Students’ Mathematical Creative Thinking and Learning Obstacles in Solving Ill-Structured Exponential Problems

Tsania Rahmatin, Jarnawi Afgani Dahlan, Al Jupri

Abstract


Mathematics, essential for fostering problem-solving skills, plays a critical role in education. However, the lack of creativity and flexibility among students in solving complex problems like ill-structured problems (ISPs) in exponential material indicates significant learning obstacles. This study aimed to identify and analyze the learning obstacles faced by senior high school students and explore their creative mathematical thinking abilities when addressing ISPs in exponents. Employing a qualitative descriptive method with a Didactical Design Research (DDR) framework, data were gathered through tests, observations, and semi-structured interviews. The study involved 40 purposively selected tenth-grade students from Bandung.  Findings reveal that students excel in fluency but struggle with flexibility and originality. Learning obstacles include ontogenic (limited conceptual understanding), didactic (restricted instructional variety), and epistemological (context-dependent reasoning). These obstacles impede students' creative thinking development, especially in producing unique solutions and utilizing alternative approaches. The study concludes that addressing these obstacles requires innovative teaching strategies, such as problem-based learning and didactical designs emphasizing exploration and creativity. These strategies can enhance creative thinking in mathematics, benefiting students' adaptability in academic and real-world challenges. Future research should focus on implementing and refining such designs across various mathematical topics. 


Keywords


Learning obstacles; ill-structured problems; creative mathematical thinking; exponential material; Didactical Design Research

Full Text:

PDF

References


Adelia, E. P. R., & Handayani, U. F. (2024). Kemampuan Berpikir Kreatif Matematis Siswa SMA Kelas X pada Materi Eksponen. Algebra: Journal of Matematics, Statistics and Computation, 1(2), 61–68.

Afifi, F. C., & Ali, A. M. (2023). The Implications of Providing Ill-Structured Problems on Student s ’ Learning Outcomes in the Topic of Polynomial. 12(4), 865–878.

Al - Ghofiqi, M., Irawati, S., & Rahardi, R. (2019). Analisis Berpikir Kreatif Siswa Berkemampuan Matematika Rendah Dalam Menyelesaikan Ill-Structured Problem. Jurnal Pendidikan: Teori, Penelitian, Dan Pengembangan, 4(10), 1386. https://doi.org/10.17977/jptpp.v4i10.12883

Andirasdini, I. F., & Fuadiyah, S. (2024). Pengaruh Model Pembelajaran Problem Baseed Learning Terhadap Keterampilan Berpikir Kreatif Peserta Didik Pada Pembelajaran Biologi : Literature Review. 10, 156–161. https://doi.org/10.22437/biodik.v10i2.33827

Azmi, H., & Ranti, M. G. (2024). Analisis Miskonsepsi Siswa Pada Materi Eksponen Berdasarkan Kemampuan Matematika Siswa. Koordinat Jurnal Pembelajaran Matematika Dan Sains, 5(1), 37–48. https://doi.org/10.24239/koordinat.v5i1.91

Brousseau, G. (2002). Theory of Didactical Situations in Mathematics. In Theory of Didactical Situations in Mathematics. Kluwer Academic. https://doi.org/10.1007/0-306-47211-2

Budinski, N. (2020). Exponential functions through a real-world context. Open Schools Journal for Open Science, 3(10). https://doi.org/10.12681/osj.24891

Campbell, S., Greenwood, M., Prior, S., Shearer, T., Walkem, K., Young, S., Bywaters, D., & Walker, K. (2020). Purposive sampling: complex or simple? Research case examples. Journal of Research in Nursing, 25(8), 652–661. https://doi.org/10.1177/1744987120927206

Cintia, N. I., Kristin, F., & Anugraheni, I. (2018). Penerapan Model Pembelajaran Discovery Learning untuk Meningkatkan Kemampuan Berpikir Kreatif dan Hasil Belajar Siswa. 32(1), 69–77.

Fitriani, S., & Yarmayani, A. (2018). Pengembangan Rubrik Berpikir Kreatif Siswa Menengah Atas Dalam Menyelesaikan Masalah Matematika. Mosharafa: Jurnal Pendidikan Matematika, 7(1), 33–38. https://doi.org/10.31980/mosharafa.v7i1.339

Fuadi, R., Johar, R., & Munzir, S. (2016). Peningkatkan kemampuan pemahaman dan penalaran matematis melalui pendekatan kontekstual. Jurnal Didaktika Matematika, 3(1), 47–54. https://jurnal.usk.ac.id/DM/article/view/4305

Jaelani, A. K., Amin, S. M., & Abadi, A. (2022). Exploring the Critical Thinking Process of Prospective Teachers with High Mathematics Ability in Solving Ill-Structured Problems. 627, 52–58.

Johar, R., Aslamiah, S., Husin, M., & Yanti, I. (2023). Teacher Efforts in Developing Student Creativity through Realistic Mathematics Education in Elementary School. Mosharafa: Jurnal Pendidikan Matematika, 12(4), 721–734. https://doi.org/10.31980/mosharafa.v12i4.1186

Kusumanegara, M. R. (2024). CONCEPT IMAGE SISWA PADA MATERI EKSPONEN DAN SIFAT-SIFATNYA: Sebuah Kajian Fenomenologi-Hermeneutis. repository.upi.edu. http://repository.upi.edu/id/eprint/122097

Mahato, S. K., Sahani, S. K., Sahani, K., Sah, B. K., & Karna, S. K. (2024). Study and Analysis of Some Real Life Applications of Exponential Function. 2(1), 13–26.

Nursanti, G., & Prihaswati, M. (2019). Analisis Pencapaian Kompetensi Kognitif Dan Self Confidence Siswa Pada Materi Fungsi Eksponen Melalui Two-Tier Test. Edusaintek, 688–694. https://prosiding.unimus.ac.id/index.php/edusaintek/article/view/295%0Ahttps://prosiding.unimus.ac.id/index.php/edusaintek/article/viewFile/295/298

Nuryanti, A., Wahyudin, & Fatimah, A. T. (2023). Indikator Kemampuan Berpikir Kreatif Matematis Siswa SMA Pada Artikel Jurnal Nasional. Prosiding Galuh Mathematics National Conference (GAMMA NC), 3(2), 117–125.

Setyaningsih, L., & Ekayanti, A. (2019). Keterampilan Berfikir Siswa SMP dalam Menyelesaikan Soal Matematika Ditinjau dari Kemampuan Number Sense. Jurnal Didaktik Matematika, 6(1), 28–39. https://doi.org/10.24815/jdm.v6i1.11699

Simon, H. A. (1973). The Structure of Ill Structured Problems. Elsevier, 4(3–4), 181–201. https://sciencedirect.com/science/article/abs/pii/0004370273900118

Sohilait, E. (2021). Pengaruh Model Discovery Learning Terhadap Kemampuan Berpikir Kreatif Matematis Siswa. Riemann Research of Mathematics and Mathematics Education, 3(1), 35–41.

Suryadi, D. (2019a). Landasan Filosofis Penelitian Desain Didaktis (DDR). Gapura Press.

Suryadi, D. (2019b). Penelitian Desain Didaktis (DDR) dan Implementasinya. Gapura Press.

Susanto, D., Kurniawan, T., Sihombing, S. K., Salim, E., Radjawane, M. M., Salmah, U., & Wardani, A. K. (2021). Buku Siswa Matematika SMA/SMK Kelas X. In Kementrian Pendidikan dan Kebudayaan.

Yeong, F. M. (2021). Using Asynchronous , Online Discussion Forums to Explore How Life Sciences Students Approach an Ill- Structured Problem. Teaching and Learning Inquiry, 9(1).




DOI: https://doi.org/10.24815/jdm.v12i1.43834

Article Metrics

Abstract view : 0 times
PDF - 0 times

Refbacks

  • There are currently no refbacks.


Copyright (c) Tsania Rahmatin, Jarnawi Afgani Dahlan, Al Jupri

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


Jurnal Didaktik Matematika

ISSN 2355–4185 (print) | 2548–8546 (online)

Published by:

Universitas Syiah Kuala incorporated with the Indonesian Mathematics Educators Society (I-MES)

Mathematics Education Department Faculty of Teacher Training and Education, Universitas Syiah Kuala, Darussalam, Banda Aceh, Indonesia - 23111

Website : http://jurnal.usk.ac.id/DM/ 
Email     : jurnal.jdm@usk.ac.id 

Creative Commons License

Jurnal Didaktik Matematika by Program Studi Magister Pendidikan Matematika FKIP Universitas Syiah Kuala is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.