Double Discount at Pempek Stall: Learning Trajectory using New Math Pempek Menu List Contexts
Keywords:
Design Research, double discount, new pempek math, PMRIAbstract
A common mistake students make in understanding the concept of discounting, especially double discounting, is to directly add two percentages without considering the order of application and the change in the basis of subtraction after the first discount. Therefore, learning is needed that can help students overcome these problems. This study aims to develop a learning pathway to understand the concept of discounting through the context of the New Math Pempek menu list by utilizing the Indonesian Realistic Mathematics Education approach. The method used is a design research type validation study consisting of: preliminary design, design experiment, and retrospective analysis. The research subjects were 35 students of MTs. Data were collected through video recordings of the learning process, student worksheets, observation notes of student discussions, and interviews, then analyzed retrospectively. The results showed that the learning trajectory began with students understanding information from the menu, acting as buyers, estimating prices after discounts using a bar model, followed by a discussion of double discounts, and solving problems related to discounts in everyday life. This finding confirms the importance of using cultural contexts and real-life experiences to develop and facilitate students' understanding of mathematical concepts, so that learning becomes more meaningful.
Downloads
References
Adelia, V., Putri, R. I. I., Zulkardi, Z., & Mulyono, B. (2022). Learning trajectory for equivalent fraction learning: An insight. Journal of Honai Math, 5(1), 47–60. https://doi.org/10.30862/jhm.v5i1.233
Adha, I., Zulkardi, Putri, R. I. I., & Somakim. (2024). A Learning Trajectory for Surface Area Concept with the Context of the Tourist Destination Bukit Sulap. Mathematics Education Journal, 18(3), 409–430. https://doi.org/10.23107/jpm.v18i3.pp409-430
Amador, J., & Lamberg, T. (2013). Learning Trajectories, Lesson Planning, Affordances, and Constraints in the Design and Enactment of Mathematics Teaching. Mathematical Thinking and Learning, 15(2), 146–170. https://doi.org/10.1080/10986065.2013.770719
Bakker, A. (2018). Design Research in Education. Routledge: Taylor & Francis Group.
Doorman, M., Bakker, A., Drijvers, P., & Wijaya, A. (2016). Design-based research in mathematics education 1. Proceedings of the 2nd SULE – IC 2016, 1, 21–46.
Galen, F. Van, & Eerde, D. Van. (2013). Solving Problems with The Percentage Bar. IndoMS. J.M.E, 4(1), 1–8.
Gani, M. A., Tengah, K. A., & Said, H. (2019). Bar Model as Intervention in Solving Word Problem Involving Percentage. International Journal on Emerging Mathematics Education, 3(1), 69. https://doi.org/10.12928/ijeme.v3i1.11093
Isamer, N. P., Putri, R. I. I., & Zulkardi, Z. (2023). The kite project to improve junior high school students’ numeracy. Jurnal Elemen, 9(2), 351–370. https://doi.org/10.29408/jel.v9i2.7168
Joutsenlahti, J., & Perkkilä, P. (2024). Mastery of the Concept of Percentage and Its Representations in. Education Sciences, 14(10), 1–14. https://doi.org/https://doi.org/10.3390/educsci14101043
Kamid, & Ramalisa, Y. (2019). Pengembangan Modul Pembelajaran Matematika SMP Berbasis Budaya Jambi Untuk Siswa Autis. Edumatica : Jurnal Pendidikan Matematika, 09(01), 75–85. https://doi.org/https://doi.org/10.22437/edumatica.v9i1.6515
Karadeniz, Mihriban Hacısalihoğlu Karahan, A. (2020). Black Friday Discounts: Percentage Calculation Activities. Journal of Inquiry Based Activities, 10(2), 83–99. https://files.eric.ed.gov/fulltext/EJ1273635.pdf
Lamon, S. . (2020). Teaching Fractions and Ratios for Understanding: Essential Content Knowledge and Instructional Strategies for Teachers (4th ed.). Routledge. https://doi.org/https://doi.org/10.4324/9781003008057
Lestiana, H. T. (2021). What are the Difficulties in Learning Percentages? an Overview of Prospective Mathematics Teachers Strategies in Solving Percentage Problems. Indonesian Journal of Science and Mathematics Education, 4(3), 260–273. https://doi.org/10.24042/ijsme.v4i3.10132
Malalina, Indra Putri, R. I., Zulkardi, & Hartono, Y. (2024). Developing mathematics teaching materials using maritime context for higher-order thinking in junior high school. Journal on Mathematics Education, 15(1), 173–190. https://doi.org/10.22342/jme.v15i1.pp173-190
Meryansumayeka, Putri, R. I. I., & Zulkardi. (2019). How students learn fraction through pempek lenjer context. Journal of Physics: Conference Series, 1166(1). https://doi.org/10.1088/1742-6596/1166/1/012028
Niss, M. (2020). The Impact of Dutch MathematicsEducation on Danish MathematicsEducation. In: van den Heuvel-Panhuizen M, editor. International Reflections on the Netherlands Didactics of Mathematics. ICME-13 Monographs. Springer Nature. https://doi.org/https://doi.org/10.1007/978-3-030-20223-1_17
Prahmana, R. C. I., Sagita, L., Hidayat, W., & Utami, N. W. (2020). Two Decades of Realistic Mathematics Education Research in Indonesia: A Survey. Journal of Mathematics Education, 9(2), 223–246. https://doi.org/https://doi.org/10.22460/infinity.v9i2.p223-246
Prayitno, L. L., Mutianingsih, N., & Kurniawan, A. P. (2019). Errors of High School Students Solve Double Discount Problems. Proceedings of the SEMANTIK Conference of Mathematics Education (SEMANTIK 2019), 467(Semantik), 39–43.
Prayitno, L. L., Purwanto, Subanji, Susiswo, & Mutianingsih, N. (2022). Students ’ semantic reasoning characteristics on solving double discount problem. Journal of Research and Advances in Mathematics Education, 7(2), 77–92. https://doi.org/10.23917/jramathedu.v7i2.16325
Prediger, S., & Neugebauer, P. (2021). Can students with different language backgrounds profit equally from a language-responsive instructional approach for percentages ? Differential effectiveness in a field trial. Mathematical Thinking and Learning, 00(00), 1–21. https://doi.org/10.1080/10986065.2021.1919817
Putrawangsa, S., Febrian, & Hasanah, U. (2021). Developing Students ’ Understanding of Percentage : The Role of Spatial Representation. Mathematics Teaching Research Journal, 13(4), 4–26.
Putri, R. I. I., & Zulkardi. (2019). Designing a Jumping Task on Percent using PMRI and Collaborative Learning. International Journal on Emerging Mathematics Education, 3(1), 105–116. https://doi.org/http://dx.doi.org/10.12928/ijeme.v3i1.12208
Putri, R. I. I., Zulkardi, & Riskanita, A. D. (2022). Students’ problem-solving ability in solving algebra tasks using the context of Palembang. Journal on Mathematics Education, 13(3), 549–564. https://doi.org/10.22342/jme.v13i3.pp549-564
Putri, R. I. I., Zulkardi, Sagita, L., Sari, N., Siligar, E. I. ., & Sukma, Y. (2025). Learning numeracy using new Pempek mathematics. Journal on Mathematics Education, 16(1), 1–22. https://doi.org/https://doi.org/10.22342/jme.v16i1.pp1-22
Rahayu, P. T., & Putri, R. I. I. (2021). Project-Based Mathematics Learning : Fruit Salad. Journal on Mathematics Education, 12(1), 181–198. http://doi.org/10.22342/jme.12.1.13270.181-198
Ramadhan, M. H., Ilma, R., & Putri, I. (2022). Designing Learning Trajectory for Teaching Fractions Using PMRI Approach with a Chessboard Context. SJME (Supremum Journal of Mathematics Education), 6(2), 162–170. https://doi.org/10.35706/sjme.v6i2.5866
Ramadhani, R., Prahmana, R. C. I., Soeharto, & Saleh, A. (2024). Integrating traditional food and technology in statistical learning : A learning trajectory. Journal on Mathematics Education, 15(4), 1277–1310. https://doi.org/https://doi.org/10.22342/jme.v15i4.pp1277-1310
Rawani, D., Putri, R. I. I., Zulkardi, & Susanti, E. (2023). RME-based local instructional theory for translation and reflection using of South Sumatra dance context. Journal on Mathematics Education, 14(3), 545–562. https://doi.org/. http://doi.org/10.22342/jme.v14i3.pp545-562
Risdiyanti, I., Prahmana, R. C. I., & Shahrill, M. (2019). The learning trajectory of social arithmetic using an indonesian traditional game. Elementary Education Online, 18(4), 2094–2108. https://doi.org/10.17051/ilkonline.2019.639439
Sagita, L., Ilma, R., Putri, I., Charitas, R., & Prahmana, I. (2025). Choosing the Right Store : How Open-Ended Tasks Help Middle School Students Learn Financial Literacy. Jurnal Pendidikan Matematika, 19(1), 63–80. https://doi.org/https://doi.org/10.22342/jme.v16i1.pp1-22
Sari, A. F., & Noviartati, K. (2022). Penggunaan Konteks dalam Implementasi Pendidikan Matematika Realistik Indonesia oleh Mahasiswa. Jurnal Pendidikan Matematika (Judika Education), 5(2), 84–92. https://doi.org/10.31539/judika.v5i2.4616
Sari, F. Y., Zulkardi, Putri, R. I. I., & Susanti, E. (2025). Integrating Google Earth into Scale Learning : A Learning Trajectory Through Rice Field Size Exploration. Edumatica : Jurnal Pendidikan Matematika, 15(2), 198–212. https://doi.org/https://doi.org/10.22437/edumatica.v15i2.44693
Siligar, E. . P., Lesmana, H., & Zabeta, M. (2022). Understanding the concept of percent using the egg rack. Journal of Education and Learning (EduLearn), 16(4), 493–500. https://doi.org/10.11591/edulearn.v16i4.20676
Sumirattana, S., Makanong, A., & Thipkong, S. (2017). Using realistic mathematics education and the DAPIC problem-solving process to enhance secondary school students ’ mathematical literacy. Kasetsart Journal of Social Sciences, 38(3), 307–315. https://doi.org/10.1016/j.kjss.2016.06.001
Utami, M. R. P., Zulkardi, Susanti, E., & Meryansumayeka. (2025). Designing Learning Materials for Systems of Linear Equations in Two Variables in the Context of Jakabaring Tourism in Palembang. Edumatica: Jurnal Pendidikan Matematika, 14(03), 242–258. https://doi.org/https://doi.org/10.22437/edumatica.v14i3.38806
Utari, R. S. (2017). Desain Pembelajaran Materi Perbandingan Menggunakan Konteks Resep Empek-Empek Untuk Medukung Kemampuan Bernalar Siswa Smp. Jurnal Pendidikan Matematika RAFA, 3(1), 103–121. https://doi.org/10.19109/jpmrafa.v3i1.1444
Walid, A., Zulkardi, Putri, R. I. I., Susanti, E., & Mulyono, B. (2025). Designing a PMRI-Based Learning Trajectory for Algebraic Forms Using the Iftar Context. Edumatica : Jurnal Pendidikan Matematika, 15(2), 137–156. https://doi.org/10.22437/edumatica.v15i2.44218
Wibawa, K. A., Payadnya, I. P. A. A., Yasa, I. G. U., & Prahmana, R. C. I. (2022). The Learning Trajectory of Entrepreneurship Arithmetic Content using a Traditional Market. Mathematics Teaching-Research Journal, 14(3), 144–169.
Wilson, P. H., Sztajn, P., Edgington, C., & Myers, M. (2015). Teachers ’ Uses of a Learning Trajectory in Student-Centered Instructional Practices. Journal of Teacher Education, 66(3), 227–244. https://doi.org/10.1177/0022487115574104
Wulandari, A. F., Hakim, A. R., & Kasyadi, S. (2024). Eksplorasi Etnomatematika pada Makanan Tradisional Banyumas di Daerah Sokaraja Jawa Tengah Exploration of Ethnomathematics in Banyumas Traditional Food in Sokaraja Area , Central Java. Edumatica : Jurnal Pendidikan Matematika, 14(02), 173–185. https://doi.org/https://doi.org/10.22437/edumatica.v14i2.36947
Zuliana, E., Dwiningrum, S. I. A., Wijaya, A., & Hukom, J. (2025). The effect of culture-based mathematics learning instruction on mathematical skills: a meta-analytic study. Journal of Education and Learning, 19(1), 191–201. https://doi.org/10.11591/edulearn.v19i1.21172
Zulkardi. (2002). Developing A Learning Environment On Realistic Mathematics Education For Indonesian Student Teacher (Doctoral disertation, University of Twente, Enschede). Thesis University of Twente, Enschede. - With Refs. - With Summary in Ducth ISBN 90 365 18 45 8, 1–218. https://repository.unsri.ac.id/6353/%0Ahttps://repository.unsri.ac.id/6353/1/thesis_Zulkardi.pdf
Zulkardi, & Putri, R. I. I. (2019). New School Mathematics Curricula, PISA and PMRI in Indonesia. In In: Vistro-Yu, C., Toh, T. (eds) School Mathematics Curricula (Mathematic). Springer Singapore. https://doi.org/10.4324/9781003064275-1
Zulkardi, Z., Putri, R. I. I., & Wijaya, A. (2020). Two Decades of Realistic Mathematics Education in Indonesia. In M. van den Heuvel-Panhuizen (Eds.), International Reflections on the Netherlands Didactics of Mathematics. ICME-13 Monographs. Springer. https://doi.org/10.1007/978-3-030-20223-1_18
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 E.I Pusta Siligar, Ratu Ilma Indra Putri, Zulkardi Zulkardi, Hapizah Hapizah

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.




