Main Article Content
Abstract
This study addresses the challenges faced by students in comprehending and articulating the concepts of cost, selling price, and profit, despite their ability to perform related calculations. Contributing factors include a limited learning context and a didactic approach that often prioritizes rote memorization of formulas, thereby hindering a deeper understanding of these concepts. The objective of this research is to design a learning trajectory utilizing the context of New Pempek Mathematics, an innovative adaptation of the traditional Pempek dish, represented in geometric forms such as cones, trapezoidal prisms, cuboids, and cubes, to facilitate students' understanding of cost price, selling price, and profit. The study employs a design research methodology, consisting of three stages: preliminary design, experimental design, and retrospective analysis. The study involved 31 junior high school students from Belitang, Indonesia. Data collection was conducted using a variety of instruments, including student worksheets, video recordings of lessons, interviews with students, and photographs of their presentation work. The proposed learning trajectory, centered around the New Pempek Mathematics production project, emphasizes activities such as identifying cost price, estimating selling price, and calculating profit. The findings indicate that integrating mathematics with local cultural contexts, such as New Pempek Mathematics, enhances student engagement and makes the learning experience more relevant, thus improving students' understanding of these fundamental economic concepts.
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References
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- Kuhnlein, harriet V., & Receveur, O. (1996). Dietary change and traditional food systems of indigenous people. Annual Reviews, 16(1), 417–442. https://doi.org/10.1146/annurev.nu.16.070196.002221
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- Pinto, L. E., & Blue, L. E. (2016). Pushing the entrepreneurial prodigy: Canadian Aboriginal entrepreneurship education initiatives. Critical Studies in Education, 57(3), 358–375. https://doi.org/10.1080/17508487.2015.1096291
- Prahmana, R. C. I., Sagita, L., Hidayat, W., & Utami, N. W. (2020). Two decades of realistic mathematics education research in Indonesia: A survey. Infinity, 9(2), 223-246. https://doi.org/10.22460/infinity.v9i2.p223-246
- Proust, C., & Middeke-Conlin, R. (2014). Interest, price, and profit - an overview of mathematical economics in YBC 4698. Cuneiform Digital Library Journal (CDLJ), 3(June), 1–21. http://cdli.ucla.edu/pubs/cdlj/2014/cdlj2014_003.h
- 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
- Risdiyanti, I., & Prahmana, R. C. I. (2021). Designing learning trajectory of set through the Indonesian shadow puppets and mahabharata stories. Infinity Journal, 10(2), 331–348. https://doi.org/10.22460/infinity.v10i2.p331-348
- Rosa, M., Shirley, L., Gavarrete, M. E., & Alangui, W. V. (2017). Topic study group no. 35: Role of Ethnomathematics in Mathematics Education. 35, 543–548. https://doi.org/10.1007/978-3-319-62597-3_62
- Sagita, L., Putri, R. I. I., Zulkardi, & Prahmana, R. C. I. (2022). Promising research studies between mathematics literacy and financial literacy through project-based learning. Journal on Mathematics Education, 13(4), 753-772. http://doi.org/10.22342/jme.v13i4.pp753-772
- Sawatzki, C., & Goos, M. (2018). Cost, price, and profit : What influences students’ decisions about fundraising?. Mathematics Education Research Journal, 30(4), 525–544. https://doi.org/https://doi.org/10.1007/s13394-018-0241-y
- Sawatzki, C., & Sullivan, P. (2018). Shopping for shoes: Teaching students to apply and interpret mathematics in the real world. International Journal of Science and Mathematics Education, 16(7), 1355–1373. https://doi.org/10.1007/s10763-017-9833-3
- Siligar, E. . P., Somakim, S., & Hapizah, H. (2018). Permutations learning via role playing. Journal of Education and Learning (EduLearn), 12(3), 422–431. https://doi.org/10.11591/edulearn.v12i3.9241
- Stacey, K., Almuna, F., Caraballo, R. M., Chesné, J. F., Garfunkel, S., Gooya, Z., ... & Zulkardi. (2015).PISA’s influence on thought and action in mathematics education. In K. Stacey, & R. Turner (Eds.), Assessing Mathematical Literacy: The PISA Experience (pp. 275-306). Springer. https://doi.org/10.1007/978-3-319-10121-7_15
- Wargadalem, F. R., Wasino, & Yulifar, L. (2023). Pempek Palembang: history, food making tradition, and ethnic identity. Journal of Ethnic Foods, 10(1). https://doi.org/10.1186/s42779-023-00209-z
- Wijaya, A., Elmaini, & Doorman, M. (2021). A learning trajectory for probability: A case of game-based learning. Journal on Mathematics Education, 12(1), 1–16. https://doi.org/10.22342/JME.12.1.12836.1-16
- 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, 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 (pp. 325–340). Springer. https://doi.org/10.1007/978-3-030-20223-1_18
- Zulkardi, Z., & Putri, R. I. I. (2020). Supporting mathematics teachers to develop jumping task using PISA framework (JUMPISA). Jurnal Pendidikan Matematika, 14(2), 199–210. https://doi.org/10.22342/jpm.14.2.12115.199-210
References
Akker, J. van den, Bannan, B., Anthony E. Kelly, Nieveen, N., & Plomp, T. (2013). Educational design research educational design research. SLO-Netherlands institute for curriculum development. https://r.search.yahoo.com/_ylt=AwrPpenFujBnMgIAiObLQwx.;_ylu=Y29sbwNzZzMEcG9zAzEEdnRpZAMEc2VjA3Ny/RV=2/RE=1732456389/RO=10/RU=https%3a%2f%2fwww.slo.nl%2fpublish%2fpages%2f4474%2feducational-design-research-part-a.pdf/RK=2/RS=K1QNtYuqng.hBsFYF9N8SrLzllg-
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
Foundation for Young Australians (2016). Enterprise skills and careers education in schools: Why Australia needs a national strategy. Retrieved from https://www.fya.org.au/wp-content/uploads/2015/11/Enterpriseskills-and-careers-education-why-Australia-needs-a-national-strategy_April2016.pdf
Bakker, A. (2018). Design Research in Education (A Practical Guide for Early Career Researchers). Routledge. https://doi.org/10.4324/9780203701010
Confrey, J., Gianopulos, G., Mcgowan, W., & Shah, M. (2017). Scaffolding learner-centered curricular coherence using learning maps and diagnostic assessments designed around mathematics learning trajectories. ZDM Mathematics Education. 49, 717-734(2017). https://doi.org/10.1007/s11858-017-0869-1
d’Entremont, Y. (2015). Linking mathematics, culture and community. Procedia - Social and Behavioral Sciences, 174(1999), 2818–2824. https://doi.org/10.1016/j.sbspro.2015.01.973
Eickholt, J., Jogiparthi, V., Seeling, P., Hinton, Q., & Johnson, M. (2019). Supporting project-based learning through economical and flexible learning spaces. Education Sciences, 9(3). https://doi.org/10.3390/educsci9030212
Fauzan, A., Armiati, A., & Ceria, C. (2018). A learning trajectory for teaching social arithmetic using RME approach. IOP Conference Series: Materials Science and Engineering, 335(1). https://doi.org/10.1088/1757-899X/335/1/012121
Gravemeijer, K. & Cobb, P. (2013). Design research from the learning design perspective. In: T. Plomp & N. Nieveen (Eds.), Educational design research Part A: An introduction (pp. 72–113), Enschede: SLO.
Guerrero, L., Guàrdia, M. D., Xicola, J., Verbeke, W., Vanhonacker, F., Zakowska-Biemans, S., Sajdakowska, M., Sulmont-Rossé, C., Issanchou, S., Contel, M., Scalvedi, M. L., Granli, B. S., & Hersleth, M. (2009). Consumer-driven definition of traditional food products and innovation in traditional foods. A qualitative cross-cultural study. Appetite, 52(2), 345–354. https://doi.org/10.1016/J.APPET.2008.11.008
Heuvel-Panhuizen, M. Van den, & Drijvers, P. (2020). Enclyclopedia of mathematics education. In Journal of Research in Mathematics Education (Vol. 4, Issue 3, pp. 713–717). Springer International Publishing. https://doi.org/10.17583/redimat.2015.1786
Kuhnlein, harriet V., & Receveur, O. (1996). Dietary change and traditional food systems of indigenous people. Annual Reviews, 16(1), 417–442. https://doi.org/10.1146/annurev.nu.16.070196.002221
Kurniasi, R., Prabawanto, S., & Dasari, D. (2022). Students’ learning obstacle in the topic of social arithmetic. International Conference on Mathematics and Science Education (ICMScE 2021). https://doi.org/https://doi.org/10.1063/5.0102463
Lestari, N., & Putri, R. I. I. (2020). Using the Palembang’s local context in PISA-Like mathematics problem for analyze mathematics literacy ability of students. Jurnal Pendidikan Matematika, 14(2), 169–182. https://doi.org/10.22342/jpm.14.2.6708.169-182
Madrazo, A. L., & Dio, R. V. (2020). Contextualized learning modules in bridging students’ learning gaps in calculus with analytic geometry through independent learning. Journal on Mathematics Education, 11(3), 457–476. https://doi.org/10.22342/jme.11.3.12456.457-476
Malalina, M., Putri, R. I. I., Zulkardi, Z., & Hartono, Y. (2022). Ethnomathematics: Traveling trade on the Musi river. Proceedings of the Eighth Southeast Asia Design Research (SEA-DR) & the Second Science, Technology, Education, Arts, Culture, and Humanity (STEACH) International Conference (SEADR-STEACH 2021), 627, 116–122. https://doi.org/10.2991/assehr.k.211229.019
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
Palmér, H., & Johansson, M. (2018). Combining entrepreneurship and mathematics in primary school – what happens ? Education Inquiry, 9(4), 1–16. https://doi.org/10.1080/20004508.2018.1461497
Pinto, L. E., & Blue, L. E. (2016). Pushing the entrepreneurial prodigy: Canadian Aboriginal entrepreneurship education initiatives. Critical Studies in Education, 57(3), 358–375. https://doi.org/10.1080/17508487.2015.1096291
Prahmana, R. C. I., Sagita, L., Hidayat, W., & Utami, N. W. (2020). Two decades of realistic mathematics education research in Indonesia: A survey. Infinity, 9(2), 223-246. https://doi.org/10.22460/infinity.v9i2.p223-246
Proust, C., & Middeke-Conlin, R. (2014). Interest, price, and profit - an overview of mathematical economics in YBC 4698. Cuneiform Digital Library Journal (CDLJ), 3(June), 1–21. http://cdli.ucla.edu/pubs/cdlj/2014/cdlj2014_003.h
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
Risdiyanti, I., & Prahmana, R. C. I. (2021). Designing learning trajectory of set through the Indonesian shadow puppets and mahabharata stories. Infinity Journal, 10(2), 331–348. https://doi.org/10.22460/infinity.v10i2.p331-348
Rosa, M., Shirley, L., Gavarrete, M. E., & Alangui, W. V. (2017). Topic study group no. 35: Role of Ethnomathematics in Mathematics Education. 35, 543–548. https://doi.org/10.1007/978-3-319-62597-3_62
Sagita, L., Putri, R. I. I., Zulkardi, & Prahmana, R. C. I. (2022). Promising research studies between mathematics literacy and financial literacy through project-based learning. Journal on Mathematics Education, 13(4), 753-772. http://doi.org/10.22342/jme.v13i4.pp753-772
Sawatzki, C., & Goos, M. (2018). Cost, price, and profit : What influences students’ decisions about fundraising?. Mathematics Education Research Journal, 30(4), 525–544. https://doi.org/https://doi.org/10.1007/s13394-018-0241-y
Sawatzki, C., & Sullivan, P. (2018). Shopping for shoes: Teaching students to apply and interpret mathematics in the real world. International Journal of Science and Mathematics Education, 16(7), 1355–1373. https://doi.org/10.1007/s10763-017-9833-3
Siligar, E. . P., Somakim, S., & Hapizah, H. (2018). Permutations learning via role playing. Journal of Education and Learning (EduLearn), 12(3), 422–431. https://doi.org/10.11591/edulearn.v12i3.9241
Stacey, K., Almuna, F., Caraballo, R. M., Chesné, J. F., Garfunkel, S., Gooya, Z., ... & Zulkardi. (2015).PISA’s influence on thought and action in mathematics education. In K. Stacey, & R. Turner (Eds.), Assessing Mathematical Literacy: The PISA Experience (pp. 275-306). Springer. https://doi.org/10.1007/978-3-319-10121-7_15
Wargadalem, F. R., Wasino, & Yulifar, L. (2023). Pempek Palembang: history, food making tradition, and ethnic identity. Journal of Ethnic Foods, 10(1). https://doi.org/10.1186/s42779-023-00209-z
Wijaya, A., Elmaini, & Doorman, M. (2021). A learning trajectory for probability: A case of game-based learning. Journal on Mathematics Education, 12(1), 1–16. https://doi.org/10.22342/JME.12.1.12836.1-16
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, 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 (pp. 325–340). Springer. https://doi.org/10.1007/978-3-030-20223-1_18
Zulkardi, Z., & Putri, R. I. I. (2020). Supporting mathematics teachers to develop jumping task using PISA framework (JUMPISA). Jurnal Pendidikan Matematika, 14(2), 199–210. https://doi.org/10.22342/jpm.14.2.12115.199-210