Hypothetical Learning Trajectory in Scientific Approach on Material Direct Proportion: Context of Rice Farmers' Activities Pandanwangi Cianjur
Keywords:
Learning Trajectory, Scientific Approach, Direct Proportion, Ethnomathematics, Farmers.Abstract
Rice farmer activities can be used as a context for understanding mathematical concepts. There are many studies on Hypothetical Learning Trajectory (HLT) on direct proportion material with a cultural context background. However, there is no research that focuses on using the context of Pandanwangi rice farmers to facilitate students in understanding material in direct proportion.This study aims to design Hypothetical Learning Trajectory (HLT) in Scientific Approach on Material Direct Proportion in the Context of Rice Farmers' Activities in Pandanwangi Cianjur, who are familiar with student culture in Cianjur. This research is part of design research. The research design consisted of HLT, namely learning objectives, learning activities, and student learning hypotheses. The result of the research is the set of HLT in the context of Pandanwangi Rice Farmer Activities, which includes learning objectives, learning activities, and the assumptions of each activity. This HLT can be a promising solution to overcome students' difficulties in understanding the concept of direct proportion and values in a cultural context to improve students' character.References
Carel, G., Sugiarni, R., Algifari, E., & Yastrib, H. (2018). Implementasi Pilar-Pilar Budaya Cianjur Dalam Pembelajaran Multiliterasi Matematis Berbantuan Teknologi Smartphone (Geogebra Versi Android) Untuk Meningkatkan Kemampuan Higher Order Thinking Skill (Hots) Siswa Sekolah Kejuruan. Prisma, 70(1), 70–81. https://doi.org/https://doi.org/10.35194/jp.v7i1.342
Clements, D. H., & English, L. D. (2004). Hypothetical learning trajectories. Psychology Press. 5(1) (pp. 81–89). https://doi.org/https://doi.org/10.1207/s15327833mtl0602_1
D’Ambrosio, U. (1985). Ethnomathematics and Its Place in the History and Pedagogy of Mathematics. In For the Learning of Mathematics, 5, 44-48. https://doi.org/https://www.jstor.org/stable/40247876
D’Ambrosio, U. (2016). An Overview of the History of Ethnomathematics. In Current and future perspectives of ethnomathematics as a program (pp. 5–10). Springer. https://doi.org/10.1007/978-3-319-30120-4_2
Firman, Baedhowi, & Murtini, W. (2018). The Effectiveness of The Scientific Approach to Improve Student Learning Outcomes. International Journal of Active Learning, 3(2), 86–91.
Freudenthal, H. (2006). Revisiting mathematics education: China lectures. Springer Science & Business Media, 9, XII, 202. https://doi.org/https://doi.org/10.1007/0-306-47202-3
Gavarrete, M. E., & Albanese, V. (2021). 50 Meters East From the Ancient Big Fig Tree: Cultural Ways of Approaching Spatial Location With Ethnomathematical Potential. Bolema - Mathematics Education Bulletin, 35(71), 1678–1700. https://doi.org/10.1590/1980-4415V35N71A21
Gravemeijer, K., & Cobb, P. (2020). Design research from a learning design perspective. Educational Design Research, 29–63. https://doi.org/10.4324/9780203088364-12
Hirzi, R. H., & Gazali, M. (2020). Ethnomathematic Worksheet by Scientific Aproachs. Journal of Physics: Conference Series, 1539(1), 012078. https://doi.org/10.1088/1742-6596/1539/1/012078
Ifanda, A. R., Sugiarni, R., Sugiarni, E., & Muharromah, N. N. (2017). Meningkatkan Kemampuan Spasial Matematis Siswa Dengan Pendekatan Saintifik Berbantuan Geogebra Di Lingkungan Pesantren. In UNION: Jurnal Ilmiah Pendidikan Matematika, 5(3), 219-228. download.garuda.kemdikbud.go.id. https://doi.org/10.30738/.v5i3.1217
In’am, A., & Hajar, S. (2017). Learning geometry through discovery learning using a scientific approach. International Journal of Instruction, 10(1), 55–70. https://doi.org/10.12973/iji.2017.1014a
Indriyani, D. (2021). Urgency value of local awareness pillars of Cianjur culture in forming a community 5.0. Proceedings International Conference on Education of Suryakancana, 27–33. https://doi.org/https://doi.org/10.35194/cp.v0i0.1314
Indriyani, D., Komalasari, K., Malihah, E., & Fitriasari, S. (2022). Value of Local Wisdom in the Pillars of Cianjur Culture. Proceedings of the Annual Civic Education Conference (ACEC 2021), 636. https://doi.org/10.2991/assehr.k.220108.013
Khairudin. (2022). Hypothetical Learning Trajectory of Limit and Derivative Based on Realistic Mathematics Education. Specialusis Ugdymas, 1(43), 3608–3624. https://doi.org/https://www.sumc.lt/index.php/se/article/view/428
Kusumaningsih, W. (2022). Designing hypothetical learning trajectory for lines and angles using Central Java traditional house context. In AIP Conference Proceedings, 2577, 020032. https://doi.org/10.1063/5.0096084
Lena, M. S., Netriwati, N., & Suryanita, I. (2019). Development of teaching materials of elementary school student with a scientific approach characterized by ethnomathematics. Journal of Physics: Conference Series, 1318(1), 012060. https://doi.org/10.1088/1742-6596/1318/1/012060
Made Arnawa, I., & Nasuha Ismail, R. (2020). Improving Student’s Mathematical Communication Skills Through Mathematics Worksheet Based on Realistic Mathematics Education. In International Journal of Advanced Research and Publications (IJARP), 4(1), 42-46. http://www.ijarp.org/online-papers-publishing/jan2020.html.
Mardiah, N., Armiati, Permana, D., Yerizon, & Arnawa, I. M. (2021). The Validity of Hypothetical Learning Trajectory Based on Realistic Mathematic Education on Function Topics for Grade X Senior High School. In Journal of Physics: Conference Series, 1742(1), 012005. https://doi.org/10.1088/1742-6596/1742/1/012005
Muslimin, Indra Putri, R. I., Zulkardi, & Aisyah, N. (2020). Learning integers with realistic mathematics education approach based on islamic values. Journal on Mathematics Education, 11(3), 363–384. https://doi.org/10.22342/JME.11.3.11721.363-384
Muttaqin, H., Putri, R. I. I., & Somakim. (2017). Design research on ratio and proportion learning by using ratio table and graph with OKU Timur context at the 7 th grade. Journal on Mathematics Education, 8(2), 211–222. https://doi.org/10.22342/jme.8.2.3969.211-222
Nursa, N. F., Hartono, Y., & Somakim. (2020). On teaching learning for proportion using musi tour context. Journal of Physics: Conference Series, 1480(1), 012026. https://doi.org/10.1088/1742-6596/1480/1/012026
Nursyahidah, F., Albab, I. U., & Saputro, B. A. (2021). Learning dilation through Lawang Sewu context. Journal of Physics: Conference Series, 1957(1), 012001. https://doi.org/10.1088/1742-6596/1957/1/012001
Pathuddin, H., Kamariah, & Ichsan Nawawi, M. (2021). Buginese ethnomathematics: Barongko cake explorations as mathematics learning resources. Journal on Mathematics Education, 12(2), 295–312. https://doi.org/10.22342/jme.12.2.12695.295-312
Prahmana, R. C. I., Yunianto, W., Rosa, M., & Orey, D. C. (2021). Ethnomathematics: Pranatamangsa system and the birth-death ceremonial in yogyakarta. Journal on Mathematics Education, 12(1), 93–112. https://doi.org/10.22342/JME.12.1.11745.93-112
Risdiyanti, I., & Indra Prahmana, R. C. (2020). The learning trajectory of number pattern learning using barathayudha war stories and uno stacko. Journal on Mathematics Education, 11(1), 157–166. https://doi.org/10.22342/jme.11.1.10225.157-166
Rosa, M., & Orey, D. C. (2016). State of the Art in Ethnomathematics. In In Current and future perspectives of ethnomathematics as a program (pp. 11–37). Springer. https://doi.org/10.1007/978-3-319-30120-4_3
Rosa, M., & Orey, D. C. (2017). Ethnomodelling as the Mathematization of Cultural Practices. In G. A. Stillman, W. Blum, & G. Kaiser (Eds.), International Perspectives on the Teaching and Learning of Mathematical Modelling (pp. 153–162). Springer International Publishing. https://doi.org/10.1007/978-3-319-62968-1_13
Sarah, I., & Rani, S. (2020). Effectiveness of student worksheets on environmental project-based e-learning model in building student character. Journal of Physics: Conference Series, 1521(3), 032005. https://doi.org/10.1088/1742-6596/1521/3/032005
Shanty, N. O., Hartono, Y., Putri, R. I. I., & De Haan, D. (2011). Design research on mathematics education: Investigating the progress of Indonesian fifth grade students’ learning on multiplication of fractions with natural numbers. Journal on Mathematics Education, 2(2), 147–162. https://doi.org/10.22342/jme.2.2.749.147-162
Simon, M. A. (2020). Reconstructing Mathematics Pedagogy from a Constructivist Perspective. Journal for Research in Mathematics Education, 26(2), 114–145. https://doi.org/10.5951/jresematheduc.26.2.0114
Simon, M. A., Placa, N., Kara, M., & Avitzur, A. (2018). Empirically-based hypothetical learning trajectories for fraction concepts: Products of the Learning Through Activity research program. Journal of Mathematical Behavior, 52, 188–200. https://doi.org/10.1016/j.jmathb.2018.03.003
Sunardi, Setiawan, T. B., Yudianto, E., Sugiarti, T., Ambarwati, R., & Agustin, M. A. (2019). Ethnomathematics activities of coffee farmers in Sidomulyo jember area as project student sheet. In Journal of Physics: Conference Series, 1321(2), 022124. https://doi.org/10.1088/1742-6596/1321/2/022124
Suprayo, T., Noto, M. S., & Subroto, T. (2019). Ethnomathematics exploration on units and calculus within a village farmer community. In Journal of Physics: Conference Series, 1188 (1), 012104. https://doi.org/10.1088/1742-6596/1188/1/012104
Suwarno, Lestari, N. D. S., & Murtafiah, W. (2020). Exploring ethnomathematics activities to tobacco farmers’ community at Jember, East Java, Indonesia. In Journal of Physics: Conference Series, 1657(1), 012027. https://doi.org/10.1088/1742-6596/1657/1/012027
Tyaningsih, R. Y., Baidowi, B., & Maulyda, M. A. (2020). Integration of Character Education in Basic Mathematics Learning in the Digital Age. Proceedings of the 1st Annual Conference on Education and Social Sciences (ACCESS 2019), 465, 156–160. https://doi.org/10.2991/assehr.k.200827.040
Utami, N. W., Sayuti, S. A., & Jailani. (2020). An ethnomathematics study of the days on the javanese calendar for learning mathematics in elementary school. Elementary Education Online, 19(3), 1295–1305. https://doi.org/10.17051/ilkonline.2020.728063
Weskamp, S. (2019). Educational Design Research (S. Weskamp (ed.); pp. 35–62). Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-25233-5_3
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
Wijayanti, A., & Munandar, A. (2017). the Optimization of Scientific Approach Through Outdoor Learning With School Yard Basis. Unnes Science Education Journal, 6(1), 1465–1471. https://doi.org/10.15294/USEJ.V6I1.13835
Yulia, Y., Musdi, E., Afriadi, J., & Wahyuni, I. (2020). Developing a hypothetical learning trajectory of fraction based on RME for junior high school. In Journal of Physics: Conference Series, 1470(1), 012015. https://doi.org/10.1088/1742-6596/1470/1/012015
Yusmaniar, Y., Sudrajat, R. T., & Mustika, I. (2022). The Effectiveness of Learning to Write Explanation through a Scientific Approach Using Project-Based Learning. International Research and Critics Institute (BIRCI-Journal), 5(1), 2717–2723. https://doi.org/https://doi.org/10.33258/birci.v5i1.3882
Downloads
Published
Issue
Section
License
Authors who publish articles in JTAM (Jurnal Teori dan Aplikasi Matematika) agree to the following terms:
- Authors retain copyright of the article and grant the journal right of first publication with the work simultaneously licensed under a CC-BY-SA or The Creative Commons Attribution–ShareAlike License.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).