Factors influencing the effectiveness of realistic mathematics education instruction among pre-service mathematics teachers in Vietnam
Da Tien Nguyen 1 * , Le Minh Hoang 2, Duano Sapta Nusantara 3, Thuy Thi Nguyen 1 4
More Detail
1 Faculty of Education, Hanoi Metropolitan University, Hanoi, Vietnam
2 Faculty of Education - Hong Duc University, Thanh Hoa City, Vietnam
3 Department of Mathematics Education, Universitas Jambi, Jambi, Indonesia
4 Faculty of Mathematics and Informatics, School of Mathematics and Computer Science, Hanoi National University of Education, Vietnam
* Corresponding Author

Abstract

In the context of Vietnam’s transition to a competency-based curriculum, Realistic Mathematics Education has emerged as a pivotal pedagogical framework. However, its successful implementation depends heavily on the professional readiness of pre-service teachers. This study develops and validates a structural model to investigate the key determinants of Realistic Mathematics Education-based teaching performance among mathematics education students. This paper uses a quantitative research design with an ex post facto approach was employed. Data were collected from 654 pre-service mathematics teachers across pedagogical universities in Vietnam using a multi-stage sampling strategy that combined cluster and convenience sampling. The primary instrument was a structured online survey consisting of 5-point Likert scale items adapted from established theoretical constructs. Partial Least Squares Structural Equation Modeling via SmartPLS 4.1 was utilized to analyze the measurement and structural relationships.  The results confirm that Pedagogical Content Knowledge, Institutional Support, and Experience and Observation significantly and positively influence Realistic Mathematics Education teaching performance. Notably, Teacher Beliefs and Attitudes serve as a vital mediator, translating professional knowledge and support into practice. While the model demonstrates high predictive power, Importance-Performance Map Analysis identifies Experience and Observation as a critical priority area characterized by high impact but relatively lower performance levels. This shows teacher training programs should move beyond theoretical instruction to prioritize immersive clinical experiences, video analysis, and practical design skills. Enhancing these factors supports the development of effective, real-world-aligned numeracy instruction.

Keywords

References

  • Abrahamson, D., Zolkower, B., & Stone, E. (2020). Reinventing realistic mathematics education at Berkeley—Emergence and development of a course for pre-service teachers. In M. van den Heuvel-Panhuizen (Ed.), International reflections on the Netherlands didactics of mathematics: ICME-13 monographs [pp. 255-277]. Springer. https://doi.org/10.1007/978-3-030-20223-1_14
  • Ajzen, I. (2020). The theory of planned behavior: Frequently asked questions. Human Behavior and Emerging Technologies, 2, 314–324. https://doi.org/10.1002/hbe2.195
  • Akosah, E. F., Arthur, Y. D., & Obeng, B. A. (2024). Unlocking the nexus: Teacher variables effect on learners’ mathematics achievement via structural equation modeling. Journal of Pedagogical Sociology and Psychology, 6(3), 95–110. https://doi.org/10.33902/jpsp.202429145
  • Akosah, E. F., Arthur, Y. D., & Obeng, B. A. (2025). Unveiling the nexus: Teachers’ self-efficacy on realistic mathematics education via structural equation modeling approach. International Journal of Didactical Studies, 6(1), 29184. https://doi.org/10.33902/ijods.202529184
  • Al Umairi, K. S. (2024). Role of mathematics motivation in the relationship between mathematics self-efficacy and achievement. Journal of Pedagogical Research, 8(4), 125–146. https://doi.org/10.33902/JPR.202428560
  • Ali, S. S., Nisha, A. F. N., & Ali, N. A. (2025). Exploring the intricate relationship between educators’ pedagogical content knowledge (PCK) and student achievement: A case study of a rural primary school in Western Fiji. International Education Journal: Comparative Perspectives, 24(1), 62–79. https://doi.org/10.70830/iejcp.2401.20360
  • Alsina, Á., Pincheira, N., & Delgado-Rebolledo, R. (2024). The professional practice of designing tasks: How do pre-service early childhood teachers promote mathematical processes in early algebra? ZDM Mathematics Education, 56, 1197–1210. https://doi.org/10.1007/s11858-024-01636-1
  • Arhin, J., Arthur, Y. D., Gordon, J. F., & Akosah, E. F. (2026). Teachers’ ICT attitudes: A structural equation modeling study in high school mathematics. Journal of Pedagogical Sociology and Psychology, 8(1), e30649. https://doi.org/10.33902/JPSP.202530649
  • Ariati, C., Anzani, V., Juandi, D., & Hasanah, A. (2022). Meta-analysis study: Effect of realistic mathematics education (RME) approach on student’s mathematical literacy skill. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(4), 2953–2963. https://doi.org/10.24127/ajpm.v11i4.6182
  • Armiati, Fauzan, A., Harisman, Y., & Sya’bani, F. (2022). Local instructional theory of probability topics based on realistic mathematics education for eighth-grade students. Journal on Mathematics Education, 13(4), 703–722. http://doi.org/10.22342/jme.v13i4.pp703-722
  • Asiedu Menlah, C. K., & Boateng, F. O. (2025). Examining the effect of AI-based tutoring systems on students’ mathematical problem-solving skills: The moderating role of mathematics anxiety. Journal of Pedagogical Sociology and Psychology, 7(3), 5–17. https://doi.org/10.33902/jpsp.202536137
  • Aslan, A., & Arabacı, D. (2023). The use of Thinglink Web 2.0 Tool in out-of-school learning environments in mathematics teaching: Pre-service teachers’ experiences. Journal of Pedagogical Sociology and Psychology, 5(3), 263–282. https://doi.org/10.33902/jpsp.202323919
  • Babichenko, M., Lefstein, A., & Asterhan, C. S. C. (2024). Teacher collaborative inquiry into practice in school-based learning communities: The role of activity type. Learning, Culture and Social Interaction, 49, 100852. https://doi.org/10.1016/j.lcsi.2024.100852
  • Ball, D. L., & Forzani, F. M. (2009). The work of teaching and the challenge for teacher education. Journal of Teacher Education, 60(5), 497–511. https://doi.org/10.1177/0022487109348479
  • 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. https://doi.org/10.1177/0022487108324554
  • Bandura, A. (2020). Social cognitive theory: An agentic perspective. Psychology: The Journal of the Hellenic Psychological Society, 12(3), 313. https://doi.org/10.12681/psy_hps.23964
  • Barlovits, S., Ludwig, M., & Theiß, L. (2024). Mathematics in the open: Outdoor modelling supported by the smartphone app MathCityMap. In H. S. Siller, V. Geiger, & G. Kaiser (Eds.), Researching mathematical modelling education in disruptive times: International perspectives on the teaching and learning of mathematical modelling (pp. 389-399). Springer. https://doi.org/10.1007/978-3-031-53322-8_31
  • Behling, F., Förtsch, C., & Neuhaus, B. J. (2022). The refined consensus model of pedagogical content knowledge (PCK): Detecting filters between the realms of PCK. Education Sciences, 12(9), 21. https://doi.org/10.3390/educsci12090592
  • Berhe, G. T., Weldeyesus, K. M., Weldeana, H. N., Weldeslassie, A. T., & Tareke, A. A. (2025). Challenges in integrating GeoGebra for mathematics instruction in Ethiopian universities. International Journal of Didactical Studies, 6(3), 35613. https://doi.org/10.33902/ijods.202534086
  • Biçer, A., & Yıldırım, Ş. (2023). Comparison of epistemological beliefs, teaching-learning conceptions, and self-efficacy of pre-service and in-service EFL teachers. Journal of Pedagogical Research, 7(4), 414–438. https://doi.org/10.33902/JPR.202322958
  • Blömeke, S., & Olsen, R. V. (2019). Consistency of results regarding teacher effects across subjects, school levels, outcomes, and countries. Teaching and Teacher Education, 77, 170–182. https://doi.org/10.1016/j.tate.2018.09.018
  • Bozkuş, F. (2025). The role of classroom discussions in shaping pre-service mathematics teachers’ video analyses and pedagogical perspectives. Journal of Pedagogical Sociology and Psychology, 7(2), 158-175. https://doi.org/10.33902/jpsp.202532651
  • Carlson, J., & Daehler, K. R. (2019). The refined consensus model of pedagogical content knowledge in science education. In Repositioning pedagogical content knowledge in teachers’ knowledge for teaching science (pp. 77–92). Springer. https://doi.org/10.1007/978-981-13-5898-2_2
  • Carrillo-Yañez, J., Climent, N., Montes, M., Contreras, L. C., Flores-Medrano, E., Escudero-Ávila, D., & Muñoz-Catalán, M. C. (2018). The mathematics teacher’s specialized knowledge (MTSK) model. Research in Mathematics Education, 20(3), 236–253. https://doi.org/10.1080/14794802.2018.1479981
  • Chacón-Rivadeneira, K., Morales-Maure, L., García-Marimón, O., Sáez-Delgado, F., Gutiérrez González, J., & Alfaro Ponce, B. (2024). Artificial intelligence adoption in Latin American mathematics education: Challenges and opportunities. Journal of Posthumanism, 4(3), 1141–1161. https://doi.org/10.63332/joph.v4i3.3195
  • Chua, Y. P. (2024). A step-by-step guide to SMARTPLS 4: Data analysis using PLS-SEM, CB-SEM, process, and regression. Researchtree.
  • Cross Francis, D. (2009). Alignment, cohesion, and change: Examining mathematics teachers’ belief structures and their influence on instructional practices. Journal of Mathematics Teacher Education, 12, 325–346. https://doi.org/10.1007/s10857-009-9120-5
  • Dare, E. A., Keratithamkul, K., Hiwatig, B. M., & Li, F. (2021). Beyond content: The role of STEM disciplines, real-world problems, 21st century skills, and STEM careers within science teachers’ conceptions of integrated STEM education. Education Sciences, 11(11), 737. https://doi.org/10.3390/educsci11110737
  • Davor, I., Asare, C., & Abanamu, A. (2026). Predictors of students’ mathematics problem-solving skills: Feedback, beliefs, learning support, and technology. Sustainable and Pedagogical Technologies, 2(2), e43735. https://doi.org/10.33902/SPT.202643735
  • Depaepe, F., & König, J. (2018). General pedagogical knowledge, self-efficacy, and instructional practice: Disentangling their relationship in pre-service teacher education. Teaching and Teacher Education, 69, 177–190. https://doi.org/10.1016/j.tate.2017.10.003
  • Dereje, E. W. (2023). The effect of inquiry based technology integration on conceptual and procedural geometry knowledge of preservice mathematics teachers. Journal of Pedagogical Sociology and Psychology, 5(4), 12–27. https://doi.org/10.33902/jpsp.202321592
  • Dunn, R., Hattie, J., & Bowles, T. (2018). Using the theory of planned behavior to explore teachers’ intentions to engage in ongoing teacher professional learning. Studies in Educational Evaluation, 59, 288–294. https://doi.org/10.1016/j.stueduc.2018.10.001
  • Fakhrudin, A., Widyaswari, M., & Wibowo, A. P. (2025). AI-TPACK enhanced project-based STEM pedagogy: A model for cultivating 21st century skills in pre-service teachers. E3S Web of Conferences, 640, Article 02020. https://doi.org/10.1051/e3sconf/202564002020
  • Fauzan, A., Harisman, Y., Yerizon, Y., Suherman, S., Tasman, F., Nisa, S., Sumarwati, S., Hafizatunnisa, H., & Syaputra, H. (2024). Realistic mathematics education (RME) to improve literacy and numeracy skills of elementary school students based on teachers’ experience. Infinity Journal, 13(2), 301–316. https://doi.org/10.22460/infinity.v13i2.p301-316
  • Fives, H., & Gill, M. G. (Eds.). (2015). International handbook of research on teacher beliefs. Routledge.
  • Freudenthal, H. (1991). Revisiting mathematics education: China lectures. Kluwer Academic Publishers.
  • Gravemeijer, K. (1994). Developing realistic mathematics education. Freudenthal Institute.
  • Gravemeijer, K., Stephan, M., Julie, C., Lin, F. L., & Ohtani, M. (2017). What mathematics education may prepare students for the society of the future? International Journal of Science and Mathematics Education, 15(S1), 105–123. https://doi.org/10.1007/s10763-017-9814-6
  • Grossman, P., Hammerness, K., & McDonald, M. (2009). Redefining teaching, re-imagining teacher education. Teachers and Teaching, 15(2), 273–289. https://doi.org/10.1080/13540600902875340
  • Gülsün, İ., Malinen, O.-P., Yada, A., & Savolainen, H. (2026). Applying the theory of planned behaviour to examine teachers’ intentions to teach in inclusive classrooms and their inclusive practices. British Educational Research Journal, 52, 538–563. https://doi.org/10.1002/berj.70023
  • Hair, J. F., Howard, M. C., & Nitzl, C. (2020). Assessing measurement model quality in PLS-SEM using confirmatory composite analysis. Journal of Business Research, 109, 101–110. https://doi.org/10.1016/j.jbusres.2019.11.069
  • Hair, J. F., Hult, G. T. M., Ringle, C. M., & Sarstedt, M. (2022). A primer on partial least squares structural equation modeling (PLS-SEM) (3rd ed.). Sage.
  • Halász, G., & Looney, J. (2019). Teacher professional competences and standards: Concepts and implementation. European Journal of Education, 54(3), 311–314. https://www.jstor.org/stable/26998718
  • Hasibuan, A. M., Saragih, S., & Amry, Z. (2019). Development of learning materials based on realistic mathematics education to improve problem solving ability and student learning independence. International Electronic Journal of Mathematics Education, 14(1), 243–252. https://doi.org/10.29333/iejme/4000
  • Johar, R., Annisa, D., Mailizar, M., Zubainur, C. M., Zubaidah, T., Usman, U., Indriyani, L., & Musa, M. (2025). Development of algebraic expressions e-modules through realistic mathematics education approach. Infinity Journal, 14(4), 973–994. https://doi.org/10.22460/infinity.v14i4.p973-994
  • Juandi, D., Kusumah, Y. S., & Tamur, M. (2022). A meta-analysis of the last two decades of realistic mathematics education approaches. International Journal of Instruction, 15(1), 381–400. https://doi.org/10.29333/iji.2022.15122a
  • Kadarisma, G., Senjayawati, E., & Amelia, R. (2019). Pedagogical content knowledge pre-service mathematics teacher. Journal of Physics: Conference Series, 1315(1), 012068. https://doi.org/10.1088/1742-6596/1315/1/012068
  • Kanbolat, O., Arslan, S., & Karakuş, F. (2023). Discussion contents during a lesson study conducted with knowledgeable others. Journal of Pedagogical Research, 7(4), 303–325. https://doi.org/10.33902/JPR.202319984
  • Kasa, Y., Areaya, S., & Woldemichael, M. (2024). Mathematics teachers’ beliefs about mathematics, its teaching, and learning: The case of five teachers. Pedagogical Research, 9(2), em0191. https://doi.org/10.29333/pr/14172
  • Kassa, B. A., Ayele, M. A., & Argaw, A. S. (2025). The impact of GeoGebra-assisted problem solving based on variation theory on students’ motivation in geometry. Journal of Pedagogical Sociology and Psychology, 7(4), 44–61. https://doi.org/10.33902/jpsp.202534058
  • Kılıç, A. (2022). The impact of reflective practices on pre-service science teachers’ classroom teaching practices. Journal of Pedagogical Research, 6(1), 152–170. https://doi.org/10.33902/JPR.2022175781
  • Korthagen, F. (2017). Inconvenient truths about teacher learning: Towards professional development 3.0. Teachers and Teaching, 23(4), 387–405. https://doi.org/10.1080/13540602.2016.1211523
  • Lamichhane, B. R. (2017). Teachers’ beliefs about mathematics and instructional practices. Saptagandaki Journal, 8, 14–21. https://doi.org/10.3126/sj.v8i0.18458
  • Li, G., & Ma, Y. (2025). Exploring the influencing factors of teacher beliefs and their impact on teacher behaviors. BMC Psychology, 13, 993. https://doi.org/10.1186/s40359-025-03095-z
  • Liljedahl, P. (2020 993. https://doi.org/10.1186/s40359-025-03095-z
  • Liljedahl, P. (2020). Building thinking classrooms in mathematics, grades K–12: 14 teaching practices for enhancing learning. Corwin.
  • Listyaningrum, P., Retnawati, H., & Ibda, H. (2025). Realistic mathematics education in digital era elementary schools: A systematic literature review. International Journal on Advanced Science, Engineering and Information Technology, 15(1), 67–74. https://doi.org/10.18517/ijaseit.15.1.20123
  • Llinares, S. (2021). Instructional quality of mathematics teaching and mathematics teacher education. Journal of Mathematics Teacher Education, 24, 1–3. https://doi.org/10.1007/s10857-021-09488-2
  • Loc, N. P., Tran, N., & Tiên, T. (2020). Approach to realistic mathematics education in teaching mathematics: A case of cosine theorem—Geometry 10. International Journal of Scientific & Technology Research, 8(4), 1173–1178.
  • Lutovac, S., & Kaasila, R. (2018). Future directions in research on mathematics-related teacher identity. International Journal of Science and Mathematics Education, 16, 759–776. https://doi.org/10.1007/s10763-017-9796-4
  • Mailizar, M., Umam, K., & Elisa, E. (2026). Examining the impact of teachers’ knowledge on the integration of dynamic mathematics software into constructivist pedagogy. Journal of Pedagogical Research, 10(1), 209–226. https://doi.org/10.33902/JPR.202636113
  • Martínez-Gómez, J., & Nicolalde, J. F. (2025). Enhancing mathematical education through mobile learning: A problem-based approach. Education Sciences, 15(4), Article 462. https://doi.org/10.3390/educsci15040462
  • Matsumoto-Royo, K., & Ramírez-Montoya, M. S. (2021). Core practices in practice-based teacher education: A systematic literature review of its teaching and assessment process. Studies in Educational Evaluation, 70, Article 101047. https://doi.org/10.1016/j.stueduc.2021.101047
  • Mengiste, S. T. (2025). Teachers’ beliefs and practices in social studies: Aligning theory with practice. Cogent Education, 12(1). https://doi.org/10.1080/2331186X.2025.2533299
  • Ministry of Education and Training. (2018). General education curriculum: Overall program. MOET Vietnam.
  • Morris, D. B., Usher, E. L., & Chen, J. A. (2017). Reconceptualizing the sources of teaching self-efficacy: A critical review of emerging literature. Educational Psychology Review, 29, 795–833. https://doi.org/10.1007/s10648-016-9378-y
  • Mulbar, U., & Zaki, A. (2018). Design of realistic mathematics education on elementary school students. Journal of Physics: Conference Series, 1028(1), 012155. https://doi.org/10.1088/1742-6596/1028/1/012155
  • Nahrowi, N., Aisiah, I. N., Santoso, A. R. W., & Arzanti, C. M. (2025). Bridging vocation 4.0 readiness: Needs assessment of interactive simulation media in manufacturing-focused vocational high schools. Journal on Smart Learning Technologies, 1(2), 121–131.
  • Nilsen, T., & Gustafsson, J. E. (Eds.). (2016). Teacher quality, instructional quality and student outcomes: Relationships across countries, cohorts and time (Vol. 2). Springer Nature. https://doi.org/10.1007/978-3-319-41252-8
  • Njiku, J. (2025). Pre-service teachers manifested mathematics pedagogical content knowledge: The role of the teaching practicum. Pedagogical Research, 10(1), em0229. https://doi.org/10.29333/pr/15647
  • Norton, S. J. (2019). The relationship between mathematical content knowledge and mathematical pedagogical content knowledge of prospective primary teachers. Journal of Mathematics Teacher Education, 22, 489-514. https://doi.org/10.1007/s10857-018-9401-y
  • Nursyahidah, F., Wardono, W., Mariani, S., & Wijayanti, K. (2025). Integrating technology, ethnomathematics, and realistic mathematics education in learning statistics: A learning trajectory. Infinity Journal, 14(3), 633–654. https://doi.org/10.22460/infinity.v14i3.p633-654
  • Ofem, U. J., Owan, V. J., Ibor, R. A., Bassey, B. A., & Asuquo, M. E. (2024). Modelling achievement in mathematics: The predictive role of affective variables among students. Journal of Pedagogical Sociology and Psychology, 6(2), 78–97. https://doi.org/10.33902/jpsp.202414504
  • Pambudi, D. S., Sunardi, Kurniati, D., & Lestari, N. D. S. (2023). The mathematics prospective teachers activities when solving outdoor learning mathematics projects in the campus garden. Mathematics Teaching Research Journal, 15(3), 19–33.
  • Pambudi, D. S., Sunardi, S., & Sugiarti, T. (2022). Learning mathematics using a collaborative RME approach in the indoor and outdoor classrooms to improve students’ mathematical connection ability. Jurnal Pendidikan Matematika, 16(3), 303–324. https://doi.org/10.22342/jpm.16.3.17883.303-324
  • Peddell, L., Willis, R., Lynch, D., Markopoulos, C., Samojlowicz, D., Yeigh, T., & Forrester, D. (2025). Mathematics teachers’ intention to participate in an online community: An investigation using the theory of planned behaviour. Mathematics Education Research Journal, 37, 577–600. https://doi.org/10.1007/s13394-024-00502-3
  • Phuong, P. N. T., Hong, B. V., & De, D. V. (2025). STEM teaching competency framework for pre-service teacher: A study in Vietnam. International Journal of Evaluation and Research in Education, 14(6), 4734–4743. https://doi.org/10.11591/ijere.v14i6.35387
  • Piyakun, A., & Phusee-Orn, S. (2025). The roles of teachers’ beliefs and instructional practices in students’ mathematical mindset. Frontiers in Education, 10, 1480277. https://doi.org/10.3389/feduc.2025.1480277
  • Poonputta, A. (2023). The impact of project-based and experiential learning integration on pre-service teacher achievement in evaluation and assessment. International Journal of Learning, Teaching and Educational Research, 22(7), 337–355. https://doi.org/10.26803/ijlter.22.7.19
  • Poonputta, A., & Sakorn, W. (2025). Developing pre-service teachers’ mathematics teaching skills and attitude through project-based learning and reflective learning. Educational Process: International Journal, 16, e2025216. https://doi.org/10.22521/edupij.2025.16.216
  • Rifandi, R., Mulyati, A., Rani, M. M., & Al Aziz, S. (2021). Pre-service mathematics teachers’ perception on realistic mathematics education. Journal of Physics: Conference Series, 1940(1), 012101. https://doi.org/10.1088/1742-6596/1940/1/012101
  • Rusiyanti, R. H., & Putri, R. I. I. (2022). Developing RME-based lesson study for learning community in the learning environment of high school mathematics teachers. Journal on Mathematics Education, 13(3), 499–514. https://doi.org/10.22342/jme.v13i3.pp499-514
  • Schoen, R. C., & LaVenia, M. (2019). Teacher beliefs about mathematics teaching and learning: Identifying and clarifying three constructs. Cogent Education, 6(1). https://doi.org/10.1080/2331186X.2019.1599488
  • Shulman, L. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57(1), 1–23. https://doi.org/10.17763/haer.57.1.j463w79r56455411
  • Siswantari, Sabon, S. S., Listiawati, N., Wirda, Y., Zulkardi, & Riyanto, B. (2025). Bridging mathematics and communication: Implementing realistic mathematics education principles for skill development. Journal on Mathematics Education, 16(2), 729–752. https://doi.org/10.22342/jme.v16i2.pp729-752
  • Smith, J., Fotou, N., & Sharpe, R. (2026). Changes in mathematics anxiety and mathematics confidence. International Journal of Mathematical Education in Science and Technology, 57(4), 758–776. https://doi.org/10.1080/0020739X.2025.2475928
  • Spangenberg, E. D., & De Freitas, G. (2019). Mathematics teachers’ levels of technological pedagogical content knowledge and information and communication technology integration barriers. Pythagoras, 40(1), a431. https://doi.org/10.4102/pythagoras.v40i1.431
  • Sounoglou, M., Christodoulou, M., & Lytsiousi, S. (2026). Practicums and student teachers’ identity formation: A study using the explanatory sequential design. Journal of Pedagogical Sociology and Psychology, 8(1), e29580. https://doi.org/10.33902/JPSP.202629580
  • Taşkın, R. B., & Sezer, T. (2022). Preschool teachers’ attitudes towards mathematical pedagogical content knowledge, mathematics, and mathematics teaching. International Journal of Psychology and Educational Studies, 9(4), 1286–1306. https://dx.doi.org/10.52380/ijpes.2022.9.4.906
  • Thurlings, M., Evers, A. T., & Vermeulen, M. (2015). Toward a model of explaining teachers’ innovative behavior: A literature review. Review of Educational Research, 85(3), 430–471. https://doi.org/10.3102/0034654314557949
  • Togmey, F. M. (2025). Impact of classroom observation tools on teacher development: A mixed-methods study. Cognizance Journal of Multidisciplinary Studies, 5(4), 977–992. https://doi.org/10.47760/cognizance.2025.v05i04.029
  • Tong, D. H., Nguyen, T. T., Uyen, B. P., Ngan, L. K., Khanh, L. T., & Tinh, P. T. (2022). Realistic mathematics education’s effect on students’ performance and attitudes: A case of ellipse topics learning. European Journal of Educational Research, 11(1), 403–421. https://doi.org/10.12973/eu-jer.11.1.403
  • Treffers, A. (1987). Three dimensions: A model of goal and theory description in mathematics instruction—The Wiskobas Project. Reidel Publishing Company. https://doi.org/10.1007/978-94-009-3541-9
  • Ulandari, N., Amry, Z., & Jhoni, M. (2019). Development of learning materials based on realistic mathematics education approach to improve students’ mathematical problem solving ability and self-efficacy. International Electronic Journal of Mathematics Education, 14(2), 375–383. https://doi.org/10.29333/iejme/5721
  • Van den Heuvel-Panhuizen, M. (2023). International reflections on the Netherlands didactics of mathematics: Visions on RME. Springer.
  • Van den Heuvel-Panhuizen, M., & Drijvers, P. (2020). Realistic mathematics education. In S. Lerman (Ed.), Encyclopedia of mathematics education. Springer. https://doi.org/10.1007/978-3-030-15789-0_170
  • van Es, E., Cashen, M., Barnhart, T., Auger, A. (2017). Learning to notice mathematics instruction: Using video to develop preservice teachers' vision of ambitious pedagogy. Cognition and Instruction, 35(3), 165-187. https://doi.org/10.1080/07370008.2017.1317125
  • Wibawa, K. A., Payadnya, I. P. A. A., Wena, I. M., & Saelee, S. (2025). Metacognitive strategies in solving mathematical realistic word problems: A case of Indonesian junior high school learners. Asian Education and Development Studies, 14(5), 1068–1079. https://doi.org/10.1108/AEDS-01-2025-0005
  • Wulandari, T. C., Raicucu, M. I. R., Abidin, Z., & Fajarianto, O. (2023). Math city map: Application of mathematics outdoor learning using mobile application. Jurnal Teknologi Pendidikan, 25(3), 487–495. https://doi.org/10.21009/jtp.v25i3.40490
  • Xue, S., Topping, K., Lakin, E., & Krell, M. (2025). Modelling competence in teacher education: Comparing meta-modelling knowledge, modelling practices, and modelling products between pre-service and in-service teachers. Research in Science Education, 55, 253–275. https://doi.org/10.1007/s11165-024-10183-4
  • Yang, X., & Kaiser, G. (2022). The impact of mathematics teachers’ professional competence on instructional quality and students’ mathematics learning outcomes. Current Opinion in Behavioral Sciences, 48, 101225. https://doi.org/10.1016/j.cobeha.2022.101225
  • Yığ, K. G. (2022). Research trends in mathematics education: A quantitative content analysis of major journals 2017–2021. Journal of Pedagogical Research, 6(3), 137–153. https://doi.org/10.33902/JPR.202215529
  • Zeichner, K. (2012). The turn once again toward practice-based teacher education. Journal of Teacher Education, 63(5), 276–282. https://doi.org/10.1177/0022487112445789
  • Zubaidah, T., Johar, R., Annisa, D., & Safitri, Y. (2023). Teacher’s pedagogical content knowledge (PCK) in implementing realistic mathematics education (RME). Beta Jurnal Tadris Matematika, 16(1), 550. https://doi.org/10.20414/betajtm.v16i1.550
  • Zulkardi, Z., Putri, R. I. I., & Wijaya, A. (2020). Two decades of realistic mathematics education in Indonesia. In M. van den Heuvel-Panhuizen (Ed.), International reflections on the Netherlands didactics of mathematics: ICME-13 monographs (pp. 325-340). Springer. https://doi.org/10.1007/978-3-030-20223-1_18

License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.