Enhancing students' mathematical representation profiles through Sekaten tradition-integrated e-worked examples
DOI:
https://doi.org/10.12928/jrkpf.v13i1.2102Keywords:
Mathematical representation, Local wisdom, Sekaten, Worked exampleAbstract
Low student proficiency in transforming physical phenomena into symbolic models often stems from overly abstract instruction and a lack of connection to local contexts. This study aims to evaluate the effectiveness of e-worked example media integrated with Sekaten local wisdom in enhancing students' mathematical representation profiles. Using an R&D approach with the ADDIE model, this quasi-experimental study employed a non-equivalent control group design involving 108 students. Data were analyzed using Item Response Theory and N-gain scores. Findings indicate a significant improvement in the experimental class, with an average N-gain of 75% and 89% of students reaching high-category proficiency. This significantly outperformed the control group, which showed only a 49% improvement. The integration of cultural context and structured cognitive guidance successfully bridged the gap between abstract physics and mathematical modeling while reducing cognitive load. These results show that culturally responsive digital tools are practical frameworks for contextualizing physics and improving the precision of symbolic representation.
References
[1] D. Kaya, A. Ö. Yaşar, İ. Çetin, and T. Kutluca, "The relationship between the 21st-century skills and computational thinking skills of prospective mathematics and science teachers," J. Pedagog. Res., Jan. 2025, doi: https://doi.org/10.33902/JPR.202531498
[2] Global Partnership for Education, "Education data highlights." Accessed: Apr. 30, 2026. [Online]. Available: https://www.globalpartnership.org/results/education-data-highlights
[3] C. Kain, C. Koschmieder, M. Matischek-Jauk, and S. Bergner, "Mapping the landscape: A scoping review of 21st century skills literature in secondary education," Teach. Teach. Educ., vol. 151, p. 104739, Dec. 2024, doi: https://doi.org/10.1016/j.tate.2024.104739
[4] N. Sridana, N. M. Alsulami, M. G. Isnawan, and I. K. Sukarma, "Problem-Solving Based Epistemic Learning Pattern: Optimizing Mathematical Representation Ability of Prospective Teachers and Pharmacists," Educ. Process Int. J., vol. 14, no. 1, 2025, doi: https://doi.org/10.22521/edupij.2025.14.21
[5] A. Alfianti, H. Kuswanto, A. D. Rahmat, and R. Nurdiyanto, "Development of DICTY-AR Integrated Local Wisdom to Improve Multiple Representation and Problem-Solving Skills," Int. J. Inf. Educ. Technol., vol. 13, no. 9, pp. 1383-1390, 2023, doi: https://doi.org/10.18178/ijiet.2023.13.9.1941
[6] M. Opfermann, A. Schmeck, and H. E. Fischer, "Multiple Representations in Physics and Science Education - Why Should We Use Them?," 2017, pp. 1-22. doi: https://doi.org/10.1007/978-3-319-58914-5_1
[7] Z. Fradinata, Kartini, and Maimunah, "Instrumen tes kemampuan representasi matematis materi relasi dan fungsi," J. Pendidik Indones., vol. 6, no. 2, pp. 88-98, Jul. 2025, doi: https://doi.org/10.61291/jpi.v6i2.98
[8] O. F. Islim et al., "A needs analysis study for the development of augmented reality applications in science and mathematics teaching for individuals with special educational needs," Educ. Inf. Technol., vol. 29, no. 10, pp. 12197-12227, Jul. 2024, doi: https://doi.org/10.1007/s10639-023-12339-7
[9] A. Rahmasari and H. Kuswanto, "The effectiveness of Problem-Based Learning physics pocketbook integrating Augmented Reality with the local wisdom of catapults in improving mathematical and graphical representation abilities," J. Technol. Sci. Educ., vol. 13, no. 3, p. 886, Sep. 2023, doi: https://doi.org/10.3926/jotse.1962
[10] M. H. Ridho, E. C. M. A., and J. A. Dahlan, "Analysis of Students' Mathematical Representation Ability on Phythagoras Theorem in Junior High School," in Proceedings of ICSES 2023-International Conference on Studies in Education and Social Sciences, Antalya, Turkiye: ISTES Organization, 2023, pp. 11-23.
[11] Z. A. Cashata, D. G. Seyoum, and F. E. Gashaw, "The Effect of Using Blended Jigsaw-4 Problem-Solving Instruction on Preservice Physics Teachers' Problem Solving Skill," Anatol. J. Educ., vol. 8, no. 2, pp. 35-52, Oct. 2023, doi: https://doi.org/10.29333/aje.2023.823a
[12] N. Nurzannah, M. Muliana, H. Herizal, F. Fajriana, and M. Mursalin, "The effect of REACT strategy assisted by GeoGebra software on students' mathematical representation ability," Malikussaleh J. Math. Learn., vol. 4, no. 2, p. 90, Oct. 2021, doi: https://doi.org/10.29103/mjml.v4i2.5709
[13] M. S. Ika Rahayu and H. Kuswanto, "The effectiveness of the use of the Android-based Carom games comic integrated to discovery learning in improving critical thinking and mathematical representation abilities," J. Technol. Sci. Educ., vol. 11, no. 2, p. 270, May 2021, doi: https://doi.org/10.3926/jotse.1151
[14] A. Priyadi and H. Kuswanto, "The Android-based comic of Gajah Mungkur Dam: Improving mathematical representation and critical thinking abilities," J. Technol. Sci. Educ., vol. 13, no. 1, p. 116, Jan. 2023, doi: https://doi.org/10.3926/jotse.1174
[15] M. Nainan and B. Balakrishnan, "Design and Evaluation of Worked Examples for Teaching and Learning Introductory Programming at Tertiary Level," Malaysian Online J. Educ. Technol., vol. 7, no. 4, pp. 30-44, Oct. 2019, doi: https://doi.org/10.17220/mojet.2019.04.003
[16] S. M. Adeniji and P. Baker, "Worked-examples instruction versus Van Hiele teaching phases: A demonstration of students' procedural and conceptual understanding," J. Math. Educ., vol. 13, no. 2, pp. 337-356, Aug. 2022, doi: https://doi.org/10.22342/jme.v13i2.pp337-356
[17] F. S. Widyaningtyas et al., "Creative Physics Problem Solving based on Local Culture to Improve Creative Thinking and Problem-Solving Skills," Pegem J. Educ. Instr., vol. 14, no. 1, pp. 234-243, 2024, doi: https://doi.org/10.47750/pegegog.14.01.26.
[18] R. Setiawan, I. Paramita, N. D. Napitupulu, and M. Jarnawi, "Pengembangan Media Pembelajaran Terintegrasi Kearifan Lokal Untuk Mengetahui Literasi Sains Pada Materi Fisika," JPFT (Jurnal Pendidik. Fis. Tadulako Online), vol. 13, no. 2, pp. 263-277, Aug. 2025, doi: https://doi.org/10.22487/jpft.v13i2.4794
[19] A. Agustinasari, E. Susilawati, S. Yulianci, R. Fiqry, and G. Gunawan, "The Implementation of Inquiry by Using Local Potential to Improve Critical Thinking Skills in Bima," J. Phys. Conf. Ser., vol. 1933, no. 1, p. 012078, Jun. 2021, doi: https://doi.org/10.1088/1742-6596/1933/1/012078
[20] A. M. R. Tumanggor, Supahar, and M. F. T. Nirmala, "The Development of Diagnostic Test Instrument for Verbal Representation Ability in High School Physics Learning," 2021. doi: https://doi.org/10.2991/assehr.k.210305.069
[21] A. Adlina and S. Supahar, "Developing Android Assisted Worked Example Application on Kinematics (Weak) to Improve Mathematical Representation Ability in High School Physics Learning," Int. J. Sci. Technol. Res., vol. 8, no. 10, pp. 3790-3793, 2019.
[22] T. T. Kiong, N. A. Nasir, N. Azid, M. M. Mohamad, W. M. Chang, and C. K. S. Singh, "Issues and solutions on inventive problems-solving skills (IPSS) in invention course," J. Cakrawala Pendidik., vol. 41, no. 2, pp. 464-480, May 2022, doi: https://doi.org/10.21831/cp.v41i2.43499
[23] H. Cevahir, M. Özdemir, and M. H. Baturay, "The Effect of Animation-Based Worked Examples Supported with Augmented Reality on the Academic Achievement, Attitude and Motivation of Students towards Learning Programming," Particip. Educ. Res., vol. 9, no. 3, pp. 226-247, May 2022, doi: https://doi.org/10.17275/per.22.63.9.3
[24] R. J. Adams and S.-T. Khoo, "ACER Quest: the interactive test analysis system. Version 2.1.," 1996. [Online]. Available: https://research.acer.edu.au/measurement/3/
[25] W. J. Boone, J. R. Staver, and M. S. Yale., "Rasch Analysis in the Human Sciences," J. Res. Des. Stat. Linguist. Commun. Sci., vol. 5, no. 1-2, pp. 208-211, Dec. 2019, doi: https://doi.org/10.1558/jrds.37535
[26] R. J. Cohen and M. E. Swerdlik, An Introduction to Tests and Measurement, 7th ed. New York: McGraw Hill, 2009.
[27] F. B. Baker and S.-H. Kim, The Basics of Item Response Theory Using R. in Statistics for Social and Behavioral Sciences. Cham: Springer International Publishing, 2017. doi: https://doi.org/10.1007/978-3-319-54205-8
[28] J. M. Linacre, "A User's Guide to Winsteps: Rasch-Model Computer Programs." Winsteps.com, 2020. [Online]. Available: https://www.winsteps.com/ARM/Winsteps-Manual.pdf
[29] K. Imama and C. Caswita, "An analysis of mathematical representation ability middle school students on concept congruence on learning style," Al-Jabar J. Pendidik. Mat., vol. 14, no. 1, pp. 153-163, Jun. 2023, doi: https://doi.org/10.24042/ajpm.v14i1.17320
[30] A. Y. Fitrianna, S. Dinia, M. Mayasari, and A. Y. Nurhafifah, "Mathematical Representation Ability of Senior High School Students: An Evaluation from Students' Mathematical Disposition," JRAMathEdu (Journal Res. Adv. Math. Educ., vol. 3, no. 1, p. 46, Jan. 2018, doi: https://doi.org/10.23917/jramathedu.v3i1.5872
[31] P. N. Mole, R. R. H. Hau, and A. Elizabeth, "Multi Representation Ability of Students in Solving Physics Problems on Straight Motion," Variabel, vol. 5, no. 1, p. 43, Apr. 2022, doi: https://doi.org/10.26737/var.v5i1.2592
[32] A. Solé-Llussà, D. Aguilar, and M. Ibáñez, "The Effect of an Instructional Intervention Based on the Use of Video-Worked Examples to Promote Elementary Students' Science Process Skills," Int. J. Educ. Math. Sci. Technol., vol. 10, no. 3, pp. 753-772, May 2022, doi: https://doi.org/10.46328/ijemst.2158
[33] D. Muliyati et al., "Development and evaluation of granular simulation for integrating computational thinking into computational physics courses," Educ. Inf. Technol., vol. 27, no. 2, pp. 2585-2612, Mar. 2022, doi: https://doi.org/10.1007/s10639-021-10724-8
[34] C. Mangkhang, P. Bisithpattanasara, A. Poonrungrote, O. Boriharnthanachot, and S. Wongchai, "Community-based Learning Tools for Strengthening Democracy Through the Transmission of Cultural Identity: The Case of Ethnics Pga K'nyau Food Culture in Special Socio-Cultural Zones of Chiang Mai, Thailand," High. Educ. Stud., vol. 15, no. 2, p. 426, May 2025, doi: https://doi.org/10.5539/hes.v15n2p426
[35] A. M. B. Ni'mah, J. Jumadi, R. Afifah, and S. Supahar, "Development of Gas Kinetic Theory Learning Tools: 5E & Brick Making for Computational Thinking," EduFisika J. Pendidik. Fis., vol. 10, no. 3, pp. 474-490, 2025, doi: https://doi.org/10.59052/edufisika.v10i2.45367.
[36] F. Kurnianto, A. D. Rahmat, and H. Kuswanto, "The Effect of Augmented Reality Integrated Traditional Games Nglarak Blarak to Improve Critical Thinking and Graphical Representation Skills," Pegem J. Educ. Instr., vol. 14, no. 2, Jan. 2024, doi: https://doi.org/10.47750/pegegog.14.02.41
[37] M. Alkhateeb, "Multiple Representations in 8th Grade Mathematics Textbook and the Extent to which Teachers Implement Them," Int. Electron. J. Math. Educ., vol. 14, no. 1, Dec. 2018, doi: https://doi.org/10.12973/iejme/3982
[38] A. A. Rahman, T. A. Santosa, M. E. Nurtamam, H. Widoyo, and A. Rahman, "Meta-Analysis: The Effect of Ethnoscience-Based Project Based Learning Model on Students' Critical Thinking Skills," J. Penelit. Pendidik. IPA, vol. 9, no. 9, pp. 611-620, Sep. 2023, doi: https://doi.org/10.29303/jppipa.v9i9.4871
[39] A. H. Closser, J. Y.-C. Chan, H. Smith, and E. Ottmar, "College Students' Input on the Design of Worked Examples for Online Environments," in Proceedings of the forty-fourth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Middle Tennessee State University, 2022, pp. 1598-1606.
[40] P. Chassy and J. Jones, "The role of mathematics in the learning of physics," Open Access J. Math. Theor. Phys., vol. 2, no. 1, pp. 6-8, Jan. 2019, doi: https://doi.org/10.15406/oajmtp.2019.02.00045
[41] E. Palmgren and T. Rasa, "Modelling Roles of Mathematics in Physics," Sci. Educ., vol. 33, no. 2, pp. 365-382, Apr. 2024, doi: https://doi.org/10.1007/s11191-022-00393-5
[42] F. Rasyid and Supahar, "Pengembangan Worked Example Kalor dan Perpindahannya Terintegrasi Kearifan Lokal Malino untuk Meningkatkan Kemampuan Representasi Grafik dan Berpikir Kritis Murid SMA dalam Pembelajaran Fisika," Universitas Negeri Yogyakarta, 2025.
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Reny Afifah, Supahar Supahar, Ayu Mar'ati Barokatun Ni'mah
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
