References
- An, S., Kulm, G., & Wu, Z. (2004). The pedagogical content knowledge of middle school, mathematics teachers in China and the US. Journal of Mathematics Teacher Education, 7(2), 145-172.10.1023/B:JMTE.0000021943.35739.1c
- Ashlock, R. B. (2002). Error patterns in computation (8th ed.). New York: Merrill.
- Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389-407.10.1177/0022487108324554
- Brodie, K. (2014). Learning about learner errors in professional learning communities. Educational Studies in Mathematics, 85(2), 221-239.10.1007/s10649-013-9507-1
- Cobb, P. (1991). Reconstructing elementary school mathematics. Focus on Learning Problems in Mathematics, 13(2), 3-32.
- Crespo, S. (2000). Seeing more tan right and wrong answers: Prospective teachers’ interpretations of students’ mathematical work. Journal of Mathematics Teacher Education, 3(2), 155-181.10.1023/A:1009999016764
- Creswell, J. W. (2007). Research Design: Qualitative, Quantitative, and Mixed Methods Approaches (2nd ed.). Thousand Oaks, CA: Sage.
- Cuban, L. (1993). How Teachers Taught: Constancy and Change in American Classrooms 1890-1990 (2nd ed.). New York: Teachers College Press.
- Curry, L. A. (2004). The effects of self-explanations of correct and incorrect solutions on algebra problem-solving performance. In K. Forbus, D. Gentner, & T. Regier (Eds.), Proceedings of the Annual Meeting of the Cognitive Science Society, 26(26). Mahwah, NJ: Erlbaum.
- Even, R., & Tirosh, D. (1995). Subject-matter knowledge and knowledge about students as sources of teacher presentations of the subject matter. Educational Studies in Mathematics, 29(1), 1-20.10.1007/BF01273897
- Fennema, E., & Franke, M. L. (1992). Teachers’ knowledge and its impact. In D. A. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning: A Project of the National Council of Teachers of Mathematics (pp. 147-164). New York, NY, England: Macmillan Publishing Co, Inc.
- Fuson, K. C. (1992). Research on whole number, addition and subtraction. In D. A. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning (pp. 243-295). New York: Macmillan Library reference Simon & Schuster Macmillan.
- Große, C. S., & Renkl, A. (2007). Finding and fixing errors in worked examples: Can this foster learning outcomes? Learning and Instruction, 17(6), 612-634.10.1016/j.learninstruc.2007.09.008
- Grossman, P. L. (1990). The Making of a Teacher: Teacher Knowledge and Teacher Education. New York: Teachers College Press, Columbia University.
- Imbo, I., & LeFevre, J. A. (2010). The role of phonological and visual working memory in complex arithmetic for Chinese- and Canadian-educated adults. Memory & Cognition, 38(2), 176-185.10.3758/MC.38.2.176
- Kinach, B. M. (2002). A cognitive strategy for developing pedagogical knowledge in the secondary mathematics methods course: Toward a model of effective practice. Teaching and Teacher Education, 18(1), 51-71.10.1016/S0742-051X(01)00050-6
- Larrain, M., & Kaiser, G. (2019). Analysis of students’ mathematical errors as a means to promote future primary school teachers’ diagnostic competence. Uni-Pluri/Versidad, 19(2), 17-39.10.17533/udea.unipluri.19.2.02
- Lukášová, H., & Pavelková, M. (2017). Pupils’ Questions in Dialogic Teaching from the Perspective of Pedagogical Research. Acta Educationis Generalis, 7(3), 76-87. https://doi.org/10.1515/atd-2017-002510.1515/atd-2017-0025
- Ma, L. (1999). Knowing and Teaching Elementary Mathematics: Teachers’ Understanding of Fundamental Mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum Associates.10.4324/9781410602589
- Merriam, S. B. (1998). Qualitative Research and Case Study Applications in Education. San Francisco: Jossey-Bass.
- Ministry of National Education [MoNE]. (2018). Mathematics Program for Elementary and Middle School. Ankara: Devlet Kitapları Müdürlüğü.
- National Council of Teachers of Mathematics. (2000). Principles and Standards for School Mathematics. Reston, Virginia: National Council of Teachers of Mathematics.
- National Research Council. (2001). Adding It Up: Helping Children Learn Mathematics. Washington, DC: National Academy Press.
- Peng, A., & Luo, Z. (2009). A framework for examining mathematics teacher knowledge as used in error analysis. For the Learning of Mathematics, 29(3), 22-25.
- Resnick, L. B. (1982). Syntax and semantics in learning to subtract. In T. P. Carpenter, J. M. Moser, & T. A. Romberg (Eds.), Addition and Subtraction: A Cognitive Perspective (pp. 136-155). Hillsdale: Erlbaum.
- Riccomini, P. J. (2005). Identification and remediation of systematic error patterns in subtraction. Learning Disability Quarterly, 28(3), 233-242.10.2307/1593661
- Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14.10.3102/0013189X015002004
- Son, J. W. (2013). How pre-service teachers interpret and respond to student errors: Ratio and proportion in similar rectangles. Educational Studies in Mathematics, 84(1), 49-70.10.1007/s10649-013-9475-5
- Son, J. W., & Sinclair, N. (2010). How pre-service teachers interpret and respond to student geometric errors. School Science and Mathematics, 110(1), 31-46.10.1111/j.1949-8594.2009.00005.x
- Tirosh, D. (2000). Enhancing prospective teachers’ knowledge of children’s conceptions: The case of division of fractions. Journal for Research in Mathematics Education, 31(1), 5-25.10.2307/749817
- Trávníčková, P. (2018). An analysis of teacher’s didactical activity in the context of children’s preconception usage. Acta Educationis Generalis, 8(2), 40-53. https://doi.org/10.2478/atd-2018-001010.2478/atd-2018-0010
- Young, R. M., & O’Shea, T. (1981). Errors in children’s subtraction. Cognitive Science, 5(2), 153-177.10.1207/s15516709cog0502_3