Ömer Şahin, Yasin Soylu


Explanatory-confirmatory research design, one of the mixed methods research designs, was used in this study to investigate content knowledge (CK) developments of prospective teachers regarding algebra. Cross-sectional study method, as a type of descriptive research and one of the non-experimental research designs, was used to collect quantitative data in the study. In the qualitative part of the study, case study was used. The participants of the study were composed of 176 prospective teachers studying in the elementary mathematics education department of a university in Turkey, who were first, second, third, and fourth year students with equal numbers. Interview, observation and knowledge test for algebra were used as the instruments for the purpose of study. One way ANOVA test was used to compare the means of the total scores of the prospective teachers obtained from Algebra Content Knowledge Test (ACKT) since ACKT score are normally distributed. According to the results of the study, it was observed that knowledge levels of the prospective teachers have developed as directly proportional depending on the class level. This development continued during the passing from second year to third year while it decelerates. In spite of this, it was observed that the development of CK accelerated again in the fourth year. In addition, it was also observed that the knowledge of prospective teachers in terms of CK was not at the desired level. 


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pedagogical content knowledge, preservice teacher, content knowledge, algebra


Akkaya, R. ve Durmuş, S. (2015). The effectiveness of worksheets on overcoming misconceptions related to algebra learning domain of sixth grade elementary school students. Dumlupınar University Journal of Social Sciences, 27 (27).

Altun, M. (2013). Elementary mathematics education (5th, 6th, 7th and 8th grades). 9th edition, Bursa: Aktüel Publication.

Aydın, S. & Boz, Y. (2012). Review of studies related to pedagogical content knowledge in the context of science teacher education: Turkish case. Educational sciences. Theory & Practice - 12(1), 497-505.

Baki, M. (2012). Investigating development of prospective primary teachers' mathematical pedagogical content knowledge: lesson study. Unpublished doctoral dissertation, Karadeniz Technical University.

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.

Baş, S., Erbaş, A. K. and Çetinkaya, B.,. (2011). Teachers’ knowledge about ninth grade students’ ways of algebraic thinking. Education and Science, 36 (159), 41-55.

Baumert, J., Kunter, M., Blum, W., Brunner, M., Voss, T., Jordan, A., & Tsai, Y. M. (2010). Teachers’ mathematical knowledge, cognitive activation in the classroom, and student progress. American Educational Research Journal, 47 (1), 133-180.

Black, D. J. W. (2007). The relationshıp of teachers’ content knowledge and pedagogical content knowledge in algebra, and changes in both types of knowledge as a result of professional development, Doctoral Dissertation, Auburn University, USA.

Borko, H., Eisenhart, M., Brown, C. A., Underhill, R. G., Jones, D., & Agard, P. C. (1992). Learning to teach hard mathematics: Do novice teachers and their instructors give up too easily? Journal for Research in Mathematics Education, 23, 194–222.

Bütün, M. (2012). The development of pedagogical content knowledge of preservice mathematics teachers in the process of applied enriched program. Unpublished doctoral dissertation, Karadeniz Technical University.

Cleophas, T. J., & Zwinderman, A. H. (2015). SPSS for Starters and 2nd Levelers. Second Edition.

Creswell, J. W. (2011). Educational research: planning, conducting, and evaluating quantitative and qualitative research (4th Ed). Pearson Publications,Inc.

Dede, Y. ve Argün, Z. (2003). Why do students have difficulty with algebra?Hacettepe University Journal of Education, 24, 180-185.

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.

Denscombe, M. (2010). The good research guide: for small-scale social research projects. 4th Edition, Open University Press.

Dönmez, G. (2009). Assessment of pre- servıce mathematics teachers ‘pedagogical content knowledge about limit and continuity. Master Thesis, , Marmara University.

Eraslan, A. (2009). Prospective mathematics teachers’ opinions on ‘teaching practice’. Necatibey Faculty of Education Electronic Journal of Science and Mathematics Education, 3(1), 207-221.

Gökbulut, Y. (2010). Prospective primary teachers’ pedagogical content knowledge about geometric shapes. Unpublished doctoral dissertation, Gazi University.

Gökkurt, B., Şahin, Ö., Soylu, Y. And Doğan, Y. (2015). Pre-service teachers’ pedagogical content knowledge regarding student mistakes on the subject of geometric shapes. Elementary Education Online, 14 (1), 55-71.

Grossman, P. L. (1990). The making of a teacher: Teacher knowledge and teacher education. Teachers College Press, Teachers College, Columbia University.

Hacıömeroğlu, G. (2005). Prospective secondary teachers’ subject matter knowledge and pedagogıcal content knowledge of the concept of function, Doctoral Dissertation, The Florida State University, USA.

Hashweh, M.Z. (1987). Effects of subject matter knowledge in the teaching of Biology and Physics. Teaching and Teacher Education, 3 (2),109-120.

Işıksal, M. (2006). A study on pre-service elementary mathematics’ subject matter knowledge and pedagogical content knowledge regarding the multiplication and division of fractions. Unpublished doctoral dissertation, Middle East Technical University, Department of Secondary Science and Mathematics Education.

Jenkins, O. F. (2010). Developing teachers’ knowledge of students as learners of mathematics through structured interviews. J Math Teacher Educ, 13,141–154.

Käpyla, M., Heikkinen, J.P. ve Asunta, T. (2009). Influence of content knowledge on pedagogical content knowledge: The case of teaching photosynthesis and plant growth. International Journal of Science Education, 31(10), 1395–1415.

Kleickmann, T., Richter, D., Kunter, M., Elsner, J., Besser, M., Krauss, S. and Jürgen Baumert, J. (2013). Teachers’ content knowledge and pedagogical content knowledge: the role of structural differences in teacher education. Journal of Teacher Education 64(1) 90–106.

Kwong, C. W., Joseph, Y. K. K., Eric, C. C. M. & Khoh, L.T. S. (2007). Development of mathematics pedagogical content knowledge in student teachers. The Mathematics Educator, 10 (2), 27-54.

Loughran, J., Berry, A., & Mulhall, P. (2006). Understanding and developing science teachers’ pedagogical content knowledge. Rotterdam, The Netherlands: Sense Publishers.

Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers’ understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Erlbaum.

Marks, R. (1990). Pedagogical content knowledge: from a mathematical case to a modified conception. Journal of Teacher Education, 41, 3-11.

Mcmillian, H. J. & Schumacher, S. (2010). Research in education. Boston, USA: Pearson Education.

Menon, R. (2009). Pre-service teachers’ subject matter knowledge of mathematics. International Journal for Mathematics Teaching and Learning. [online]. Available from: [Accessed on 25 April 2009]

Park, S., & Oliver, J. S. (2008). Revisiting the conceptualisation of pedagogical content knowledge (PCK): PCK as a conceptual tool to understand teachers as professionals. Research in Science Education, 38 (3), 261-284.

Philipp, R. A. (1992). The many uses of algebraic variables, the mathematics teacher. 85 (7), 557-561.

Seviş, Ş. (2008). The effects of a mathematics teaching methods course on pre-service elementary mathematics teachers’ content knowledge for teaching mathematics. Master degree, Middle East Technical University, Ankara.

Stacey, K. and MacGregor, M. (1997). Ideas about symbolism that students bring to algebra. The Mathematics Teacher, 90 (2), 110-113.

Stacey, K., Helme, S., Steinle, V., Baturo, A., Irwin, K., & Bana, J. (2001). Preservice teachers' knowledge of difficulties in decimal numeration. Journal of mathematics teacher education, 4(3), 205-225.

Shulman L. (1986). Paradigms and research programs in the study of teaching: a contemporary perspective. In M, Wittrock (Ed.), Handbook of Research on Teaching. NY: Macmillian Publishing Company.

Shulman, L. S. (1987). Knowledge and teaching: foundation of the new reform. Harvard Educational Review, 57 (1), 1-21.

Smith, D. C, & Neale, D. C. (1989). The construction of subject matter knowledge in primary science teaching. Teaching and Teacher Education,5, 1-20.

Stephens, A. C. (2006). Equivalence and relational thinking: preservice elementary teachers’ awareness of opportunities and misconceptions. Journal of Mathematics Teacher Education, 9,249–278.

Şahin, Ö. & Soylu, Y. (2011). Mistakes and misconceptions of elementary school students about the concept of ‘variable. Procedia Social and Behavioral Sciences, 15, 3322–3327.

Şahin, Ö. Erdem, E., Başıbüyük, K., Gökkurt, B., & Soylu, Y. (2014). Examining the development of secondary mathematics teachers’ pedagogical content knowledge on numbers. Turkish Journal of Computer and Mathematics Education, 5(3), 207-230.

Tamir, P. (1988). Subject matter and related pedagogical knowledge in teacher education. Teaching and Teacher Education, 4(2), 99-110.

Tanışlı, D. & Köse, N. Y. (2013). Pre-service mathematic teachers’ knowledge of students about the algebraic concepts. Australian Journal of Teacher Education, 38 (2).

Toluk-Uçar, Z. (2011). Preservice teachers’ pedagogical content knowledge: instructional explanations. Turkish Journal of Computer and Mathematics Education, 2(2), 87-102.

Türnüklü, E. B. (2005). The relationship between pedagogical and mathematical content knowledge of pre-service mathematics teachers. Euroasian Journal of Educational Research, 21, 234–247.

Ususkin, Z. (1995). Why algebra is important to learn? American Educator, 19 (1), 30-37.

Welder, R. M. (2007). Preservice elementary teachers’ mathematical content knowledge of prerequısite algebra concepts, Doctoral Dissertation, Montana State University, USA.

Wright, T. D. (2009). Investigating teachers’ perspectives on the ımpact of the lesson study process on their mathematical content knowledge, pedagogical knowledge, and the potential for student achievement, Doctoral Dissertation, University of New Orleans, USA.

Yıldırım, A. ve Şimşek, H. (2011). Qualitative research methods in social sciences. 8th ed. Ankara: Seçkin Publication.


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