Ainley, M., Hidi, S., & Berndorff, D. (2002). Interest, learning, and the psychological processes that mediate their relationship. Journal of educational psychology, 94(3), 545. https://doi.org/10.1037/0022-0663.94.3.545
Becker, J. P., & Shimada, S. (Ed.). (1997). The open-ended approach: A new proposal for teaching mathematics. Reston, VA: National Council of Teachers of Mathematics.
Blum, W. (2011). Can modelling be taught and learnt? Some answers from empirical research. In G. Kaiser,W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning mathematical modelling(pp. 15 -30). New York: Springer. https://doi.org/10.1007/978-94-007-0910-2.
Blum, W., & Niss, M. (1991). Applied mathematical problem solving, modelling, applications, and links to other subjects—State, trends and issues in mathematics instruction. Educational studies in mathematics, 22(1), 37-68. https://doi.org/10.1007/BF00302716
Blum, W., Galbraith, P. L., Henn, H. W., & Niss, M. (Eds.). (2007). Modelling and applications in mathematics education: The 14th ICMI study. Boston, MA: Springer US.
Blum, W., & Leiss, D. (2007). How do students and teachers deal with mathematical modelling problems? The example “Sugarloaf” and the DISUM Project. In C. Haines, P. L. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modelling (ICTMA12) — Education, engineering and economics (pp. 222 – 231). Horwood: Chichester.
Bracke, M., & Geiger, A. (2011). Real-world modelling in regular lessons: A long-term experiment. In Kaiser, G.; Blum, W.; Borromeo Ferri, R.; Stillman, G. (Eds.), Trends in teaching and learning of mathematical modelling (pp. 529-550). New York: Springer.
Brown, S. I., & Walter, M. I. (2005). The art of problem posing. Hillsdale, NJ: Lawrence Erlbaum Associates.
Brooks, J. G., & Brooks, M. G. (1999). In search of understanding: The case for constructivist classrooms. Ascd.
Capar, G., & Tarim, K. (2015). Efficacy of the cooperative learning method on mathematics achievement and attitude: A meta-analysis research. Educational Sciences: Theory and Practice, 15(2), 553-559.
Cevikbas, M., Kaiser, G., & Schukajlow, S. (2024). Trends in mathematics education and insights from a meta-review and bibliometric analysis of review studies. ZDM–Mathematics Education, 56(2), 165-188.
Creswell, J. W., & Creswell, J. D. (2017). Research design: Qualitative, quantitative, and mixed methods approaches (5th ed.). Sage publications.
Ericsson, K. A., Krampe, R. T., & Tesch-Römer, C. (1993). The role of deliberate practice in the acquisition of expert performance. Psychological review, 100(3), 363.
Fierro-Suero, S., Fernández-Ozcorta, E. J., Saénz-López, P., & Almagro, B. J. (2022). Achievement emotions, intention to be physically active, and academic achievement in physical education: Gender differences. Journal of Teaching in Physical Education, 42(1), 114–122. https://doi.org/10.1123/jtpe.2021-0260
Frenzel, A. C., Pekrun, R., Dicke, A. L., & Goetz, T. (2012). Beyond quantitative decline: conceptual shifts in adolescents' development of interest in mathematics. Developmental psychology, 48(4), 1069.
Gholami, M. (2017). The effect of teaching mathematics through multiple-solution strategies on students’ understanding and learning. Master’s thesis, Islamic Azad University, Tehran Central Branch. [In Persian]
Greer, B., Verschaffel, L., & De Corte, E. (2002). “The answer is really 4.5”: Beliefs about word problems. In Beliefs: A hidden variable in mathematics education? (pp. 271-292). Dordrecht: Springer Netherlands.
Galbraith, P., & Stillman, G. (2006). A framework for identifying student blockages during transitions in the modelling process. ZDM, 38(2), 143-162.
Hannula, M. S. (2002). Attitude towards mathematics: emotions, expectations and values. Educational Studies in Mathematics, 49(1), 25-46.
Harackiewicz, J. M., Smith, J. L., & Priniski, S. J. (2016). Interest matters: The importance of promoting interest in education. Policy Insights from the Behavioral and Brain Sciences, 3(2), 220–227.
Hidi, S. (1990). Interest and its contribution as a mental resource for learning. Review of Educational research, 60(4), 549-571.
Hidi, S., & Renninger, K. A. (2006). The four-phase model of interest development. Educational psychologist, 41(2), 111-127.
Hidi, S., Renninger, K., & Krapp, A. (2004). Interest, a motivational variable that combines affective and cognitive functioning.
Hong, J. C., Hwang, M. Y., Huang, H. H., & Lin, P. H. (2016). Basic psychological needs, class-related emotions, and satisfaction with life in Spanish teachers. International Journal of Educational Psychology, 11(2), 153–181. https://doi.org/10.17583/ijep.9106
Krapp, A. (2002). Structural and dynamic aspects of interest development: Theoretical considerations from an ontogenetic perspective. Learning and instruction, 12(4), 383-409.
Levav-Waynberg, A., & Leikin, R. (2012). The role of multiple solution tasks in developing knowledge and creativity in geometry. The Journal of Mathematical Behavior, 31(1), 73-90.
Leikin, R., & Levav-Waynberg, A. (2007). Exploring mathematics teacher knowledge to explain the gap between theory-based recommendations and school practice in the use of connecting tasks. Educational Studies in mathematics, 66(3), 349-371.
McLeod, D. B. (1992). Research on affect in mathematics education: A reconceptualization. In D. A. Grouws (Ed.), Handbook of research on mathematics, teaching and learning (pp. 575–596). New York: Macmillan.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
Niss, M., & Blum, W. (2020). The learning and teaching of mathematical modelling. Routledge.
Parhizgar, Z., Jabbari Noqabi, M., & Alamolhodaei, H. (2020). The effect of teaching mathematical modeling problems on students’ experiences of excitement. Educational Innovations, 19(7), 127–146. [In Persian]
Parhizgar, Z. (2017). Investigating the effect of teaching mathematical modeling problems on students’ flow experience and performance in different mathematics problems, their goal orientation, and their attitudes toward mathematics. PhD dissertation, Ferdowsi University of Mashhad. [In Persian]
Parhizgar, Z., Liljedahl, P. (2019). Teaching Modelling Problems and its Effects on Students' Engagement and Attitude toward Mathematics. In Chamberlin, S. A. & Sriraman, B.(Eds.), Affect in Mathematical Modeling (pp. 235-256). Cham, Springer. https://doi.org/10.1007/978-3-030-04432-9_15
Pekrun, R. (2006). The control-value theory of achievement emotions: Assumptions, corollaries, and implications for educational research and practice. Educational psychology review, 18(4), 315-341.
Pollak, H. O. (1970). Applications of mathematics. In E. G. Begle (Ed.), The sixty-ninth yearbook of the national society for the study of education (pp. 311–334). Chicago: The National Society for the Study of Education.
Rahimi, Z., Talaei, A., Reyhani, A., & Fardanesh, H. (2016). Investigating the effectiveness of teaching with emphasis on multiple solutions on students’ attitudes toward mathematics. Strategies for Medical Education, 9(3), 224–233. [In Persian]
Renninger, K. A. (2000). Individual interest and its implications for understanding intrinsic motivation. In Intrinsic and extrinsic motivation (pp. 373-404). Academic Press.
Saeidi Rashk Aliya, M. (2012). Investigating the level of motivation and self-efficacy of secondary school students in solving different types of mathematics problems. Master’s thesis; abstract published in the Proceedings of the 12th Iranian Mathematics Education Conference, September 3–6, Semnan, Iran. [In Persian]
Slavin, R. E., Hurley, E. A., & Chamberlain, A. (2003). Cooperative learning and achievement: Theory and research. Handbook of psychology: Educational psychology, 7, 177-198.
Scholl, W. (1999). Restrictive control and information pathologies in organizations. Journal of Social Issues, 55(1), 101-118.
Schukajlow, S., Leiss, D., Pekrun, R., Blum, W., Müller, M., & Messner, R. (2012). Teaching methods for modelling problems and students’ task-specific enjoyment, value, interest and self-efficacy expectations. Educational Studies in Mathematics, 79(2), 215–237.
Schukajlow, S., Kaiser, G., & Stillman, G. (2023). Modeling from a cognitive perspective: Theoretical considerations and empirical contributions. Mathematical Thinking and Learning, 25(3), 259–269. https:// doi. org/ 10. 1080/ 10986 065. 2021. 20126 31
Schiefele, U. (2001). Th e role of interest in motivation and learning. In J. M. Collis & S. Messick (Eds.), Intelligence and personality: Bridging the gap in theory and measurement (pp. 163–194). Mahwah, NJ: Erlbaum
Stacey, K. (1995). The challenges of keeping open problem solving open in school mathematics. ZDM The International Journal on Mathematics Education, 27(2), 62–67.
Vygotsky, L. S. (1989). Thought and language. Cambridge, MA: MIT Press.
Zan, R., Brown, L., Evans, J., & Hannula, M. S. (2006). Affect in Mathematics Education: An Introduction. Educational studies in mathematics, 63(2), 113-122.
Zimmerman, B. J. (2000). Attaining self-regulation: A social cognitive perspective. In M. Boekaerts, P. R. Pintrich, & M. Zeidner (Eds.), Handbook of self-regulation (pp. 13–39). Academic Press.
