Investigating the effects of Realistic Mathematics Education on mathematical creativity through a mixed-methods approach

Rustam Effendy Simamora, Sury Adellia Ramadhanta

Abstract


This study investigates the effect of Realistic Mathematics Education (RME) on mathematical creativity among 96 seventh-grade students in North Kalimantan. Using an embedded experimental design, students were assigned to an experimental group (RME) and a control group (conventional teaching), each consisting of 32 students. The pretest and posttest showed a significant increase in mathematical creativity in both groups, with a greater increase in the RME group. Interviews indicated that RME positively impacted students' mathematical self-efficacy, proficiency in fractions, and enjoyment of learning. Students also favored teaching on the blackboard and mathematics games, which increased their interest. These findings confirm the effectiveness of RME in enhancing mathematical creativity and suggest further exploration of diverse learning media and icebreakers. This study highlights the potential of RME to foster creativity and recommends its integration into the mathematics curriculum.

Keywords


creative thinking, embedded mixed method, junior high school, open-ended problems, realistic mathematics education

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References


J. P. Guilford, “Creativity yesterdav, todav, and tomorrow,” vol. I, no. 1, pp. 3–14, 1967.

A. Bicer, “A systematic literature review : Discipline-specific and general instructional practices fostering the mathematical of students,” International Journal of Education in Mathematics Science and Technology, vol. 9, no. 2, pp. 252-281, 2021.

M. Kattou, K. Kontoyianni, D. Pitta-Pantazi, and C. Christou, “Connecting mathematical creativity to mathematical ability,” ZDM - Int. J. Math. Educ., vol. 45, no. 2, pp. 167–181, 2013, doi: 10.1007/s11858-012-0467-1.

S. Suherman and T. Vidákovich, “Assessment of mathematical creative thinking: A systematic review,” Think. Ski. Creat., vol. 44, no. 1, pp. 1-13, 2022, doi: 10.1016/j.tsc.2022.101019.

R. Leikin and R. Guberman, Creativity And Challenge: Task Complexity As A Function Of Insight And Multiplicity Of Solutions. Springer : New York, 2023.

R. Marks, Transforming mathematics instruction: multiple approaches and practices, vol. 18, no. 2, 2016, doi: 10.1080/14794802.2016.1164070.

X. Lu, G. Kaiser, and G. Kaiser, “Can mathematical modelling work as a creativity ‑ demanding activity ? An empirical study in China,” ZDM – Math. Educ., vol. 54, no. 1, pp. 67–81, 2022, doi: 10.1007/s11858-021-01316-4.

M. A. Meier and R. H. Grabner, The Roles Of Intelligence And Creativity For Learning Mathematics, Springer : New York, 2022.

S. Bruhn and M. M. Lüken, “A framework to characterize young school children’s individual mathematical creativity—an integrative review,” Asian J. Math. Educ., vol. 2, no. 1, pp. 116–144, 2023, doi: 10.1177/27527263231163267.

I. C. de Vink, R. H. Willemsen, A. W. Lazonder, and E. H. Kroesbergen, “Creativity in mathematics performance: The role of divergent and convergent thinking,” Br. J. Educ. Psychol., vol. 92, no. 2, pp. 484–501, 2022, doi: 10.1111/bjep.12459.

J. Joklitschke, B. Rott, and M. Schindler, “Notions of creativity in mathematics education research: A systematic literature review,” Int. J. Sci. Math. Educ., vol. 20, no. 6, pp. 1161–1181, 2022, doi: 10.1007/s10763-021-10192-z.

P. Haavold, B. Sriraman, and K.-H. Lee, “Creativity in mathematics education,” Encycl. Math. Educ., pp. 145–154, 2020.

H. Elgrably and R. Leikin, “Creativity as a function of problem-solving expertise: posing new problems through investigations,” ZDM - Math. Educ., vol. 53, no. 4, pp. 891–904, 2021, doi: 10.1007/s11858-021-01228-3.

M. Schindler et al., “An alternative method to promote pupils’ mathematical understanding via problem solving,” ZDM - Math. Educ., vol. 54, no. 1, pp. 1–19, 2022, doi: 10.3389/feduc.2022.1003740.

J. S. Kozlowski and S. A. Chamberlin, Mathematical Creativity Research In The Elementary Grades. Springer : London, 2022.

S. Carreira and N. Amaral, “Mathematical problem solving beyond school: A tool for highlighting creativity in children’s solutions,” in Broadening scope Res. Math. Probl. solving A Focus Technol. Creat. Affect, Cham : Springer, 2018, ch. 9, pp. 187–217.

D. Pitta-Pantazi, M. Kattou, and C. Christou, “Mathematical creativity: Product, person, process and press,” in Math. Creat. Math. Gift. Enhancing Creat. Capacit. Math. Promis. Students, Cham : Springer, 2018, ch. 2, pp. 27–53.

T. T. Phan et al., “A bibliometric review on realistic mathematics education in scopus database between 1972-2019.,” Eur. J. Educ. Res., vol. 11, no. 2, pp. 1133–1149, 2022.

Z. Zulkardi, R. I. I. Putri, and A. Wijaya, Two decades of realistic mathematics education in Indonesia. Springer : Cham, 2020.

H. J. Smid, Realistic Mathematics Education. Springer, Cham : 2023.

X. Gao, “The Development of Problem Solving in Chinese Mathematics Curricula,” in Beyond Shanghai and PISA: Cognitive and Non-cognitive Competencies of Chinese Students in Mathematics, Switzerland : Springer, 2021, ch. 1,pp. 87–108.

M. Van den Heuvel-Panhuizen and P. Drijvers, Realistic Mathematics Education. Springer : Switzerland, 2020.

H. Fredriksen, “Exploring realistic mathematics education in a flipped classroom context at the tertiary level,” Int. J. Sci. Math. Educ., vol. 19, no. 2, pp. 377–396, 2021, doi: 10.1007/s10763-020-10053-1.

M. Van Den Heuvel-panhuizen, “The Didactical Use of Models in Realistic,” Educ. Stud. Math., vol. 54, no. 1, pp. 9–35, 2003, doi : 10.1023/B:EDUC.0000005212.03219.dc.

Z. Zetriuslita, R. Ariawan, and H. Nufus, “Analisis kemampuan berpikir kritis matematis mahasiswa dalam menyelesaikan soal uraian kalkulus integral berdasarkan level kemampuan mahasiswa,” Infin. J., vol. 5, no. 1, pp. 56–66, 2016.

R. S. F. Iskandar and D. Juandi, “Study literature review: Realistic mathematics education learning on students’ mathematical creative thinking ability,” SJME (Supremum J. Math. Educ., vol. 6, no. 1, pp. 35–42, 2022, doi: 10.35706/sjme.v6i1.5739.

D. Ismunandar, F. Gunadi, M. Taufan, and D. Mulyana, “Creative thinking skill of students through realistic mathematics education approach,” in Journal of Physics: Conference Series, 2020, pp. 1-8, doi : 10.1088/1742-6596/1657/1/012054.

M. D. Fetters and J. F. Molina-Azorin, “Utilizing a mixed methods approach for conducting interventional evaluations,” Journal of Mixed Methods Research, vol. 14, no. 2, pp. 131–144, 2020, doi : 10.1177/1558689820912856.

J. Creswell, Research Design Qualitative, Quantitative, Quantitative, and Mixed Methods Approaches. United Kingdom: SAGE Publications, Inc, 2018.

H. T. T. Dang, D. Thi Bui, and T. T. Nhan, “Enhancing creativity in secondary school mathematics: A quasi-experimental, mixed methods study in Vietnam,” Issues Educ. Res., vol. 33, no. 2, pp. 488–509, 2023.

R. Taubah, I. Isnarto, and R. Rochmad, “Student critical thinking viewed from mathematical self-efficacy in means ends analysis learning with the realistic mathematics education approach,” Unnes J. Math. Educ. Res., vol. 7, no. 1, pp. 189–195, 2018.

Y. Yuhasriati, R. Johar, C. Khairunnisak, U. Rohaizati, A. Jupri, and T. Zubaidah, “Students mathematical representation ability in learning algebraic expression using realistic mathematics education,” J. Didakt. Mat., vol. 9, no. 1, pp. 151–169, 2022.

N. Herlinda and A. Hidayat, “Pengaruh pembelajaran etno-rme terhadap kemampuan berpikir kritis matematis siswa kelas VIII dI Smp Negeri 1 Bangkinang Kota,” Pendas J. Ilm. Pendidik. Dasar, vol. 8, no. 3, pp. 5666–5681, 2023.

J. Sitorus and Masrayati, “Students’ creative thinking process stages: Implementation of realistic mathematics education,” Think. Ski. Creat., vol. 22, no 1, pp. 111–120, 2016, doi: 10.1016/j.tsc.2016.09.007.

A. Nurfithriyya, G. C. Kesuma, and R. R. M, “Pengembangan modul bilingual bergambar dengan pendekatan realistic mathematics education (RME) pada materi H=himpunan,” Indones. J. Sci. Math. Educ., vol. 3, no. 1, pp. 48–56, 2020, doi: 10.24042/ijsme.v3i1.4804.

N. Faidah, R. Masykur, S. Andriani, and L. Haerlina, “Realistic mathematics education (RME) sebagai sebuah pendekatan pada pengembangan modul matematika berbasis teori multiple intelligences howard gardner,” Indones. J. Sci. Math. Educ., vol. 2, no. 3, pp. 328–332, 2019, doi: 10.24042/ijsme.v2i3.4396.

S. Erita, E. S. D. Utami, and F. Ningsih, “Realistic mathematic education-based student worksheet to improve students’ mathematical reasoning on circle material,” Indones. J. Sci. Math. Educ., vol. 5, no. 2, pp. 210–223, 2022.

D. Ary, L. C. Jacobs, C. K. S. Irvine, and D. Walker, Introduction to research in education. Cengage Learning : Canada, 2018.

T. Beckmann and T. Ehmke, "Informal and formal lesson planning in school internships: Practices among preservice teachers," Teach. Teach. Educ., vol. 132, no. 2, pp. 1-11, 2023, doi : 10.1016/j.tate.2023.104249.

S. Sutarni, S. Sutama, H. J. Prayitno, A. Sutopo, and P. A. Laksmiwati, “The development of realistic mathematics education-based student worksheets to enhance higher-order thinking skills and mathematical ability,” Infin. J., vol. 13, no. 2, pp. 285–300, 2024, doi : 10.22460/infinity.v13i2.p285-300.

S. B. Merriam and E. J. Tisdell, Qualitative Research A Guide to Design and Implementation. Jossey-Bass : California, 2016.

L. S. Nowell, J. M. Norris, D. E. White, and N. J. Moules, “Thematic analysis: striving to meet the trustworthiness criteria,” Int. J. Qual. Methods, vol. 16, no. 1, pp. 1–13, 2017, doi: 10.1177/1609406917733847.

R. E. Simamora and H. Khairullah, “Eksplorasi faktor-faktor yang menghambat siswa,” vol. 4, no. 2, pp. 77–89, 2022.

J. G. Kamara, R. E. Simamora, and S. W. Rahayu, “Eksplorasi faktor penghambat berpikir kreatif matematis siswa menengah pertama,” Math. Educ. Apl. J. (META, vol. 5, no. 1, pp. 18–30, 2023.

G. E. Corazza, “Potential originality and effectiveness: The dynamic definition of creativity,” Creat. Res. J., vol. 28, no. 3, pp. 258–267, 2016.

E. M. Schoevers, E. H. Kroesbergen, and M. Kattou, “Mathematical creativity: A combination of domain‐general creative and domain‐specific mathematical skills,” J. Creat. Behav., vol. 54, no. 2, pp. 242–252, 2020.

M. Tamur, D. Juandi, and A. M. G. Adem, “Realistic mathematics education in indonesia and recommendations for future implementation : A meta-analysis study,” vol. 4, no. 1, pp. 17–27, 2020.

S. Samritin, S. R. Natsir, A. Manaf, and E. R. Sari, “The effect of realistic mathematics education implementation in mathematics learning in elementary school,” Form. J. Ilm. Pendidik. MIPA, vol. 13, no. 1, pp. 81-88, 2023, doi : 10.30998/formatif.v13i1.16522.

A. H. Schoenfeld, Why Are Learning and Teaching Mathematics So Difficult ? 2022.

C. H. Gontijo, Mathematics Education And Creativity: A Point Of View From The Systems Perspective On Creativity. Springer : Switzerland, 2018.

J. Lithner, “Principles for designing mathematical tasks that enhance imitative and creative reasoning,” Zdm, vol. 49, no. 6, pp. 937–949, 2017.

D. Moore-Russo and E. L. Demler, Linking Mathematical Creativity To Problem Solving: Views From The Field. Springer : Switzerland, 2018.

R. E. Simamora, J. B. Darmayasa, J. Gloria, and U. B. Tarakan, “Why is the mathematics educator called inspiring ?,” Handbook of Cognitive Mathematics, vol. 5, no. 1, pp. 147–168, 2022.

P. Regier and M. Savic, “How teaching to foster mathematical creativity may impact student self-efficacy for proving,” J. Math. Behav., vol. 57, no. 1, pp. , 2020.

A. Bicer, Y. Lee, C. Perihan, M. M. Capraro, and R. M. Capraro, “Considering mathematical creative self-efficacy with problem posing as a measure of mathematical creativity,” Educ. Stud. Math., vol. 105, no. 3, pp. 457–485, 2020, doi: 10.1007/s10649-020-09995-8.

D. Abrahamson, B. Zolkower, and E. Stone, Reinventing Realistic Mathematics Education at Berkeley—Emergence and Development of a Course for Preservice Teachers. Springer International Publishing : New York, 2020.

K. Komarudin, Y. Yuberti, D. D. Pratiwi, M. Afandi, R. Wardani, and L. Puspita, “Improving students’ mathematic concept understanding viewed from self-efficacy with RME-based krulik rudnick heuristic learning model,” Indones. J. Sci. Math. Educ., vol. 5, no. 3, pp. 330–340, 2022.

R. N. Siregar and S. Prabawanto, “Increasing students’ self-efficacy through a realistic mathematical education,” J. Innov. Math. Learn., vol. 4, no. 2, pp. 63–74, 2021.

R. Suparatulatorn and N. Jun-on, “Exploring problem-solving through the intervention of technology and realistic mathematics education in the calculus content course,” Journal on Mathematics Education, vol. 14, no. 1, pp. 103–128, 2023.

R. C. I. Prahmana, “Ethno ‑ realistic mathematics education : The promising learning approach in the city of culture,” SN Soc. Sci., vol. 2, no. 12, pp. 1–19, 2022, doi: 10.1007/s43545-022-00571-w.

R. L. Cohen, “Playing with numbers: Using top trumps as an ice-breaker and introduction to quantitative methods,” Enhancing Learn. Soc. Sci., vol. 6, no. 2, pp. 21–29, 2014.

K. M. Kurianski, A. S. Marzocchi, and R. C. Soto, “Tools for humanizing mathematics classes in a virtual world (and beyond),” Int. J. Math. Educ. Sci. Technol., vol. 53, no. 3, pp. 698–707, 2022.

G. M. Tugbong and K. L. C. Alistre, “An an exploration of icebreakers and their impact on student engagement in the classroom,” Int. J. Soc. Serv. Res., vol. 3, no. 11, pp. 2921–2930, 2023, doi : 10.46799/ijssr.v3i11.566.

K. Meeker and P. Thompson, “The evolution of technology for the mathematics classroom,” TechTrends, vol. 67, no. 5, pp. 843–850, 2023.

A. Billman, A. Harding, and J. Engelbrecht, “Does the chalkboard still hold its own against modern technology in teaching mathematics? A case study,” Int. J. Math. Educ. Sci. Technol., vol. 49, no. 6, pp. 809–823, 2018.

S. R. Rudow and J. E. Finck, “Pointing with power Or creating with chalk,” Contemp. Issues Educ. Res., vol. 8, no. 3, pp. 123–134, 2015.

K. Charmaz, Constructing grounded theory. Sage Publications : Los Angeles, 2014.




DOI: http://dx.doi.org/10.24042/ijsme.v7i2.21221

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