nvestigation Relations between the Technological Pedagogical Content Knowledge Efficacy Levels and Self-Efficacy Perception Levels of Pre-Service Mathematics Teachers

The purpose of the study is to determinerelationships between the pre-service math teachers’ TPACK efficacy and self-efficacy perception levels. In the study it was focused on the polygons one of the geometry subjects,and pre-serviceteachers’ Content Knowledge(CK),PedagogicalContentKnowledge(PCK),TechnologicalContent Knowledge (TCK), and Technological Pedagogical ContentKnowledge (TPACK) levels were examined. Correlationalresearch approach was used in theresearch. The participants composed of 88 pre-serviceteachers who were attendedin Special Teaching Methods II course. In order to evaluate the pre-serviceteachers’CK, PCK, TCK, TPACK efficacy levels in the collection of data, Multiple Choice Achievement Test on Polygons, Question Forms, Lesson Plan Preparation Method and Participant Report were used. AlsoTPACK Regarding Geometry Instrument was used to evaluate pre-serviceteachers’ TPACK self-efficacy levels.In conclusionaccording to the results obtained from different data sources in the study, for the TPACK efficacy scores and self-efficacy scores there is no statistically significant relation for both pre-test and post-test.

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Abbitt, J. and Klett, M. (2007). Identifying influences on attitudes and self-efficacy beliefstowards technologyintegration among pre-service educators. Electronic Journal for the Integration of Technology inEducation, 6, 28-42.
Abbitt, J. T. (2011a). An investigation of the relationship between self-efficacy beliefs about technology integration and Technological Pedagogical Content Knowledge (TPACK) among preservice teachers. Journal of Digital Learning in Teacher Education, 27(4), 134-143.
Abbitt, J. T. (2011b). Measuring Technological Pedagogical Content Knowledge inpreservice teacher education: A review of current methods and instruments. Journal of Research on Technology in Education, 43(4), 281–300.
Abdi, H. (2010). Holm's sequential bonferroni procedure. In N. Salkind (Eds.), Encyclopedia of research design (pp. 1–8). Thousand Oaks, CA: Sage.
Açıkgül, K. (2012). The investigation of pre-serviceteachers? problem solving processes on locus problems by dynamic geometry softwareand their opinions on the processes.Master thesis, İnönü University, Malatya.
Açıkgül, K. and Aslaner, R. (2015). Investigation of TPACK confidence perception of pre-serviceelementary mathematics teachers. Erzincan University Journal of Education Faculty, 17(1), 118-152.
Agyei, D. D. and Keengwe, J. (2014). Using Technological Pedagogical Content Knowledge development to enhance learning outcomes. Education and Information Technologies, 19, 155–171.
Agyei, D. and Voogt, J. (2012). Developing technological pedagogical content knowledge in pre-service mathematics teachers, through collabarative design teams. Australasian Journal of Educational Technology, 28(4), 547-564.
Akkoç, H. (2011). Investigating the development of pre-servicemathematics teachers' Technological Pedagogical Content Knowledge. Research in Mathematics Education, 13(1), 75-76.
Akyüz, D. (2018). Measuring technological pedagogical content knowledge (TPACK) through performance assessment. Computers & Education, 125, 212-225.
Alayyar, G., Fisser, P., and Voogt, J. (2012). Developing Technological Pedagogical Content Knowledge in pre-service science teachers: Support from blended learning. Australasian Journal of Educational Technology, 28(8), 1298-1316.
Alshehri, K. A. (2012). The influenceof mathematics teachers' knowledge in technology, pedagogy and content (TPACK) on their teaching effectiveness in Saudi public schools.Doctoral Dissertation, University of Kansas.
Anderson, J.C. and Gerbing, D.W. (1984). The effect of sampling error on convergence, improper solutions, and goodness-of-fit indices for maximum likelihood confirmatory factor analysis. Psychometrica, 49(2), 155-173.
Aquino, A. B. (2015). Self-efficacy on Technological, Pedagogical and Content Knowledge (TPACK) of biological science pre-service teachers. Asia Pacific Journal of Multidisciplinary Research, 3(4), 150-157.
Archambault, L. and Crippen, K. (2009). Examining TPACK among K-12 online distance educators in the United States. Contemporary Issues in Technology and TeacherEducation, 9(1), 71-88.
Archambault, L. M. and Barnett, J. H. (2010). Revisiting technological pedagogical content knowledge: Exploring the TPCK framework. Computers and Education, 55(4), 1656-1662.
Baran, E. ve Canbazoğlu Bilici, S. (2015). A Review of the research on Technological Pedagogical Content Knowledge: The Case of Turkey. Hacettepe University Journal of Education, 30(1), 15-32.
Baran, E., Chuang, H.H. and Thompson, A. (2011). TPACK: An emerging research and development tool for teacher educators. Turkish Online Journal of Educational Technology -TOJET, 10(4), 370-377.
Brown, T. A. (2006). Confirmatory factor analysis for appliedresearch. New York: Guilford Press.
Bulut, A. (2012). Investigating perceptions of preservice mathematics teachers on their Technological Pedagogical Content Knowledge (TPACK) regarding geometry. Master Thesis, Middle East Technical University, Ankara.
Cameron, A. (2004). Kurtosis. In M. Lewis-Beck, A. Bryman and T. Liao (Eds.). Encyclopedia of social science research methods. (pp. 544-545). ThousandOaks, CA: SAGE Publications, Inc.
Canbazoğlu Bilici, S., Yamak, H., Kavak, N., S. and Guzey, S. (2013) Technological Pedagogical Content Knowledge Self-Efficacy Scale (TPACK-SeS) for pre-service science teachers: Construction, validation and reliability. Eurasian Journal of Education Research, 52, 37-60.
Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ: Erlbaum.
Davis, L.L.(1992). Instrument review: Getting the most from a panel of experts. Applied Nursing Research, 5(4), 194-197.
Deliceoğlu, G. (2009). The comparison of the reliabilities of the soccer abilities?rating scale based on the classical test theory and generalizability. Doctoral diseertation, Ankara University, Ankara.
Ebel, R. L. and Frisbie, D. A. (1986). Essentials of educational measurement. Englewood Cliffs, NJ: Prentice-Hall.
Erdoğan, A. and Şahin, I. (2010). Relationship between math teacher candidates’ Technological Pedagogical and Content Knowledge (TPACK) and achievement levels. Procedia Social and Behavioral Sciences, 2(2), 2707-2711.
Erez, M. M. and Yerushalmy, M. (2006).“If you can turn a rectangle into a square, you can turn a square into a rectangle ...” young students experience the dragging tool. International Journal of Computers for Mathematical Learning, 11(3), 271-299.
Fraenkel, J., Wallen, N. and Hyun, H.H. (2012). How to design andevaluate research in education(8th ed.). Boston: McGraw Hill.
Field, A. (2005). Discovering statistics using SPSS(2nd ed.). London: Sage.
Graham, C. R.(2011). Theoretical considerations for understanding Technological Pedagogical Content Knowledge (TPACK). Computers and Education, 57(3), 1953-1960.
Graham, C. R., Burgoyne, N., Cantrell, P., Smith, L., St. Clair, L. and Harris, R. (2009). TPACK development in science teaching: Measuring the TPACK confidence of inservice science teachers. TechTrends, Special Issue on TPACK, 53(5), 70-79.
Habre, S. and Grundmeier T. A. (2007). Pre-servicemathematics teachers’ views on the role of technology in mathematics education. The Journal, 3, 1-10.
Hair, J. F. Jr., Black, W. C., Babin, B. J., Anderson, R. E., and Tatham, R. L. (2006). Multivariate data analysis (6th ed.). Upper Saddle River, NJ: Pearson/Prentice Hall.
Harris, J., Grandgenett, N. and Hofer, M. (2010). Testing a TPACK-based technology integration assessment rubric. In C. Crawford, D. A. Willis, R. Carlsen, I. Gibson, K. McFerrin, J. Price and R. Weber (Eds.), Proceedings of the Society for Information Technology and Teacher Education International Conference 2010(pp. 3833–3840). Chesapeake, VA: AACE.
Harris, J., Mishra, P. and Koehler, M. (2009). Teachers’ Technological Pedagogical Content Knowledge and learning activity types: Curriculum-based technology integration reframed. Journal of Research on Technology in Education, 41(4), 393-416.
Hingorjo, M. R. and Jaleel, F. (2012). Analysis of one-best MCQs:the difficulty index, discrimination index and distractor efficiency. JPMA-Journal of the Pakistan Medical Association, 62(2), 142-147.
Holmes, K. (2009). Planning to teach with digital tools: Introducing the IWB to pre-service secondary mathematics teachers. Australasian Journal of Educational Technology, 25(3), 351-365.
Hooper, D., Coughlan, J. and Mullen, M. R. (2008). Structural equation modelling: guidelines for determining model fit. The Electronic Journal of Business Research Methods, 6(1), 53-60.
Jang, S.J., and Tsai, M.F. (2012). Exploring the TPACK of Taiwanese elementary mathematics and science teachers with respect to use of interactive whiteboards. Computers and Education, 59(2), 327-338.
Jones, K. (2001), Learning geometrical concepts using dynamic geometry software. In: Kay Irwin (Ed), Mathematics Education Research: A catalyst for change.Auckland: University of Auckland, p. 50-58.
Keser, H., Karaoğlan Yılmaz, F. G., & Yılmaz, R. (2015). TPACK competencies andtechnology integrationself efficacy perceptions of pre-service teachers. Elementary Education Online, 14(4), 1193-1207.
Kline, R. B. (2011). Principles and practice of structural equation modeling(3rd ed.). New York: Guilford Press.
Koehler, M. J. and Mishra, P. (2005). What happens when teachers design educational technology? The development of Technological Pedagogical Content Knowledge. Journal ofEducational Computing Research,32(2), 131-152.
Koehler, M. J. and Mishra, P. (2009). What is technological pedagogical content knowledge? Contemporary Issues in Technology and Teacher Education, 9(1), 60-70.
Koehler, M. J., Shin, T. S., and Mishra, P. (2012). How do we measure TPACK? Let me count the ways. In R. N. Ronau, C. R. Rakes, and M. L. Niess (Eds.), Educational technology, teacher knowledge, and classroom impact: A research handbook on frameworks and approaches(pp. 16-31).
Kopcha, T. J., Ottenbreit-Leftwich, A., Jung, J., & Baser, D. (2014). Examining the TPACK framework through the convergent and discriminant validity of two measures. Computers & Education, 78, 87–96.
Kordaki, M. and Balomenou, A. (2006). Challenging students to view the concept of area in triangles in a broader context: Exploiting the tools of Cabri II. Ιnternational Jοurnal of Computers for Mathematical Learning, 11(1), 99-135.
Laborde, C. (2003). Technology used as a tool for mediating knowledge in the teaching of mathematics: the case of Cabri-geometry. Proceedings of 8th. ACTM, Chung Hua University, Hsinchu, Taiwan, R.O.C.
Lai, K. and White, T. (2012). Exploring quadrilaterals in a small group computing environment. Computers and Education, 59(3), 963–973.
Leung, A. (2008). Dragging in a dynamic geometry environment throughthe lens of variation. Int J Comput Math Learning, 13, 135–157.
Lyublinskaya, I. and Tournaki, N. (2015). Examining the relationship between self and external assessment of TPACK of pre-service special education teachers. Research Highlights in Technologyand Teacher Education 2015, 29-36.
Mariotti, M. A. (2000). Introduction to proof: The mediation of a dynamic software environment. Educational Studies in Mathematic, 44, 25–53.
Mishra, P. and Koehler, M.J. (2006). Technological Pedagogical Content Knowledge: A framework for integrating technology in teacher knowledge. Teachers College Record, 108(6), 1017-1054.
Nathan, E. J. (2009). An examination of the relationshıp between preservice teachers' level of Technology Integration Self-Efficacy (TISE) and level of Technologıcal Pedagogical Content Knowledge (TPACK). Doctoral dissertation, University of Houston.
National Council of Teachers of Mathematics (NCTM) (2000). Curriculum and evaluation standards for school mathematics.http://www.nctm.org/standards.htm Accessed 10 May 2011.
Niess, M. L. (2005). Preparing teachers to teach science and mathematics with technology: Developing a technology pedagogical content knowledge. Teaching and Teacher Education, 21, 509–523.
Niess, M. L., Ronau, R. N., Shafer, K. G., Driskell, S. O., Harper S. R., Johnston, C., Browning,C.,ÖzgünKoca, S. A., and Kersaint, G. (2009). Mathematics teacher TPACK standards and development model.Contemporary Issues in Technology and Teacher Education, 9(1), 4–24.
Niess, M. L., Van Zee,E. H. and Gillow-Wiles, H. (2010). Knowledge growth in teaching mathematics/science with spreadsheets: Moving PCK to TPACK through online professional development. Journal of Digital Learning in Teacher Education, 27(2), 42-52.
Schmidt, D. A., Baran, E., Thompson, A. D., Mishra, P., Koehler, M. J. and Shin, T. S. (2009). Technological Pedagogical Content Knowledge (TPACK): The development and validation of an assessment instrument for preservice teachers. Journal of Research on Technology in Education, 42(2), 123-149.
Shevlin, M. and Miles, J. N. V. (1998). Effects of sample size, model specification and factor loadings on the GFI in confirmatory factor analysis. Personality and Individual Differences, 25(1), 85-90.
So, H. J. and Kim, B. (2009). Learning about problem based learning: Student teachers integrating technology, pedagogy and content knowledge. Australasian Journal of Educational Technology, 25(1), 101–116.
Spazak, L. (2013). Secondary preservice teachers’ perception of preparedness to integrate technology.Doctoral dissertation, Indiana University of Pennsylvania, United States.
Straesser, R. (2001). Cabrı-géomètre: Does Dynamıc Geometry Software (DGS) change geometry and ıts teaching and learning? International Journal of Computers for Mathematical Learning, 6, 319–333.
Şad, N., Açıkgül, K. and Delican, K. (2015). Senior preservice teachers’ senses of efficacy on their TechnologicalPedagogical Content Knowledge. Journal of Theoretical Educational Science, 8(2), 204-235.
Tabachnick, B. G. and Fidell, L. S. (2007). Using multivariate statistics(5th Ed.). Thousand Oaks, CA: Sage Publications.
Wang, L., Ertmer, P. A. and Newby, T. J. (2004). Increasing preservice teachers’ self-efficacy beliefs for technology integration. Journal of Research on Technology in Education, 36(3), 231-250.
Wells, C. S. and Wollack, J. A. (2003). An Instructor’s Guide to Understanding Test Reliability. Testing and Evaluation Services. University of Wisconsin.https://testing.wisc.edu/Reliability.pdf Accessed 15 August 2016.
Van Der Valk, T. A. and Broekman, H. (1999). The lesson preparation method: A way of investigating pre-service teachers’ pedagogical content knowledge. European Journal of Teacher Education, 22(1), 11-22.
Voogt, J., Fisser, P., Pareja Roblin, N., Tondeur, J., & Van Braak, J. (2013). Technological pedagogical content knowledge–a review of the literature. Journal of Computer Assisted Learning, 29(2), 109-121.
Yiğit, M. (2014). A review of the literature: How pre-service mathematics teachers develop their Technological,Pedagogical, And Content Knowledge. International Journal of Education in Mathematics, Science andTechnology, 2(1), 26-35.