Analisis Kemampuan Penalaran Matematis Peserta Didik dengan Penyajian Masalah Open-Ended Pada Pembelajaran Daring

Authors

  • Siti Sundari Agustin Universitas Muhammadiyah Prof. Dr. HAMKA
  • Sigid Edy Purwanto Universitas Muhammadiyah Prof. Dr. HAMKA
  • Samsul Maarif Universitas Muhammadiyah Prof. Dr. HAMKA
  • Joko Soebagyo Universitas Muhammadiyah Prof. Dr. HAMKA

DOI:

https://doi.org/10.51574/kognitif.v1i1.19

Keywords:

Penalaran Matematis, Masalah Open-Ended, Pembelajaran Daring

Abstract

ujuan penelitian ini untuk menganalisis kemampuan penalaran matematis peserta didik dengan penyajian masalahan open-ended pada pembelajaran daring. Metode penelitian yang digunakan adalah deskriptif dengan pendekatan kualitatif. Subjek penelitian ini adalah peserta didik kelas VIII-A SMP Negeri 52 Jakarta sebanyak 24 peserta didik. Untuk teknik pengumpulan data penelitian ini adalah tes tertulis dan wawancara. Sedangkan teknik analisis data menggunakan penskoran, penyajian data dan mendeskripsikan serta menarik kesimpulan dari data yang telah dikumpulkan. Hasil dari penelitian ini adalah kemampuan penalaran matematis peserta didik pada pembelajaran daring sangat ditentukan ketika peserta didik menyelesaikan permasalahan, khususnya permasalahan open-ended. Hal ini dapat ditunjukkan dari ketercapaian indikator menarik kesimpulan yang logis dengan kategori tinggi, membuat generalisasi dengan kategori sangat tinggi, memeriksa kesahihan dari pernyataan dengan kategori tinggi, memberikan alasan atau bukti terhadap kebenaran solusi dengan kategori sangat tinggi, dan menyusun  pembuktian  langsung dengan kategori tinggi. Dari ketercapaian indikator-indikator tersebut maka dapat disimpulkan bahwa rata-rata kemampuan penalaran matematis peserta didik dengan penyajian masalah open-ended pada pembelajaran daring termasuk kategori tinggi dengan persentase 76%.

Downloads

Download data is not yet available.

References

Agarwal, S., & Kaushik, J. S. (2020). Student’s Perception of Online Learning during COVID Pandemic. Indian Journal of Pediatrics, 87(7), 554. https://doi.org/10.1007/s12098-020-03327-7

Basturk, S. (2010). First-year secondary school mathematics students’ conceptions of mathematical proofs and proving. Educational Studies, 36(3), 283–298. https://doi.org/10.1080/03055690903424964

Boesen, J., Lithner, J., & Palm, T. (2010). The relation between types of assessment tasks and the mathematical reasoning students use. Educational Studies in Mathematics, 75(1), 89–105. https://doi.org/10.1007/s10649-010-9242-9

Danişman, Ş., & Erginer, E. (2017). The predictive power of fifth graders’ learning styles on their mathematical reasoning and spatial ability. Cogent Education, 4(1). https://doi.org/10.1080/2331186X.2016.1266830

Dharmawansa, A. D., Nakahira, K. T., & Fukumura, Y. (2013). Detecting eye blinking of a real-world student and introducing to the virtual e-Learning environment. Procedia Computer Science, 22, 717–726. https://doi.org/10.1016/j.procs.2013.09.153

Douglas, E. P., Koro-Ljungberg, M., McNeill, N. J., Malcolm, Z. T., & Therriault, D. J. (2012). Moving beyond formulas and fixations: Solving open-ended engineering problems. European Journal of Engineering Education, 37(6), 627–651. https://doi.org/10.1080/03043797.2012.738358

Faradillah, A. (2018). Analysis of Mathematical Reasoning Ability of Pre-Service Mathematics Teachers in Solving Algebra Problem Based on Reflective and Impulsive Cognitive Style. Formatif: Jurnal Ilmiah Pendidikan MIPA, 8(2), 119–128. https://doi.org/10.30998/formatif.v8i2.2333

Fisher, D., Kusumah, Y. S., & Dahlan, J. A. (2019). Junior High School Students’ Mathematical Reasoning Ability Analysis in Systems of Linear Equations and Applications. Journal of Physics: Conference Series, 1315(1), 1–6. https://doi.org/10.1088/1742-6596/1315/1/012044

Flegas, K., & Charalampos, L. (2013). Exploring Logical Reasoning and Mathematical Proof in Grade 6 Elementary School Students. Canadian Journal of Science, Mathematics and Technology Education, 13(1), 70–89. https://doi.org/10.1080/14926156.2013.758326

Gürbüz, R., & Erdem, E. (2016). Relationship between mental computation and mathematical reasoningi. Cogent Education, 3(1). https://doi.org/10.1080/2331186X.2016.1212683

Hasanah, A., & Karyati. (2018). The use of open ended problem in developing mathematical reasoning ability of junior high school students on geometry. International Conference on Mathematics and Science Education of Universitas Pendidikan Indonesia, 3, 763–767.

Ikram, M., Purwanto, & Parta, I. N. (2021). Analisis Terjadinya Penalaran Reversibel Untuk Kasus Invers: Studi Kasus Pada Subjek Adjie. International Journal of Progressive Mathematics Education, 1(1), 1–15.

Imai, T. (2000). The influence of overcoming fixation in mathematics towards divergent thinking in open-ended mathematics problems on Japanese junior high school students. International Journal of Mathematical Education in Science and Technology, 31(2), 187–193. https://doi.org/10.1080/002073900287246

Indriani, L. F., Yuliani, A., & Sugandi, A. I. (2018). Analisis Kemampuan Penalaran Matematis dan Habits Of Mind Siswa SMP Dalam Materi Segiempat Dan Segitiga. Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah Di Bidang Pendidikan Matematika, 4(2), 87–94. https://doi.org/10.29407/jmen.v4i2.11999

Johns, C., & Mills, M. (2021). Online Mathematics Tutoring During the COVID-19 Pandemic: Recommendations for Best Practices. Primus, 31(1), 99–117. https://doi.org/10.1080/10511970.2020.1818336

Konita, M., Asikin, M., & Noor Asih, T. S. (2019). Kemampuan Penalaran Matematis dalam Model Pembelajaran Connecting , Organizing , Reflecting , Extending. PRISMA,Prosiding Seminar Nasional Matematika, 2, 611–615.

Kosiret, A., Indiyah, F. H., & Wijayanti, D. A. (2021). Peningkatan Kemampuan Pemahaman Konsep Matematis Siswa SMA Islam Al-Azhar 19 Dengan menggunakan Model Pembelajaran Generatif. International Journal of Progressive Mathematics Education, 1(1), 16–26.

Kosyvas, G. (2016). Levels of arithmetic reasoning in solving an open-ended problem. International Journal of Mathematical Education in Science and Technology, 47(3), 356–372. https://doi.org/10.1080/0020739X.2015.1072880

Landrum, B., Bannister, J., Garza, G., & Rhame, S. (2020). A class of one: Students’ satisfaction with online learning. Journal of Education for Business, 0(0), 1–7. https://doi.org/10.1080/08832323.2020.1757592

Littlejohn, A. (2003). Supporting sustainable e-learning. Alt-J, 11(3), 88–102. https://doi.org/10.1080/0968776030110308

Morris, A. K. (2002). Mathematical reasoning: Adults’ ability to make the inductive-deductive distinction. Cognition and Instruction, 20(1), 79–118. https://doi.org/10.1207/S1532690XCI2001_4

Nabilah, E., Azhar, E., Purwanto, S. E., & Nabilah, E. (2021). Kecemasan Siswa Dalam Menyelesaikan Masalah Modelling Matematika Pada Praktek Kelas Virtual. 1(1).

Octaviani, K. D., Indrawatiningsih, N., & Afifah, A. (2021). Kemampuan Visualisasi Spasial Siswa Dalam Memecahkan Masalah Geometri Bangun Ruang Sisi Datar Kemampuan Visualisasi Spasial Siswa Dalam Memecahkan Masalah Geometri Bangun Ruang Sisi Datar. International Journal of Progressive Mathematics Education, 1(1), 27–40.

Olteanu, C. (2020). Programming, mathematical reasoning and sense-making. International Journal of Mathematical Education in Science and Technology, 1–19. https://doi.org/10.1080/0020739x.2020.1858199

Partanen, P., Jansson, B., & Sundin, Ö. (2020). Fluid reasoning, working memory and planning ability in assessment of risk for mathematical difficulties. Educational Psychology in Practice, 36(3), 229–240. https://doi.org/10.1080/02667363.2020.1736518

Psycharis, S., & Kallia, M. (2017). The effects of computer programming on high school students’ reasoning skills and mathematical self-efficacy and problem solving. Instructional Science, 45(5), 583–602. https://doi.org/10.1007/s11251-017-9421-5

Rizqi, N.R., & Surya, E. (2017). An Analysis of Students’ Mathematical Reasoning Ability In VIII Grade of Sablina Tembung Junior High School. International Journal of Advance Research and Innovative Ideas in Education (IJARIIE), 3(2 2017), 3527–3533. http://www.mendeley.com/research/6031c8fb-6049-3895-a27e-9fe7a6ce3126/

Robbins, J. K. (2011). Problem solving, reasoning, and analytical thinking in a classroom environment. The Behavior Analyst Today, 12(1), 41–48. https://doi.org/10.1037/h0100710

Rohana. (2015). The enhancement of student ’ s teacher mathematical reasoning ability through reflective learning. Journal of Education and Practice, 6(20), 108–115.

Santosa, F. H., Negara, H. R. P., & Samsul Bahri. (2020). Efektivitas Pembelajaran Google Classroom Terhadap Kemampuan Penalaran Matematis Siswa. Jurnal Pemikiran Dan Penelitian Pendidikan Matematika (JP3M), 3(1), 62–70. https://doi.org/10.36765/jp3m.v3i1.254

Sole, M. A. (2016). Multiple Problem-Solving Strategies Provide Insight into Students’ Understanding of Open-Ended Linear Programming Problems. Primus, 26(10), 922–937. https://doi.org/10.1080/10511970.2016.1199621

Sukirwan, Darhim, D., & Herman, T. (2018). Analysis of students’ mathematical reasoning. Journal of Physics: Conference Series, 948(1). https://doi.org/10.1088/1742-6596/948/1/012036

Syutaridho, M., & Pd. (2015). Pengembangan Soal Open Ended Pada Pokok Bahasan Pythagoras. Jurnal Pendidikan Matematika JPM RAFA, 1(1), 118–139.

Tan, S., & Maker, C. J. (2020). Assessing creative problem solving ability in mathematics: The DISCOVER Mathematics Assessment. Gifted and Talented International, 35(1), 58–71. https://doi.org/10.1080/15332276.2020.1793702

Tandililing, E. (2013). Pengembangan Kemampuan Koneksi Matematis Siswa Melalui Pendekatan Advokasi Dengan Penyajian Masalah Open-Ended Pada Pembelajaran Matematika. Makalah Dipresentasikan Dalam Seminar Nasional Matematika Dan Pendidikan Matematika Dengan Tema ”Penguatan Peran Matematika Dan Pendidikan Matematika Untuk Indonesia Yang Lebih Baik" Pada Tanggal 9November 2013 Di Jurusan Pendidikan Matematika FMIPA UNY, 203–210.

Downloads

Published

2021-06-01

How to Cite

Sundari Agustin, S., Sigid, Ma'arif, S. ., & Soebagyo, J. . (2021). Analisis Kemampuan Penalaran Matematis Peserta Didik dengan Penyajian Masalah Open-Ended Pada Pembelajaran Daring . Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 1(1), 66–80. https://doi.org/10.51574/kognitif.v1i1.19