boyutlu cisimlere ilişkin pedagojik alan bilgilerinin incelenmesi [Investigation of pre-service math teachers’ pedagogic knowledge of threedimensional objects]. Middle Eastern & African Journal of Educational Research, 10, 4–24.
- Baki, A. (2018). Matematiği öğretme bilgisi [Knowledge of teaching math]. Ankara: Pegem Akademi.
- Baki, M. (2012). Sınıf öğretmeni adaylarının matematiği öğretme bilgilerinin gelişiminin incelenmesi: Bir ders imecesi (Lesson study) çalışması [Examining the development of classroom pre-service teachers’ knowledge of teaching mathematics: Study of the collective work of a lesson]. (Doctoral dissertation, Karadeniz Technical University, Trabzon, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Ball, D. L. ve McDiarmid, G. W. (1990). The subject matter preparation of teachers. In W. R. Houston (Ed.), Handbook of research on teacher education (pp.437-449). New York: Macmilan.
- Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59 (5), 389–407.
- Blömeke, S., Gustafsson, J. E. and Shavelson, R. J. (2015). Beyond dichotomies: Competence viewed as a continuum. Zeitschrift für Psychologie, 223(1), 3-13.
Cankoy, O. (2010). Mathematics teachers’ topic-specific pedagogical content knowledge in the context of teaching a0, 0!, and and a ÷ 0. Educational Sciences: Theory & Practice, 10(2), 749–769.
- Cochran, K. F., DeRuiter, J. A., & King, R. A. (1993). Pedagogical content knowing: An integrative model for teacher preparation. Journal of Teacher Education, 44, 263–272.
Copur-Gençtürk, Y. (2012). Teachers mathematical knowledge for teaching, ınstructıonal practıces, and student outcome [Unpublished master’s thesis]. Illinois University, Urbana.
- Çıkrıkçı, F. H. (2015). Ortaokul matematik öğretmen adaylarının cebir öğrenme alanına ilişkin alan ve pedagojik alan bilgilerinin incelenmesi [Examination of middle school mathematics teacher candidates’ pedagogical content knowledge and knowledge of fields related to teaching algebra]. (Master’s thesis, Dokuz Eylül University, İzmir, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Depaepe, F., Verschaffel, L., & Kelchtermans, G. (2013). Pedagogical content knowledge: A systematic review of the way in which the concept has pervaded mathematics educational research. Teaching and Teacher Education, 34, 12–25.
- Dönmez, G. (2009). Matematik öğretmen adaylarının limit ve süreklilik kavramlarına ilişkin pedagojik alan bilgilerinin değerlendirilmesi [Evaluation of mathematics pre-service teachers’ pedagogical content knowledge related to the concepts of limit and continuity] (Master’s thesis, Marmara University, İstanbul, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Eroğlu, D., & Tanışlı, D. (2015). Ortaokul matematik öğretmenlerinin temsil kullanımına ilişkin öğrenci ve öğretim stratejileri bilgileri [Middle-school mathematics teachers’ knowledge of students on the use of representations and knowledge of education strategies]. Necatibey Faculty of Education, Electronic Journal of Science and Mathematics Education. 9(1), 275–307.
- Esen, Y. (2013). Development of a test for assessing teachers’ mathematical content knowledge for teaching geometric measurement at elementary grade level (Doctoral dissertation, Middle East Technical University, Ankara, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Fennema,E., & Franke M. L. (1992). Teachers’ knowledge and its impact. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 147-164.) New York: Macmillan.
- Gess-Newsome, J. (1999). Pedagogical content knowledge: An introduction and orientation to the nature, sources and development of pedagogical content knowledge for science teaching. In J. Gess-Newsome & N. G. Lederman (Eds.), Examining pedagogical content knowledge: The construct and its implications for science education (pp. 3–17). Boston, MA: Kluwer.
- Gough, D., Oliver, S. & Thomas, J. (2012). An introduction to systematic reviews. London England: Sage
- Grossman, P. L. (1990). The making of a teacher: Teacher knowledge and teacher education. Teachers College Press, Teachers College, Columbia University
- Grossman, P. (1990). The making of a teacher .New York, NY: Teachers College Press.
- Gökbulut, Y. (2010). Sınıf öğretmeni adaylarının geometrik cisimler konusundaki pedagojik alan bilgileri [Classroom pre-service teachers’ pedagogical content knowledge of geometric objects] (Unpublished Master’s thesis, Gazi University, Ankara, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Gökkurt, B., Şahin, Ö., Soylu, Y., & Doğan, Y. (2015). Öğretmen Adaylarının Geometrik Cisimler Konusuna İlişkin Öğrenci Hatalarına Yönelik Pedagojik Alan Bilgileri [Teacher candidates’ pedagogic knowledge of student misconceptions related to the subject of geometric objects]. İlköğretim Online, 14(1), 55–71.
- Güler, M. (2014). Öğretmen adaylarının matematik öğretme bilgilerinin incelenmesi: cebir örneği [Investigation of pre-service teachers knowledge of mathematics teaching: The example of algebra] (Master’s thesis, Karadeniz Technical University, Trabzon, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Hacıömeroğlu, G. (2013). Sınıf öğretmeni adaylarının öğretim için matematiksel bilgisi: öğrencilerin toplama ve çıkarma işlemlerine ilişkin çözümlerinin analizi [Pre-service teachers knowledge of mathematics for teaching: Analysis of solutions related to students’ addition and subtraction]. Educational and Science, 38(168), 332–346.
- Hill, H.C, Ball, D. L., & Schilling, S. G. (2008). Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers‘ topic-specific knowledge of students. Journal for Research in Mathematics Education, 39 (4), 372–400.
- Hill, H., C., Rowan, B., & Ball, D. L. (2005). Effects of teachers’ mathematical knowledge for teaching on student achievement. American Educational Research Journal, 42 (2), 371–406.
- Işıksal Bostan, M. Ve Osmanoğlu, A. (2016). Pedagojik alan bilgisi [Pedagogical content knowledge]. E. Bingölbali, S. Arslan ve İ. Ö. Zembat, (Ed.), Matematik Eğitiminde Teoriler [Theories in Mathematics Education] (pp.678-699). Ankara: Pegem Akademi.
- Kovarik K (2008). Mathematics Educators' and Teachers' Perceptions of Pedagogical Content Knowledge (Doctoral Dissertation, Columbıa Unıversıty, The Executive Committee of the Graduate School of Arts and Sciences, USA).
- Köklü, O. (2008). Teachers’ content knowledge in teaching slope of a line (Master’s thesis, Boğaziçi University, İstanbul, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Kula, S. (2011). Investigating mathematics pre-service teachers’ knowledge of area through the model of four knowing and their knowledge of teaching area: the example of limi. (Master’s thesis, Dokuz Eylül University, İzmir, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Lannin, J. K., Barker, D. D., & Townsend, B. E. (2006). Recursive and explicit rules: How can we build student algebraic understanding?. Journal of Mathematical Behavior, 25, 299- 317.
- Lesseig, K. (2016). Investigating mathematical knowledge for teaching proof in professional development. International Journal of Research in Education and Science (IJRES), 2(2), 253-270. doi: http://.dx.doi.org/10.21890/ijres.13913
- Liberati, A., Altman, D. G., Tetzlaff, J., Mulrow, C., Gøtzsche, P. C., Ioannidis, J. P. A. Clarke, P., Devereaux, J., Kleijnen, D., Moher, D. (2009). The PRISMA statement for reporting systematic reviews and meta-analyses of studies that evaluate health care interventions: explanation and elaboration. Journal of Clinical Epidemiology, 62, 1-34.
- Magnusson, S., Krajcik, L., & Borko, H. (1999). Nature, sources and development of pedagogical content knowledge. In J. Gess-Newsome & N. G. Lederman (Eds.), Examining pedagogical content knowledge (pp. 95–132). Dordrecht, The Netherlands: Kluwer.
- Marshall, C. & Rossman, G.B. (2006). Designing qualitative research (Fourth edition). California: Sage Publications.
- Marks, R. (1990). Pedagogical content knowledge: From a mathematical case to a modified conception. Journal of teacher education, 41(3), 3-11.
Miles, M, B.,& Huberman, A. M. (1994). Qualitative data analysis: An expanded Sourcebook. (2nd ed). Thousand Oaks, CA: Sage.
- Park, S., & Oliver, J. S. (2008). Revisiting the conceptualization of pedagogical content knowledge (PCK): PCK as a conceptual tool to understand teachers as professionals. Research in Science Education , 38 , 261–284.
- Rowland, T., Turner, F., Thwaites, A. and Huckstep, P. (2009). Developing primary mathematics teaching: Reflecting on practice with the Knowledge Quartet. London: Sage.
- Sayın, V., Uluçınar Sağır, Ş. ve Ermiş, M. (2021). Türkiye’de 2015-2020 yılları arasında pedagojik alan bilgisi ile ilgili lisansüstü tezlerin incelenmesi [Investigation of Postgraduate Theses About The Pedagogical Content Knowledge in Turkey Between The Years 2015-2020] Gazi Üniversitesi Gazi Eğitim Fakültesi Dergisi, 41(1), 379-413.
- Sezer, E. (2012). Matematik öğretimi dersi kapsamında kullanılan yazma etkinliklerinin sınıf öğretmeni adaylarının kesirler konusuna ilişkin pedagojik alan bilgilerine etkisinin incelenmesi [Examining the effects of writing activities used in the scope of teaching mathematics on preservice teachers’ pedagogical content knowledge] (Master’s thesis, Hacettepe University, Ankara, Turkey). Retrieved from https://tez.yok.gov.tr/UlusalTezMerkezi/
- Stacey, K., & Chick, H. (2004). Solving the problem with algebra. In The Future of the Teaching and Learning of Algebra, The 12 th ICMI Study (pp. 1-20). Springer Netherlands.
- Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14.
- Shulman, L. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57(1), 1-23.
- Şahin, Ö., Erdem, E., Başıbüyük, K., Gökkurt, B., & Soylu, Y. (2014). Ortaokul matematik öğretmenlerinin sayılarla ilgili pedagojik alan bilgilerinin gelişiminin incelenmesi [Developing middle school pre-service teachers’ pedagogical content knowledge related to facts and figures]. Turkish Journal of Computer and Mathematics Education, 5(3), 207–230.
- Şimşek, N. & Boz, N. (2016). Analysis of pedagogical content knowledge studies in the context of mathematics education in Turkey: A meta-synthesis study. Kuram ve Uygulamada Eğitim Bilimleri, 16(3), 799-826.
- Yıldırım, A., ve Şimşek, H. (2013). Sosyal bilimlerde araştırma yöntemleri [Research methods in social sciences] (Extended 9th Edition). Ankara: Seçkin Yayıncılık.