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References
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- Cai, J. (2000). Understanding and representing the arithmetic averaging algorithm: An analysis and comparison of U.S. and Chinese Students’ responses. International Journal of Mathematical Education in Science and Technology, 31(6), 839-855. https://doi.org/10.1080/00207390050203342
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- Cai, J., Hwang, S., Jiang, C., & Silber, S. (2015). Problem-posing research in mathematics education: Some answered and unanswered questions. In Singer N. F. (Ed.), Mathematical problem posing (pp. 3-34). Springer. https://doi.org/10.1007/978-1-4614-6258-3_1
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- Crespo, S. (2003). Learning to pose mathematical problems: Exploring changes in preservice teachers’ practices. Educational Studies in Mathematics, 52(3), 243–270. https://doi.org/10.1023/A:1024364304664
- Crespo, S. (2015). A collection of problem-posing experiences for prospective mathematics teachers that make a difference. In Singer N. F. (Ed.), Mathematical problem posing (pp. 493-511). Springer. https://doi.org/10.1007/978-1-4614-6258-3_24
- Crespo, S., & Harper, F. K. (2020). Learning to pose collaborative mathematics problems with secondary prospective teachers. International Journal of Educational Research, 102. https://doi.org/10.1016/j.ijer.2019.05.003
- Crespo, S., & Sinclair, N. (2008). What makes a problem mathematically interesting? Inviting prospective teachers to pose better problems. Journal of Mathematics Teacher Education, 11(5), 395-415. https://doi.org/10.1007/s10857-008-9081-0
- da Ponte, J. P., & Henriques, A. (2013). Problem posing based on investigation activities by university students. Educational Studies in Mathematics, 83(1), 145-156. https://doi.org/10.1007/s10649-012-9443-5
- Duncker, K. (1945). On problem solving. Psychological Monograph, 58(5), i-113. http://dx.doi.org/10.1037/h0093599
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- Ellerton, N. F. (1986). Children’s made-up mathematics problems: A new perspective on talented mathematicians. Educational Studies in Mathematics, 17(3), 261-271. https://doi.org/10.1007/BF00305073
- Ellerton, N. F. (2013). Engaging pre-service middle-school teacher-education students in mathematical problem posing: Development of an active learning framework. Educational Studies in Mathematics, 83(1), 87–101. https://doi.org/10.1007/s10649-012-9449-z
- English, L. D. (2020). Teaching and learning through mathematical problem posing: Commentary. International Journal of Educational Research, 102. https://doi.org/10.1016/j.ijer.2019.06.014
- Ernest, P. (1991). The philosophy of mathematics education. Routledge. https://doi.org/10.4324/9780203497012
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References
Bjork, C. (2005). Indonesian education: Teachers, schools, and central bureaucracy. Routledge. https://doi.org/10.4324/9780203959015
Bonotto, C., & Santo, L. D. (2015). On the relationship between problem posing, problem solving, and creativity in the primary school. In Singer N. F. (Ed.), Mathematical problem posing (pp. 3-34). Springer. https://doi.org/10.1007/978-1-4614-6258-3_1
Bóra, E. (2020). A computational thinking problem-thread for grade 7 students and above from the Pósa method. Teaching Mathematics and Computer Science, 18(3), 101-110. https://doi.org/10.5485/tmcs.2020.0480
Boulton-Lewis, G., Cooper, T. J., Atweh, B., Pillay, H., & Wilss, L. (2000). Readiness for algebra. In T. Nakahra & M. Koyama (Eds.), Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 89-96). Hiroshima, Japan: PME
Bradburn, N. M., & Gilford D. M. (1990). A framework and principles for international comparative studies in education. National Academy Press.
Britt, M. S., & Irwin, K. C. (2008). Algebraic thinking with and without algebraic representation: A three-year longitudinal study. ZDM - International Journal on Mathematics Education, 40(1), 39-53. https://doi.org/10.1007/s11858-007-0064-x
Brown, S. I., & Walter, M. I. (2004). The art of problem posing: Third edition. Lawrence Erlbaum Associates. https://doi.org/10.4324/9781410611833
Cai, J. (1998). An investigation of U.S. and Chinese students’ mathematical problem posing and problem solving. Mathematics Education Research Journal, 10(1), 37-50. https://doi.org/10.1007/BF03217121
Cai, J. (2000). Understanding and representing the arithmetic averaging algorithm: An analysis and comparison of U.S. and Chinese Students’ responses. International Journal of Mathematical Education in Science and Technology, 31(6), 839-855. https://doi.org/10.1080/00207390050203342
Cai, J., & Lester, F. (2007). Contributions from cross-national comparative studies to the internationalization of mathematics education: Studies of Chinese and U.S. classrooms. Internationalisation and Globalisation in Mathematics and Science Education, 269-283. https://doi.org/10.1007/978-1-4020-5908-7_15
Cai, J., Hwang, S., Jiang, C., & Silber, S. (2015). Problem-posing research in mathematics education: Some answered and unanswered questions. In Singer N. F. (Ed.), Mathematical problem posing (pp. 3-34). Springer. https://doi.org/10.1007/978-1-4614-6258-3_1
Carraher, D. W., Schliemann, A. D., Brizuela, B. M., & Earnest, D. (2006). Arithmetic and algebra in early mathematics education. Journal for Research in Mathematics Education, 37, 87–115. https://doi.org/10.2307/30034843
Chapman, O. (2012). Prospective elementary school teachers’ ways of making sense of mathematical problem posing. PNA, 6(4), 135-146. https://doi.org/10.30827/pna.v6i4.6137
Christidamayani, A. P., & Kristanto, Y. D. (2020). The effects of problem posing learning model on students’ learning achievement and motivation. Indonesian Journal on Learning and Advanced Education, 2(2), 100-108. https://doi.org/10.23917/ijolae.v2i2.9981
Cohen, J. (1960). A coefficient of agreement for nominal scales. Educational and Psychological Measurement, 20(1), 37–46. https://doi.org/10.1177/001316446002000104
Crespo, S. (2003). Learning to pose mathematical problems: Exploring changes in preservice teachers’ practices. Educational Studies in Mathematics, 52(3), 243–270. https://doi.org/10.1023/A:1024364304664
Crespo, S. (2015). A collection of problem-posing experiences for prospective mathematics teachers that make a difference. In Singer N. F. (Ed.), Mathematical problem posing (pp. 493-511). Springer. https://doi.org/10.1007/978-1-4614-6258-3_24
Crespo, S., & Harper, F. K. (2020). Learning to pose collaborative mathematics problems with secondary prospective teachers. International Journal of Educational Research, 102. https://doi.org/10.1016/j.ijer.2019.05.003
Crespo, S., & Sinclair, N. (2008). What makes a problem mathematically interesting? Inviting prospective teachers to pose better problems. Journal of Mathematics Teacher Education, 11(5), 395-415. https://doi.org/10.1007/s10857-008-9081-0
da Ponte, J. P., & Henriques, A. (2013). Problem posing based on investigation activities by university students. Educational Studies in Mathematics, 83(1), 145-156. https://doi.org/10.1007/s10649-012-9443-5
Duncker, K. (1945). On problem solving. Psychological Monograph, 58(5), i-113. http://dx.doi.org/10.1037/h0093599
Ekawati, R., Fiangga, S., & Siswono, T. Y. E. (2018). Historical aspect of mathematics on Indonesian mathematics textbook. IOP Conf. Series: Materials Science and Engineering, 434(012001), 1-6. https://doi.org/10.1088/1757-899X/434/1/012001
Ellerton, N. F. (1986). Children’s made-up mathematics problems: A new perspective on talented mathematicians. Educational Studies in Mathematics, 17(3), 261-271. https://doi.org/10.1007/BF00305073
Ellerton, N. F. (2013). Engaging pre-service middle-school teacher-education students in mathematical problem posing: Development of an active learning framework. Educational Studies in Mathematics, 83(1), 87–101. https://doi.org/10.1007/s10649-012-9449-z
English, L. D. (2020). Teaching and learning through mathematical problem posing: Commentary. International Journal of Educational Research, 102. https://doi.org/10.1016/j.ijer.2019.06.014
Ernest, P. (1991). The philosophy of mathematics education. Routledge. https://doi.org/10.4324/9780203497012
Fauzan, A. (2002). Applying Realistic Mathematics Education (RME) in Teaching Geometry in Indonesian Primary Schools [Doctoral dissertation, University of Twente]. University of Twente Research Output. Retrieved from https://ris.utwente.nl/ws/portalfiles/portal/6073228/thesis_Fauzan.pdf
Fazekas, T., & Hraskó, A. (2006). Bergengóc példatár 1 [Bergengóc problem book]. Typotex.
Filloy, E., & Rojano, T. (1989). Solving equations: The transition from arithmetic to algebra. For the Learning of Mathematics, 9, 19–25.
Freudenthal, H. (1973). Mathematics as an Educational Task. Reidel. https://doi.org/10.1007/978-94-010-2903-2.
Freudenthal, H. (1977). What is algebra and what has it been in history? Archive for History of Exact Sciences, 16(3), 189–200. https://doi.org/10.1007/BF00328154
Friedlander, A., & Hershkowitz, R. (1997). Reasoning with algebra. The Mathematics Teacher, 90(6), 442-447. https://doi.org/10.2307/27970218
Gallai, T., & Péter, R. (1949). Matematika a középiskolák I. osztálya számára [Mathematics for ninth graders]. Tankönyvkiadó Nemzeti Vállalat.
Gosztonyi, K. (2016). Mathematical culture and mathematics education in Hungary in the XXth century. In Larvor B. (Ed.), Trends in the history of science (pp. 71-89). Springer International Publishing Switzerland. https://doi.org/10.1007/978-3-319-28582-5_5
Győri, J. G., Fried, K., Köves, G., Oláh, V., & Pálfalvi, J. (2020). The traditions and contemporary characteristics of mathematics education in Hungary in the post-socialist era. In Karp A. (Ed.), Eastern European mathematics education in the decades of change: International studies in the history of mathematics and its teaching (pp. 75-129). Springer Nature. https://doi.org/10.1007/978-3-030-38744-0_3
Halmos, M., & Varga, T. (1978). Change in mathematics education since the late 1950’s – Ideas and realisation Hungary. Educational Studies in Mathematics, 9(2), 225-244. https://doi.org/10.1007/bf00221159
Hasanah, N., Hayashi, Y., & Hirashima, T. (2017). Investigation of learning environment for arithmetic word problems by problem posing as sentence integration in Indonesian language. Journal of Physics: Conference Series, 812(012060), 1-6. https://doi.org/10.1088/1742-6596/812/1/012060
Hohensee, C. (2017). Preparing elementary prospective teachers to teach early algebra. Journal of Mathematics Teacher Education, 20, 231–257. https://doi.org/10.1007/s10857-015-9324-9
Government Decree. (2012 & rev. 2020). A Nemzeti Alaptanterv Kiadasarol, Bevezetésérol és Alkalmazasarol 10/2012. (VI. 4) [On the Announcement, Introduction, and Application of the National Core Curriculum 10/2012. (VI. 4)]. Retrieved from http://net.jogtar.hu
Hiebert, J. (1999). Relationship between research and the NCTM standards. Journal for Research in Mathematics Education, 30(1), 3–19. https://doi.org/10.2307/749627
Indonesian Ministry of Education and Culture. (2018). Peraturan Menteri Pendidikan dan Kebudayaan Republik Indonesia
Nomor 37/2018 [Regulation of the Minister of Education and Culture of the Republic of Indonesia Number 37/2018]. Retrieved from https://jdih.kemdikbud.go.id.
Juhász, P. (2019). Talent nurturing in Hungary: The Pósa weekend camps. Notices of the American Mathematical Society, 66(6), 898–900. https://doi.org/10.1090/noti1887
Kadir, K., Kodirun, Cahyono, E., Hadi, A. L., Sani, A., & Jafar. (2020). The ability of prospective teachers to pose contextual word problem about fractions addition. Journal of Physics: Conference Series, 1581(012025), 1-9. https://doi.org/10.1088/1742-6596/1581/1/012025
Kaput, J. J. (2008). What is algebra? What is algebraic reasoning? In J. J. Kaput, D. W. Carraher, & M. L. Blanton, Algebra in the early grades. Routledge. https://doi.org/10.4324/9781315097435-2
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