Hypothetical learning trajectory trigonometry based on problem-based learning with Jambi Malay ethnomathematics nuances

Vikri Hamdani, Armiati Armiati, I Made Arnawa, Elita Zusti Jamaan

Abstract


Background: Trigonometry is a challenging subject for many high school students. Incorporating cultural relevance, such as Jambi Malay ethnomathematics, into teaching can be a way to facilitate understanding. This study focuses on developing a hypothetical learning trajectory (HLT) tailored to Class X high school students on the topic of trigonometry.
Aim: The primary goal of this research is to create a valid, practical, and effective HLT for trigonometry based on problem-based learning, integrating the nuances of Jambi Malay culture.
Method: This study employed a combination of two design research models: the Plomp model and the Gravemeijer and Cobb model. The research was conducted in three stages: 1) initial investigation, 2) product development, and 3) assessment. Expert validation and practical testing were carried out to assess the quality of the HLT.
Result: Validation by experts indicated that the developed HLT achieved a score of 3.69, falling into the "very valid" category. Practicality testing revealed a score of 80.14, categorizing it as practical. Moreover, the HLT proved effective in enhancing students' mathematical communication skills.
Conclusion: The developed Trigonometry HLT based on problem-based learning and integrated with Jambi Malay ethnomathematics is valid, practical, and effective. It not only adheres to quality benchmarks but also significantly improves students' mathematical communication abilities. Therefore, it fulfills the criteria for being a suitable and effective teaching approach.


Keywords


Hypothetical Learning Trajectory; Trigonometry; Problem-Based Learning ; Jambi Malay Ethnomathematics.

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References


Ainin, Q., Mulyono, M., & Syahputra, E. (2020). Development of Cooperative Learning Think-Talk-Write (TTW) Models Based on Batak Culture to Improve Students’ Mathematical Critical Thinking Ability. Al-Jabar : Jurnal Pendidikan Matematika, 11(2), 287–298. https://doi.org/10.24042/ajpm.v11i2.7289

Akker, J. Van Den, Bannan, B., Kelly, A. E., Nieveen, N., & Plomp, T. (2013). Educational Design Research Part A : An Introduction. Netherlands Institute for Curriculum Development (SLO).

Aminudin, M., Nusantara, T., Parta, I. N., Rahardjo, S., As’Ari, A. R., & Subanji. (2019). Engaging problems on trigonometry: Why were student hard to think critically? Journal of Physics: Conference Series, 1188(1). https://doi.org/10.1088/1742-6596/1188/1/012038

Ardila, A., Marzal, J., & Siburian, J. (2021). Pengembangan Perangkat Pembelajaran Trigonometri Model Flipped Classroom untuk Meningkatkan Kemampuan Komunikasi Matematis Siswa The Development of Flipped Classroom Model Trigonometry Learning Tools improves Students ’ Mathematical Communication Skills. Edumatica : Jurnal Pendidikan Matematika, 11(3), 65–77.

Armiati, -, Maximovna, S., & Armiati, -. (2018). The Development of Hypothetical Learning Trajectory (HLT) Based on Problem Based Learning Topic Class VII SMP/ MTS. 285(Icm2e), 334–338. https://doi.org/10.2991/icm2e-18.2018.76

Armiati, & Hidayati, I. (2023). Desain Pembelajaran Trigonometri Berbasis Contextual Teaching And Learning Bernuansa Etnomatematika Melayu Riau. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(1), 625–635.

Astuti, W., & Wijaya, A. (2021). Learning trajectory berbasis proyek pada materi definisi himpunan. Jurnal Riset Pendidikan Matematika, 7(2), 254–266. https://doi.org/10.21831/jrpm.v7i2.16483

Carballo, A. M., Damián Mojica, A., & Marmolejo Vega, J. E. (2022). Hypothetical Learning Trajectory for Assimilating the Articulated Concepts of Quadratic Function and Equation Through Variational Ideas and the Use of GeoGebra in Pre-University Students. International Electronic Journal of Mathematics Education, 17(2), em0678. https://doi.org/10.29333/iejme/11714

F.A, A. N., Asfar, A. M. I. T., Asfar, A. M. I. A., & Syaifullah, A. (2021). Improving students’ mathematical logical intelligence through the online-based integration of local wisdom of Sulapa Eppa Walasuji. Al-Jabar : Jurnal Pendidikan Matematika, 12(2), 283–294. https://doi.org/10.24042/ajpm.v12i2.9575

Julita, J. (2018). Peningkatan Kemampuan Pemecahan Dan Hasil Belajar Matematika Melalui Problem Based-Learning. Mosharafa: Jurnal Pendidikan Matematika, 7(1), 143–154. https://doi.org/10.31980/mosharafa.v7i1.350

Khoirudin, K., & Rizkianto, I. (2018). Pengembangan Perangkat Pembelajaran Problem Based Learning Dan Learning Trajectory Yang Berorientasi Pada Kemampuan Penalaran Matematis Siswa. Mosharafa: Jurnal Pendidikan Matematika, 7(2), 207–218. https://doi.org/10.31980/mosharafa.v7i2.34

Maidiyah, E., Anwar, N., Mailizar, M., Zaura, B., Suryawati, S., & Harnita, F. (2021). Mathematical Reasoning Ability of Junior High School Students Through Problem Based Learning Model with Ethnomathematical Nuance. Kreano, Jurnal Matematika Kreatif-Inovatif, 12(2), 276–287. https://doi.org/10.15294/kreano.v12i2.30497

Meriyati, M., Shaulita, R., & Nurma Turnip, L. (2018). Problem Based Learning Strategy: the Impact on Mathematical Learning Outcomes viewed from Anxiety Levels. Al-Jabar : Jurnal Pendidikan Matematika, 9(2), 199–208. https://doi.org/10.24042/ajpm.v9i2.3719

Muhammad, I., Herizal, Marhami, Rizkiani, S., & Lianti, V. (2023). Pengembangan Buku Matematika SMP Kelas VIII Berbasis Etnomatematika Terintegrasi Kemampuan Komunikasi Matematis. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(1), 882–894. https://doi.org/https://doi.org/10.24127/ajpm.v12i1.6522

Nupus, O. V., Armiati, A., & Arnawa, I. M. (2022). Hypothetical Learning Trajectory Design of Sinus Rules Based on PBL with Ethnomathematics of Minangkabau Culture. Jurnal Gantang, 7(1), 83–90. https://doi.org/10.31629/jg.v7i1.4474

Oktaviana, F., & Suparman. (2020). Design of student worksheet according to PBL model to stimulate problem-solving skills. International Journal of Scientific and Technology Research, 9(3), 4693–4699.

Plomp, T., & Nieveen, N. (2013). An Introduction to Educational Design Research. Proceedings of the Seminar Conducted at the East China Normal University, Shanghai (PR China).

Putri, M. E., Yerizon, & Khaidir, C. (2021). Development of Problem-Based Learning (PBL) Instrument to Improve Mathematical Communication. Journal of Physics: Conference Series, 1742(1). https://doi.org/10.1088/1742-6596/1742/1/012023

Rahmawati, A., Anggraini, D., & Masykur, R. (2019). Pengembangan Modul Berbasis POE (Predict Observe Explain) Pada Materi Trigonometri. Kreano, Jurnal Matematika Kreatif-Inovatif, 10(2), 193–201. https://doi.org/10.15294/kreano.v10i2.20337

Ramadhani, R., Farid, F., Lestari, F., & Machmud, A. (2020). Improvement of Creative Thinking Ability through Problem-Based Learning with Local Culture Based on Students’ Gender and Prior Mathematics Ability. Al-Jabar : Jurnal Pendidikan Matematika, 11(1), 61–72. https://doi.org/10.24042/ajpm.v11i1.4961

Rismen, S., Mardiyah, A., & Puspita, E. M. (2020). Analisis Kemampuan Penalaran dan Komunikasi Matematis Siswa. Mosharafa: Jurnal Pendidikan Matematika, 9(2), 263–274. https://doi.org/10.31980/mosharafa.v9i2.608

Safitri, F. N., Reffiane, F., & Subekti, E. E. (2020). Model Problem Based Learning (PBL) Berbasis Etnomatematika pada Materi Geometri Terhadap Hasil Belajar. MIMBAR PGSD Undiksha, 8(3), 492–498. https://ejournal.undiksha.ac.id/index.php/JJPGSD/article/view/29040

Shofiah, S., Lukito, A., Yuli, T., & Siswono, E. (2018). Pembelajaran Learning Cycle 5E Berbasis Pengajuan Masalah untuk Meningkatkan Hasil Belajar Siswa Kelas X pada Topik Trigonometri. Kreano: Jurnal Matematika Kreatif-Inovatif, 9(1), 54–62.

Siagian, M. V., Saragih, S., & Sinaga, B. (2019). Development of Learning Materials Oriented on Problem-Based Learning Model to Improve Students’ Mathematical Problem Solving Ability and Metacognition Ability. International Electronic Journal of Mathematics Education, 14(2), 331–340. https://doi.org/10.29333/iejme/5717

Simamora, R. E., Saragih, S., & Hasratuddin, H. (2019). Improving Students’ Mathematical Problem Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context. International Electronic Journal of Mathematics Education, 14(1), 61–72. https://doi.org/10.12973/iejme/3966

Simon, M. (2014). Hypothetical Learning Trajectories in Mathematics Education. In In Encyclopedia of Mathematics Education (pp. 272–275). Springer, Dordrecht. https://doi.org/https://doi.org/10.1007/978-94-007-4978-8_72

Subroto, T., & Sholihah, W. (2018). Analisis Hambatan Belajar Pada Materi Trigonometri Dalam Kemampuan Pemahaman Matematis Siswa. IndoMath: Indonesia Mathematics Education. https://doi.org/10.30738/indomath.v1i2.2624

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




DOI: http://dx.doi.org/10.24042/ajpm.v14i2.17232

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