Uncovering the Secrets Behind Enumeration Rules: The Art of Combinatorics Thinking

Main Article Content

Cahaya Bilkis
Martini
Muchamad Subali Noto
Irmawati Liliyana Kusuma Dewi

Abstract

This research aims to analyze students' combinatorial thinking skills after using learning worksheets on enumeration rules. This research aims to provide solutions by applying learning materials to improve students' combinatorial thinking skills in solving math problems. The research method used is qualitative research. The research technique in this case is to use data triangulation. The purpose of triangulation is to increase the validity and reliability of research findings by confirming or complementing findings from various sources or perspectives. The results in this study are the diversity of the fulfillment of indicators in the ability to think combinatorics, including students with the S-1 category can fulfill all indicators of combinatorics thinking ability. Students in the S-2 category only fulfill 1 indicator of combinatorics thinking ability. Students in the S-3 category could not fulfill all the indicators of combinatorics thinking ability.

Downloads

Download data is not yet available.

Article Details

How to Cite
Bilkis, C., Martini, Muchamad Subali Noto, & Irmawati Liliyana Kusuma Dewi. (2024). Uncovering the Secrets Behind Enumeration Rules: The Art of Combinatorics Thinking. International Journal of Educational Research Excellence (IJERE), 3(2), 905–911. https://doi.org/10.55299/ijere.v3i2.1154
Section
Articles

References

Аbdurаkhimovich, N. F. (2023). COMBINАTORY THINKING SKILL АND HOW TO DEVELOP IT. British View, VIII(9), 1–19.

Damayanti, R. (2021). Analisis Proses Berpikir Kombinatorik Siswa Dalam Menyelesaikan Soal Cerita Ditinjau Dari Gaya Belajar. Frontiers in Neuroscience, 14(1), 1–13.

Delmas, P. M., & Giles, R. L. (2023). Qualitative research approaches and their application in education. In International Encyclopedia of Education(Fourth Edition) (pp. 24–32). Elsevier. https://doi.org/10.1016/B978-0-12-818630-5.11003-6

Hara, S., & Ishihata, M. (2018). Approximate and exact enumeration of rule models. 32nd AAAI Conference on Artificial Intelligence, AAAI 2018, Section 3, 3157–3164. https://doi.org/10.1609/aaai.v32i1.11637

Inhelder, B., & Piaget, J. (1958). The growth of logical thinking: From childhood to adolescence. Basic Books. https://doi.org/10.1037/10034-000

Izza, R., Dafik, Kristiana, A. I., & Mursyidah, I. L. (2023). The Development of RBL-STEM Learning Materials to Improve Students’ Combinatorial Thinking Skills in Solving Local left(a,dright)-edge Antimagic Coloring Problems for Line Motif Batik Design. European Journal of Education and Pedagogy, 4(1), 145–153. https://doi.org/10.24018/ejedu.2023.4.1.571

Khunaifi, M. H., & Susanah, S. (2023). High School Students’ Combinatorial Thinking in Solving Combinatoric Problems Based on Mathematical Ability. MATHEdunesa, 12(2), 450–468. https://doi.org/10.26740/mathedunesa.v12n2.p450-468

Mone, C. G. A. (2021). Kaidah Pencacahan. 2013150015, 1–50.

Nathania, D. D. (2021). Kaidah Pencacahan. Fisheries Research, 140(1), 6. http://dspace.ucuenca.edu.ec/bitstream/123456789/35612/1/Trabajo de Titulacion.pdf%0Ahttps://educacion.gob.ec/wp-content/uploads/downloads/2019/01/GUIA-METODOLOGICA EF.pdf%0Ahttp://dx.doi.org/10.1016/j.fishres.2013.04.005%0Ahttps://doi.org/10.1038/s41598-

Oktaviani, M., Dwihapsari, K., Islami, M. N., Dewi, N. P., Fadhilah, R. N., & Palupi, Z. D. (2023). Cognitive Development of Elementary School Children in Developing Critical Thinking Ability and Understanding Mathematical Concepts. International Education Trend Issues, 1(3), 134–142. https://doi.org/10.56442/ieti.v1i3.178

Oros, V., & Petechuk, Y. (2022). INDEPENDENT ACTIVITY OF SCHOOL STUDENTS WHEN LEARNING MATHEMATICS. Scientific Bulletin of Uzhhorod University. Series: «Pedagogy. Social Work», 2(51), 94–97. https://doi.org/10.24144/2524-0609.2022.51.94-97

Pásztor, A., & Csapó, B. (2012). Improving Combinatorial Reasoning through Inquiry-Based Science Learning Attila Csapó. 289085, 289085.

Rezaie, M., & Gooya, Z. (2011). What do I mean by combinatorial thinking? Procedia - Social and Behavioral Sciences, 11, 122–126. https://doi.org/10.1016/j.sbspro.2011.01.046

Rifa’i, Y. (2023). Analisis Metodologi Penelitian Kulitatif dalam Pengumpulan Data di Penelitian Ilmiah pada Penyusunan Mini Riset. Cendekia Inovatif Dan Berbudaya, 1(1), 31–37. https://doi.org/10.59996/cendib.v1i1.155

Savenkov, A., Romanova, M., & Bold, L. (2021). Development of combinatorial abilities of students in the process of developing compositions of mathematical problems. SHS Web of Conferences, 98, 04003. https://doi.org/10.1051/shsconf/20219804003

Sidik, G. S., Suryadi, D., & Turmudi, T. (2021). Learning Obstacle on Addition and Subtraction of Primary School Students: Analysis of Algebraic Thinking. Education Research International, 2021, 1–10. https://doi.org/10.1155/2021/5935179

Susanto, D., Risnita, & Jailani, M. S. (2023). Teknik Pemeriksaan Keabsahan Data Dalam Penelitian Ilmiah. Jurnal QOSIM : Jurnal Pendidikan, Sosial & Humaniora, 1(1), 53–61. https://doi.org/10.61104/jq.v1i1.60

Velez, A. J., Dayaganon, D. G., Robigid, J., Demorito, J., Villegas, J., & Gomez, D. (2023). Difficulties and Coping Strategies in Understanding Mathematical Concepts in a Private Higher Education in Tagum City, Davao del Norte, Philippines. Davao Research Journal, 14(1), 45–54. https://doi.org/10.59120/drj.v14i1.10

Wahyuni, I., F, L. L. A. I., Nikmatuzzahro, A., & Febiani, D. I. (2023). Analisis Kemampuan Berpikir Kombinatorika Siswa Kelas XII MA Wahid Hasyim Dalam Memecahkan Soal Terapan Materi Peluang Kombinasi. JURNAL PEMBELAJARAN DAN MATEMATIKA SIGMA (JPMS), 9(1), 218–225. https://doi.org/10.36987/jpms.v9i1.4168