Ball, D. (1993). With an eye on the mathematical horizon: Dilemmas of teaching elementary school mathematics. The Elementary School Journal, 93(4), 373-397. https://doi.org/10.1086/461730
Bleiler, S., Ko, Y. Y., Yee, S. P., & Boyle, J. D. (2015). Communal development and evolution of a course rubric for proof writing. Annual perspectives in mathematics education: Assessment to enhance teaching and learning, 97–108.
Chapman, O. (1999). Inservice teacher development in mathematical problem solving. Journal of Mathematics Teacher Education, 2, 121-142. https://doi.org/10.1023/A:1009980911674
Clark, C. M., & Lampert, M. (1986). The study of teacher thinking: Implications for teacher education. Journal of Teacher Education, 37(5), 27-31. https://doi.org/10.1177/002248718603700506
Clark, C., & Peterson, P. (1984). Teachers’ thought processes. In M. C. Wittrock (Ed.), Handbook of research on teaching 3rd ed. pp. 255-296. Macmillan.
Collier-Reed, B. I., & Ingerman, Å. (2013). Phenomenography: From critical aspects to knowledge claim. In Doing qualitative research: The craft of naturalistic inquiry pp. 129–140. Routledge.
Cramer, K., Post, T., & del Mas, R. (2002). Initial fraction learning by fourth- and fifth-grade students: A comparison of the effects of using commercial curricula with the effects of using the rational number project curriculum. Journal for Research in Mathematics Education, 33(2), 111-144. https://doi.org/10.2307/749646
Entwistle, N. (1997). Introduction: Phenomenography in higher education. Higher Education Research & Development, 16(2), 127-134. https://doi.org/10.1080/072943697016020
Evans, R. (1989). Teacher conceptions of student problem-solving. Journal of Mathematics Education, 20(3), 225-232. https://doi.org/10.1007/BF00312806
Fang, Z. (1996). A review of research on teacher beliefs and practices. Educational Research, 38(1), 47-65. https://doi.org/10.1080/0013188960380104
Gonzalez Thompson, D. (1984). Teacher understanding and use of mathematical problem solving. Journal for Research in Mathematics Education, 15(2), 95-107. https://doi.org/10.2307/748987
Herbel-Eisenmann, B., Drake, C., & Cirillo, M. (2009). “Muddying the clear waters”: Teachers’ take-up of the linguistic idea of revoicing. Teaching and Teacher Education, 25(2), 268–277. https://doi.org/10.1016/j.tate.2008.07.004
Hiebert, J., & Carpenter, T. P. (1992). Learning and teaching with understanding. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning pp. 65–97. Macmillan.
Holincheck, N., & Galanti, T. (2022). Teachers’ beliefs about mathematical problem solving: Implications for professional development. Journal of Mathematics Teacher Education, 25, 189-206. https://doi.org/10.1007/s10857-021-09482-3
Kane, R., Sandretto, S., & Heath, C. (2002). Telling Half the Story: A Critical Review of Research on the Teaching Beliefs and Practices of University Academics. Review of Educational Research, 72(2), 177–228. https://doi.org/10.3102/00346543072002177
Kasmer, L., & Kim, O. (2012). The nature of predictions made by middle school students in mathematical tasks. Educational Studies in Mathematics, 79(1), 133-147. https://doi.org/10.1007/s10649-011-9336-5
Kinnunen, P., & Simon, B. (2012). Phenomenography and grounded theory as research methods in computing education research field. Computer Science Education, 22(2), 199-218. https://doi.org/10.1080/08993408.2012.692928
Ko, Y. (2010). Mathematics teachers’ conceptions of proof: Implications for educational practice. Journal of Education and Practice, 1(1), 19-29. https://doi.org/10.1007/s10763-010-9235-2
Lampert, M. (1985). How do teachers manage to teach? Perspectives on problems in practice. Harvard Educational Review, 55(2), 178–194. https://doi.org/10.17763/haer.55.2.56142234616x4352
Lampert, M. (1991). Teaching problems and the problems of teaching. Yale University Press.
Lepak, J. (2014). Enhancing Students’ Written Mathematical Arguments. Mathematics Teaching in the Middle School, 20(4), 212-219.
Martin, L., & Towers, J. (2016). The practice of theorizing in teacher education. Educational Studies in Mathematics, 93(1), 87-102. https://doi.org/10.1007/s10649-016-9718-8
Nisbet, S., & Warren, E. (2000). Primary school teachers’ beliefs relating to mathematics teaching and assessing. Mathematics Education Research Journal, 12(1), 34-47. https://doi.org/10.1007/BF03217073
Orrill, C. H., & Kittleson, J. (2015). Conceptualizing connection making as the construction of a coherent understanding. Journal of Mathematics Teacher Education, 18(1), 1-20. https://doi.org/10.1007/s10857-013-9261-8
Pirie, S. E. B., & Kieren, T. E. (1988). A recursive theory of mathematical understanding. For the Learning of Mathematics, 8(1), 7-11.
Pirie, S. E. B., & Kieren, T. E. (1992). Watching Sandy’s understanding grow. Journal of Mathematical Behavior, 11(3), 243-257.
Pirie, S. E. B., & Kieren, T. E. (1994a). Growth in mathematical understanding: How can we characterize it and how can we represent it? Educational Studies in Mathematics, 26(2-3), 165-190. https://doi.org/10.1007/BF01273662
Pirie, S. E. B., & Kieren, T. E. (1994b). Beyond metaphor: Formalizing in mathematical understanding within constructivist environments. For the Learning of Mathematics, 14(1), 39-43.
Rittle-Johnson, B., & Star, J. R. (2007). Does comparing solution methods facilitate conceptual and procedural knowledge? An experimental study on learning to solve equations. Journal of Educational Psychology, 99(3), 561-574. https://doi.org/10.1037/0022-0663.99.3.561
Russo, J., Bobis, J., & Downton, A. (2020). Exploring the mathematical problem-solving beliefs of Australian pre-service elementary teachers. Journal of Mathematics Teacher Education, 23, 531-552. https://doi.org/10.1007/s10857-019-09447-y
Sato, M., & Takahashi, A. (2004). Establishing learning community through lesson study. In Proceedings of the NCTM research pre-session (pp. 126–139). National Council of Teachers of Mathematics.
Sawada, T. (1996). Developing mathematical thinking in the classroom: A Japanese perspective. National Center for Improving Science Education. https://doi.org/10.1007/s11858-007-0052-1
Schoenfeld, A. H. (2014). Mathematical problem solving. Academic Press.
Smith, M. S., & Stein, M. K. (2018). 5 practices for orchestrating productive mathematics discussions. NCTM.
Star, J. R., Newton, K. J., Pollack, C., Kokka, K., Rittle-Johnson, B., & Durkin, K. (2015). The development of flexibility in equation solving. Contemporary Educational Psychology, 41, 45-59. https://doi.org/10.1016/j.cedpsych.2014.10.003
Takahashi, A. (2011). Japanese lesson study: Teacher professional development through communities of inquiry. Mathematics Teacher Education and Development, 13(1), 3-18.
The National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. NCTM.
Tsui, A. B. M. (2003). Understanding expertise in teaching: Case studies of second language teachers. Cambridge University Press. https://doi.org/10.1017/CBO9781139524698
Wright, P. (2014). Supporting mathematical thinking through anticipatory strategies. Mathematics Teacher Education and Development, 16(1), 54-70.
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